MATH 354
MAST 334
Fall 2024
Topics
- Review of Calculus
- Round-off Errors and Computer Arithmetic
- Algorithms and Convergence
- The Bisection Method
- Fixed-point Iteration
- Newton’s Method and Secant Method
- Error Analysis for Iterative Methods
- Accelerating Convergence (Aitken's and Steffensen’s Methods)
- Interpolation and Lagrange Polynomial
- Cubic Spline interpolation
- Discrete Least Squares Approximation
- Orthogonal Polynomials and Least Squares Approximation
- Chebyshev Polynomials and Economization of Power Series
- Trigonometric Polynomial Approximation
- Fast Fourier Transform
- Numerical Differentiation
- Richardson’s Extrapolation
- Elements of Numerical Integration
- Composite Numerical Integration
- Gaussian Quadrature Formulas
- The Elementary Theory of Initial-Value Problems
- Forward Euler’s method
- Backward Euler’s method
Readings
- Listed textbook (requirement not stated): Richard L. Burden, J. Douglas Faires and Annette M. Burden. Numerical Analysis, 10th edition. Cengage, 2016.
- Listed textbook (requirement not stated): Q. Kong, T. Siauw and A. Bayen. Python Programming and Numerical Methods: A Guide for Engineers and Scientists, 1st edition. Academic Press, 2020. https://pythonnumericalmethods.berkeley.edu/
Fall 2024 · MATH 354
Readings
- Richard L. Burden, J. Douglas Faires, and Annette M. Burden, Numerical Analysis, 10th edition, Cengage, 2016; 9th edition also accepted.
- Q. Kong, T. Siauw, and A. Bayen, Python Programming and Numerical Methods: A Guide for Engineers and Scientists, 1st edition, Academic Press, 2020.
Fall 2023 · MATH 354
Readings
- Richard L. Burden, J. Douglas Faires, and Annette M. Burden, Numerical Analysis, 10th edition, Cengage, 2016; 9th edition also accepted.
- Q. Kong, T. Siauw, and A. Bayen, Python Programming and Numerical Methods: A Guide for Engineers and Scientists, 1st edition, Academic Press, 2020.
Fall 2022
Readings
- Richard L. Burden, J. Douglas Faires, and Annette M. Burden, Numerical Analysis, 10th edition, Cengage, 2016; 9th edition also accepted.
Fall 2022 · MATH 354
Readings
- Richard L. Burden, J. Douglas Faires, and Annette M. Burden, Numerical Analysis, 10th edition, Cengage, 2016; 9th edition also accepted.
Fall 2021
Readings
- R. L. Burden and J. D. Faires, Numerical Analysis, 9th edition, Brooks/Cole, Engage Learning, 2011 (publisher wording as printed).
Fall 2021 · MATH 354
Readings
- R. L. Burden and J. D. Faires, Numerical Analysis, 9th edition, Brooks/Cole, Engage Learning, 2011 (publisher wording as printed).
Sources
- Syllabus or course outline ↗Fall 2024
- Historical course outline ↗Fall 2024
- Historical course outline ↗Fall 2023
- Historical course outline ↗Fall 2022
- Historical course outline ↗Fall 2022
- Historical course outline ↗Fall 2021
- Historical course outline ↗Fall 2021
- Fall 2024 outline. Course header explicitly lists MAST 334, MATH 354. The 9th edition of Numerical Analysis is also appropriate.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.