管理數學：商業應用與課程大綱

課程名稱

Course Title

(中文)管理數學

(英文)Mathematics with Business Applications

授課教師

Instructor

Li-Ming Chen陳立民

開課單位

Departments

Business Administration

學分數

Credit(s)

3 Credits

修課對象

Target Students

Sophomore

課程目標

Course Objectives

This is an introductory (and fundamental) course on providing the basic knowledge of linear algebra, linear programming, calculus, non-linear functions, and probability theory. Students will also learn the applications in different business and operational areas.

課程大綱

Course Description

This course will include the following topics

1. Basic mathematical concepts such as sets, functions, vectors, and

Matrices

2. Introduction of Linear Algebra

3. Applications and formulations of Linear Programming (LP)

4. Simplex algorithm, duality, and sensitivity analysis

5. Solving LP problems by software

6. Fundamentals and applications of probability

7. Basic concept of derivatives

8. Advanced Topics (Markov Chain, Nonlinear Programming)

教學方式

Instructional Method

上課進度 Weekly Course Schedule

Week 1 Course Overview (09/18)

Week 2 Systems of Linear Equations and Matrices (09/25)

Week 3 One-dimensional Nonlinear Function (10/02)

Week 4 Dynamic Programming, Game Theory (10/09)

Week 5 Linear Programming (LP) Formulation and Applications (10/16)

Week 6 Graphical Interpretation and Standard Form of LP, Quiz 1 (10/23)

Week 7 Simplex Method and Duality (possibly Sensitivity Analysis) (10/30)

Week 8 Excel and Optimization Software (AMPL) (11/06)

Week 9 Review Session, Group Mini-presentation (11/13)

Week 10 Midterm Exam (11/20)

Week 11 No class (11/27)

Week 12 Midterm Review, Axioms of Probability (12/04)

Week 13 Conditional Probability and Independence (12/11)

Week 14 Discrete Random Variables (12/18)

Week 15 Continuous Random Variables, Quiz 2 (12/25)

Week 16 No class (New Year) (01/01)

Week 17 Markov Chain, Group Mini-presentation (01/08)

Week 18 Final Exam (01/15)

教學方式

Instructional Method

1. Lecture each chapter through PowerPoint and blackboard

2. Encourage students to demonstrate their own thought and communicate with peers.

課程要求

Course Requirements

1. Students will be given several homework assignments. All the homework will be collected at the beginning of the class. No late homework assignments will be accepted except the unanticipated absences such as the illness with a doctor’s report and family death.

2. The mid-term exam will be given during the class period and the final exam will be held in the official examination period.

3. Students are encouraged to discuss and share the ideas of course materials and homework. However, all the work needs to be accomplished individually without help. In other words, copying someone’s homework solution is strictly not allowed.

評量方式 Evaluation

Mid-term Exam (30%), Final Exam (30%), Quizzes, Assignments, In-class Discussion and Participation (25%), Presentation (15%)

(Note: Will check the attendance randomly 2-3 times)

教材及參考書目

Textbooks & Suggested Materials

S. Waner and S. Costenoble. Finite Mathematics, 4^th edition, Thomson.

Suggested Reference:

W. Winston and M. Venkstaramanan. Introduction to Mathematical Programming, Thomson.F. Hillier and G. Lieberman. Introduction to Operations Research, McGraw-Hill.

S. Ross. A first Course in Probability, Prentice Hall.

課程相關 連結網址

Course Website

TBA(Through the E-learning System)

備註

Remarks