COURSE PLAN
WEEK 1
Definition of the Mathematical Economics and its application to economic theory
Books/ Lecture Notes/ Online Resources:
ThoughtCo., Investopedia, Wikipedia, YouTube
Tian (2018). Ch. 1
Chiang & Wainwright (2006). Ch. 1
Chiang (1984). Ch. 1
Review Questions 1
WEEK 2
Sets
and set theory
Real Numbers and their Properties
Equations and Inequalities
Books/ Lecture Notes/ Online Resources:
Britannica, YouTube, Lumen, LibreText
Vali (2014). Ch. 3
Dowling (2011). Ch. 1 & 2
Chiang & Wainwright (2006). Ch. 2
Chiang (1984). Ch. 2
Rosser (2003). Ch. 3
Review Questions 2
WEEK 3
Relations, Functions and Graphs
System of equations
Applications to economic analysis
Books/ Lecture Notes/ Online Resources:
Khan Academy, WikiHow, YouTube
Vali (2014). Ch. 3
Dowling (2011). Ch. 1 & 2
Chiang & Wainwright (2006). Ch. 2.
Chiang (1984). Ch. 2
Rosser (2003). Ch. 4 – 7.
Review Questions 3
Partial and general equilibrium analysis in economics and their economic theory application
Books/ Lecture Notes/ Online Resources:
EconomicsDiscussion, eNotesWorld, YourArticleLibrary
Vali (2014). Ch. 4
Chiang (1984). Ch. 3
Chiang & Wainwright (2006). Ch. 3
Review Questions 4
WEEK 5
Linear
Models and Matrix Algebra
- Basic Concepts
- Addition and subtraction of matrices
- Matrix Multiplication
- The matrix form of a system of linear equations
Books/ Lecture Notes/ Online Resources:
Vali (2014). Ch. 13
Dowling (2011). Ch. 10-12
Chiang (1984). Ch. 4-5
Chiang & Wainwright (2006). Ch. 4-5
Rosser (2003). Ch. 11 & 15
Review Questions 5
WEEK 6
- The matrix form of a system of linear equations
Books/ Lecture Notes/ Online Resources:
Vali (2014). Ch. 13.
Dowling (2011). Ch. 10-12
Chiang (1984). Ch. 4-5
Chiang & Wainwright (2006). Ch. 4-5.
Rosser (2003). Ch. 11 & 15
Review Questions 6
WEEK 7
Linear
Models and Matrix Algebra
- Solution of systems of linear equations
by the inverse matrix.
- Application to economic analysis.
Books/ Lecture Notes/ Online Resources:
Vali (2014). Ch. 13
Dowling (2011). Ch. 10-12
Chiang & Wainwright (2006). Ch. 4-5.
Rosser (2003). Ch. 5, 11 & 15
Review Questions 7
WEEK 8
Linear
Models and Matrix Algebra
- Solution of systems of linear equations
by the inverse matrix.
- Application to economic analysis.
Books/ Lecture Notes/ Online Resources:
Vali (2014). Ch. 13.
Dowling (2011). Ch. 10-12
Chiang & Wainwright (2006). Ch. 4-5.
Chiang (1984). Ch. 4-5.
Rosser (2003). Ch. 5, 11 & 15
Review Questions 8
WEEK 9: MIDTERM EXAMINATION
WEEK 10
Introduction to Calculus
Comparative Statics and the Concept of
the Derivative
- Concept of Derivatives
- Rules of differentiation and partial differentiation
Books/ Lecture Notes/ Online Resources:
Vali (2014). Ch. 5
Dowling (2011). Ch. 3-6 & 13
Chiang (1984). Ch. 6-9
Chiang & Wainwright (2006). Ch. 6-9
Rosser (2003). Ch. 8 – 12
Review Questions 10
WEEK 11
Application
of the Comparative Statics and the Concept of the Derivative to economic
analysis
Books/ Lecture Notes/ Online Resources:
Vali (2014). Ch. 6-8 & 13.
Dowling (2011). Ch. 3-6
Chiang & Wainwright (2006). Ch. 6-9
Chiang (1984). Ch. 6-9
Rosser (2003). Ch. 8 – 12.
Review Questions 11
WEEK 12
WEEK 13
WEEK 14
WEEK 15
WEEK 16
WEEK 17
WEEK 18
WEEK 19
Suggested Readings and References
Chiang, A. & Wainwright, K. (2006). Fundamental Methods of Mathematical Economics (4th Edition).
Chiang, A. (1984). Fundamental Methods of Mathematical Economics (3rd ed.). McGraw-Hill Education
Kronewetter, J. (2013). UCI Open: Math for economists.
Online Text and Notes in Mathematical Economics.
Osborne, M. J. Mathematical methods for economic theory.
Rosser, M. (2003). Basic Mathematics for Economists. Routledge.
Tian, G. (2018). Lecture Notes: Mathematical Economics.
Vali, S. (2014). Principles of Mathematical Economics. Atlantis Press.