King Fahd University of Petroleum & Minerals

Department of Mathematical Sciences

MATH 260 - HomePage

MATH  260 Introduction to Differential Equations & Linear Algebra   (3-0-3)

Syllabus

## Catalog Description

Systems of linear equations. Rank of matrices. Eigenvalues and eigenvectors. Vector spaces, subspaces, bases, dimensions. Invertible matrices. Similar matrices. Diagonalizable matrices. Block diagonal and Jordan forms. First order differential equations: separable and exact. The homogeneous differential equations with constant coefficients.  Wronskian.  Non-homogeneous differential equations. Methods of undetermined coefficients and variation of parameters. Systems of differential equations.  Non-homogeneous systems.

Corequisite:

Not to be taken for credit with MATH 202 and MATH 280

Textbook: Linear Algebra and Differential Equations Using MATLAB by Golubitsky & Dellnitz, (1998)

Objectives

This course provides an introduction to elementary differential equations and Linear Algebra to the students of Computer Science, Computer and Systems Engineering and Earth Sciences

 W Date Sec HW(Hand Ex) HW(Computer Ex) Recom. 1 1.1 1.2 1.3 1.4 8, 9, 10 1, 6 2, 10, 18 4, 8, 10 20 20 2 2.1 2.2 2.3 2.4 2, 5(b) 1 2, 12, 14 2 8, 12 10 23, 24 5, 7, 11 3 3.1 3.2 3.3 7, 10 12 6, 8, 10 14, 18 19 2, 4 4 3.4 3.5 3.6 2, 3 4, 10 1, 3 14 8 5 3.6 3.7 3.8 4.1 1, 3 4, 6, 9 4, 8 2, 6, 10 8 12 18 12, 22 6 4.2 4.4 4.7 4, 10, 12 6, 10 4, 5 19 16 7 4.8 4.9 5.1 4, 8 4 3, 4 15 7, 8 6, 10, 16, 20 8 5.2 2, 8, 12, 14 8 5.3 5.4 5.5 1, 5, 8 4, 6, 10 1, 2, 3 4 7 4 9 5.6 8.1 8.2 4, 5, 9, 2, 8, 14 2, 5, 12 6, 11 13 10 10 13.1 13.2 13.3 2 2 2, 6 11, 13 6, 7 9 3 11 13.4 14.1 14.3 2, 6, 10, 12 2, 7 16, 20 10,12 4, 6, 7 12 14.4 15.1 15.2 4, 8 4, 6 10, 14 14, 16 10 13 15.3 15.4 17.1 4, 8 4, 10, 13 4, 6, 10 15 14 17.2 17.3 17.4 2, 4 4, 8 2 15 17.5 17.6 2, 4, 6 4, 6 9 1, 3, 5 Final Exams