Summer 2020 - MACM 316 D100

Numerical Analysis I (3)

Class Number: 1206

Delivery Method: In Person

Overview

  • 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
    Location: TBA

  • Instructor:

    Manfred Trummer
    1 778 782-3378
  • Prerequisites:

    MATH 152 or 155 or 158, and MATH 232 or 240, and computing experience.

Description

CALENDAR DESCRIPTION:

A presentation of the problems commonly arising in numerical analysis and scientific computing and the basic methods for their solutions. Quantitative.

COURSE DETAILS:

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.

Grading

  • Quizzes (10 Total, Equally Weighted) 18%
  • Computing Assignments (8 Total, Equally Weighted) 24%
  • I-Clicker Questions 3%
  • Midterm 15%
  • Final Exam 40%

NOTES:

*There will be optional computational office hours scheduled
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.
Students should be aware that they have certain rights to confidentiality concerning the return of course papers and the posting of marks. 
Please pay careful attention to the options discussed in class at the beginning of the semester.

REQUIREMENTS:

Passing grade requires passing exams and computing requirement.

Materials

MATERIALS + SUPPLIES:

I-Clicker+; 9781498603058
(Can be found at the SFU Bookstore)

REQUIRED READING:

Numerical Analysis
10/E
Burden and Faires
Nelson Canada
ISBN: 9781305253667

Registrar Notes:

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