| Date | Module | Topics | Material | Assessment |
|---|---|---|---|---|
| Aug 25 Lecture 1 |
Preliminaries |
Numbers and sets; Relations and functions; Summation notation; Necessary and sufficient conditions | π₯οΈ ποΈ ποΈ βοΈ π | |
| Sep 01 | Labor Day | |||
| Sep 08 Lecture 2 |
Linear Algebra π |
Matrices: Addition, Subtraction, and Scalar Multiplication; Matrix Multiplication; Vectors; Identity and Null Matrices; Transpose and Inverse of a Matrix | π₯οΈ ποΈ βοΈ π | |
| Sep 15 Lecture 3 |
Conditions for Nonsingularity of a Matrix; Determinant of a Matrix | π₯οΈ ποΈ βοΈ π | Quiz 1 | |
| Sep 22 Lecture 4 |
Finding the Inverse of a Matrix; Cramerβs Rule; Applications | π₯οΈ ποΈ ποΈ βοΈ π | ||
| Sep 29 Lecture 5 |
Calculus π π |
Limit Definition of a Derivative; Limits; Continuity; Rules of Differentiation | π₯οΈ ποΈ βοΈ π | Quiz 2 |
| Oct 06 Lecture 6 |
Exponential and Log Functions; Partial Derivatives; Total Differential and Derivative | π₯οΈ ποΈ βοΈ π | ||
| Oct 13 Lecture 7 |
Implicit Function Theorem; Integration | π₯οΈ βοΈ π | Quiz 3 | |
| Oct 20 | Midterm Review | |||
| Oct 27 | Midterm Exam | |||
| Nov 03 Lecture 8 |
Optimization π |
Unconstrained Single-Variable Optimization; Concave and Convex Functions | π₯οΈ ποΈ βοΈ π | |
| Nov 10 Lecture 9 |
Multivariable Optimization | π₯οΈ βοΈ π | ||
| Nov 17 Lecture 10 |
Constrained Optimization | π₯οΈ ποΈ βοΈ π | Quiz 4 | |
| Nov 24 | Fall Recess | |||
| Dec 01 Lecture 11 |
Envelope Theorem; Quasiconcavity; Convex sets; Homogenous Functions | π₯οΈ βοΈ π | ||
| Dec 08 | Final Review | |||
| Dec 15 | Final Exam |
Schedule
π: Notes π₯οΈ: Slides ποΈ: Worksheet βοΈ: Homework π: Solutions