Spring 2022 - MACM 316 D100
Numerical Analysis I (3)
Class Number: 6892
Delivery Method: In Person
Course Times + Location:
Mo, We 12:30 PM – 1:20 PM
SSCB 9201, Burnaby
Fr 12:30 PM – 1:20 PM
SSCC 9001, Burnaby
Exam Times + Location:
Apr 26, 2022
3:30 PM – 6:30 PM
SSCC 9001, Burnaby
1 778 782-4452
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
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TEACHING AT SFU IN SPRING 2022
Teaching at SFU in spring 2022 will involve primarily in-person instruction, with safety plans in place. Some courses will still be offered through remote methods, and if so, this will be clearly identified in the schedule of classes. You will also know at enrollment whether remote course components will be “live” (synchronous) or at your own pace (asynchronous).
Enrolling in a course acknowledges that you are able to attend in whatever format is required. You should not enroll in a course that is in-person if you are not able to return to campus, and should be aware that remote study may entail different modes of learning, interaction with your instructor, and ways of getting feedback on your work than may be the case for in-person classes.
Students with hidden or visible disabilities who may need class or exam accommodations, including in the context of remote learning, are advised to register with the SFU Centre for Accessible Learning (firstname.lastname@example.org or 778-782-3112) as early as possible in order to prepare for the spring 2022 term.