MTH/CS 364/464 Numerical Analysis (Spring 2019):
This course is an introduction to numerical algorithms as tools to providing solutions to common problems formulated in mathematics, science, and engineering. Focus is given to developing the basic understanding of the construction of numerical algorithms, their applicability, and their limitations. Topics include numerical techniques for solving equations, polynomial interpolation, numerical integration and differentiation, numerical solution of ordinary differential equations, error analysis and applications. Here is the course syllabus.
Some MATLAB resources:
 Chapter 2 of our textbook will help you to start.
 Here you can find video lectures "Using MATLAB for the First Time" from MIT OpenCourseWare.

Numerical Computing with MATLAB
is an archive of MATLAB programs of basic numerical algorithms,
it is good both for beginners and advanced MATLAB programmers.
Schedule:
Week of 
Class Topic  Remarks and Materials 
1/13  Introduction. Review of Calculus. Computer Arithmetic (Ch. 5). NOTE: We are meeting in SLC 409 on Friday. 
Brief intro notes Calculus Review Notes Intro to MATLAB mfile 
1/20  §4.1 Bisection, §4.2 Taylor's Theorem, §4.3 Newton's Method Monday 1/21  no class (MLK Day) 
Notes on Bisection Method Desmos examples: Newton's method with convergence Newton's method with divergence 1 Newton's method with divergence 2 
1/27  §4.3 Newton's Method (cont'd); §4.4 QuasiNewton methods; §4.5 Fixed point iteration 
Notes on Newton's Method Notes on QuasiNewton Methods Homework 1 due 01/28 (Monday) (click here to download a tex file) Homework 1 solutions 
2/3  §4.5 Fixed point iteration; §4.6 Fractals: Julia set and Mandelbrot set 
Notes on Fixed Point Iteration Notes on Fractals Desmos demo: fixed points of x+1/x Demo on Julia set and Mandelbrot set: click here 
2/10  §§5.35.5 Floating Point Representation  Notes on Floating Point Representation Homework 2 due 02/11 (Monday) (click here to download a tex file) Homework 2 solutions 
2/17  §§8.18.2 Lagrange Interpolation Forms Review for Exam I: study guide 
Notes on Lagrange Interpolation Forms 
2/24  §§8.18.2 Lagrange Interpolation Forms §§8.38.3.1 The Newton Interpolation Form Exam I on 2/24 (Monday) (see solutions!) 
Notes on the Newton Form 
3/3  No classes  Spring Recess  
3/10  §8.4 Error in Polynomial Interpolation  Notes on Interpolation Error Homework 3 due 03/11 (Monday) Homework 3 solutions 
3/17  §8.4 Interpolation at Chebyshev Points §8.5 Piecewise Interpolation (Hermite, Cubic Spline) 
Notes on Chebyshev Points Notes on Piecewise Interpolation Notes on Hermite Cubic Interpolation Notes on Cubic Splines 
3/24  §9.1 Numerical Differentiation §9.2 Richardson Extrapolation 
Notes on Numerical Differentiation Notes on Richardson Extrapolation Homework 4 due 03/25 (Monday) Download chebfun (MATLAB) Homework 4 solutions MATLAB Examples from Section 9.1: mfile 
3/31  §10.1 Numerical Integration §10.2 Formulas Based on Piecewise Interpolation 
Notes on Numerical Integration Notes on Formulas Based on Piecewise Interpolation Homework 5 due 4/3 (Wednesday) Homework 5 solutions 
4/7  §10.3 Gauss Quadrature §10.4 ClenshawCurtis Quadrature §10.5 Romberg Integration 
Notes on Gauss Quadrature Brief Notes on ClenshawCurtis Quadrature Notes on Romberg Integration 
4/14  No classes on Thursday and Friday  Holiday Recess
§10.7 Singularities §11.1 Existence and Uniqueness of Solutions of IVPs 
Notes on Existence and Uniqueness of Solutions of IVPs TakeHome Exam due 4/15/19 (see solutions) 
4/21  §11.2 OneStep Methods (Euler's Method, HigherOrder Methods, Midpoint Method, RungeKutta Methods, etc.) 
Notes on Euler's Method 
4/28  MTH 464 student presentation: Wednesday, 5/1. Final Exams begin on Thursday, 5/2 
Homework 6 due 5/1 (Wednesday) TakeHome Final Exam due 5/9/19, at 10 am 