| 7 Dec | The final exam will take place on Wednesday 16 December at 7:55. See below for details. |
| 24 Nov | Exam 3 will take place on Thursday 3 December. See below for details. |
| 22 Oct | Exam 2 will take place on Thursday 29 October. See below for details. |
| 1 Oct | Your second chance for Exam 1 is due at the beginning of class on Tuesday 6 October. See below for details. |
| 22 Sep | Exam 1 will take place on Tuesday 29 September. See below for details. |
| 21 Aug | Welcome! |
Now that the semester is over, I have removed the homework solutions.
Solutions are available here on Google Drive.
| 19 Nov | 12.2: 3. In addition, classify the critical points as local minima or local maxima. |
| 17 Nov |
12.2: 1, 2; 12.3: 1 Note that in the textbook, a stationary value is the value of a critical point. |
| 12 Nov | 11.6: 2. Hint. Solve for P1 and P2 in terms of Q1 and Q2 first. Then use P1 and P2 to write profit as a function of Q1 and Q2. |
| 10 Nov | Finish Examples 2-4 from Lesson 22. |
| 5 Nov | 11.4: 1-4, 5a |
| 3 Nov |
11.2: 1, 2 Note that the textbook refers to local optima as relative extrema. |
| 22 Oct | 17.4: 2, 3 |
| 20 Oct | 17.2: 1-4; 17.3: 1ab, 2a, 3a |
| 15 Oct | solow: 1 |
| 13 Oct | 15.5: 1-3; 15.6: 1ac, 2, 3 |
| 8 Oct | 15.4: 1ab, 2 |
| 6 Oct | 15.2: 1, 3, 4; 15.3: 1-4 |
| 1 Oct | 15.1: 1ac, 2ac, 3a, 4a |
| 24 Sep | 5.7: 1-4 |
| 22 Sep | 5.5: 1ab, 2ab; 5.6: 1b |
| 17 Sep | 5.2: 1ace, 4a; 5.3: 1, 3, 4ab |
| 15 Sep | 5.1: 5ac, 5.4: 2ac, 4ac, 6a, 7 |
| 10 Sep | RREF handout: 1-4 |
| 3 Sep | 4.6: 1, 2, 4; 5.1: 3, 4; lindep: 1-3 |
| 1 Sep | 4.3: 1acd; 4.4: 1a, 3, 5a; 4.5: 1, 2, 3ab |
| 27 Aug | 4.1: 1, 4.2: 1-5, 6be |
| 25 Aug | 3.2: 1-5; 3.3: 2, 6 |
| 8 Dec | 27 | Review |
pdf Solutions |
| 24 Nov | 26 | Applications of optimization with equality constraints |
pdf Solutions to examples |
| 19 Nov | 25 | Optimization with equality constraints, cont. |
pdf |
| 17 Nov | 24 | Optimization with equality constraints |
pdf |
| 12 Nov | 23 | Profit maximization |
pdf |
| 10 Nov | 22 | Absolute optima, convexity and concavity |
pdf Solutions to Examples 2-4 |
| 5 Nov | 21 | Optimization of functions of n variables | |
| 3 Nov | 20 | Review: optimization of functions with 1 or 2 variables, determinants | |
| 22 Oct | 19 | The cobweb model | |
| 20 Oct | 18 | Dynamic stability | |
| 20 Oct | 17 | Discrete time and difference equations | |
| 15 Oct | 16 | The Solow growth model |
pdf Solutions to Example 2 |
| 13 Oct | 15 | Qualitative analysis of differential equations |
pdf |
| 13 Oct | 14 | Nonlinear differential equations of the first order and first degree |
pdf |
| 8 Oct | 13 | Exact differential equations |
pdf |
| 6 Oct | 12 | Variable coefficients |
pdf |
| 6 Oct | 11 | Dynamics of market price |
pdf |
| 1 Oct | 10 | First-order linear differential equations with constant coefficients |
pdf |
| 24 Sep | 9 | Leontief input-output models |
pdf Completed page 6 |
| 22 Sep | 8 | Cramer's rule, applications to economic models |
pdf Solution to Example 1 |
| 17 Sep | 7 | The determinant |
pdf |
| 15 Sep | 6 | Reduced row echelon form, cont. |
pdf Solutions to Examples 6 and 7 |
| 10 Sep | 5 |
Reduced row echelon form RREF handout |
|
| 3 Sep | 4 | Transposes and inverses | |
| 1 Sep | 3 | Useful and interesting properties of matrix algebra | |
| 27 Aug | 2 | Introduction to matrices and vectors | |
| 25 Aug | 1 | Introduction |
Now that the semester is over, I have removed the quiz solutions.
| solutions | ||
| 19 Nov | Quiz 11 | |
| 12 Nov | Quiz 10 | |
| 22 Oct | Quiz 9 | |
| 15 Oct | Quiz 8 | |
| 8 Oct | Quiz 7 | |
| 1 Oct | (not really a) Quiz 6 | |
| 24 Sep | Quiz 5 | |
| 17 Sep | Quiz 4 | |
| 10 Sep | Quiz 3 | |
| 3 Sep | Quiz 2 | |
| 27 Aug | Quiz 1 |
Now that the semester is over, I have removed the exam solutions.