TKUC LogoTHE KING'S UNIVERSITY

COURSE NUMBER: MATH 420
COURSE TITLE: Numerical Analysis
NAME OF INSTRUCTOR: Dr Amy Feaver
CREDIT WEIGHT AND WEEKLY TIME DISTRIBUTION: credits 3(hrs lect 3 - hrs sem 0 - hrs lab 3)
COURSE DESCRIPTION: An introduction to numerical computation. Topics include computer arithmetic, root approximation, interpolation, numerical integration, applications to differential equations, and error analysis.

Same as CMPT 420.

Prerequisites: CMPT 275, MATH 205; Corequisite: MATH 221
REQUIRED TEXTS: NUMERICAL METHODS WITH APPLICATIONS by Autar Kaw et.al.
MARK DISTRIBUTION IN PERCENT:
Quizzes 25%
Labs 20%
Midterm 25%
Final Exam 30%
100%
COURSE OBJECTIVES:
  • Know how to solve equations “numerically” to desired precision.
  • Know how to interpolate within a data set, and fit curves to data.
  • Know how to numerically integrate or differentiate a function or a set of data.
  • Know how to work with differential equations and initial-value problems (how a system evolves from some starting point).
  • Understand some of the main challenges to computer simulation.
  • Understand the limitations of computer arithmetic, and how to work around them.
  • Estimate the error introduced by these numerical approximations.
COURSE OUTLINE:
  • Programming in Python and the Sage mathematics software
  • Error analysis
  • Root finding methods (bisection, secant, Newton's)
  • Interpolation (Lagrange polynomials and divided differences)
  • Numerical integration and differentiation
  • Numerically solving initial value problems
  • Basic linear algebra
  • Solving linear systems of equations
LAB OUTLINE:
  • Practice applying the methods learned in class.
  • Experience with the possibilities and complications of computer analysis.
  • Practice evaluating software problems and finding solutions.
  • Improve programming skills.


Required texts, assignments, and grade distributions may vary from one offering of this course to the next. Please consult the course instructor for up to date details.

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