Management Mathematics

Shih-Chin-Lee 李世欽
E-Mail:d89723008@ntu.edu.tw
Class Time: 2:20 p.m. - 5:20 p.m. on Monday, 2006

Textbook:
Kolman & Hill, Introductory Linear Algebra with Applications-An Applied First Course, 8th ed. 2005, Prentice-Hall. 華泰書局

Course Description:

This course is aimed to give you the fundamental tools of financial management. In this course, main subjects consist of basic mathematical knowledge such as linear algebra, statistics, econometrics and other quantitative analysis. Students who take this course are assumed to have the background of calculus and statistics. Beside the regular examinations, homework and anticipation in the class are important, even, some irregular quiz would be tested. The evaluation and schedule of this course are as follows.


Grading and Requirements:

Homework & Quiz 20%
Mid-term examination 40%
Final examination 40%

Course Schedule:

1. Linear Systems and Matrices
ch1.1 – 1.2
2. Matrix Operations and Transformations
ch1.3 - 1.5
3. Solutions of Linear Systems and Inverse of Matrix
ch1.6 - 1.7
4. Applications: Markov Chains and Linear Economic Models
ch2.5 - 2.6
5. Determinants
ch3.1
6. Cofactor Expansion and Cramer`s Rule
ch3.2 – 3.3
7. Vectors and Linear Transformations
ch4.1 – 4.3
8. Cross Product
ch5.1
9. Vector Spaces and Subspaces
ch6.1 - 6.2
10. Linear Independence, Basis, Dimension, and Rank
ch6.3 - 6.6
11. Change of Basis and Orthonormal Bases
ch6.7 - 6.8
12. Eigenvalues and Eigenvectors
ch8.1
13. Diagonalization
ch8.2 - 8.3
14. Linear Programming
ch11.1 – 11.2
15. Duality
ch11.3