Math 311 - Introduction to Numerical Methods - Winter 2026
Class Information
Instructor: Tuan Pham
Class meetings: M, W, F: 12:00 - 12:50 PM at SCB 303
[Syllabus]
[Class schedule]
[Canvas]
[Textbook]
Office Hours
Monday, Wednesday, Friday: 2:00 - 3:30 PM at SCB 316, or by appointment
Assignments
Homework problems are to be turned in on paper in class.
Matlab codes are to be turned in on Canvas as pdf file. Instruction to access Matlab.
Quizzes are given in class. See the class schedule above.
Lecture notes
Review for Final (April 10)
Lecture 29 (April 3): Partial differential equations Worksheet
Lecture 28 (April 1): continue boundary value problems
Lecture 27 (March 30): Boundary value problems Worksheet
Lecture 26 (March 25): Linear system of equations Worksheet
Review for Midterm 2 (March 18)
Lecture 25 (March 16): continue numerical methods
Lecture 24 (March 13): Numerical methods for differential equations
Lecture 23 (March 11): Legendre polynomial Worksheet
Lecture 22 (March 9): continue Gauss-Legendre
Lecture 21 (March 6): Gauss-Legendre Quadrature Integration Rule
Lecture 20 (March 4): Simpson's Method for integral approximations
Lecture 19 (March 2): Error estimate for Trapezoid Rule Worksheet
Lecture 18 (Feb 27): Numerical Integration and the Trapezoid Rule
Lecture 17 (Feb 25): Newton's central divided difference
Lecture 16 (Feb 23): Approximation using Newton's forward divided difference
Lecture 15 (Feb 20): Numerical differentiation Worksheet
Lecture 14 (Feb 18): spline functions continuation
Lecture 13 (Feb 13): Spline interpolation; Worksheet
Review for Midterm I (Feb 9)
Lecture 12 (Feb 6): Newton's forward and backward divided difference
Lecture 11 (Feb 4): error estimate for polynomial interpolation
Lecture 10 (Feb 2): continue Newton's divided difference method
Lecture 9 (Jan 30): Newton's divided difference method; Worksheet
Lecture 8 (Jan 28): continue Lagrange polynomial interpolation
Lecture 7 (Jan 26): Lagrange polynomial interpolation; Worksheet
Lecture 6 (Jan 23): order of convergence
Lecture 5 (Jan 21): fixed point method; Worksheet
Lecture 4 (Jan 16): Newton-Raphson method; Worksheet
Lecture 3 (Jan 14): chord method (linear interpolation or false position method)
Lecture 2 (Jan 12): when to stop the bisection method; practice with Matlab
Lecture 1 (Jan 9): introduction, bisection method; Worksheet
Supplement materials and extra credit
Visualize interpolation polynomial: mlx, pdf
Find and plot the Lagrange interpolation polynomial: mlx, pdf
Find order of convergence numerically; Matlab code: mlx, pdf
Experiment with cobweb diagram
Links
Joseph F. Smith Library, Math Lab
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This page was last modified on Monday, Apr 13, 2026.
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