### 2018　Numerical Analysis (ICT)

Font size  SML

Undergraduate major in Information and Communications Engineering
Instructor(s)
Kaneko Hirohiko  Hasegawa Shoichi
Course component(s)
Lecture
Day/Period(Room No.)
Tue1-2(W621)  Fri1-2(W621)
Group
-
Course number
ICT.M316
Credits
2
2018
Offered quarter
4Q
Syllabus updated
2018/9/17
Lecture notes updated
-
Language used
Japanese
Access Index ### Course description and aims

Understand the principles and methods relating to numerical computation techniques by computers, and acquire the applicability to system simulation, analysis, etc.

### Student learning outcomes

Obtain the ability to use the foundation of numerical computation and numerical solution methods of algebra and analysis.

### Keywords

Numerical analysis

### Competencies that will be developed

Intercultural skills Communication skills Specialist skills Critical thinking skills Practical and/or problem-solving skills
- - - -

### Class flow

Lecture and practice during class

### Course schedule/Required learning

Course schedule Required learning
Class 1 Basics of numerical calculation Representation of numerical values in computer
Class 2 Solving simultaneous linear equations 1 (Gaussian elimination method, LU decomposition method, etc.) Understand the direct method
Class 3 Solving simultaneous linear equations 2 (Jacobi method, Gauss-Seidel method, SOR method, etc.) Understand the iterative method
Class 4 Curve estimation 1 (Least squares method) Understand least squares method
Class 5 Curve estimation 2 (polynomial interpolation, function approximation) Understand polynomial interpolation and function approximation
Class 6 Nonlinear equations Understand nonlinear equations
Class 7 Solving algebraic equations Understand solving of algebraic equations
Class 8 Review/Intermediate exam Review 1st-7th classes and evaluate the degree of comprehension
Class 9 Computing eigenvalues of a matrix Understand computation methods for eigenvalues of a matrix
Class 10 Numerical integral method Understand numerical integral method
Class 11 Solutions of ordinary differential equations 1 (Differentiation and Difference, Difference Equation) Understand differentiation and difference, difference equations.
Class 12 Solution method for ordinary differential equations 2 (initial value problem, boundary value problem) Understand solving methods for initial value problem, boundary value problem
Class 13 Solution of partial differential equation 1 (diffusion equation, implicit formula) Understand solving methods for diffusion equation, implicit formula
Class 14 Solving partial differential equations 2 (Wave equation, Laplace equation) Understand solving methods for wave equation, Laplace equation.
Class 15 Application of numerical calculation to engineering simulation Know about application of numerical calculation to engineering simulation.

### Textbook(s)

Materials used in class can be found on OCW-i.

### Reference books, course materials, etc.

No English materials are used.

### Assessment criteria and methods

Evaluate 30% by the small reports and 70% in the exams.

### Related courses

• ICT.M310 ： Mathematical Programming
• ICT.S302 ： Functional Analysis and Inverse Problems
• LAS.M101 ： Calculus I / Recitation
• LAS.M102 ： Linear Algebra I / Recitation
• LAS.M105 ： Calculus II
• LAS.M106 ： Linear Algebra II

### Prerequisites (i.e., required knowledge, skills, courses, etc.)

Completed linear algebra, differential integral classes. 