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1. COURSE OBJECTIVES
This course aims to equip students with the basic knowledge of the foundations of advanced mathematics and its applications in economics, including:
- The basic of Linear Algebra: matrices and determinants, vector space, system of linear equations.
- The basic of Analysis: limit calculus, continuity, integral calculus, differential calculus, extremes and applications of single-variable and multi-variable calculus, methods of solving linear equations, second order linear equations.
- Introduce some linear models in business administration, the application of mathematical analysis in economics and business.
2. COURSE CONTENTS
Session
Contents
Time Allocation
Contribution to CLO
Hour(s) on the class
Essays, exercise,
Assignments
Self-study with teacher’s tutorials
Lecture
Practice, Seminar
1-2
Introduction + Chapter 1. Matrix and determinants
2
4
0
6
1, 5, 6
3-4
Chapter 2. System of linear equations
1
5
0
6
1, 5, 6
5-6
Chapter 3. Vector space
1
5
0
6
1, 5, 6
7-8
Chapter 4. Some linear models in economic analysis
1
5
0
6
2, 5, 6
9-10
Chapter 5. Linear mapping and quadratic form
1
5
0
6
1, 5, 6
11-13
Chaper 6: Applications of single variable function in economic and business.
Mid-term test
2
7
0
9
2, 3, 4, 5, 6
14-16
Chapter 7: Some problems of extending single variable functional analysis
2
7
0
9
3, 5, 6
17-18
Chapter 8: Differential calculus of multi-variable function
2
4
0
6
3, 5, 6
19-22
Chapter 9: Applications of multi-variable function in economic and business.
2
10
0
12
2, 4, 5, 6
23-25
Chapter 10: Series, differential equations and difference equation in economic and business.
Review
1
8
0
9
2, 3, 4, 5, 6
Total (hour)
15
60
0
75
3. COURSE ASSESSMENT
- Score ladder: 10
- Components of assessment
Form
Content
Criteria
CLO
Proportion
Formative
Attendance
Check your attendance in class.
Check the level of participation in the lesson and completing all the requirements of the lecturers
Number of times attending in class and the process of participating in the lesson
1,3,5
10%
Quiz, midterm test;
Report
The contents of the course
Multiple choice or essay test in about 60 minutes
1,2,3
20%
Summative
Final test
The contents of the course
75-minute essay test
2,3,4,6
70%
Total:
100%