Fall 2022 - MACM 316 D100
Numerical Analysis I (3)
Class Number: 4083
Delivery Method: In Person
Course Times + Location:
Sep 7 – Dec 6, 2022: Mon, Wed, Fri, 12:30–1:20 p.m.
Exam Times + Location:
Dec 8, 2022
Thu, 8:30–11:30 a.m.
1 778 782-5969
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%
- Quizzes 10%
- Midterm Exam 25%
- Final Exam 40%
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.
This course is delivered in person, on campus. Should public health guidelines recommend limits on in person gatherings, this course may include virtual meetings. As such, all students are recommended to have access to strong and reliable internet, the ability to scan documents (a phone app is acceptable) and access to a webcam and microphone (embedded in a computer is sufficient).
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.
ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS
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