university school of sciences b.sc. non medical

University School of Sciences B.Sc. Non Medical 2015

Rayat Bahra University

University School of Sciences

Study scheme and Syllabus

2015 Onwards

Programme : Sciences

Level : Undergraduate

Course : B.Sc Non Medical



Study Scheme: B.Sc. (Non-Medical) Session:2015 Onwards

B.Sc. Non Medical Semester: I

S. No. Subject

Code

Subject Name Teaching Schedule Credits

L T P Tot

al

1 CY1101 Inorganic Chemistry-I 2 0 2 2

2 CY1102 Organic Chemistry-I 2 0 2 2

3 CY1103 Physical Chemistry-I 2 0 2 2

4 CY1104 Chemistry Practical - 0 4 4 2

5 PH1105 Mechanics – I 2 0 2 2

6 PH1106 Electricity and Magnetism –I 2 0 2 2

7 PH1107 Waves and Vibrations–I 2 0 2 2

8 PH1108 Physics Practical - 0 4 4 2

9 MS1109 Calculus-I 3 0 3 3

10 MS1110 Coordinate Geometry 3 0 3 3

11 MS1111 Quantitative Techniques-I 3 0 3 3

12 HV1112 Human Values & Professional Ethics 2 0 2 2

Total 23 0 8 31 27



B.Sc. Non Medical Semester:1I

S No. Subject Code Subject Name Teaching Schedule Credits

L T P Total

1 CY1201 Inorganic Chemistry-II 2 0 2 2

2 CY1202 Organic Chemistry-II 2 0 2 2

3 CY1203 Physical Chemistry-II 2 0 2 2

4 CY1204 Chemistry Practical - 0 4 4 2

5 PH1205 Mechanics – II 2 0 2 2

6 PH1206 Electricity and Magnetism –II 2 0 2 2

7 PH1207 Waves and Vibrations -II 2 0 2 2

8 PH1208 Physics Practical - 0 4 4 2

9 MS1209 Calculus-II 3 0 3 3

10 MS1210 Linear Algebra 3 0 3 3

11 MS1211 Quantitative Techniques-II 3 0 3 3

12 ES1212 Environmental Studies 2 0 2 2

Total 23 0 8 31 27



B.Sc. Non Medical Semester:III

S. No. Subject Code Subject Name Teaching Schedule Credits

L T P Total

1 CY2301 Inorganic Chemistry-III 2 0 2 2

2 CY2302 Organic Chemistry-III 2 0 2 2

3 CY2303 Physical Chemistry-III 2 0 2 2

4 CY2304 Chemistry Practical 0 4 4 2

5 PH2305 Optics 2 0 2 2

6 PH2306 Quantum Mechanics-I 2 0 2 2

7 PH2307 Statistical Physics 2 0 2 2

8 PH2308 Physics Practical 0 4 4 2

9 MS2309 Analysis-1 3 0 3 3

10 MS2310 Ordinary Differential Equations 3 0 3 3

11 MS2311 Number Theory-1 3 0 3 3

12 FS2312 English-I 2 0 2 2

Total 23 0 8 31 27



B.Sc. Non Medical Semester:IV

S. No. Subject Code Subject Name Teaching Schedule Credits

L T P Total

1 CY2401 Inorganic Chemistry-IV 2 0 2 2

2 CY2402 Organic Chemistry-IV 2 0 2 2

3 CY2403 Physical Chemistry-IV 2 0 2 2


5 PH2405 Thermodynamics 2 0 2 2

6 PH2406 Quantum Mechanics-II 2 0 2 2

7 PH2407 Laser & Optical Fibre 2 0 2 2


9 MS2409 Analysis-II 3 0 3 3

10 MS2410 Group Theory 3 0 3 3

11 MS2411 Number Theory-II 3 0 3 3

12 FS2412 English-II 2 0 2 2

Total 23 0 8 31 27



B.Sc. Non Medical Semester:V

S. No. Subject

Code

Subject Name Credits

L T P Total

1 CY3501 Inorganic Chemistry-V 2 0 2 2

2 CY3502 Organic Chemistry-V 2 0 2 2

3 CY3503 Physical Chemistry-V 2 0 2 2


5 PH3505 Condensed Matter Physics-I 2 0 2 2

6 PH3506 Nuclear & Particle Physics-I 2 0 2 2

7 PH3507 Electronics-I 2 0 2 2


8 MS3509 Discrete Structures & Graph theory 3 0 3 3

9 MS3510 Some Specials functions & Integral

Transforms

3 0 3 3

10 MS3511 Calculus of several variables 3 0 3 3

11 FS3512 Effective Communication Skills-I 2 0 2 2

12 CY3513 Project - Chemistry 0 2 2 1

13 PH3514 Project -Physics 0 2 2 1

Total 23 0 12 35 29

B.Sc. Non Medical Semester:VI

S. No. Subject Code Subject Name Credits

L T P Total

1 CY3601 Inorganic Chemistry-VI 2 0 2 2

2 CY3602 Organic Chemistry-VI 2 0 2 2

3 CY3603 Physical Chemistry-VI 2 0 2 2


5 PH3605 Condensed Matter Physics-II 2 0 2 2

6 PH3606 Nuclear & Particle Physics-II 2 0 2 2

7 PH3607 Electronics-II 2 0 2 2 8 PH3608 Physics Practical 0 4 4 2

9 MS3609 Partial Differential Equations 3 0 3 3

10 MS3610 Numerical Analysis 3 0 3 3

11 MS3611 Mechanics 3 0 3 3

12 FS3612 Effective Communication Skills-II 2 0 2 2 13 MS3613 Project - Maths 0 2 2 1 Total 23 0 10 33 28



Syllabus

Semester-1



B. Sc (Non-Medical) Semester –I Syllabus

Sub Code Subject Name L T P C

CY1101 INORGANIC CHEMISTRY-I 2 0 0 2

UNIT-I Atomic Structure

Idea of de Broglie matter waves, Heisenberg uncertainty principle, atomic orbitals, Schrodinger

wave equation, significance of 2, quantum numbers, radial and angular wave functions

and probability distribution curves, shapes of s, p, d orbitals. Aufbau and Pauli exclusion

principles, Hund’s multiplicity rule. Electronic configurations of the elements and ions.

UNIT-II Periodic Properties

Position of elements in the periodic table, effective nuclear charge and its calculations, Atomic

and ionic radii, ionization energy, electron affinity and electronegativity—definition, methods of

determination or evaluation, trends in periodic table and applications in predicting and

explaining the chemical behaviour.

UNIT-III Chemistry of Noble Gases

Chemical properties of the noble gases, chemistry of xenon, structure and bonding in xenon

compounds.

UNIT-IV s-Block Elements

Comparative study, diagonal relationships, salient features of hydrides, solvation and

complexation tendencies including their function in biosystems, an introduction to alkyls and

aryls.

UNIT-V Chemical Bonding-I

Covalent Bond – Valence bond theory and its limitations, directional characteristics of covalent

bond, various types of hybridization and shapes of simple inorganic molecules and ions BeF2,

BF3, CH4, PF5, SF6, IF7, SnCl2, XeF4, BF4-, PF6-, SnCl62-

. Valence shell electron pair repulsion

(VSEPR) theory to NH3, H3O+, SF4, ClF3, ICl

- and H2O. MO theory, homonuclear (elements and

ions of 1st and 2

nd row), and heteronuclear (BO, CN, CO

+, NO

+, CO, CN

-), diatomic molecules,

multicenter bonding in electron deficient molecule (Boranes). Percentage ionic character from

dipole moment and electronegativity difference.

Recommended Books

1. Cotton, F.A., Wilkinson, G., Gaus, P.L., Basic Inorganic Chemistry; 2nd edition, Pubs: John

Wiley

and Sons, 1995.

2. Lee, J.D., Concise Inorganic Chemistry; 4th edition, Pubs: Chapman & Hall Ltd., 1991.

3. Shriver, D.E., Atkins, P.W., Inorganic Chemistry; 4th edition, Pubs: Oxford University Press,

2006.

