Course Details

Title Numerical Analysis
Field of Study Mathematics
Professor hanyang (summerschool@hanyang.ac.kr)
Type Academic course
Delivery Method Offline (100% offline course):
Credits 3
Contact hours 45
Schedule
Course code MAT3008
Course number
Description

Numerical methods are techniques by which mathematical problems are formulated so that they can be solved with arithmetic operations. This course will cover the basic numerical analysis techniques including root finding, curve fitting, numerical integration, numerical differentiation, ordinary differential equations, etc. This course is designed mainly for mechanical engineering major students.

Objective
  • To solve mathematical and engineering problems by numerical methods
  • To improve students’ programming skills
Preparations

Prerequisite courses are Computer Programming, and Engineering Mathematics

Materials
Evaluation
Assignment
10%
Attendance
10%
Midterm
40%
Final
40%
Lesson Plan
Class 1: Mathematical modeling and engineering problem-solving, Round-off errors and truncation errors
Class 2: Roots of equations: Bracketing methods
Class 3: Roots of equations: Open methods
Class 4: Linear algebraic equations
Class 5: Gauss elimination, LU decomposition
Class 6: Interpolation, Least-squares regression
Class 7: Midterm exam
Class 8: Numerical differentiation
Class 9: Numerical integration
Class 10: Numerical integration
Class 11: Ordinary differential equations: One-step methods
Class 12: Ordinary differential equations: One-step methods
Class 13: Ordinary differential equations: Multi-step methods
Class 14: Ordinary differential equations: Multi-step methods
Class 15: Final Exam
Last Updated November 1, 2021
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