ELECTRICAL MACHINES and DRIVES

ADVANCED CALCULUS AND ANALYTICAL GEOMETRY(Date of document: 3rd April 2013)

Course Code: MATB 113Course Status:Core Subject for all Engineering CoursesLevel:DegreeSemester Taught:1 Credit:3Co-requisites: -

Assessments:Test 1 25 %Test 2 25 % Test 3 40 % Quizzes 10 %

Lecturers: Puan Norhalena Mohd. Nor (Coordinator), Puan Faridah Basaruddin , Associate Prof. Dr. Abu Bakar Musa, and Pn. Betty Voon Wan Niu.Course Description:Vectors in three dimensions. The dot and vector products. Lines and planes. Surfaces. Vector-valued functions and space curves. Limits, derivatives and integrals. Motion. Curvature. Tangential and normal components of acceleration. Functions of several variables. Limits and continuity. Partial derivatives. Chain rules. Directional derivatives. Tangent planes and normal lines. Extrema of functions of several variables. Lagrange multipliers. Double integrals. Area and volume. Double integrals in polar coordinates. Triple integrals. Cylindrical and spherical coordinates.

Course Objectives:1. To understand, distinguish and perform calculations involving vectors in two- or three dimensional setting 2. To visualize a problem and solution in two- or three dimensional setting. 3. To use vectors to solve problems in two- or three- dimensional setting. 4. To apply and extend the basic concepts of differential calculus to vector-valued functions. 5. To apply the knowledge of vector calculus to solve optimisation problems. 6. To study functions of several variables and perform multiple integration, with a view to relate them to problem in engineering, and to be able to interpret their solutions..

Transferrable Skills:

Notes: Quiz 1 : 12.1-12.3 Test 1 : 12.4 -12.6

Quiz 2: 13.1 -13.4 Test 2: 13.5 14.5

Quiz 3: 14.7-14.8 Test 3 : 15.1-15.6

1

Course OutcomesPO1PO2PO3PO4PO5PO6PO7PO8PO9PO10PO11PO12

abcababcabcababababcab

1. Solve problems in two or three dimensional setting using vectors. X

2. Find distances using distance formula, dot and cross products

X

3. Identify and sketch cylinders ,quadric surfaces such as paraboloid, cone, hyperboloid of one sheet, hyperboloid of two sheets, and ellipsoid.

X

4. Sketch curves and find the length of the curves in two or three dimensional system.

X

5. Calculate unit vectors and find the rate of bending of the curve using curvature.

X

6. Evaluate velocity and acceleration vectors using tangential and normal components of acceleration.

X

7. Evaluate domains, ranges of functions, limits, gradients, partial derivatives and directional derivatives for functions of two or three variables.

X

8. Evaluate extrema of functions using discriminant and Lagrange multipliers.

X

9. Find areas and volumes using integrals in rectangular, polar , cylindrical or spherical coordinates. X

10. Evaluate double and triple integrals by interchanging the coordinates systems.

X

Course Outcomes :Assessment-Course Outcomes MatrixPO1PO1PO1PO1PO1PO1PO1PO1PO1PO1

AssessmentsCO1CO2CO3CO4CO5CO6CO7CO8CO9CO10

Test 15050

Test 25050

Test 38020

Quizzes 20302030

PO emphasis:PO1PO2PO3PO4PO5PO6PO7PO8PO9PO10PO11PO12Total

Current Coverage(%)100100

Bloom's Coverage (%):

CognitivePsychomotorAffective

LowMedHighTotal

Current Coverage(%)1090100

Course Outline:

1.

Topic 1:VECTORS AND THE GEOMETRY OF SPACE

Three-Dimensional Coordinate Systems Vectors The Dot Product The Cross Product Lines and Planes in Space Cylinders and Quadric Surfaces

Topic2:VECTOR-VALUED FUNCTIONS AND MOTIONS IN SPACE Curves in Space and Their Tangents Integral of Vector Functions Arc Length in Space Curvature and Normal Vectors of a Curve Tangential and Normal Components of Acceleration

Topic 3:PARTIAL DERIVATIVES Functions of Several Variables Limits and Continuity in Higher Dimensions Partial Derivatives The Chain Rule Directional Derivatives and Gradient Vectors Tangent Planes and Differentials Extreme Values and Saddle Points Lagrange Multiplier

Topic 4:MULTIPLE INTEGRALS Double and Iterated Integrals over Rectangles Double and Iterated Integrals over Rectangles Double Integrals over General Regions Areas by Double Integration Double Integrals in Polar Form Triple Integrals in Rectangular Coordinates Triple Integrals in Cylindrical and Spherical Coordinates

References:1. Thomas Calculus, Twelve Edition, 2010, Thomas, Weir and Hass, Pearson 2. Calculus, The Classic Edition by Swokowski, Thompson Learning

What is Program Educational Objectives (PEO)? PEO are objectives that UNITEN graduates should achieve after five (5) years of graduation.

What are Programme Outcomes (PO)? PO are the expected traits that UNITEN students should have upon graduation.

Summary of BEEE/BEPE/BCCE/BME/BCE Programme Educational Objectives (PEO)

PEO No.Programme Educational Objectives

PEO1Practicing engineers in electrical/ computer and communication/ mechanical/ civil engineering with the ability to venture into energy related business/ fields.

PEO2Hold leadership responsibility and/or establish their own enterprises.

PEO3Have professional qualifications/certifications in electrical/ computer and communication/ mechanical/ civil engineering related areas.

PEO4Engages in activities to enhance knowledge in their professional works.

Programme Outcomes (PO)

PO No.Program Outcomes

Students graduating from the BEEE/ BEPE/BCCE/BME /BCE programmes will have the ability to:

PO1Apply fundamental knowledge of mathematics, science and electrical/computer and communication engineering principles in solving complex problems

PO2Identify, formulate, analyze and solve complex electrical/computer and communication engineering problems

PO3Design solutions for complex electrical/computer and communication engineering problems that meet specific needs with appropriate consideration for public health and safety, culture, society, and environment.

PO4Conduct investigations, interpret data and provide conclusions in investigating complex problems related to electrical/computer and communication engineering

PO5Create appropriate techniques, select resources, and apply modern engineering tools to execute complex engineering activities

PO6Apply reasoning in assessing societal, health, safety, legal and cultural issues and the consequent responsibilities relevant to professional engineering practice

PO7Demonstrate knowledge of the impact of professional engineering solutions in environmental contexts and the need for sustainable development

PO8Demonstrate commitment to professional and ethical principles

PO9Communicate effectively on complex engineering activities

PO10Function effectively as an individual and in a group with the capacity to be a leader

PO11acknowledge the need for, and be able to engage in life-long learning

PO12Demonstrate knowledge on project management principles and entrepreneurship skills