4. Douglas, B., Medaniel, D., Atenander, J., Concepts and Models of Inorganic Chemistry; 3rd

edition,

Pubs: John Wiley and Sons Inc., 1994.



5. Porterfeild, W.W., Wesky, A., Inorganic Chemistry; Pubs: Addison-Wesley Publishing

Company,

1984.

6. Miessler, G.L., Tarr, D.A., Inorganic Chemistry; 3rd edition, Pubs: Pearson Education Inc.,

2004.

7. Jolly, W.L., Modern Inorganic Chemistry; 2nd edition, Pubs: Tata McGraw-Hill Publishing

Company Limited, 1991.

8. Purcell, K.F., Kotz, J.C., Inorganic Chemistry; Pubs: W.B. Saunders Company, 1977.

9. Puri, B.R., Sharma, L.R., Kalia, K.K., Principles of Inorganic Chemistry; 30th edition, Pubs:

Milestones Publisher, 2006-07.





CY1102 ORGANIC CHEMISTRY-I 2 0 0 2

UNIT-I Structure and Bonding

Hybridization, bond lengths and bond angles, bond energy, localized and delocalized chemical

bond, Van der Waals interactions, resonance, hyperconjugation, aromaticity, inductive and field

effects, hydrogen bonding.

UNIT-II Mechanism of Organic Reactions

Curved arrow notation, drawing electron movements with arrows, half-headed and doubleheaded

arrows, homolytic and heterolytic bond breaking. Types of reagents—electrophiles and

nucleophiles. Types of organic reactions. Energy considerations. Reactive intermediates—

Carbocations, carbanions, free radicals, carbenes, arynes and nitrenes (with examples).

Assigning formal charges on intermediates and other ionic species. Methods of determination of

reaction mechanism (product analysis, intermediates, isotope effects, kinetic and stereochemical

studies).

UNIT-III Alkanes and Cycloalkanes

Isomerism in alkanes, sources, methods of formation (with special reference to Wurtz reaction,

Kolbe reaction, Corey-House reaction and decarboxylation of carboxylic acids), physical

properties and chemical reactions of alkanes. Mechanism of free radical halogenation of alkanes:

Orientation, reactivity and selectivity.

Cycloalkanes—nomenclature, methods of formation, chemical reactions, Baeyer’s strain theory

and its limitations. Ring strain in small rings (cyclopropane and cyclobutane), theory of stainless

rings. The case of cyclopropane ring : banana bonds.

UNIT-IV Stereochemistry of Organic Compounds

Concept of isomerism, Types of isomerism. Optical isomerism—Elements of symmetry,

molecular chirality, enantiomers, stereogenic centre, optical activity, properties of enantiomers,

chiral and achiral molecules with two stereogenic centers, diastereo1ers, threo and erythro

diastereomers, meso compounds, resolution of enantiomers, inversion, retention and

racemization. Relative and absolute configuration, sequence rules, D & L and R & S systems of

nomenclature. Geometric isomerism—Determination of configuration of geometric isomers. E &

Z system of nomenclature, geometric isomerism in oximes and alicyclic compounds.

Conformational isomerism—Conformational analysis of ethane and n-butane; conformations of

cyclohexane, axial and equatorial bonds, conformation of mono substituted cyclohexane

derivatives. Newman projection and Sawhorse formulae, Fischer and flying wedge formulae.

Difference between configuration and conformation.

Recommended Books

1. Morrison, R.T., Boyd, R.N., Organic Chemistry, 6th Edition, Pubs : Prentice-Hall, 1992.

2. Solomons, T.W., Fryhle, C.B., Organic Chemistry, 9th Edition, Pubs : Wiley India, 2007.

3. Wade Jr., L.G., Singh, M.S., Organic Chemistry, 6th Edition, Pubs : Pearson Education, 2008.



4. Mukherji, S.M., Singh, S.P., Kapoor, R.P., Organic Chemistry, Pubs : New Age International,

1985.

5. Carey, F.A., Sundberg, R.J., Advanced Organic Chemistry Part B: Reactions and Synthesis,

5th

Edition, Pubs : Springer, 2007.





CY1103 PHYSICAL CHEMISTRY-I 2 0 0 2

UNIT-I Mathematical Concepts and Evaluation of Analytical Data

Logarithmic relations, curve sketching, linear graphs and calculation of slopes, differentiation

and integration of functions like ex, xn, sin x, log x; maxima and minima, partial differentiation

and reciprocity relations. Terms of mean and median, precision and accuracy in chemical

analysis, determining accuracy of methods, improving accuracy of analysis, data treatment for

series involving relatively few measurements, linear least squares curve fitting, types of errors,

standard deviation.

UNIT-II Colloidal State

Definition of colloids, classification of colloids. Solids in Liquids (sols) : Properties – Kinetic,

optical and electrical; stability of colloids, protective action, Hardy-Schulze rules, gold number.

Liquids in Liquids (emulsions) : Types of emulsions, preparation, Emulsifier. Liquids in Solids

(gels) : Classification, preparation and properties, inhibition, general applications of colloids.

UNIT-III Chemical Kinetics

Chemical kinetics and its scope, rate of a reaction, factors influencing the rate of a reaction –

concentration, temperature, pressure, solvent, light, catalyst. Concentration, dependence of rates,

mathematical characteristics of simple chemical reactions – zero order, first order, second order,

pseudo order, half life and mean life. Determination of the order of reaction – differential

method, method of integration, method of half life period and isolation method. Radioactive

decay as a first order phenomenon.

UNIT-IV Theories of Chemical Kinetics and Catalysis

Theories of Chemical Kinetics : Effect of temperature on rate of reaction, Arrhenius equation,

concept of activation energy. Simple collision theory based on hard sphere model, transition state

theory (equilibrium hypothesis). Expression for the rate constant based on equilibrium constant

and thermodynamic aspects. Catalysis and general characteristics of catalytic reactions,

Homogeneous catalysis, acid-base catalysis and enzyme catalysis including their mechanisms,

Michaelis Menten equation for enzyme catalysis and its mechanism.

Recommended Books

1. Atkins, P., Paula, J.de, Atkins Physical Chemistry; 8th edition, Pubs: Oxford University Press,

2008.

2. Puri, B.R., Sharma, L.R., Pathania, M.S., Principles of Physical Chemistry; 43rd edition,

Pubs: Vishal Publishing Co., 2008.

3. Barrow, G.M., Physical Chemistry; 6th edition, Pubs: McGraw Hill Inc., 1996.

4. Rao, C.N.R., University General Chemistry; Pubs: Macmillan India, 1985.

5. Berry, R.S., Rice, S.A., Ross, J., Physical Chemistry, 2nd edition, Pubs: Oxford University

Press, 2000.



6. Albert, R.A., Silbey, R.J., Physical Chemistry; 1st edition, Pubs: John Wiley & Sons Inc.,

1992.

7. Dogra, S.K., Dogra, S., Physical Chemistry Through Problems; Pubs:Wiley Eastern Limited,

1991.

8. Levine, I.N., Physical Chemistry; 5th edition, Pubs: Tata McGraw Hill Publishing Co. Ltd.,

2002.

9. Moore, W. J., Basic Physical Chemistry; Pubs: Prentice Hall of India Pvt. Ltd., 1983.

10. Metz, C.R., Theory and Problems of Physical Chemistry; Schaum’s Outline Series, 2nd

edition, Pubs: McGraw-Hall Book Company, 1989.





CY1104 CHEMISTRY PRACTICAL 0 0 4 2

INORGANIC CHEMISTRY :

(a) Qualitative Analysis :

Semimicro Analysis, cation analysis, separation and identification of ions from groups I, II, III,

IV, V and VI. Anion analysis (4 ions).

Four ions with no interference (anions such as PO3-

, BO3-

and similar anions like Cl-, Br

-, I

- etc.)

may not be given.,

(b) Quantitative Analysis :

Volumetric titration involving acid-base, KMnO4 and K2Cr2O7.

There are three experiments – one involving acid-base titrations, one involving KMnO4and one

involving K2Cr2O7.

1. Determination of strength of Na2Co3 solution by titrating it against a standard solution

of HCl.

