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Course title: Advanced Mathematics
Course code: TOAH105/TOAE105
Department: Faculty of Basic Science
Course conducting: Mathematics department
Credit hours: 3
Prerequite(s): Not required
- 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.
- COURSE CONTENTS AND SCHEDULE
|
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 |
|
11-14 |
Chaper 6: Applications of single variable function in economic and business. Mid-term test |
3 |
10 |
0 |
12 |
2, 3, 4, 5, 6 |
|
15-16 |
Chapter 7: Some problems of extending single variable functional analysis |
1 |
4 |
0 |
6 |
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 hours |
60 hours |
0 hours |
75 hours |
||
- 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: Do homework, complete Case Study, work in groups, participate in class construction, do large assignments. |
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 |
Choose one of the following: +) Multiple choice test or essay in 60 minutes time +) Combination of multiple-choice test (essay) in 60 minutes with large exercises (complete Case Study) |
1,2,3 |
20% |
|
|
Summative |
Final test |
The contents of the course
|
75-minute essay test
|
2,3,4,6 |
70% |
|
|
|
|
Total: |
100% |
|