Syllabus

Integral Calculus: Functions of several variables:

Lecture Plan

Lecture Content
1 - Aug 31 Introduction: Definite Integrals as a limit of sums (Section 5.3) Presentation
2 - Sep 2 Applications of integration to area (Section 5.6) Presentation
3 - Sep 3 Applications of integration to volume (Section 6.1) Presentation
4 - Sep 7 Applications of integration to surface area (Section 6.3) Presentation
5 - Sep 9 Applications of integration to surface area (cont.) (Section 6.4)
6 - Sep 10 Improper integrals (Section 8.8)
Sep 14 (Mon) - Holiday.
7 - Sep 16 Improper integrals (cont.): examples (Section 8.8)
8 - Sep 17 Functions of several variables: Limits and continuity (Sections 14.1-14.2)
9 - Sep 21 Partial derivatives (Section 14.3)
10 - Sep 23 Differentiability and chain rule (Section 14.4)
11 - Sep 24 Mixed partial derivatives (Sections 14.3-14.4)
12 - Sep 28 Local maxima and minima for function of two variables (Section 14.7)
13 - Sep 30 Second derivative test, saddle points (Section 14.7)
14 - Oct 1 Lagrange multipliers (Section 14.8)
Final Exam : 9AM-11AM, Oct 3, 2026(Saturday).

Text books:

Problems sheets:

Some interesting stuffs: