Syllabus

Integral Calculus: Functions of several variables:

Lecture Plan

Lecture Content
1 - Aug 31 Introduction: Definite Integrals as a limit of sums Presentation
2 - Sep 2 Applications of integration to area Presentation
3 - Sep 3 Applications of integration to volume Presentation
4 - Sep 7 Applications of integration to surface area Presentation
5 - Sep 9 Applications of integration to surface area (cont.) Presentation
6 - Sep 10 Improper integrals Presentation
Sep 14 (Mon) - Holiday.
7 - Sep 16 Improper integrals (cont.): examples Presentation
8 - Sep 17 Functions of several variables: Limits and continuity, Partial derivatives. Presentation
9 - Sep 21 Mixed partial derivatives, Differentiability and chain rule Presentation
10 - Sep 23 Directional Derivatives Presentation
11 - Sep 24 Local maxima and minima for function of two variables Presentation
12 - Sep 28 Local maxima and minima for function of two variables : Second derivative test Presentation
13 - Sep 30 Lagrange multipliers
14 - Oct 1 Lagrange multipliers
Final Exam : 9AM-11AM, Oct 3, 2026(Saturday).

Text books:

Problems sheets:

Some interesting stuffs: