Fall 2019 - MACM 316 D100
Numerical Analysis I (3)
Class Number: 4301
Delivery Method: In Person
Course Times + Location:
Mo, We, Fr 12:30 PM – 1:20 PM
WMC 3520, Burnaby
Exam Times + Location:
Dec 8, 2019
12:00 PM – 3:00 PM
SSCB 9201, Burnaby
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.
- 10 Quizzes (Grades taken from best 9 of 10) 20%
- 8 Computing Assignments (Grades taken from best 7 of 8) 25%
- Midterm 15%
- Final 40%
Mondays from 2:30 PM to 5:30 PM and
Fridays from 2:30 PM to 5:30 PM
in WMC 2820/2810 [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.
Burden and Faires
SFU’s Academic Integrity web site http://www.sfu.ca/students/academicintegrity.html is filled with information on what is meant by academic dishonesty, where you can find resources to help with your studies and the consequences of cheating. Check out the site for more information and videos that help explain the issues in plain English.
Each student is responsible for his or her conduct as it affects the University community. Academic dishonesty, in whatever form, is ultimately destructive of the values of the University. Furthermore, it is unfair and discouraging to the majority of students who pursue their studies honestly. Scholarly integrity is required of all members of the University. http://www.sfu.ca/policies/gazette/student/s10-01.html
ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS