SAMPLE COURSE

Introduction to Mathematical Economics

Description:

The course will develop the mathematical tools of calculus and matrix algebra and show how these tools may be used in doing economic analysis.  Topics that will be covered include continuity, derivatives and optimization of functions of one variable; matrices, determinants and inverse matrices; partial derivatives, unconstrained and constrained optimization of functions of several variables; comparative statics.  If time permits, there may be an introduction to economic dynamics.

Text:

A.C. Chiang & K. Wainwright,
Fundamental Methods of Mathematical Economics, 4th edition,
McGraw Hill.

Outline:

Reading Unit Topic and Selected Chapters from Text

WEEK TOPIC READING ASSIGNMENTS
These assignments that will be graded over the term. 
They will be covered in the regular tutorial.
ANSWERS
Solutions are generated
in MAPLE and published in
Adobe PDF
1 Equilibrium Analysis/Linear Models and Matrix Algebra CH 3,4   PASSWORD REQUIRED
2 Linear Models and Matrix Algebra CH 5
Hand-in Assignment 1
HW 1 Key
3 Linear Models and Matrix Algebra, continued CH 5
Hand-in Assignment 2
HW 2 Key
4 Differentiation and Comparative Statics CH 6, 7
Hand-in Assignment 3
HW 3 Key
5 Comparative Statics of General Function Models CH 8  
6 Comparative Statics, continued  CH 8
Hand-in Assignment 4
HW 4 Key
7 Optimization and Equilibrium  CH 9
 Hand-in Assignment 5
HW 5: Q's 1-3 key and Q4 Key
8 Exponential and Logarithmic Functions CH 10
Hand-in Assignment 6
HW 6 Key
9 Multi variable optimization CH 11  
10 Optimization with Equality Constraints CH 12
Hand-in Assignment 7
HW 7 Key
11 Optimization with Equality Constraints (continued) CH 12
 Hand-in Assignment 8
HW 8 Key
12 Non-Linear Programming and Kuhn-Tucker conditions CH 13  Hand-in Assignment 9HW 9 Key
13 Duality and the Envelope Theorem CH 13
Hand-in Assignment 10
HW 10 Key


  

Weekly Tutorial Assignments

 List of recommended Chapter Questions


Lecture/Study Notes:
Matrix Algebra (ch 4 & 5)
Partial Derivatives and Implicit differentiation 1 (ch 7& 8)
Two Variable Optimization With Economic Applications (ch 11)
Envelope Theorem (ch 13)
Practice Midterm
Practice Final #1
Practice Final #2
   

Using Maple:

Using the "Maple" software package is not required for this course. However, it is a powerful and useful package, especially if a student plans on going on to Graduate Studies. Students are encouraged to try it out.

Instructions:

    Lab: Practice Assignment one This reviews material from chapters 1-3
    Lab: Practice Assignment two This Assignment reviews functions and demonstrates plots in 2-D and 3-D
    Lab:
    Lab: Practice Assignment five Solving nonlinear systems of equations