Schedule
This is a tentative schedule for the semester. Topics and their order may be adjusted as we establish a suitable pace for the class. Materials are linked next to each lecture as we reach it; for materials organized by module, see the Content pages.
Quizzes are given at the start of class on the dates marked below.
Slides Slides (PDF) Worksheet (PDF) Practice problems
| Module | Date | Topics | References | Materials |
|---|---|---|---|---|
| Preliminaries | ||||
| Preliminaries | Mon 8/24 | Course introduction; numbers and setsReference: 2.2, 2.3 | 2.2, 2.3 | |
| Wed 8/26 | Functions, summation notation, and logical conditionsReference: 2.4-2.6, p. 163, 5.1 | 2.4-2.6, p. 163, 5.1 | ||
| Linear Algebra | ||||
| Linear Algebra | Mon 8/31 | Matrices; addition, subtraction, scalar and matrix multiplicationReference: 4.1, 4.2 | 4.1, 4.2 | |
| Wed 9/2 | Matrix multiplication; vectors; linear dependence; identity, null, idempotent, and transpose matricesReference: 4.2-4.6 | 4.2-4.6 | ||
| Mon 9/7 | No class (Labor Day) | |||
| Wed 9/9 | Quiz 1; Inverse of a matrix; conditions for nonsingularityReference: 4.6, 5.1 | 4.6, 5.1 | ||
| Mon 9/14 | Computing the determinant and the inverseReference: 5.2-5.4 | 5.2-5.4 | ||
| Wed 9/16 | Solving systems of equations by inversion and Cramerβs rule; applicationsReference: 5.4, 5.5, 4.7 | 5.4, 5.5, 4.7 | ||
| Mon 9/21 | Midterm 1 review | |||
| Wed 9/23 | Midterm Exam 1 | |||
| Calculus | ||||
| Calculus | Mon 9/28 | Limit definition of a derivative; limitsReference: 6.2-6.4 | 6.2-6.4 | |
| Wed 9/30 | Continuity; rules of differentiationReference: 6.7, 7.1-7.3 | 6.7, 7.1-7.3 | ||
| Mon 10/5 | Exponential and log functionsReference: 10.5 | 10.5 | ||
| Wed 10/7 | Partial derivatives; total differential and derivativeReference: 7.4, 8.1, 8.2, 8.4 | 7.4, 8.1, 8.2, 8.4 | ||
| Mon 10/12 | Quiz 2; Implicit function theoremReference: 8.5 | 8.5 | ||
| Wed 10/14 | IntegrationReference: 14.1-14.3 | 14.1-14.3 | ||
| Mon 10/19 | Midterm 2 review | |||
| Wed 10/21 | Midterm Exam 2 | |||
| Optimization | ||||
| Optimization | Mon 10/26 | Unconstrained single-variable optimizationReference: 9.1, 9.2 | 9.1, 9.2 | |
| Wed 10/28 | Concave and convex functionsReference: 9.3, 9.4 | 9.3, 9.4 | ||
| Mon 11/2 | Multivariable optimization: first-order conditionsReference: 11.1 | 11.1 | ||
| Wed 11/4 | Multivariable optimization: second-order conditionsReference: 11.2 | 11.2 | ||
| Mon 11/9 | Quiz 3; Constrained optimization; the Lagrange methodReference: 12.1, 12.2 | 12.1, 12.2 | ||
| Wed 11/11 | No class (Veterans Day) | |||
| Mon 11/16 | Envelope theoremReference: 11.5 | 11.5 | ||
| Wed 11/18 | Quasiconcavity; convex sets; homogeneous functionsReference: 12.4, 12.6 | 12.4, 12.6 | ||
| Mon 11/23 | No class (Fall Recess) | |||
| Wed 11/25 | No class (Fall Recess) | |||
| Additional Topics | ||||
| Additional Topics | Mon 11/30 | Quiz 4; To be announced | ||
| Wed 12/2 | To be announced | |||
| Mon 12/7 | Final review | |||
| Wed 12/9 | Final review | |||
| Mon 12/14 | Final Exam, 5:00β6:50 PM | |||