Syllabus

Integral Calculus

Functions of Several Variables

Lectures

Lecture Contents
Lecture 1 - 05/09/2024 Riemann sums and integrals, examples, properties
Lecture 2 - 09/09/2024 Area between curves, volume by slicing, volumes of solids of revolution
Lecture 3 - 12/09/2024 Arc length, areas of surfaces of revolution
Lecture 4 - 19/09/2024 Improper integrals
Lecture 5 - 23/09/2024 Functions of several variables: limits and continuity
Lecture 6 - 26/09/2024 Functions of several variables: continuity and partial derivatives
Lecture 7 - 30/09/2024 Functions of several variables: chain rule and directional derivatives
Lecture 8 - 03/10/2024 Functions of several variables: maxima and minima
Lecture 9 - 14/10/2024 More about gradients and Lagrange multipliers method (single constraint)
Lecture 10 - 17/10/2024 Lagrange multipliers method (more than one constraint), tangent planes and differentials

Text Books

Problem Sheets

Some Interesting Stuff