2. Determination of molarity of KMnO4 solution by titrating it against a standard solution of

Oxalic acid.

3. Standardize the given K2Cr2O7 solution by titrating it against a standard solution of Mohr’s

salt.

ORGANIC CHEMISTRY :

Crystallization :

Concept of induction of crystallization

1. Phthalic acid from hot water (using fluted filter paper and stemless funnel).

2. Acetanilide from boiling water.

3. Naphthalene from ethanol.

4. Benzoic acid from water.





PH1105 Mechanics-I 2 0 0 2

Course Objective The objective of this course is to analyze the motion of particles relative to a frame of

reference and to analyze the motion of a torsional pendulum or physical pendulum also

to understand statement of Kepler’s three laws of planetary motion and their uses.

UNIT-1

Cartesian and spherical polar co-ordinate systems, area, volume, velocity, and acceleration in

these systems, solid ang Relationship of conservation laws and symmetries of space and

time.

(7hrs)

UNIT-2

Various forces in Nature centre of mass, equivalent one body problem, central forces,

equation of motion under central force, equation of orbit and turning points. Kepler Laws .

Elastic collision in Lab. and C.M. systems, velocities, angles, and energies, cross section of

elastic scattering, Rutherford scattering, Inertial frame of reference, Galilean transformation

and Invariance. Non-Inertial frames, coriolis force and its applications. Variation of

acceleration due to gravity with latitude. Foucault pendulum.

(19hrs)

Total (26hrs)

Learning Outcome

Analyzing the motion of particles relative to a frame of reference that is accelerating

horizontally or vertically at a uniform rate.

Analyzing the motion of a torsional pendulum or physical pendulum in order to determine

the period of small oscillation

Using Kepler’s three laws of planetary motion to describe in qualitative terms the motion of

an object in an elliptical orbit.

Text Book : Mechanics, H.S. Hans & S.P. Puri.

Reference Books: 01 :. An Introduction to Machines, Daniel Kleppner & Robert J.

Kolenkow (TMH).

02 : Introduction of Classical Mechanics, R.G. Takwale & P.S. Puranik (TMH, 2000).

03 : Basic Concepts of Relativity, R.H. Good (East-West Press, New Delhi, 1974).





PH1106 Electricity & Magnetism-I 2 0 0 2

Course Objective

The objective of this course is to understand Coulomb’s Law to analyze the motion of a particle

of specified charge ,to calculate the potential difference between two points in a uniform electric

field and to to describe polarization and induced charge.

UNIT-1

Gradient, Divergence, curl and their physical significance, Laplacian in rectangular, cylindrical

and spherical coordinates. Coulomb’s Law for point charges and continuous distribution of

charges, electric field due to dipole, line charge and sheet of charge. Gauss’s divergence theorem

and differential form of Gauss’s Law.

(7hrs)

UNIT-2

Work and potential difference, Potential difference as line integral of field, Electric potential due

to dipole ,long uniformly charged wire, charged disc. Stoke’s theorem and its applications in

Electrostatic field, , Electric field as gradient of scalar potential. Calculation of E due to a point

charge and dipole ,Poisson and Laplace’s equation and their solutions in Cartesian and spherical

coordinates, Calculation of electric potential and field due to a point charge placed near an

infinitely conducting sheet. Polarization of matter, atomic and molecular dipoles, induced dipole

moment and atomic polarizability. Electric susceptibility and polarization vector.Capacity of a

capacitor filled with dielectric. Relation K= 1 + χ, Gauss’s law for dielectrics. Displacement

vector,Div. D = 0, Energy stored in dielectric medium.

(19hrs)

Total (26hrs)

Learning Outcome

Analyzing the motion of a particle of specified charge and mass under the influence of an

electrostatic force

Deriving potential difference and to state which point is at the higher potential

Text Book : Electricity & Magnetism, A.S. Mahajan & A.A. Rangwala (Tata McGraw Hill).

Reference Books: 01 : Fundamentals of Electricity and Magnetism by Arthur F. Kipp

02 : Electricity & Magnetism, 4th Edition, W.J. Duffin

03 : EM Waves and Radiating Systems, Edward C. Jordan and K. G. Balmain, Prentice Hall.





PH1107 Waves & Vibrations-1 2 0 0 2

Course Objective

The objective of this course is to describe how the apparent frequency of waves change as a

wave source moves and to study differential equation for forced mechanical and electrical

oscillators and discuss their cases and to study Power supplied to an oscillator and its variation

with frequency and Q-value.

UNIT-1

Simple harmonic motion, energy of a SHM, Compound Pendulum, Torsional Pendulum,

Electrical Oscillations, composition of two perpendicular SHM of same period Decay of free

vibrations due to damping, differential equation of motion ,types of damping, determination of

damping co-efficient—Logarithmic decrement, relaxation time and Q-Factor. Electromagnetic

damping (Electrical oscillator).

(13hrs)

UNIT-2

Differential equation for forced mechanical and electrical oscillators, Transient and steady state

behavior,. Displacement and velocity variation with driving force frequency, variation of phase

with frequency ,resonance. , Power supplied to an oscillator and its variation with frequency. Q-

value and band width. Q-value as an amplification factor.

(13hrs)

Total (26hrs)

Learning Outcome

Discussing the decay of free vibrations due to damping and differential equations of motion

Deriving the Differential equation for forced mechanical and electrical oscillators

Determining of damping co-efficient—Logarithmic decrement, relaxation time and Q-Factor

Text Book : Text Book of Vibrations and Waves by S.P. Puri (Macmillan India Ltd.).

Reference Books: 01 : Vibrations and Waves by A.P. French (Arnold Heinemann India, New

Delhi).

02 : The Mathematics of Waves and Vibrations by P.K. Ghosh (Mcmillan India).

03 : Waves and Oscillations by N. Subrahmanayam & B. Lal (Vikas Pub., Delhi).





PH1108 Physics Practical 0 0 4 2

List of Experiments : Do any seven

1. Moment of inertia of a fly-wheel.

2. To find ‘g ‘ by Bar pendulum.

3. To measure the logarithmic decrement coefficient of damping, relaxation time and

quality factor of damped simple pendulum.

4. Young’s modulus by bending of beam.

5. Study of oscillations by Melde’s apparatus

6. To find the capacitance of capacitor using flashing and quenching of neon lamp.

7. To measure resistance of a wire using Carey Foster bridge.

8. Study of resonance in parallel LCR circuits.

9. Study of resonance in series LCR circuits

10.To use Multimeter for measuring a

a) voltage AC/DC

b) current AC/DC

c) Resistance

Suggested Readings / Books

1. Practical Physics, C.L. Arora, S. Chand & Co.

2. Practical Physics, R.S. Sirohi, Wiley Eastern.



B.Sc (Non-Medical) Semester –I Syllabus


3 0 0 3

MS1109 Calculus - I

Course Objective

Calculus is one of the major branches of mathematics that finds application in almost all the

fields of science. This course is an introduction to calculus. Students will be introduced to the

concepts of limits, derivatives, integrals and infinite series.

UNIT-1 Limits and continuity [04 hours]

- definition of the limit of a function. Basic properties of limits. Continuous functions and

Classification of discontinuities. Removable discontinuity, Discontinuity of 1st , 2

nd and 3

rd Kind.

UNIT-2 Differential Calculus [06 hours]

Differentiability. Applications of Derivatives. Rolle’ theorem. Lagrange’ theorem. Maxima

minima and increasing and decreasing functions.

UNIT-3 Curvature and Curve Tracing [07 hours]

Introduction to Curvature. Rules for finding curvature for different types of curves. Rules for

finding maxima and minima and increasing and decreasing functions. Asymptotes. Test for

concavity and convexity. Points of inflexion. Tracing of Cartesian, polar and parametric Curves.

UNIT-4 Definite Integral [06 hours]

Introduction to non integrable functions. Partition of a function into open intervals and finding

the upper bound and lower bound of a function over each interval. Reimann sum and definite

integrals. Application of Riemann sum in finding the Area bounded by the curves. Properties of

Riemann sum. Mean value theorem. The fundamental theorem of definite integral.

