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Lecture
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Homework
problems
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Week/
Day
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Chapter/
Section
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Page
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Topic
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Background
material
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Week/
Day
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Page
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Exercise
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Problems with Answers
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Assigned
Problems
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Wk
1
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Ch.
1
top
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2
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The Nature of Mathematical
Economics
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Math
143
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Wk
1
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T
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1.1
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2
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Mathematical
versus Nonmathematical Economics
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-
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T
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1.2
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4
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Mathematical
Economics versus Econometrics
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-
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Wk 1
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Ch.
2
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5
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Economic Models
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Wk 1
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|
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T
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2.1
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5
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Ingredients
of a Mathematical Model
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|
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|
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T
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2.2
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7
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The
Real-Number System
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T
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2.3
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8
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The
Concept of Sets
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14
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2.3
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1a,
3a, 3c,
3e, 8, 9
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|
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T
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2.4
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15
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Relations
and Functions
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|
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19
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2.4
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1a,
3,
5
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T
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2.5
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20
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Types
of Function
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Th
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24
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2.5
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2a,
2b, 2c, 4, 5a, 6a
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4 |
T
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2.6
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25
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Functions
of Two or More Independent Variables
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|
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T
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2.7
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27
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Levels
of Generality
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Wk
1
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Ch.
3
top
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29
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Static (or Equilibrium) Analysis
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Wk
1
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T
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3.1
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30
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The
Meaning of Equilibrium
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|
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T
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3.2
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31
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Partial
Market Equilibrium - A Linear Model
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Th
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34
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3.2
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1,
3, 5
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1 |
T
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3.3
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35
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Partial
Market Equilibrium - A Nonlinear Model
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Th
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40
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3.3
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1a,
3a, 5a, 5c
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1a,
3a,5a
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T
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3.4
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40
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General
Market Equilibrium
|
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Th
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45
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3.4
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3
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3
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T
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3.5
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46
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Equilibrium
in National-Income Analysis
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Th
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47
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3.5
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1b,
3
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1a,
1b, 2a, 2c |
Wk
2
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Ch. 4
top
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48
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Linear Models & Matrix Algebra Linear
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Wk
2
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T
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4.1
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49
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Matrices
and Vectors
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Th
|
51
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4.1
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1
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1, 2, 5
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T
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4.2
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51
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Matrix
Operations
|
|
Th
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58
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4.2
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1a,1c,3,4b,4c,
6a, 6c, 7b, 7d
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3,
4c |
T
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4.3
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59
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Notes
on Vector Operations
|
|
Th
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65
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4.3
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1a,1c,1e,1g,
3a, 3b, 5a, 5c, 7a, 9c
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3a,
3b |
T
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4.4
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67
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Commutative,
Associative, and Distributive Laws
|
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Th
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69
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4.4
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1a,2,4a
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2 |
T
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4.5
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70
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Identity
Matrices and Null Matrices
|
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Th
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72
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4.5
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1a,
1c,
3a, 3c, 4
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1c
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T
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4.6
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73
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Transposes
and Inverses
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Th
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78
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4.6
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1,
3, 5
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3 |
| T |
4.7 |
78 |
Finite
Markov Chains |
|
Th |
81 |
4.7
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|
1(a),1(b)(i),1(c) |
Wk 3
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Ch. 5
top
|
82
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Linear Models & Matrix Algebra
Linear
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Wk
4
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|
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Th
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5.1
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82
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Conditions
for Non-singularity of a Matrix
|
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T
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87
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5.1
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1a,
1c,
1e, 3a, 3d, 5a, 5b
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5b
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Th
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5.2
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88
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Test
of Non-singularity by Use of Determinant
|
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T
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93
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5.2
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1a,
1c,
1e, 3, 4a, 5
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4a
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Th
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5.3
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94
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Basic
Properties of Determinants
|
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T
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98
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5.3
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3a,
3b, 4a, 4c, 5a, 5c, 7
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4a,
4c, 7
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Th
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5.4
|
99
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Finding
the Inverse Matrix
|
|
T
|
102
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5.4
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1,3a,
3b, 4a, 4c
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3a,
3b, 4a, 4c
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| Wk
4 |
Ch. 5
top
|
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Linear Models & Matrix Algebra
Linear
|
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Wk
5
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Th
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5.5
|
103
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Cramer's
Rule
|
|
T
|
107
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5.5
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1a,
1c, 2a, 2c, 3a, 3c, 4
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3c
|
Th
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5.6
|
107
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Application
to Market and National-Income Models
|
|
T
|
111
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5.6
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1a,
1b
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1a,
1b, 3
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Th
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5.7
|
112
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Leontief
Input-Output Models
|
|
T
|
120
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5.7
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1,
3a, 3c, 4a
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1,
2, 3a, 3c, 4a, 4d
|
Th
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5.8
|
120
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Limitations
of Static Analysis
|
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Wk
6
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Ch.
