Outline Numerical Methods and Computations
Outline Numerical Methods and Computations
Outline Numerical Methods and Computations
COLLEGE OF SCIENCE
FACULTY OF PHYSICAL AND COMPUTATIONAL SCIENCES
DEPARTMENT OF MATHEMATICS
CSM 258: NUMERICAL METHODS AND COMPUTATIONS
Course Objective
This is an undergraduate course for computer science students. Numerical method is the
study of algorithms that use numerical approximation for solving mathematical problems
which often has no analytical solution. These computer algorithms are required by computer
scientist, physicists, engineers, and mathematicians to explore and solve problems relating
to complex systems. This course seeks to help students develop the basic understanding of
numerical algorithms and skills to implement algorithms to solve mathematical problems on
the computer. The course aims to help students develop and apply problem solving skills
through the introduction of these numerical schemes; given students an opportunity to develop
and present an independent project.
Course Outline
1. Introduction to Numerical Methods: Definition, Significant digits, Accuracy and
Precision, Rounding and Chopping, Absolute and Relative Errors, Review of Calculus,
Taylor and Maclaurin Series.
1
3. Methods for Solving Linear System of Equations by Direct Methods.
5. Eigenvalue Problems: Power Method, Inverse Power Method, Power Method with Shift.
2
11. Numerical Solutions of Ordinary Differential Equations: Single-Step Methods
12. Numerical Solutions of Ordinary Differential Equations: Multi step methods and
Predictor-Corrector Methods
Assessment
There will be assignments, a mid-semester examination, and an end of semester examination.
Assignments and mid semester form 30% of students total scores while end semester
examination form 70%.
Resources
1. Gabriel Obed Fosu, Beamer Presentation Slides on Numerical Methods and Computation,
2022 Edition.
2. Iyengar S. R. K. and Jain R. K., Numerical Methods, New Age International, 2009.
3. Timothy Sauer, Numerical Analysis, 3rd Edition, Pearson Education, Inc, 2018.
4. Ward Cheney and David Kincaid, Numerical Mathematics and Computing, 6th edition,
Brooks/Cole, 2008.
5. Douglas J. Faires and Richard L. Burden, Numerical Methods, Brooks/Cole, 3rd edition,
2002.
6. Joe E. Hoffman, Numerical Methods for Engineers and Scientist, 2nd edition, Marcel
Dekker, Inc., 2001.