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TOCB1102 — Calculus | Chương trình đào tạo NEU

TOCB1102 — Calculus

Số tín chỉ
3
Giờ tự học
81
Khoá hiển thị
K68-2026

Mô tả học phần

The course is part of the bachelor's degree program in Mathematic Economics and Computer Science. This course provides basic knowledge of calculus about functions of one variable and functions of many variables. The course also aims to train thinking ability, calculation skills and improve the ability to apply mathematical knowledge to analyze and study problems in the economics and business. The course equips students with the necessary knowledge, skills and competencies to study related courses in the training program, and to continue to higher education. The course consists of 5 chapters: Chapter 1 introduces functions and limits, Chapter 2 presents the differentiation of functions of one variable and its applications, Chapter 3 deals with functions of several variables; Chapter 4 focuses on optimization problems of functions of several variables and their applications in economics; Chapter 5 presents integration of functions of one variable and its applications in economics.

Yêu cầu của học phần

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.

Giảng viên

  • Le Thi Anh
  • Phung Minh Duc
  • Dang Huy Ngan
  • ilto:

Kế hoạch giảng dạy

Tuần 1

Greeting and course introduction, its logic, its role and position in the program
Tài liệu tham khảo
Syllabus
Đánh giá
Level of participation Level of interaction Quality of answers

Tuần 1

Chapter 1. Functions and limits 1.1 Functions 1.2 Sequences and limits
Tài liệu tham khảo
[1] Chapter 6 [2] Chapter 1 [3] Vol. 2 - Chapters 2, 3
Đánh giá
Level of participation Level of interaction Quality of in-class answers

Tuần 2

Chapter 1 (cont.) 1.3. The limit of a function
Tài liệu tham khảo
[1] Chapter 6 [2] Chapter 1 [3] Vol. 2 - Chapters 2, 3
Đánh giá
Level of participation Level of interaction Quality of in-class answers

Tuần 3

Chapter 1: (continued) 1.4. Continuity
Tài liệu tham khảo
1] Chapter 6 [2] Chapter 1 [3] Vol. 2 - Chapters 2, 3

Học liệu

  • Advanced Maths Textbook for Economists — Lê Đình Thuý, Nguyễn Quỳnh Lan, National Economic University Publisher, 2013
  • Calculus, 7e, Volume 1, Volume 2, Hồng Đức Publisher Vietnamese Version) — James Stewart, 2016
  • Advanced Mathematics — Nguyễn Đình Trí, Tạ Văn Đĩnh, Nguyễn Hồ Quỳnh, Volume 2, 2008
Đánh giá
Level of participation Level of interaction Quality of in-class answers

Tuần 3

Chapter 2. Differentiation 2.1 Derivatives
Tài liệu tham khảo
[1] Chapter 7 [2] Chapter 2 [3] Vol.2 - Chapter 4 [4] Chapter 2 [5] Chapter 2
Đánh giá
Level of participation Level of interaction Quality of in-class answers

Tuần 4

Chapter 2 (cont.) 2.2 Differentials 2.3 Higher-order derivatives, Taylor expansion formula
Tài liệu tham khảo
[1] Chapter 7 [2] Chapter 2 [3] Vol.2 - Chapter 4
Đánh giá
Level of participation Level of interaction Quality of in-class answers

Tuần 5

Chapter 2 (cont.) 2.4 Applications of differentiation In mathematics
Tài liệu tham khảo
[1] Chapter 7 [2] Chapter 3 [3] Vol.2 - Chapter 4
Đánh giá
Level of participation Level of interaction Quality of in-class answers

Tuần 6

Chapter 2 (cont.) 2.5 Applications of differentiation in economic analysis
Tài liệu tham khảo
[1] Chapter 7 [2] Chapter 3 [3] Vol.2 - Chapter 4
Đánh giá
Level of participation Level of interaction Quality of in-class answers

Tuần 6

Midterm test 1
Tài liệu tham khảo
[1] Chapters 6, 7
Đánh giá
- Essay test / multiple choice test / group exercise

Tuần 7

Chapter 3. Functions of several variables 3.1. Functions of several variables 3.2. Limits and continuity
Tài liệu tham khảo
[1] Chapter 8 [2] Vol. 2- Chapter 14 [3] Vol. 3 - Chapter 1
Đánh giá
Level of participation Level of interaction Quality of in-class answers

Tuần 8

Chapter 3 (cont.) 3.3. Partial derivatives and total diferentials 3.4. Homogeneous functions and returns to scale
Tài liệu tham khảo
[1] Chapter 8 [2] Vol. 2- Chapter 14 [3] Vol. 3 - Chapter 1

Tuần 9

Chapter 3 (cont.) 3.5. Implicit functions
Tài liệu tham khảo
[1] Chapter 8 [2] Vol.1- Chapter 2 [3] Vol.3 - Chapter 1
Đánh giá
Level of participation Level of interaction Quality of in-class answers

Tuần 9

Chapter 4. Optimizations 4.1. Optimizing function of several variables
Tài liệu tham khảo
[1] Chapter 9 [2] Chapter 14 [3] Vol.3 - Chapter 1
Đánh giá
Level of participation Level of interaction Quality of in-class answers

Tuần 10

Chapter 4. Optimizations 4.2. Constrained optimization: the method of Lagrange Multipliers 4.3. Problems of consumer choice
Tài liệu tham khảo
[1] Chapter 9 [2] Chapter 14 [3] Vol.3 - Chapter 1
Đánh giá
Level of participation Level of interaction Quality of in-class answers

Tuần 11

Chapter 4 (cont.) 4.4. Problems of producer choice
Tài liệu tham khảo
[1] Chapter 9
Đánh giá
Level of participation Level of interaction Quality of in-class answers

Tuần 11

Chapter 5. Integration 5.1. Antiderivatives and indefinite integrals
Tài liệu tham khảo
[1] Chapter 10 [2] Chapters 3, 4 [3] Vol. 2 - Chapters 6, 7
Đánh giá
Level of participation Level of interaction Quality of in-class answers

Tuần 12

Chapter 5. (cont.) 5.2. Integral calculation methods
Tài liệu tham khảo
[1] Chapter 10 [2] Chapters 3, 4 [3] Vol. 2 - Chapters 6, 7
Đánh giá
Level of participation Level of interaction Quality of in-class answers

Tuần 13

Chapter 5. (cont.) 5.2. Integral calculation methods 5.3. Basic integral forms
Tài liệu tham khảo
[1] Chapter 10 [2] Chapters 3, 4 [3] Vol. 2 - Chapters 6, 7
Đánh giá
Level of participation Level of interaction Quality of in-class answers

Tuần 14

Chapter 5. : (continued) 5.4. Definite integrals
Tài liệu tham khảo
[1] Chapter 10 [2] Chapter 4 [3] Vol. 2 - Chapter 6, 7
Đánh giá
Level of participation Level of interaction Quality of in-class answers

Tuần 15

Chapter 5. (cont.) 5.5 Applications of integration in economics
Tài liệu tham khảo
[1] Chapter 15 [2] Chapter 15 [3] Chapters 15, 16
Đánh giá
Level of participation Level of interaction Quality of in-class answers

Tuần 15

Review