18.330
Introduction to Numerical Analysis
Basic techniques for the efficient numerical solution of problems in science and engineering. Root finding, interpolation, approximation of functions, integration, differential equations, direct and iterative methods in linear algebra. Knowledge of programming in a language such as MATLAB, Python, or Julia is helpful.
Spring 2012
This course analyzed the basic techniques for the efficient numerical solution of problems in science and engineering. Topics spanned root finding, interpolation, approximation of functions, integration, differential equations, direct and iterative methods in linear algebra.
Spring 2004
Topics
- Root Finding: Solutions of Equations in One Variable (and some Roots of Nonlinear Systems)
- Quadrature: Numerical Integration (and some Lagrange Interpolation)
- ODEs: Initial-Value Problems for Ordinary Differential Equations
- Ax=b: Direct Methods for Solving Linear Algebra
- Ax=λx: Iterative Techniques in Matrix Algebra; Approximating Eigenvalues
Readings
- Burden, Richard L., and J. Douglas Faires. Numerical Analysis . 7th ed. Belmont, CA: Brooks Cole, 2000. ISBN: 0534382169.
Prerequisites & course information
Prereq: Calculus II (GIR) and ( 18.03 or 18.032 ) U (Spring) Not offered regularly; consult department 3-0-9 units
Sources
- Course catalogue ↗2026–2027
- MIT OpenCourseWare ↗Spring 2012
- MIT OCW syllabus ↗
- MIT OpenCourseWare ↗Spring 2004
- MIT OCW calendar ↗
- MIT OCW syllabus ↗
- Historical MIT OpenCourseWare offering. Named reading entries and schedule topics are automatically extracted from the linked source pages.
- Historical MIT OpenCourseWare offering. Named reading entries and schedule topics are automatically extracted from the linked source pages.