UNIT-5 Applications of definite integrals [05 hours]

Applications of integrals. Areas between curves. Finding volumes by slicing. Volumes of solids

of Revolution-Disks and Washers. Cylindrical Shells. Lengths of plane curves. Areas of surfaces

of revolution.

UNIT-6 Infinite Series [06 hours]



Limits of sequence of numbers. Theorems for calculating limits of sequences, Infinite Series.

Bounded and Monotonic sequences, Cauchys convergence criterion. Series of non-negative

terms. Comparison tests. Cauchys’ Integral test. Ratio tests.

UNIT-7 Alternating series. [05 hours]

Absolute and conditional convergence. Leibnitz Theorem, Uniform convergence. Weirstrass M

test for Absolute and Uniform convergence, Convergence of Taylor Series, Error Estimates.

Applications of Power Series.

Course Learning Outcome:

After learning Calculus-I, students will be able to

1. Ability to sketch graphs, using function, its first derivative, and the second derivative;

2. Ability to apply the procedures of differentiation accurately, including implicit and

logarithmic differentiation to solve related rates and extreme value problems;

3. Calculate the volumes of solid objects, the length of arcs and the surface area;

Text Book :

1. B.S.Grewal :Higher Engineering Mathematics,Khanna Publications.

Reference Books:

1. R.K.Jain & S.R.K. Iyenger, Advance Engineering Mathematics, Narosa

Publishing House.

2. George B. Thomas and Ross L. Finney: Calculus and Analytic Geometry, 9th

Edition, Addison Wesley, 1998

3. E.Kreyszig :Advanced Engineering Mathematics-Volume-I,JohnWiley & Sons





MS1110 Coordinate Geometry 3 0 0 3

Objective

Geometry is derived from real world measurements of lines, planes and solids. A systematic

logical approach is required to understand it. The objective is to provide basic understanding of

the geometry of two and three dimensions.

UNIT-1: Pair of Straight lines [05 hours]

Joint equation of pair of straight lines and angle between them, condition of parallelism and

perpendicularity, joint equation of the angle bisectors, joint equation of lines joining origin to the

intersection of a line and a curve.

UNIT-2: Circle [06 hours]

General equation of circle, circle through intersection of two lines, Tangents and Normals, Chord

of contact, pole and polar, pair of tangents from a point, equation of chord in terms of midpoint,

angle of intersection and orthogonality, power of a point w.r.t circle, radical axis, co-axial family

of circles ,limiting points.

UNIT-3: Conic [06 hours]

Conic: General equation of conic, Tangents, normals, chord of contact, pole and polar of

tangents from a point, equation of chord in terms of midpoint, diameter. Conjugate diameters of

ellipse and hyperbola, special properties of parabola, ellipse and hyperbola, conjugate hyperbola,

asymptotes of hyperbola, rectangular hyperbola.

UNIT-4: Transformation of axes in two dimensions [04 hours]

Shifting of origin, rotation of axes, the second degree equation S=ax2+2hxy+by

2+2gx+2fy+c=0,

its invariants t, and O. Reduction of the second degree equation into standard form.

Identification of curves represented by S=0 (including pair of lines).

UNIT-5: Polar coordinates [04 hours]

Polar equations of straight lines ,circles and conics. Polar equation of chords, tangents and

normal only.

UNIT-6: Lines and planes [07 hours]



Review of lines and planes in 3-dimension, change of axes, shift of origin, rotation of axes,

sphere, section of a sphere by a plane. Sphere through a given circle. Intersection of a line and

sphere, tangent line, tangent plane, angle of intersection of two spheres and condition of

orthogonality, power of a point w.r.t a sphere, Radical planes, radical axis, radical centre, coaxial

family of spheres, limiting points.

UNIT-7: Solid Geometry [07 hours]

Cylinder, Cone with vertex at origin as the graph of homogeneous equation of second degree in

x,y,z, cone as a surface generated by a line passing through fixed curve and a fixed point outside

the plane of the curve, reciproval cones, right circular and elliptic cones, right circular cone as a

surface of revolution obtained by rotating the curve in a plane about an axis, enveloping cones,

ellipsoid, equations of hyperboloids, paraboloids in the standard form, tangent planes and

normals.


After learning Coordinate Geometry, students can:

1. Represent and solve a system of coplanar and concurrent forces.

2. Construct simple and diagonal scales and apply them to a drawing.

3. Draw the locus of moving parts and mechanisms, trace and name the locus of a

point that moves along and around a cylinder at a constant rate (helix).

Text Book :

1. Shanti Narayan and P.K Mittal: Analytical Solid Geometry,17th

Revised Edition,

S.Chand and Co., New Delhi, 2006.

Reference Books:

1. H. K. Dass, Higher Engineering Mathematics, S. Chand Publishers, 2011

2. B.S.Grewal :Higher Engineering Mathematics,Khanna Publications

3. P.K Jain and Khalil Ahmed: A text book of Analytical Geometry of two dimensions,

Wiley Eastern Ltd, 1994.





MS1111 Quantitative Techniques-I 3 0 0 3

Course Objective

To make the students familiar with various techniques used in summarization and analysis of

data. The course will also lay the foundation to probability theorem through various probability

distributions.

UNIT-1: Statistics and its scope: [05 hours]

Introduction to statistics: meaning, scope, importance and limitations, applications of inferential

statistics in managerial decision-making.

UNIT-2: Analysis of data: [04 hours]

Source of data, collection, classification, tabulation, depiction of data. Graphical representation

of data: frequency polygon, histogram,bar chart and pie chart.

UNIT-3: Measures of Central tendency: [08 hours] Definition of measures of central tendency. Its various measures: Arithmetic mean, harmonic

mean, weighted mean, geometric mean, median and mode. Calculation of these measures for raw

data, frequency data and grouped data. Their advantages and disadvantages.

UNIT-4: Measures of Dispersion : [08 hours] Definition of Dispersion. Various measures for finding the dispersion like Range, inter Quartile

deviation, percentile, Mean deviation, Standard deviation, Coefficient of variation. Calculation

of these measures for raw data, frequency data and grouped data. Their advantages and

disadvantages.

UNIT-5: Measures of distribution: [07 hours] Various types of measures of distribution for different types of data. Skewness-meaning and co-

efficient of skewness. Kurtosis. Various types of skewness and Kurtosis.

UNIT-6: Sampling and Sampling Distribution: [07 hours]

Concept and definitions, census and sampling, probability samples and non-probability samples,

relationship between sample size and errors, simple numerical only.


After learning Quantitative techniques-I, students can:

1. Understand different types of numerical data and different data collection processes, and be

able to present data effectively for users in business and management



Text Book :

1. S P Gupta, Statistical Methods, Sultan Chand

Reference Books:

1. Beri, Business Statistics, Tata Mc Graw Hill

2. Croucher, Statistics: Making Business Decisions, Tata McGraw Hill

3. Bali, N.P. and Gupta P.N., A Text book of quantitative techniques, Luxmi

Publications.





2 0 0 2

HV1112 Human Values & Professional Ethics

1. Course Introduction

Need, Basic Guidelines, Content and Process forValue Education, Understanding the need, basic

guidelines, content and process for Value Education. Self Exploration–what is it?- its content and

process;,Natural Acceptance‟ and Experiential Validation- as the mechanism for self

exploration,Continuous Happiness and Prosperity- A look at basic Human Aspirations,

Right understanding, Relationship and Physical Facilities- the basic requirements for fulfillment

of aspirations of every human being with their correct priority, Understanding Happiness and

Prosperity correctly- A critical appraisal of the current scenario Method to fulfill the above

human aspirations: understanding and living in harmony at various levels

2. Understanding Harmony in the Human Being - Harmony in Myself!

Understanding human being as a co-existence of the sentient „I‟ and the material

„Body‟,Understanding the needs of Self („I‟) and „Body‟ - Sukh and Suvidha , Understanding

the Body as an instrument of „I‟ (I being the doer, seer and enjoyer), Understanding the

characteristics and activities of „I‟ and harmony in „I‟ Understanding the harmony of I with the

Body: Sanyam and Swasthya; correct appraisal of Physical needs, meaning of Prosperity in

detail , Programs to ensure Sanyam and Swasthya.

