Summer 2023 - MACM 316 D100
Numerical Analysis I (3)
Class Number: 2174
Delivery Method: In Person
Course Times + Location:
May 8 – Aug 4, 2023: Mon, Wed, Fri, 10:30–11:20 a.m.
Exam Times + Location:
Aug 9, 2023
Wed, 12:00–3:00 p.m.
Prerequisites:MATH 152 or 155 or 158, and MATH 232 or 240, and computing experience.
A presentation of the problems commonly arising in numerical analysis and scientific computing and the basic methods for their solutions. Quantitative.
Number systems and errors [1.5 weeks]
- Representation of numbers; error propagation and error estimation.
Solution of nonlinear equations [2 weeks]
- Bisection, secant method, Newton's method; fixed-point iteration and acceleration.
Systems of linear equations [3 weeks]
- Elimination method - factorization, pivoting, inverse calculation; iterative methods.
- Interpolating polynomial, Lagrange form, error formula; spline interpolation; Bezier curves.
Differentiation and Integration [1.5 weeks]
- Numerical integration - Newton-Cotes formulas, composite rules, Gaussian quadrature.
Initial Value Problems [2 weeks]
- Euler's method, Taylor and Runge-Kutta methods.
- Computing Assignments 25%
- Midterm 25%
- Final 50%
THE INSTRUCTOR RESERVES THE RIGHT TO CHANGE ANY OF THE ABOVE INFORMATION.
Please pay careful attention to the options discussed in class at the beginning of the semester.
Passing grade requires passing exams and computing requirements.
Burden and Faires
REQUIRED READING NOTES:
Your personalized Course Material list, including digital and physical textbooks, are available through the SFU Bookstore website by simply entering your Computing ID at: shop.sfu.ca/course-materials/my-personalized-course-materials.
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