6
top
|
124
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Comparative statics & the
concept of derivatives
|
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Wk
7
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|
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Th
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6.1
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124
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The
Nature of Comparative Statics
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Th
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6.2
|
125
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Rate
of Change and the Derivative
|
|
T
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127
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6.2
|
1a,
1b, 1c, 3a
|
1b,3a
|
Th
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6.3
|
128
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The
Derivative and the Slope of a Curve
|
|
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|
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Th
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6.4
|
129
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The
Concept of Limit
|
|
T
|
135
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6.4
|
1,
3a,
3b
|
3a,3b
|
Th
|
6.5
|
136
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Digression
on Inequalities and Absolute Values
|
|
T
|
139
|
6.5
|
1a,
1c, 3a, 3c
|
1c,3b
|
Th
|
6.6
|
139
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Limit
Theorems
|
|
T
|
141
|
6.6
|
1a,
1c, 3a, 3c
|
1c,3c
|
Th
|
6.7
|
141
|
Continuity
and Differentiability of a Function
|
|
T
|
146
|
6.7
|
2a,
2b, 2c, 3a, 3b, 3c, 6
|
2c,3b,3c,6
|
Wk
7
|
Ch.
7
top
|
148
|
Comparative statics & rules of
differentiation
|
-
|
Wk
8
|
|
|
|
|
Th
|
7.1
|
148
|
Rules
of Differentiation for a Function of One Variable
|
|
T
|
152
|
7.1
|
1a,
1c, 1e, 3a, 3c
|
3c
|
Th
|
7.2
|
152
|
Rules
of Differentiation Involving Two or More Functions of the Same
Variable
|
-
|
T
|
160
|
7.2
|
1,3a,3c,
3e, 4b, 7a, 7c, 8a, 8c
|
1,
4b, 10a |
|
Th
|
7.3
|
161
|
Rules
of Differentiation Involving Functions of Different Variables
|
-
|
T
|
165
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7.3
|
1,3a,
3c, 5
|
6a |
|
Th
|
7.4
|
165
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Partial
Differentiation
|
-
|
T
|
169
|
7.4
|
1a,
1c, 3a, 3c, 5a
|
4,
5a, 5b, 6a |
Th
|
7.5
|
170
|
Applications
to Comparative-Static Analysis
|
-
|
T
|
175
|
7.5
|
1,
2
|
1, 2
|
Th
|
7.6
|
175
|
Note
on Jacobian Determinants
|
-
|
T
|
177
|
7.6
|
1a,
1b
|
1b
|
Wk
8
|
Ch.
8
top
|
187
|
Comparative statics of general
function models
|
-
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Wk
9
|
|
|
|
|
Th
|
8.1
|
179
|
Differentials
|
-
|
T
|
184
|
8.1
|
1a,
1c, 3a
|
3a,3b,6a,6b |
Th
|
8.2
|
184
|
Total
Differentials
|
|
T
|
186
|
8.2
|
2a,
3a, 4, 6
|
2a,2b,4,6 |
Th
|
8.3
|
187
|
Rules
of Differentials
|
-
|
T
|
189
|
8.3
|
3a,
4
|
1a,1b |
Th
|
8.4
|
189
|
Total
Derivatives
|
-
|
T
|
193
|
8.4
|
1a,
1c, 3, 4b
|
3,6 |
Th
|
8.5
|
194
|
Derivatives
of Implicit Functions
|
-
|
T
|
204
|
8.5
|
5a,
5b, 7, 8
|
5a,5b,8
|
Th
|
8.6
|
205
|
Comparative
Statics of General-Function Models
|
-
|
T
|
217
|
8.6
|
1c,
3
|
1c,3,5
|
Th
|
8.7
|
218
|
Limitations
of Comparative Statics
|
-
|
|
|
|
|
|
Wk
10
|
Ch.
9
top
|
219
|
Optimization: special case of
equilibrium analysis
|
|
Wk
11
|
|
|
|
|
Th
|
9.1
|
221
|
Optimum
Values and Extreme Values
|
-
|
T
|
|
|
|
|
Th
|
9.2
|
222
|
Relative
Maximum and Minimum: First -Derivative
Test
|
-
|
T
|
226
|
9.2
|
1a,
1c, 2a, 4d
|
2a,
4d
|
|
Th
|
9.3
|
227
|
Second
and Higher Derivatives
|
|
T
|
233
|
9.3
|
1a,
1c, 3b, 5
|
3b,
5
|
Th
|
9.4
|
233
|
Second-Derivative
Test
|
-
|
T
|
241
|
9.4
|
1a,
1c, 2, 3e, 3d, 5a, 5b, 5c, 7b
|
1c,
2, 3d, 3e, 7b
|
|
Th
|
9.5
|
242
|
Digression
on Maclaurin and Taylor Series
|
-
|
T
|
250
|
9.5
|
1a,
1c, 1e, 2a, 3b
|
1e, 2a |
Th
|
9.6
|
250
|
Nth-Derivative
Test for Relative Extremum of a Function of One Variable
|
-
|
T
|
254
|
9.6
|
1a,
1c, 2b
|
1a,
2b
|
|
Wk
11
|
Ch.
10
top
|
255
|
Exponential & Log Functions
|
Math
143
ch 5
|
Wk
12
|
|
|
|
|
Th
|
10.1
|
256
|
| |