3. Understanding Harmony in the Family and Society- Harmony in Human-Human

Relationship

Understanding harmony in the Family- the basic unit of human interaction, Understanding values

in human-human relationship; meaning of Nyaya and program for its fulfillment to ensure

Ubhay-tripti; Trust (Vishwas) and Respect (Samman) as the foundational values of relationship,

Understanding the meaning of Vishwas; Difference between intention and competence.

Understanding the meaning of Samman, Difference between respect and differentiation; the other

salient values in relationship, Understanding the harmony in the society (society being an

extension of family): Samadhan, Samridhi, Abhay, Sah-astitva as comprehensive Human Goals ,

Visualizing a universal harmonious order in society- Undivided Society (Akhand Samaj),

Universal Order (Sarvabhaum Vyawastha )- from familyto world family.

4. Understanding Harmony in the Nature and Existence - Whole existence as Co-existence

Understanding the harmony in the Nature ,Interconnectedness and mutual fulfillment among the

four orders of nature-recyclability and self-regulation in nature Understanding Existence as Co-

existence (Sah-astitva) of mutuallyinteracting units in all-pervasive space , Holistic perception of

harmony at all levels of existence .

5. Implications of the above Holistic Understanding of Harmony on Professional Ethics



Natural acceptance of human values , Definitiveness of Ethical Human Conduct, Basis for

Humanistic Education, Humanistic Constitution and Humanistic Universal Order , Competence

in professional ethics:,Ability to utilize the professional competence for augmenting universal

human order ,Ability to identify the scope and characteristics of people-friendly and eco-friendly

production systems ,Ability to identify and develop appropriate technologies and management

patterns for above production systems,Case studies of typical holistic technologies, management

models and production systems, Strategy for transition from the present state to Universal

Human Order,At the level of individual: as socially and ecologically responsible engineers,

technologists and managers,At the level of society: as mutually enriching institutions and

organizations.

Recommended Books:

1. R R Gaur, R Sangal, G P Bagaria, 2009, A Foundation Course in Value

Education.

2. Ivan Illich, 1974, Energy & Equity, The Trinity Press, Worcester, and

HarperCollins, USA

3. E.F. Schumacher, 1973, Small is Beautiful: a study of economics as if people

mattered, Blond & Briggs, Britain.

9. B P Banerjee, 2005, Foundations of Ethics and Management, Excel Books.

10. B L Bajpai, 2004, Indian Ethos and Modern Management, New Royal Book

Co., Lucknow. Reprinted 2008.



Syllabus

Semester-2



B. Sc (Non-Medical) Semester –II Syllabus


CY1201 INORGANIC CHEMISTRY-II 2 0 0 2

OBJECTIVE OF THE COURSE:

To make students well versed with fundamental concepts of Inorganic Chemistry as well as their

applications. The syllabus pertaining to B.Sc. (Non-medical) (3 Year course) in the subject of

Chemistry has been designed as per provision of the UGC module and demand of the academic

environment. The course contents have been included as per suggestions of the teachers of the

Chemistry working in reputed universities and affiliated colleges. The syllabus contents are duly

arranged Unit wise and contents are included in such a manner so that due importance may be

given to requisite intellectual and laboratory skills.

UNIT-I: Chemical Bonding-II : 13 Hrs.

Ionic Solids – Concept of close packing, Ionic structures, (NaCl type, Zinc blende, Wurtzite,

CaF2 and antifluorite), radius ratio rule and coordination number, limitation of radius ratio rule,

lattice defects, semiconductors, lattice energy and Born-Haber cycle, solvation energy and

solubility of ionic solids, polarizing power and polarisability of ions, Fajan’s rule. Metallic bond

free electron, valence bond and band theories. Weak Interactions –Hydrogen bonding, Van der

Waals forces.

UNIT-2: p-Block Elements : 13 Hrs.

Comparative study (including diagonal relationship) of groups 13-17 elements, compounds like

hydrides, oxides, oxyacids and halides of groups 13-16, hydrides of boron-diborane and higher

boranes, borazine, borohydrides, fullerenes, carbides, fluorocarbons, silicates (structural

principle), tetrasulphur tetranitride, basic properties of halogens, interhalogens and polyhalides.

Books Suggested :

1. Cotton, F.A., Wilkinson, G., Gaus, P.L., Basic Inorganic Chemistry; 2nd edition, Pubs: John

Wiley

and Sons, 1995.

2. Lee, J.D., Concise Inorganic Chemistry; 4th edition, Pubs: Chapman & Hall Ltd., 1991.

3. Shriver, D.E., Atkins, P.W., Inorganic Chemistry; 4th edition, Pubs: Oxford University Press,

2006.



4. Douglas, B., Medaniel, D., Atenander, J., Concepts and Models of Inorganic Chemistry; 3rd

edition,

Pubs: John Wiley and Sons Inc., 1994.

5. Porterfeild, W.W., Wesky, A., Inorganic Chemistry; Pubs: Addison-Wesley Publishing

Company,

1984.

6. Miessler, G.L., Tarr, D.A., Inorganic Chemistry; 3rd edition, Pubs: Pearson Education Inc.,

2004.

7. Jolly, W.L., Modern Inorganic Chemistry; 2nd edition, Pubs: Tata McGraw-Hill Publishing

Company Limited, 1991.

8. Purcell, K.F., Kotz, J.C., Inorganic Chemistry; Pubs: W.B. Saunders Company, 1977.

9. Puri, B.R., Sharma, L.R., Kalia, K.K., Principles of Inorganic Chemistry; 30th edition, Pubs:

Milestones Publisher, 2006-07.





CY1202 ORGANIC CHEMISTRY-II 2 0 0 2


The objective of Organic Chemistry syllabus is to impart knowledge about its basic concepts and

applications. The syllabus has been designed as per provision of the UGC module and demand of

the academic environment. The course contents have been planned as per suggestions of the

teachers of the Chemistry working in reputed universities and affiliated colleges. The syllabus

contents are duly arranged Unit wise and contents are included in such a manner so that due

importance may be given to requisite intellectual and laboratory skills.

UNIT-1: Alkenes and Cycloalkenes: 10 Hrs.

Nomenclature of alkenes, methods of formation, mechanisms of dehydration of alcohols and

dehydrohalogenation of alkyl halides, regioselectivity in alcohol dehydration. The Saytzeff’s

rule, Hofmann elimination, physical properties and relative stabilities of alkenes. Chemical

reactions of alkenes – mechanisms involved in hydrogenation, electrophilic and free radical

additions, Markownikoff’s rule, hydroboration—oxidation, oxymercuration-reduction.

Epoxidation, ozonolysis, hydration, hydroxylation and oxidation with KMnO4. Polymerization

of alkenes. Substitution at the allylic and vinylic positions of alkenes. Industrial applications of

ethylene and propene. Methods of formation, conformation and chemical reactions of

cycloalkenes. Nomenclature and classification of dienes : Isolated, conjugated and cumulated

dienes. Structure of allenes and butadiene, methods of formation, polymerization. Chemical

reactions – 1, 2 and 1, 4 additions, Diels-Alder reaction.

UNIT-2: Alkynes: 3 hrs

Nomenclature, structure and bonding in alkynes. Methods of formation. Chemical reactions of

alkynes, acidity of alkynes. Mechanism of electrophilic and nucleophilic addition reactions,

hydroboration-oxidation, metal-ammonia reductions, oxidation and polymerization.



UNIT-3: Arenes and Aromaticity: 8 Hrs.

Nomenclature of benzene derivatives. The aryl group, Aromatic nucleus and side chain,

Structure of benzene : Molecular formula and Kekule structure. Stability and carbon-carbon

bond lengths of benzene, resonance structure, MO picture. Aromaticity : The Huckel rule,

aromatic ions. Aromatic electrophilic substitution—General pattern of the mechanism, role of

–complexes. Mechanism of nitration, halogenation, sulphonation, mercuration and

Friedel-Crafts reaction. Energy profile diagrams. Activating and deactivating substituents,

orientation and ortho/para ratio. Side chain reactions of benzene derivatives. Methods of

formation and chemical reactions of alkyl benzenes, alkynyl benzenes and biphenyl.

