MATH 351 — Numerical Methods
BSc BSc Computer Engineering · Kwame Nkrumah University of Science and Technology
OUTLINE Methods of solving system of linear equations: Direct Methods: Gaussian Elimination with/without Pivoting, Factorization Methods (LU Decomposition with/without Pivoting, Choleski Method). Iterative Methods: Jacobi Method, Gauss Seidel Method and SuccessiveOver Relaxation (SOR) Methods. Methods of Solving System of Non-Linear Equations: Newton's Method, Generalized Newton's Method and Continuation Method. Methods of Finding Eigenvalues and Eigenvectors: Characteristic Equation Approach, Power Method, Inverse Power Method and Gerchgorim's Circle Theorem. Numerical Integration: trapezoidal method, Simpson's method and Gaussian Quadrature. Interpolation Methods: Lagrange Approximation, Error Terms and Bounds, Newtor Polynomials, Polynomial Approximation, Nodes and Centres; Forward, Backward and Divided Differences. Numerical Solution of Ordinary Differential Equations: Finite Difference Methods single step methods, Multi-Step Methods and Predictor-Corrector Methods. COURSE OBJECTIVE(S) The objective of the course is to provide the fundamental understanding of numerical methods and their analysis for solving a range of engineering models. LEARNING OUTCOMES On completion of the Math 351 course the students should be able to: Write numerical solutions to systems of linear and non-linear equations. Effectively implement the methods for find eigen values and eigen vectors. iii. Demonstrate the ability to numerically integrate and solve ordinary differential equations. MODE OF DELIVERY The mode of delivery of this course will be blended i.e., in person and online REQUIRED TEXTBOOKS/READINGS Richard L. Burden and J. Douglas Faires, Numerical Analysis, 8th Edition G.H. Golub and C. Van Loan Matrix Computations. Johns Hopkins University Press 1996 A Iserles A first course in the Numerical Analysis of Differential Equations. CUP 2009 E. Suli and D.F. Meyers An introduction to numerical analysis. CUP 2003 A. Ralston and P. Rabinowitz A first course in numerical analysis. Dover 2001
- Credits
- 2
- Level
- Year Three
- Semester
- Semester One
Other courses on this programme
- COE 381 — Microprocessors
- COE 382 — Digital Computer Design
- EE 371 — Linear Electronic Circuits
- EE 387 — Classical Control Systems
- MATH 353 — Probability and Statistics 1
- CE 155 — Environmental Studies
- COE 158 — Introduction to Information Technology (IT)
- COE 251 — C Programming
- COE 475 — Computer Networking
- CSM 157 — Accounts I
- CSM 158 — Accounts II
- ECON 151 — Introductory Economics I
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