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Textbooks: Michael Klein, Fundamental Methods of Mathematical Economics
Course Content: The course starts with a review of mathematical fundamentals of set theory, functions and algebra and introduces the concept of relation. The notions of modeling in economics are also covered in the first phases of the course. From there the course goes on to linear models, vectors and matrices. While linear models are extremely useful in economics there are some economics matters which are inherently nonlinear. This leads to the concept of the derivative of a function and the concept of limits. After reviewing these concepts the course then covers the matter of finding the maximum or minimum of functions. First the matter of the unconstrained maxima and minima are covered but the essential concept of economics is the matter of constrained maximization or minimization. This is the mathematical concept involved in optimization. Following the material on optimization there is a brief section on integration. The last section of the course deals the dynamics of economic systems, the way they change over time. The mathematical topics involved with analyzing the dynamics of systems are difference equations and differential equations.
Grading: Grades will be based upon homework, two midterm examinations, and a final examination with weights of approximately 15:25:25:35.
Course Structure:
WEEK  TOPIC  READING  HOMEWORK ASSIGNMENT 


1  Economics and Modeling  Klein Chs. 1&2  #2.1(2,4,6,8)  
2  Functions  Klein Ch. 2  #2.2(2,4), #2.3(2,3,4,6)  
3  Logarithm & Exponential Functions  Klein Ch.3  #3.1(38), #3.2(3,4,5,9,10)  
4  Linear Equilibrium Models and Matrices  Klein Ch. 4  #4.1(1,2,4,5), #4.2(1(a,b),2,4,8,10), #4.3(1,4,5), #4.4(2,3,4)  
5  Matrix Models and General Equilibrium 
Klein Ch 5 & Koopmans 1.11.4  #5.1(1,2,6), #5.2(1,2,3), #5.3(1,2)  
First Midterm Examination  
6  Differential Calculus  Klein Ch 6  #6.2(1,2,3,4,7), #6.3(1,2,3,4,7,8), #6.4(1,2,3,4)  
7  Derivatives  Klein Ch. 7  #7.1(1,2,4,5,6), #7.2(1,2,3), #7.3(1,2,3,4,6)  
8  Partial Derivatives  Klein Ch. 8  #8.2(1(a,b,c),2(a,b,c),6), #8.3(1(a),2(a),4,6)  
9  Extreme Values Univariate Functions  Klein Ch. 9  #9.1((1(a,b,c),2(a,b,c),3,4,8), #9.2(2,3,4,5)  
10  Extreme Values Multivariate Functions 
Klein Ch 10  #10.1(1(a),2(a,b),4(a,b),5), #10.2(1(a),2(a,b)), #10.3(1)  
11  Constrained Optimization  Klein Ch 11  #11.1(2,3), #11.2(1,2,3,4), #11.3(1,2,4,5),#11.4(2,4)  
Second Midterm Examination  
12  Integral Calculus  Klein Ch 12  #12.1(3,4), #12.2(1(a,b,c),2(a,b,c),7), #12.3(2,3)  
13  Dynamics  Klein Ch. 13  #13.1(1,2,3,4), #13.2(1,2), #13.3(1,2,3)  
14  Differential Equations  Klein Ch14  #14.1(1,2,3,4), #14.2(1,2), #14.3(1)  
15  Dynamic Optimization  Klein Ch15  #15.1(1,2,3), #15.2(1,2), #15.3(1)  
Final Examination 