Proposed Syllabus

Sections

Comments/Topics

Lectures 1-2        

9.1

Functions of several variables, limits, continuity

Lecture 3

9.2

Partial derivates

Lecture 4

9.3

Tangent planes and linear approximations, differentiability

Lecture 5

9.4

Chain rule, implicit differentiation

Lecture 6

9.5

Directional derivatives, gradients

Lectures 7-8

9.6

Maxima and minima (local and global)

Lectures 9-10

online notes

Double integrals

Lectures 11--15

10.1-10.3

Systems of linear ODEs

Lectures 16-17

10.4, 7.6

Systems of nonlinear ODEs: theory, modeling, and examples

Lectures 18-19

12.1

Counting: permutations and combinations

Lecture 20-21

12.2

Basic probability: definitions and examples

Lecture 22-23

12.3

Conditional probability