ECON 331 Introduction to

Kevin
Wainwright


Spring 2007 
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. (Lecture/Tutorial) Prerequisites: ECON 103, 105 and MATH 157 or 151; 60 credit hours. 
Assignments  10 percent 
2 MidTerms  40 percent 
Final Examination  50 percent 
Please note that I will be posting only a limited selection of Answer Keys. Do not expect that all problems and practice questions will have answers supplied.
The Rationale:
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  
2  Linear Models and Matrix Algebra  CH 5 

HW 1 Key 
3  Linear Models and Matrix Algebra, continued  CH 5 

HW 2 Key 
4  Differentiation and Comparative Statics  CH 6, 7 

HW 3 Key 
5  Comparative Statics of General Function Models  CH 8  
5  MIDTERM 1  
6  Comparative Statics, continued  CH 8 

HW 4 Key 
7  Optimization and Equilibrium  CH 9 

HW 5: Q's 13 key and Q4 Key 
8  Exponential and Logarithmic Functions  CH 10 

HW 6 Key 
9  Multi variable optimization  CH 11  
9  MIDTERM 2  
10  Optimization with Equality Constraints  CH 12 

HW 7 Key 
11  Optimization with Equality Constraints (continued)  CH 12 

HW 8 Key 
12  NonLinear Programming and KuhnTucker conditions  CH 13  HW 9 Key  
13  Duality and the Envelope Theorem  CH 13  HW 10 Key 
NOTE:COURSE
OUTLINE SUBJECT TO CHANGE 1ST WEEK OF CLASS
Weekly Tutorial Assignments
Each week students will be expected to come to tutorial having attempted the chapter questions assigned. The TA will go over selected questions but will not always be able to cover all the questions assigned. Therefore students are responsible for informing the TA which questions gave them the greatest difficulty. Further, the TA will ask the students to do certain problems in the tutorial. This will allow the TA to observe where students have problems as well as give the students a chance to work on questions with the TA readily available to lend assistance. For the list of 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) 

I will be supplying answer keys in maple to homework.
Practice Midterm
Practice Final #1 Practice Final #2 
Selected
answers to Midterm
Selected answers to Final #1 Selected answers to Final #2 