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 P_{1} and P_{2} in terms of Q_{1} and Q_{2} first. Then use P_{1} and P_{2} to write profit as a function of Q_{1} and Q_{2}. 
10 Nov  Finish Examples 24 from Lesson 22. 
5 Nov  11.4: 14, 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: 14; 17.3: 1ab, 2a, 3a 
15 Oct  solow: 1 
13 Oct  15.5: 13; 15.6: 1ac, 2, 3 
8 Oct  15.4: 1ab, 2 
6 Oct  15.2: 1, 3, 4; 15.3: 14 
1 Oct  15.1: 1ac, 2ac, 3a, 4a 
24 Sep  5.7: 14 
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: 14 
3 Sep  4.6: 1, 2, 4; 5.1: 3, 4; lindep: 13 
1 Sep  4.3: 1acd; 4.4: 1a, 3, 5a; 4.5: 1, 2, 3ab 
27 Aug  4.1: 1, 4.2: 15, 6be 
25 Aug  3.2: 15; 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 24 
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  Firstorder linear differential equations with constant coefficients 
pdf 
24 Sep  9  Leontief inputoutput 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.