AMERICAN INTERNATIONAL UNIVERSITY-BANGLADESH- Dhaka, Bangladesh

AMERICAN INTERNATIONAL UNIVERSITY-BANGLADESH (AIUB)

Dhaka, BangladeshDepartment of MathematicsI-COURSE CODE: MAT-1102, COURSE NAME-DIFFERENTIAL CALCULUS AND COORDINATE GEOMETRY,

II-Nature-Core

III-Academic Term - Spring Semester -2013-14IV-Credit-03

V-Course Outline:

Lecture

WeekTopicsQuiz

1Functions, Graph of functions, Domain and range.

2Limit, Continuity and Differentiability.

Quiz 1

3Differentiation, Successive differentiation.

4Tangent and normal, Rolles Theorem and Mean value Theorem.Quiz 2

5Expansion of functions, Taylors Series and Maclaurins series.

6Limits of Indeterminate forms.Quiz3

7Analysis of functions - Increasing, Decreasing, Extrema, Concavity and point of inflection.

8 Midterm Examination.

9Function of several variables. Partial and Total Derivatives.

10Derivative of function of functions (of several variables). Homogeneous function. Eulers theorem.Quiz 1

11Optimum values and Saddle points of a function. Applications of partial differentiation.

12Rectangular coordinates in three dimensions, Direction cosines and direction ratio of a line. Scalar and vector products of vectors. Projection of vectors.Quiz 2

13 Equation of a straight line and Equation of a plane using vectors. Coplanar lines and shortest distance between two lines.

14Translation of axes.

15Rotation of axes. General equation of second degree. Reduction of general equation of conics to standard forms. Identification of conics.Quiz 3

16 Final Term Examination

Grading System: Mid-term Final-term

Attendance : 20% 20%

Quiz (at least two) : 40% 40%

Final Examination : 40% 40%

Final Grading: 40% of Mid-term + 60% of Final-term.

VII-Text book: Calculus Howard Anton

Book References:1. Calculus and Analytic Geometry George B. Thomas and Ross L. Finney

2. Differential and Integral Calculus Frank Ayres ( Schaums Outline Series)

3. Elements of Coordinate Geometry Kazi Md. Zahiruddin

VIII-Objectives: We teach calculus, vector and geometry in this course. Students embarking on such courses diverse to different core subjects- engineering (EEE, chemical, civil, architectural), -computer (COE, CSE, CIS) biological (molar and genetic) engineering-like those in UK and USA.We have therefore decided and constituted a course syllabus that assume knowledge only of material that can be expected to be familiar to all the current generation of students starting physical science and engineering courses at universities.We aimed at building up a basic foundation of mathematical precision and tools essential for growing engineers and also the hierarchy of mathematical materials for engineers of research in future.Teaching Strategy: The general aim of our pedagogy is staged in three phases- first is a qualitative introduction from a physical point of view,- second is a formal presentation avoiding deliberately the mathematical tougher materials on the ground that- This is the real world; we must behave reasonably. Finally we worked out some problems fully drawn from physical science and engineering.

Grading System:

The grading system will be strictly followed as per the AIUB grading policy. The following grading system will be strictly followed in this class.

Letter4.00

Grade Point94-100

Numerical %

A+4.0094-100

A3.7590-93.99

A-3.5086-89.99

B+3.2582-85.99

B3.0078-81.99

B-2.7574-77.99

C+2.5070-73.99

C2.2566-69.99

C-2.0062-65.99

D+1.7558-61.99

D1.5054-57.99

D-1.0050-53.99

F0.00