UNIT-4: Alkyl and Aryl Halides: 5 Hrs.

Nomenclature and classes of alkyl halides, methods of formation, chemical reactions.

Mechanisms of nucleophilic substitution reactions of alkyl halides, SN2 and SN1 reactions with

energy profile diagrams. Methods of formation of aryl halides, nuclear and side chain reactions.

The addition-elimination and the elimination-addition mechanisms of nucleophilic aromatic

substitution reactions. Relative reactivities of alkyl halides vs allyl, vinyl and aryl halides.

Books Suggested:

1. Morrison, R.T., Boyd, R.N., Organic Chemistry, 6th Edition, Pubs : Prentice-Hall, 1992.

2. Solomons, T.W., Fryhle, C.B., Organic Chemistry, 9th Edition, Pubs : Wiley India, 2007.

3. Wade Jr., L.G., Singh, M.S., Organic Chemistry, 6th Edition, Pubs : Pearson Education, 2008.

4. Mukherji, S.M., Singh, S.P., Kapoor, R.P., Organic Chemistry, Pubs : New Age International,

1985.

5. Carey, F.A., Sundberg, R.J., Advanced Organic Chemistry Part B: Reactions and Synthesis,

5th

Edition, Pubs : Springer, 2007.





CY1203 PHYSICAL CHEMISTRY-II 2 0 0 2



The objective of Physical Chemistry syllabus is to make students familiar with its basic concepts

and applications. The syllabus has been designed as per provision of the UGC module and

demand of the academic environment. The course contents have been planned as per suggestions

of the teachers of the Chemistry working in reputed universities and affiliated colleges. The

syllabus contents are duly arranged Unit wise and contents are included in such a manner so that

due importance may be given to requisite intellectual and laboratory skills.

UNIT-1: Thermochemistry: 6 Hrs.

Thermochemistry : Standard state, Standard enthalpy of formation-Hess’s Law Constant Heat

Summation and its applications. Heat of reaction at constant pressure and at constant volume.

Enthalpy of neutralization. Bond dissociation energy and its calculation from thermo-chemical

data, temperature dependence of enthalpy. Kirchoff’s equation.

UNIT-2: Thermodynamics-I: 7 Hrs

Definition of Thermodynamic Terms : System, surroundings etc., Types of systems, intensive and

extensive properties. State and path functions and their differentials, Thermodynamic process,

Concept of heat and work.

First Law of Thermodynamics: Statement, definition of internal energy and enthalpy, Heat

capacity, heat capacities at constant volume and pressure and their relationship. Joule’s Law–

Joule-Thomson coefficient and inversion temperature. Calculations of w, q, dU & dH for the

expansion of ideal gases under isothermal and adiabatic conditions for reversible process.

UNIT-3: Gaseous States : 6 Hrs.

Postulates of kinetic theory of gases, deviation from ideal behavior, van der Waal’s equation of

state.



Critical Phenomena : PV isotherms of real gases, continuity of states, the isotherms of van der

Waal’s equation, relationship between critical constants and van der Waal’s constants, the law of

corresponding states, reduced equation of state.

Molecular Velocities : Root mean square, average and most probable velocities. Qualitative

discussion of the Maxwell’s distribution of molecular velocities, collision number, mean free

path and collision diameter. Liquification of gases (based on Joule-Thomson effect).

UNIT-4: Solutions, Dilute Solutions and Colligative Properties : 7 Hrs.

Ideal and non-ideal solutions, methods of expressing concentrations of solutions, activity and

activity coefficient. Dilute solution, colligative properties, Raoult’s law, relative lowering of

vapour pressure, molecular weight determination. Osmosis, law of osmotic pressure and its

measurement, determination of molecular weight from osmotic pressure. Elevation of boiling

point and depression of freezing point, Thermodynamic derivation of relation between molecular

weight and elevation in boiling point and depression of freezing point. Experimental methods for

determining various colligativeproperties. Abnormal molar mass, degree of dissociation and

association of solutes.

Books Suggested :

1. Atkins, P., Paula, J.de, Atkins Physical Chemistry; 8th edition, Pubs: Oxford University Press,

2008.

2. Puri, B.R., Sharma, L.R., Pathania, M.S., Principles of Physical Chemistry; 43rd edition,

Pubs: Vishal Publishing Co., 2008.

3. Barrow, G.M., Physical Chemistry; 6th edition, Pubs: McGraw Hill Inc., 1996.

4. Rao, C.N.R., University General Chemistry; Pubs: Macmillan India, 1985.

5. Berry, R.S., Rice, S.A., Ross, J., Physical Chemistry, 2nd edition, Pubs: Oxford University

Press, 2000.

6. Albert, R.A., Silbey, R.J., Physical Chemistry; 1st edition, Pubs: John Wiley & Sons Inc.,

1992.

7. Dogra, S.K., Dogra, S., Physical Chemistry Through Problems; Pubs:Wiley Eastern Limited,

1991.

8. Levine, I.N., Physical Chemistry; 5th edition, Pubs: Tata McGraw Hill Publishing Co. Ltd.,

2002.

9. Moore, W. J., Basic Physical Chemistry; Pubs: Prentice Hall of India Pvt. Ltd., 1983.

10. Metz, C.R., Theory and Problems of Physical Chemistry; Schaum’s Outline Series, 2nd

edition, Pubs: McGraw-Hall Book Company, 1989.





CY1204 CHEMISTRY PRACTICAL 0 0 4 2

LABORATORY PRACTICALS

2 Periods/week

Organic Chemistry

Sublimation (Simple and Vaccum)

Camphor, Naphthalene, Phthalic Acid and Succinic Acid

Qualitative Analysis

Detection of extra elements (N, S and halogens) and functional groups (phenolic, carboxylic,

carbonyl, esters, carbohydrates, amines, amides, nitro, anilido) in simple organic compounds

PHYSICAL CHEMISTRY :

Chemical Kinetics :

1. To determine the specific reaction rate of the hydrolysis of methyl acetate/ethyl acetate

catalyzed by hydrogen ions at room temperature.

2. To study the effect of acid strength on the hydrolysis of an ester.

Viscosity, Surface Tension :

To determine the viscosity and surface tension of CCl4 dioxane, n-Butyl alcohol, cyclohexane.





PH1205 Mechanics-II 2 0 0 2

Course Objective The objective of this course is to derive Euler’s equations and Lorentz transformations ,

qualitatively relate the energy released in nuclear processes to the change in mass and to

understand qualitatively the Doppler effect for sound .

UNIT-1

Rigid Body motion; Rotational motion, principal moments and Axes, Euler’s equations,

precession and elementary gyroscope .Concept of stationery universal frame of reference and

ether, Michelson-Morley experiment and its results.

(8hrs)

UNIT-2

Postulates of special theory of relativity, Lorentz transformations, observer and viewer in

relativity, Relativity of simultaneity, Length, Time, Velocities. Relativistic Dopper effect.

Variation of mass with velocity, mass-energy equivalence, rest mass in an inelastic collision,

relativistic momentum & energy and their transformation Concepts of Minkowski space, four

vector formulation.

(18hrs)

Total (26hrs)

Learning Outcome Explaining the frequency shift in both the moving-source and moving-observer case in

doppler's effect.

Using Lorentz transformations for the study of contraction in length and delay in time w.r.t to

stationary and moving frame of reference.

Text Book : Mechanics, H.S. Hans & S.P. Puri.

Reference Books: 01 :. An Introduction to Machines, Daniel Kleppner & Robert J.

Kolenkow (TMH).

02 : Introduction of Classical Mechanics, R.G. Takwale & P.S. Puranik (TMH, 2000).

03 : 3. Basic Concepts of Relativity, R.H. Good (East-West Press, New Delhi, 1974).





