Understand the principles and methods relating to numerical computation techniques by computers, and acquire the applicability to system simulation, analysis, etc.
Obtain the ability to use the foundation of numerical computation and numerical solution methods of algebra and analysis.
Numerical analysis
Intercultural skills | Communication skills | Specialist skills | Critical thinking skills | Practical and/or problem-solving skills |
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- | - | ✔ | - | - |
Lecture and practice during class
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 | Norm, condition number and computing eigenvalues of a matrix (1) | Understand condition number and sensitivity, and computation methods for eigenvalues of a matrix |
Class 10 | Computing eigenvalues of a matrix (2) | Understand computation methods for eigenvalues of a matrix |
Class 11 | Numerical integral method | Understand numerical integral method |
Class 12 | Solutions of ordinary differential equations 1 (Differentiation and Difference, Difference Equation) | Understand differentiation and difference, difference equations. |
Class 13 | Solution method for ordinary differential equations 2 (initial value problem, boundary value problem) | Understand solving methods for initial value problem, boundary value problem |
Class 14 | Solution of partial differential equation 1 (diffusion equation, implicit formula) | Understand solving methods for diffusion equation, implicit formula |
Class 15 | Solving partial differential equations 2 (Wave equation, Laplace equation) | Understand solving methods for wave equation, Laplace equation. |
Materials used in class can be found on OCW-i.
No English materials are used.
Evaluate 30% by the small reports and 70% in the exams.
Completed linear algebra, differential integral classes.