cs205a- week1 – mathematical methods for robotics, vision, and graphics概述

概述

课程 - CS205A: Mathematical Methods for Robotics, Vision, and Graphics

course website: Mathematical Methods for Robotics, Vision, and Graphics

课本：Numerical Algorithms, Justin Solomon

可选课本：Scientific Computing, Heath

Two roles：

• Client of Numerical Methods

• Designer of Numerical Methods

课程内容

1 - Numerics

• Stability and Error Analysis

• Floating-Point Representations

2 - Linear Algebra

• Gaussian Elimination and LU

• Column Spaces and QR

• Eigenproblems

• Applications

3 - Root-Finding and Optimization

• Singe-Variable

• Multivariable

• Constrained Optimization

• Iterative Linear Solvers: Conjugate gradients and friends

4 - Interpolation and Quadrature

• Approximating Integrals

• Approximating Derivatives.

5 - Differential Equations

• ODEs: Time-Stepping, Discretization

• PDEs: Poisson Equation, Heat Equation, Waves

• Techniques: Differencing, Finite Elements(time-permitting)

Julia编程

Julia官网

Julia：强大的现代编程语言

JuliaBox： 基于web的Julia编程, JuliaBox网址, 不需要安装

预备知识

• Math 51

• CS 106B