MTH 102, Multivariable Calculus, Spring 2016

Lectures

Tuesday 4:20-5:20

Wednesday 3:10-4:10

Summaries of lectures are available here.

Tutorials

Tutorials will be conducted in four batches and you can find your location and TA details below. The problems to be discussed in the tutorials will be uploaded here on every Thursday.

B1 20151002-20151026 LH 101 Friday 3:10-4:10 Tutor: Chaitanya Ambi

B1 20151027-20151050 LH 103 Friday 3:10-4:10 Tutor: Uday Jagdale, Office hour: Tue 11-12

B2 20151051-20151075 LH 105 Friday 3:10-4:10 Tutor: Sneha Jondhale, Office hour: Thu 11-12

B2 20151076-20151100 LH 106 Friday 3:10-4:10 Tutor: Sucheta Dawn

B3 20151101-20151125 LH 101 Friday 11:20-12:20 Tutor: Aman Jhinga, Office hour: Wed 10-11

B3 20151126-20151153 LH 107 Friday 11:20-12:20 Tutor: Advait Phanse,  Office hour: Wed 10-11

B4 20151154-20151177 LH 107 Friday 3:10-4:10 Tutor: Jyotirmoy Ganguly, Office hour: Wed 5:30-6:30

B4 20151178-20151191 LH 108 Friday 3:10-4:10 Tutor: Aman Jhinga, Office hour: Wed 10-11

B4 20141040-20141186 LH 108 Friday 3:10-4:10 Tutor: Aman Jhinga, Office hour: Wed 10-11

Textbook

Calculus (Volume II) by T. Apostol

Course contents

Vectors and 3-dimensional geometry, functions from R^n to R^m, derivatives and integrals of vector functions, arclength and curvature of space curves, limits and continuity, partial derivatives, total derivatives, maxima and minima, statement of implicit function theorem, Lagrange multipliers, divergence, curl; Iterated integrals, change of variable formula, line integrals, Statement of Green’s Theorem, surface integrals, Statement of Stoke’s Theorem, Statement of Divergence Theorem.  Applications to area and volume.

The course template is available here.

Evaluation

Quizzes   40%

Mid-sem  30%

End-sem 30%