| Date | Module | Topics | Material | Assessment |
|---|---|---|---|---|
| Jan 25 Lecture 1 |
Preliminaries | Numbers and sets; Relations and functions; Summation notation; Necessary and sufficient conditions | π₯οΈ ποΈ ποΈ βοΈ π | |
| Feb 1 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 | |
| Feb 8 Lecture 3 |
Conditions for Nonsingularity of a Matrix, Determinant of a Matrix | π₯οΈ ποΈ βοΈ π | Quiz 1 | |
| Feb 15 Lecture 4 |
Finding the Inverse of a Matrix, Cramerβs Rule, Applications | π₯οΈ ποΈ βοΈ π | ||
| Feb 22 Lecture 5 |
Calculus π π |
Limit Definition of a Derivative, Limits, Continuity, Rules of Differentiation | π₯οΈ ποΈ βοΈ π | Quiz 2 |
| Feb 29 Lecture 6 |
Exponential and Log Functions, Partial Derivatives, Total Differential and Derivative | π₯οΈ βοΈ π | ||
| Mar 7 Lecture 7 |
Implicit Function Theorem, Integration | π₯οΈ βοΈ π | Quiz 3 | |
| Mar 14 | Review Class | |||
| Mar 21 | Midterm Exam | |||
| Mar 28 Lecture 8 |
Optimization π π |
Unconstrained Single-Variable Optimization, Concave and Convex Functions | π₯οΈ ποΈ βοΈ π | |
| Apr 11 Lecture 9 |
Multivariable Optimization | π₯οΈ βοΈ π | ||
| Apr 18 Lecture 10 |
Constrained Optimization | π₯οΈ ποΈ βοΈ π | Quiz 4 | |
| Apr 25 Lecture 11 |
Envelope Theorem Quasiconcavity, Convex sets, Homogenous Functions | π₯οΈ ποΈ βοΈ π | ||
| May 2 Lecture 12 |
Add. Topics | TBA | Quiz 5 | |
| May 9 | Review Class | |||
| May 16 | Final Exam |
Schedule
π: Notes π₯οΈ: Slides ποΈ: Worksheet βοΈ: Homework π: Solutions