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EP17.CNTT1182 — Numerical Methods | Chương trình đào tạo NEU

EP17.CNTT1182 — Numerical Methods

Credits
3
Self-study hours
90
Showing intake
K68-2026

Course description

This course provides basic concepts of numerical analysis; polynomial interpolation; function approximation. The module also provides knowledge about numerical methods in approximate calculation of derivatives and integrals, solution of equations, system of linear equations, and differential equations. Use the Matlab programming language to simulate the above methods.

This course also aims to train thinking skills and the ability to self-study related knowledge and technology by working independently as well as in groups. Students will be assigned group exercises to learn programming languages ​​to solve problems related to calculation methods and problems in the field of Information Technology.

Course requirements

Requirements for taking final /terminal exams

Students are allowed to take the final exam if their attendance score 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

  • Nguyễn Quỳnh Mai
  • Phạm Minh Hoàn

Teaching plan

Week 1

Course introduction: objectives, role, position of the course in the training program
References
Detailed course syllabus
Assessment
Participation Interaction
Chapter 1. Basic concepts Introduce Errors analysis Different Type of Errors How to write approximate numbers Rounding error Rules for calculating errors. Introduction about Matlab
References
[1] Chapter 1 [2] Chapter 1
Assessment
Participation Interaction Answer Quality

Week 3

Chapter 2. Interpolation by Polynomials Interpolation problem - Introduction - The uniqueness of interpolation polynomials Lagrange Interpolation - Lagrange Interpolation (first-order, higher-order interpolation) - Error in Polynomial Interpolation Newton interpolation 2.4. Reverse Interpolation
References
[1] Chapter 2 [2] Chapter 5
Assessment
Participation Interaction Answer Quality

Week 5

Chapter 3. Approximation of functions by the method of least squares 3.1. Introduction Problem Use the least squares method in cases: y= -

Learning resources

  • Introduction to Numerical Analysis, J. Stoer and R. Bulirsch, Springer, 1992 — Introduction to Numerical Analysis, J. Stoer and R. Bulirsch, Springer, 1992
  • Introduction to Numerical Analysis, S. Baska, India Institute of Technology Bombay
  • Numerical Methods for Engineers, Steven C. Chapra, Raymond P. Canale, McGraw-Hill
  • Numerical Methods (Problems and Solutions), M. K. Jain, S. R. K. Iyengar, R. K. Jain, New Age International Puslishers
References
[1] Chapter 4
Assessment
Participation Interaction Answer Quality
Chapter 4. Approximate Derivatives and Integrations 4.1. Derivative - Interpolation polynomials - Taylor expantion Integrations -Introduction - Trapezoidal formulas - Simpson's formula Matlab Program
References
[1] Chapter 3 [2] Chapter 6
Assessment
Participation Interaction Answer Quality

Week 7

Chapter 5. Nonlinear Equations Bisection Method Iteration Method Newton Method Secant Method Matlab Program Short test
References
[2] Chapter 4
Assessment
Participation Interaction Answer Quality

Week 9

Midterm (Test 1)
Assessment
Participation Answer Quality

Week 10

Chapter 6. Systems of Linear Equations Introduction to Systems of Linear Equations Gaussian Elimination Gauss – Jordan Algorithm Matrix Norm Iterative Methods Eigenvalue Problem Matlab Program Short test
References
[1] Chapter 4 [2] Chapter 3
Assessment
Participation Answer Quality

Week 12

Chapter 7. Ordinary Differential Equations 7.1. Review on Theory 7.2. Taylor’s chain Method 7.3. Euler’s Method 7.4. Runge-Kutta Method Matlab Program
References
[1] Chapter 7 [2] Chapter 7
Assessment
Participation Interaction Answer Quality

Week 13

Presentation of group exercises
Assessment
Participation Interaction Discussion at class

Week 15

Course review
References
All chapters
Assessment
Participation Interaction