MATH 270B: NUMERICAL APPROXIMATION AND NONLINEAR EQUATIONS

Instructor: Randolph E. Bank

Winter Quarter 2020

Syllabus

Lecture	Topics	Remarks
Week 1
Mon. 1/6	Basic Root Finding Methods (6.1-6.2)
Wed. 1/8	Fixed Point Iterations (6.3)
Fri. 1/10	Newton's Method (7.1-7.2)
Week 2
Mon. 1/13	Approximate Newton Methods (7.1-7.2)
Wed. 1/15	Approximate Newton Methods (7.1-7.2)	Approximate Newton Paper
Fri. 1/17	Quasi Newton Methods (7.1-7.2)
Week 3
Mon. 1/20		Martin Luther King Holiday
Wed. 1/22	Optimization with Equality Constraints (7.3)
Fri. 1/24	Optimization with Equality Constraints (7.3)
Week 4
Mon. 1/27	Optimization with Inequality Constraints (7.3)
Wed. 1/29	Optimization with Inequality Constraints (7.3)
Fri. 1/31	Polynomial Interpolation (8.1)
Week 5
Mon. 2/3	Divided Differences (8.2)
Wed. 2/5	Orthogonal Polynomials (10.1)
Fri. 2/7	Orthogonal Polynomials (10.1)
Week 6
Mon. 2/10	Best Max Norm Approximation (10.1)
Wed. 2/12	Piecewise Polynomial Approximation (8.4)
Fri. 2/14	Piecewise Polynomial Approximation (8.4)
Week 7
Mon. 2/17		Presidents Day Holiday
Wed. 2/19	Spline Approximation (8.7)
Fri. 2/21	Approximation in 2 and 3 Dimensions (8.6)
Week 8
Mon. 2/24	Approximation in 2 and 3 Dimensions (8.6)
Wed. 2/26	Numerical Integration (9.1-9.2)
Fri. 2/28	Newton-Cotes Formulae (9.3-9.4)
Week 9
Mon. 3/2	Gaussian Quadrature (10.2-10.5)
Wed. 3/4	Richardson Extrapolation (9.6)
Fri. 3/6	Romberg Integration (9.6)
Week 10
Mon. 3/9	Adaptive Quadrature (9.7)
Wed. 3/11	Multi-Dimensional Quadrature (9.9)
Fri. 3/13	Review
Finals Week
Wed. 3/18	Final Exam, 3:00-6:00