EM212: Calculus II

To introduce, calculus of functions of several variables, vector valued functions and the use of integral theorems in any orthogonal curvilinear coordinates to solve engineering problems.

NO. OF CREDITS: 2
COMPULSORY/OPTIONAL: COMPULSORY
PREREQUISITES: NONE

MAIN TOPICS AND INTENDED LEARNING OUTCOMES

TOPICS

Functions of several variables

Double and Triple Integration

Vector Fields and Vector Operators

Vector and Complex Line Integral

Orthogonal Curvilinear Coordinates, Surface Integrals and Integral Theorems

Student will be able to,

ILO1: Sketch level curves and level surfaces of functions of two and three variables, and sketch their surfaces and solids.

ILO2: Compute double and triple integrals of scalar functions over any given 2D and 3D regions.

ILO3: Compute gradient, divergence and curl of a given functionusing orthogonal. curvilinear coordinates and to solve related problems using cylindrical and spherical coordinates.

ILO4: Evaluate line, surface and volume integrals of continuous scalar and vector fields over a given domain and apply integral theorems.

NO	RECOMMENDED TEXT
1	James Stewart, Calculus, 5th edition, Thomson Books/Cole, 2006
2	Watson Fulks, Advanced Calculus an Introduction to Analysis, 3rd Edition, John Wiley &SonsInc, 1978
3	E.B. Saff and A.D. Sinder, Fundamentals of Complex Analysis with Applications to Engineering, Science, and Mathematics, 3rd edition, Pearson Education Ltd, 2014

TIME ALLOCATION	HOURS
Lectures	24
Tutorials	4
Assignments/Mini Project	4
Laboratories	0

ASSESMENT	PERCENTAGE
Tutorials	10
Laboratory Work	-
MID Semester Evaluation	30
END Semester Exam	60