Summer 2020 - MACM 316 D100
Numerical Analysis I (3)
Class Number: 1206
Delivery Method: In Person
Course Times + Location:
Mo, We, Fr 10:30 AM – 11:20 AM
AQ 3181, Burnaby
Exam Times + Location:
Aug 13, 2020
3:30 PM – 6:30 PM
1 778 782-3378
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; eigenvalue problems.
Interpolation and Approximation [2 weeks]
- Interpolating polynomial, Lagrange form, error formula; spline interpolation; trigonometric interpolation and Fourier Series.
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; convergence, stability; stiff equations.
- Quizzes (10 Total, Equally Weighted) 18%
- Computing Assignments (8 Total, Equally Weighted) 24%
- I-Clicker Questions 3%
- Midterm 15%
- Final Exam 40%
Mondays from 2:30 PM to 5:30 PM and
Fridays from 2:30 PM to 5:30 PM
in WMC 2820 [math west]. Please plan accordingly.
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 requirement.
MATERIALS + SUPPLIES:
(Can be found at the SFU Bookstore)
Burden and Faires
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