MATH 260 Introduction to Differential Equations & Linear Algebra (303)
Syllabus
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. Nonhomogeneous
differential equations. Methods of undetermined coefficients and variation of
parameters. Systems of differential equations.
Nonhomogeneous systems.
Corequisite:
MATH
201
Not
to be taken for credit with MATH
202
and MATH
280
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 

