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TOCB1101 — Đại số | Chương trình đào tạo NEU

TOCB1101 — Đại số

Credits
3
Self-study hours
81
Showing intake
K68-2026

Course description

The Algebra module belongs to the General Education Knowledge block of the bachelor's degree program in Statistics and Business Intelligence. This module equips learners with basic knowledge about sets, maps, polynomials, vector spaces, quadratic forms and effective calculation tools for systems of linear equations, matrices, and determinants. The course contribute to training scientific thinking and building a mathematical foundation for application in analyzing and researching problems in the fields of economics and business. With the knowledge, skills and competencies equipped, after completing this course, learners can easily access a number of programming languages ​​such as R, Python, ... as well as the ability to study other related subjects in the training program such as Calculus 1, Calculus 2, Optimization Theory, Discrete Math.

The course consists of 6 chapters: Chapter 1 introduces the concepts and operations of sets, maps and polynomials; Chapter 2 presents vector spaces and linear relationships between vectors; Chapter 3 deals with the concepts, properties, and operations of matrices and determinants; Chapter 4 includes the contents of the system of linear equations and its applications in economics; Chapter 5 introduces linear mappings; Chapter 6 presents the basic concepts of quadratic forms and methods of identifying definite quadratic forms.

Course requirements

Requirements for taking final /terminal exams

Students are allowed to take the final exam/terminal exams (50%) if their attendance score (10%) reaches 5 points or more (on the scale of 10).

Requirements for attending classes

Students are responsible for attending all classes. In case of absence from school due to force majeure reasons, sufficient and reasonable proofs must be provided. For each absence, 1 point will be deducted 1 point. Students who miss any classes more than 3 times, with or without reason, will be considered as failing to complete the course and have to re-register.

Students will be awarded points for constructive comments these points are added to attendance points and group assignments.

Groups who do not submit the group work will receive a score of 0 (zero). Late submissions will be deducted for each day of late submission.

Requirements for in-class behaviour

The course is conducted on the principle of respecting learners and lecturers. Any behaviour that affects the teaching and learning process is strictly prohibited.

Students must come to class on time. Students who are late more than 10 minutes after class starts will not be allowed to attend the class. Do not make noise and affect others during the learning process.

Laptops and tablets are only used for the purpose of taking notes for and calculating for lectures and exercises, absolutely forbidden to use for other purposes.

Lecturers

  • c. Nguyen Thi An
  • Le Thi Anh

Teaching plan

Week 1

Greeting and course introduction, its logic, its role and position in the program
References
Syllabus
Assessment
Level of participation Level of interaction Quality of answers

Week 1

Chapter 1. Sets, mappings and polynomials 1.1 Sets 1.2 Binary relationship 1.3. Complex numbers
References
[1] Chapter 1 [3] Chapters 1, 2
Assessment
Level of participation Level of interaction Quality of in-class answers

Week 2

Chapter 1. (cont.) 1.4. Polynomials
References
[1] Chapter 1 [3] Chapters 1, 2
Assessment
Level of participation Level of interaction Quality of in-class answers

Week 2

Chapter 2. The vector space 2.1. Systems of linear equations and Gaussian elimination
References
[1] Chapter 2 [2] Chapter 5
Assessment

Learning resources

  • Advanced Maths Textbook for Economists — Lê Đình Thuý, Nguyễn Quỳnh Lan, National Economic University Publisher, 2013
  • Advanced Mathematics — Nguyễn Đình Trí, Tạ Văn Đĩnh, Nguyễn Hồ Quỳnh, Volume 1, 2008
  • Đại số tuyến tính và hình học giải tích — Đoàn Quỳnh (Chủ biên), NXB Đại học Quốc gia Hà Nội, 1998
Level of participation Level of interaction Quality of in-class answers

Week 3

Chapter 2. (cont.) 2.2. Vectors and the vector space 2.3. Linear relationships in the vector space
References
[1] Chapter 2 [2] Chapter 5
Assessment
Level of participation Level of interaction Quality of in-class answers

Week 4

Chapter 2. (cont.) 2.4. Basis of a vector space
References
[1] Chapter 2 [2] Chapter 5
Assessment
Level of participation Level of interaction Quality of in-class answers

Week 5

Chapter 2 (cont.) 2.5. Rank of a vector system
References
[1] Chapter 2 [2] Chapter 5
Assessment
Level of participation Level of interaction Quality of in-class answers

Week 6

Chapter 3. Matrices and determinants 3.1. Matrices and linear operations for matrices 3.2. Determinants 3.3. Methods of determinant calculation
References
[1] Chapter 3 [2] Chapter 3
Assessment
Level of participation Level of interaction Quality of in-class answers

Week 8

Chapter 3. (cont.) 3.4 Matrix multiplication and matrix inverses
References
[1] Chapter 3 [2] Chapter 3
Assessment
Level of participation Level of interaction Quality of in-class answers

Week 8

Midterm test 1
References
[1] Chapters 1-3
Assessment
- Essay test / multiple choice test / group exercise

Week 9

Chapter 3. (cont.) 3.5. Rank of a matrix
References
[1] Chapter 3 [2] Chapter 3
Assessment
Level of participation Level of interaction Quality of in-class answers

Week 10

Chapter 4. Systems of linear equations 4.1. Cramers’ systems 4.2. General systems of linear equations
References
[1] Chapter 4 [2] Chapter 3
Assessment
Level of participation Level of interaction Quality of in-class answers

Week 11

Chapter 4. (cont.) 4.3 Homogeneous systems of linear equations 4.4. Applied linear models in economics
References
[1] Chapter 4 [2] Chapter 3
Assessment
Level of participation Level of interaction Quality of in-class answers

Week 12

Chapter 5. Linear mappings 5.1. Linear mappings 5.2. Matrix of a linear mappings
References
[1] Chapter 4 [2] Chapter 3
Assessment
Level of participation Level of interaction Quality of in-class answers

Week 12

Chapter 6. Quadratic forms 6.1. Characteristic polynomials, eigenvalues and eigenvectors
References
[1] Chapter 5 [2] Chapter 3
Assessment
Level of participation Level of interaction Quality of in-class answers

Week 13

Chapter 6. (cont.) 6.2. Matrix diagonalization 6.3. Basic concepts of quadratic forms
References
[1] Chapter 5 [2] Chapter 3
Assessment
Level of participation Level of interaction Quality of in-class answers

Week 13

Midterm test 2
References
[1] Chapters 4, 5
Assessment
- Essay test / multiple choice test / group exercise

Week 14

Chapter 6. (continued) 6.4. Transform quadratic forms to diagonal forms
References
[1] Chapter 5 [2] Chapter 3
Assessment
Level of participation Level of interaction Quality of in-class answers

Week 15

Chapter 5. (cont.) 6.5 Definite quadratic forms
References
[1] Chapter 5 [2] Chapter 3
Assessment
Level of participation Level of interaction Quality of in-class answers

Week 15

Review