Course Timings: 07th January 2022 to 18th February 2022
Class Timings:
Tuesday : 14.30 - 15.50
Wednesday : 08.30 - 09.50
Friday : 10.00 - 11.20
Thursday : 10.00 - 11.20 (Tutorial)
Course Content:
Continuity & differentiability: Continuity, partial derivatives, directional derivatives, gradient, differentiability, chain rule, tangent planes and normals;
Maxima & minima: Maxima and minima for function of two variables, Lagrange multiplier method;
Integral calculus: Double and triple integrals with applications to volume, surface area, change of variables,
Vector calculus: Vector fields, line integrals, Green’s theorem and its applications, path independence, surface integrals, Gauss’s divergence theorem and its applications.
Reference Books:
[TC] Thomas’ Calculus: G.B. Thomas, M.D. Weir, J. Hass, 14th edition,
[GL] A Course in Multivariable Calculus and Analysis: S.R. Ghorpade, B.V. Limaye, Springer,
[DH] Calculus: Single and Multivariable: D. Hughes-Hallett et al, John Wiley.
Evaluation Plan:
2 quizzes : 25 marks each
1 exam : 40 marks
Attendance + Lecture & Tutorial response : 10 marks
Tutorials:
Suggested readings