Syllabus

Syllabus (Google doc)

Course Calendar

Course Calendar (Google sheet)

Notes/Slides

The slides and board work files are updated by chapter, not by date. Click on any date that covers each chapter.

Week 0 09/22
Ch. 3 Solution of nonlinear equations - Bisection method Slides, Board work
Week 1 09/27 09/29
Ch. 3 Solution of nonlinear equations - Newton’s method Slides, Board work Ch. 3 Solution of nonlinear equations - Secant method Slides, Board work
Week 2 10/04 10/06
Ch. 3 Solution of nonlinear equations - Fixed point iteration Slides, Board work Ch. 6 Approximation - Vandermonde, Newton form Slides, Board work
Week 3 10/11 10/13
Ch. 6 Approximation - Lagrange form, Runge’s phenomenon Slides, Board work Ch. 6 Approximation - Chebyshev polynomials Slides, Board work
Week 4 10/18 10/20
Ch. 6 Approximation - Chebychev polynomials, Divided differences Slides, Board work Ch. 6 Approximation - Divided differences, Computational HW1 review Slides, Board work
Week 5 10/25 10/27
Midterm (Ch. 3, 6) Ch. 7 Numerical differentiation and integration - Numerical differentication Slides, Board work
Week 6 11/01 11/3
Ch. 7 Numerical differentiation and integration - Newton-Cotes Slides, Board work Ch. 7 Numerical differentiation and integration - Newton-Cotes, Gaussian Quadrature Slides, Board work
Week 7 11/08 11/10
Ch. 7 Numerical differentiation and integration - Gaussian quadrature Slides, Board work Ch. 8 Numerical methods for ODE - Existence and uniqueness Slides, Board work
Week 8 11/15 11/17
Ch. 8 Numerical methods for ODE - Existence and uniqueness, Taylor-series method Slides, Board work Ch. 8 Numerical methods for ODE - Runge-Kutta method Slides, Board work
Week 9 11/22 11/24
Ch. 8 Numerical methods for ODE - Linear multistep method Slides, Board work Thanksgiving
Week 10 11/29 12/01
Ch. 8 Numerical methods for ODE - Convergence of linear multistep method Slides, Board work Ch. 8 Numerical methods for ODE - Convergence of linear multistep method Slides, Board work