PH1206 Electricity & Magnetism-II 2 0 0 2

Course Objective

The objective of this course is to deduce the magnitude and direction of the contribution to the

magnetic field made by a short straight segment of current-carrying wire and to analyze the

forces that act on induced currents and familiarize with Maxwell’s equations

UNIT-1

Current and current density, equation of continuity. Microscopic form of Ohm’s Law (J = σE)

and conductivity. Failure of Ohm’s Law. Invariance of charge. E in different frames of

reference. Field of a point charge moving with constant velocity. Interaction between moving

charges and force between parallel currents.

(7hrs)

UNIT-2

Behavior of various substances in magnetic field. Definition of M and H and their relation to

free and bound currents. Permeability and susceptibility and their interrelationship. Orbital

motion of electrons and diamagnetism, Electron spin and par magnetism, Ferromagnetism,

Domain theory of Ferromagnetism, Hysteresis Loss, Magnetization curve, Ferrites.Lorentz’s

force. Definition of B. Biot Savart’s Law and its application to long straight wire, circular

current loop and solenoid. Ampere’s Circuital law and its application. Divergence and curl of

B. Hall effect, expression and co-efficient.) Vector potential, Definition and derivation,

current density—definition, its use in calculation of change in magnetic field at a current sheet.

Transformation equations of E and B from one frame to another.Faraday’s Law of EM

induction, Displacement current ,,Maxwell’s equations. Mutual inductance and reciprocity

theorem

(19hrs)

Total (26hrs)

Learning Outcome

Determining the mechanical consequences of the forces that act on induced current

Deriving Maxwell equation and can associate each equation with its implications.

Text Book : Electricity & Magnetism, A.S. Mahajan & A.A. Rangwala (Tata McGraw Hill).

Reference Books: 01 : Fundamentals of Electricity and Magnetism by Arthur F. Kipp

02 : Electricity & Magnetism, 4th Edition, W.J. Duffin

03 : EM Waves and Radiating Systems, Edward C. Jordan and K. G. Balmain, Prentice Hall





PH1207 Waves and Vibrations-II 2 0 0 2

Course Objective

The objective of this course is to study the various modes of vibrations and to familiarize with

E.M. waves and wave equation in a medium having finite permeability and permittivity and to

study Reflection and transmission of EM waves at a boundary of two dielectric media for normal

and oblique incidence.

UNIT-1

Coupled oscillators, Normal co-ordinates and normal modes of vibration, Inductance coupling of

electrical oscillators. Types of waves, wave equation (transverse) and its solution, Reflection

and Transmission of waves at boundary. Reflection and transmission of energy.

(7hrs)

UNIT-2

Standing waves on a string of fixed length. Energy of vibrating string. Wave and group velocity.

Physical interpretation of Maxwell’s equations, E.M. waves and wave equation in a medium

having finite permeability and permittivity but with conductivity σ = 0. Poynting vector,

Impedance of a dielectric to EM waves. EM waves in a conducting medium and skin depth. EM

wave velocity in a conductor and anomalous dispersion. Response of a conducting medium to

EM waves, Reflection and transmission of EM waves at a boundary of two dielectric media for

normal Reflection of EM waves from the surface of a conductor at normal incidence.

(19hrs)

Total (26hrs)

Learning Outcome

Deriving the solution of a reflected and transmitted wave at boundary of two dielectric media for

normal and oblique incidence.

Deriving the Standing waves on a string of fixed length

Text Book : Text Book of Vibrations and Waves by S.P. Puri (Macmillan India Ltd.).

Reference Books: 01 : Vibrations and Waves by A.P. French (Arnold Heinemann India, New

Delhi).

02 : The Mathematics of Waves and Vibrations by P.K. Ghosh (Mcmillan India).

03 : Waves and Oscillations by N. Subrahmanayam & B. Lal (Vikas Pub., Delhi)





PH1208 Physics Lab-II 2 0 0 2

Physics Lab-II



1. Modulus of rigidity by Maxwell’s needle.

2. Thermal conductivity of a good conductor by Searle’s method.

3. To find the Bind gap of semiconductor material.

4. Study of moment of inertia using torsional pendulum.

5. Study of variation of magnetic field with current and distance

6. Study of impedance of an AC circuit containing RLC elements

7. Study of resonance in parallel LCR circuits

8. Study of magnetic moments using magnetometer.

9. Study of thermocouples.

10. To trace B-H curve for a ferromagnetic material using CRO .







B.Sc (Non-Medical) Semester –II Syllabus


MS1209 Calculus - II 3 0 0 3

Course Objective

This course is in continuation of Calculus-I course. Here some advanced topics of calculus are

included. This will help the students to understand the use of higher Calculus in various physical

problems.

UNIT-1: Vector Analysis [08 hours]

Vectors in the plane Cartesian Co-ordinates and vectors in spaces. Dot and cross products.

Lines and planes in space, Cylinders and Quadric surfaces. Cylindrical and Spherical co-

ordinates. Vector valued functions and space curves. Modelling Projectile Motion. Arc length

and Unit Tangent vector curvature, Torsion and the TNB Frame.

UNIT-2: Vector Calculus [08 hours]

Gradient, Divergence and Curl and their physical interpretations, Vector identities, Directional

derivatives. Line, Surface and Volume integrals, Gauss divergence, Green’s and Stoke’s

theorems (Without Proofs) and their Applications to engineeering

UNIT-3: Partial Differentiation [08 hours]

Functions of several variables. Limits, continuity and differentiability (basic concepts).Partial

derivatives, Euler’s theorem for homogeneous functions, Total derivatives, partial derivatives of

composite functions. Change of variables, Jacobians for explicit and implicit functions .

UNIT-4: Application of Partial Derivatives [07 hours]

Taylor’s and Maclaurin’s Theorems for function of one and two variables. Approximation of

errors, Extreme values and saddle points. Concavity and convexity of function. Maxima and

minima of functions of two and three variables. Lagrange’s method of multipliers (with

applications to geometrical problems).

UNIT-5: Multiple Integrals [08 hours]

Double integrals. Double integrals in Polar Form. Triple integrals in Rectangular co-ordinates.

Triple integrals in Cylindrical and Spherical co-ordinates. Double and triple integrals, for

Cartesian , polar and spherical coordinates. Change of order of integration, Change of variables,

Application of double and triple integrals to find , areas, Volumes and Surface areas




After learning Calculus-II, students can:

1. Calculate the limits and discuss the continuity of functions.

2. Ability to convert Cartesian coordinates into cylindrical, polar coordinates.

3. Simplify the integrals which help in calculating the area, volume.

Text Book :

1. B.S.Grewal :Higher Engineering Mathematics,Khanna Publications.

Reference Books:

1. R.K.Jain & S.R.K. Iyenger, Advance Engineering Mathematics, Narosa Publishing

House.


3. N.P.Bali, Manish Goyal: Higher Engineering Mathematics, Laxmi Publications Pvt

Limited New Delhi





MS1210 Linear Algebra 3 0 0 3

Course Objective

The concepts and techniques from linear algebra are of fundamental importance in many

scientific disciplines The main Course Objective is to introduce basic notions in linear algebra

that are often used in mathematics and other sciences. The emphasis will be to combine the

abstract concepts with examples in order to intensify the understanding of the subject.

UNIT-1: Matrices [08 hours]

Introduction to Matrices, various types, Rank of a matrix ( Echelon & Normal form), Systems of

linear equations, Inverse of a matrix by elementary transformations, Consistency of linear system

of equations and their solution by Gauss Elimination and Gauss Jordan methods. Determinants

and their properties, Cramer's Rule., Linear dependence and independence of vectors,.

UNIT-2: Vector spaces [06 hours]

Vector spaces , subspaces, bases and dimension., the null space and the column space of a matrix

and their dimension

UNIT-3: Linear transformations [06 hours]

Representation of linear transformations by matrices, change of basis, rank-nullity theorem,

Applications to difference equations and Markov chains.

UNIT-4: Elementary transformations [06 hours]

Eigenvalues and eigenvectors, characteristic polynomials, minimal polynomials, Cayley-

Hamilton Theorem, triangulation, diagonalization of matrix.

UNIT-5: Inner Space and Orthonormalization [07 hours]

Inner product, length, orthogonality, orthogonal projections. Gram-Schmidt orthonormalization

process Least square problems, inner product spaces and their applications.

UNIT-6: Quadratic forms [06 hours]

Diagonalization of symmetric matrices and quadratic forms. Canonical forms..Positive definite

and semi definite forms. Methods for reducing symmetric matrices to canonical forms. Rank,

index and signature of the canonical forms.


After learning Linear Algebra, students can:



1. Students will demonstrate competence with the basic ideas of linear algebra

including concepts of linear systems, independence, theory of matrices

2. Linear transformations, bases and dimension, eigenvalues, eigenvectors and

diagonalization.

Text Book

1.David C. Lay: Linear Algebra and its Applications, Addison Wesley, 2000.

References

1. S.H. Friedberg, A.J. Insel and L.E. Spence: Linear Algebra, Prentice Hall, 2003.

2. K. Hoffman and R. Kunze: Linear Algebra, 2nd

Edition, Prentice-Hall of India, 1989.






MS1211 Quantitative Techniques-II 3 0 0 3

Course Objective

To make the students familiar with various techniques used in summarization and analysis of

data. The course will also lay the foundation to probability theorem through various probability

distributions.

Course Objective: The Course Objective of this paper is to acquaint the students with various

statistical tools and techniques used to business decision making. . The course aims at providing

fundamental knowledge and exposure to the students to use various statistical methods in order

to understand, analyze and interpret data for decision making.

UNIT 1: Probability Theory [07 hours]

Axiomatic approach to Probability–classical, relative, and subjective probability; Addition and

multiplication theorems. Different Probability models. Conditional probability. Baye’s theorem.

UNIT-2: Probability Distributions: [08 hours]

Definition of random variable. Types of Probability distribution like Discrete and continuous

distribution functions. Calculation of mean, median mode. Bernoulli’s, Binomial, Poisson and

normal distributions; Their characteristics and applications.

UNIT-3: Hypothesis Testing: [08 hours]

Sampling theory; Formulation of Hypotheses; Null and Alternative hypotheses, Type I and Type

II errors; Sample distribution and concept of standard error, Application of Z-test, t-test, F-test

and Chi-Square test, techniques of association of attributes & testing. Test of significance for

small sample, , one way classification, two way classification of ANOVA

UNIT-4 Correlation Analysis: [08 hours]

Significance, types, Methods of correlation analysis: Scatter diagrams, Graphic method, Karl

Pearson‟s correlation co-efficient, Rank correlation coefficient, Properties of Correlation.

Regression analysis: meaning, application of regression analysis, difference between correlation

& regression analysis, regression equations, standard error and Regression coefficients.

UNIT-5: Index Number: [08 hours]

Definition, and methods of construction, tests of consistency, base shifting, splicing and

deflation, problems in construction and importance of index number. Construction of frequency

distributions and their analysis in the form of measures of central tendency and variations.




After learning Quantitative techniques-II, students can:

1. Demonstrate an understanding of the basic rules of probability.

2. Construct and interpret confidence intervals, using the normal or t distribution, as

appropriate, and calculate the sample size required to estimate population values to

within given limits.

Text Book

1. Gupta & Gupta, An Introduction to Statistical Methods, Vikas Publications.

References

1. Meyer, P.L: Introductory probability and statistical applications

2. Hogg R.V. and Craig T: Introduction to Mathematical Statistics (MacMillan 2002)

3. Bali, N.P. and Gupta P.N., A Text book of quantitative techniques, Laxmi Publications.





2 0 0 2

ES1212 Environmental Studies

Unit 1: Multidisciplinary nature of environmental studies

Definition, scope and importance, Need for public awareness.

Unit 2: Natural Resources:

Renewable and non-renewable resources: Natural resources and associated problems.

Forest resources: Use and over-exploitation, deforestation, case studies. Timber extraction,

mining, dams and their effects on forest and tribal people. Water resources: Use and over-

utilization of surface and ground water, floods, drought, conflicts over water, dams-benefits and

problems. Mineral resources: Use and exploitation, environmental effects of extracting and using

mineral resources, case studies. Food resources: World food problems, changes caused by

agriculture and overgrazing, effects of modern agriculture, fertilizer-pesticide problems, water

logging, salinity, case studies, Energy resources: Growing energy needs, renewable and non-

renewable energy sources, use of alternate energy sources. Case studies, Land resources: Land as

a resource, land degradation, man induced landslides, soil erosion and desertification, Role of an

individual in conservation of natural resources. Equitable use of resources for sustainable

lifestyles.

Unit 3: Ecosystems

Concept of an ecosystem, structure and function of an ecosystem, producers, consumers and

decomposers. Energy flow in the ecosystem. Ecological succession, Food chains, food webs and

ecological pyramids. Introduction, types, characteristic features, structure and function of the

following ecosystem- Forest ecosystem Grassland ecosystem Desert ecosystem Aquatic

ecosystems (ponds, streams, lakes, rivers, oceans, estuaries)

Unit 4: Biodiversity and its conservation

Introduction – Definition: genetic, species and ecosystem diversity. Biogeographically

classification of India. Value of biodiversity: consumptive use, productive use, social, ethical,

aesthetic and option values. Biodiversity at global, National and local levels. India as a mega-

diversity nation. Hot-sports of biodiversity. Threats to biodiversity: habitat loss, poaching of

wildlife, man-wildlife conflicts. Endangered and endemic species of India. Conservation of

biodiversity: In-situ and Ex-situ conservation of biodiversity.(8 lectures)

Unit 5: Environmental Pollution



Definition • Cause, effects and control measures of :- Air pollution , Water pollution , Soil

pollution , Marine pollution , Noise pollution , Thermal pollution , Nuclear hazards, Solid waste

Management : Causes, effects and control measures of urban and industrial wastes. Role of an

individual in prevention of pollution, Pollution case studies, Disaster management: floods,

earthquake, cyclone and landslides.

Unit 6: Social Issues and the Environment

From Unsustainable to Sustainable development, urban problems related to energy, Water

conservation, rain water harvesting, watershed management, Resettlement and rehabilitation of

people; its problems and concerns. Case Studies, Environmental ethics: Issues and possible

solutions, Climate change, global warming, acid rain, ozone layer depletion, nuclear accidents

and holocaust. Case Studies, Wasteland reclamation., Consumerism and waste products.,

Environment Protection Act , Air (Prevention and Control of Pollution) Act., Water (Prevention

and control of Pollution) Act, Wildlife Protection Act, Forest Conservation Act, Issues involved

in enforcement of environmental legislation., Public awareness.

Unit 7: Human Population and the Environment

Population growth, variation among nations, Population explosion – Family Welfare

Programme, Environment and human health., Human Rights, Value Education, HIV/AIDS,

Women and Child Welfare, Role of Information Technology in Environment and human health,

Case Studies.

Unit 8: Field work

Visit to a local area to document environmental assets river/forest/grassland/hill/mountain , Visit

to a local polluted site-Urban/Rural/Industrial/Agricultural , Study of common plants, insects,

birds., Study of simple ecosystems-pond, river, hill slopes, etc. (Field work Equal to 5 Lecture

hours) IV, Structure and function of an ecosystem. Producers, consumers and decomposers. ,

Energy flow in the ecosystem., Ecological succession., Food chains, food webs and ecological

pyramids., Introduction, types, characteristic features, structure and function of the following

ecosystem :-. Forest ecosystem, Grassland ecosystem , Desert ecosystem , Aquatic ecosystems

(ponds, streams, lakes, rivers, oceans, estuaries)

Recommended Books

1. Clark, R.S. - Marine pollution, Clanderson Press Oxford.

2. Mhaskar A. K. - Matter Hazrdous, Techno-science Publications.

3. Miller T. G. Jr. - Environmental Science, Wadsworth Publishing Co.

4. Townsend C., Harper J, Michael Begon - Essential of Ecology, Blackwell Science

5. Trivedi R. K., Goel P. K. - Introduction to Air Pollution, Techno-Science Publications

university school of sciences b.sc. non medical

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