Typical Differential Equations (MAP2302) schedule
Official PBCC is below this one

Zill, Dennis, A First Course in Differential Equations with Modeling Applications,
8th Edition, Pacific Grove, CA  Brooks/Cole Publishing Company -

1 1.1 Definitions and Terminology p10-12. 1-8, 11-12, 23, 27, 28, 33
2 1.2 Initial Value Problems p16-19. 1, 7, 11, 17-19, 22, 25-28, 30, 31
3 1.3 Mathematical Models p28. 1, 5, 7, 9, 13, 15, 18, 19, 21, 23, 25
4 2.2 Separable Variables p54-56. 1, 3, 5, 7, 10, 12-14, 21, 24, 27
5 2.3 Linear Equations p65. 1, 3, 5-7, 11, 18, 20, 25, 26
6 2.4 Exact Equations p73. 1-3, 5-7, 9, 12, 21, 23
7 2.5 Solutions by Substitutions p78. 1, 5, 7, 11, 12, 15, 17, 19, 21
8   Review  
9   TEST  
10 3.1 First Order Linear Equations p98. 1-6, 10
11 4.1 Higher Order Linear Equations p137-138. 1, 3, 5, 9, 10, 15, 17, 19, 21, 23, 27, 30, 31
12

4.1

 Higher Order Linear Equations  
13 4.2 Reduction of Order p141-142. 1, 3, 5-7, 9, 15
14 4.3 Homogeneous Linear Eq. with constant Coefficients p147-148. 1, 2, 12, 18, 23, 27, 28, 33, 36, 37
15 4.5 Undetermined Coefficients - Annihilator Approach p166-167. 1, 5, 7, 11, 12, 13-25, 26, 27-35all,
16 4.5 Undetermined Coefficients - Annihilator Approach 37-41all, 43, 47, 55, 61, 65, 67, 68
17 4.6 Variation of Parameters p172. 1, 3, 6, 11, 12, 13, 17, 19, 20
18 4.7 Cauchy-Euler Equation p178. 1, 3, 6, 9, 17, 18, 21, 25, 27, 35, 37
19   Review  
20   TEST  
21 5.1 Spring-Mass Systems p207-211. 1, 3-5, 8-10, 17-21, 26, 29, 31, 45-49, 53
22 5.1 Spring-Mass Systems p207-211. 1, 3-5, 8-10, 17-21, 26, 29, 31, 45-49, 53
23 7.1 Definition of Laplace Transform p283. 1, 3, 13, 19, 21, 27, 31, 35-37
24 7.2 Inverse Transforms and Transforms of Derivatives p292. 1, 3, 6, 9, 11, 13, 15, 19, 22, 23, 31, 35, 39
25 7.3 Translation Theorems p301-303. 1, 3, 7, 9, 11, 15, 19, 21, 24, 27, 37, 39-41
26 7.4 Additional Operational Properties p312-313. 1-7, 19-29
27   Review  
28   TEST  
29   Review  
30   FINAL  
   

Optional

  
 

4.4

Undermined Coefficients
Superposition Approach

  
 

5.2

Boundary Value Problems

 
 

7.6

Systems of Linear Equations

  
 

8.1
8.2

Systems of Equations - Preliminary Theory;
Homogeneous Linear Systems with
Constant Coefficients

  
 

8.3
8.4

Variation of Parameters
Matrix Exponential

  
       

 


 

 

 

 

Official PBCC

1

1.1

Definitions and Terminology

2

1.2-1.3

Initial Value Problems; Mathematical Models

3

2.2

Separable Variables

4

2.3

Linear Equations

5

2.4

Exact Equations

6

2.5

Solutions by Substitutions

7

 

Test #1

8

3.1

First Order Linear Equations – Linear Models

9

4.1

Higher Order Linear Equations:  Basic Theory

10

4.2

Reduction of Order

11

4.3

Homogeneous Linear Equations with Constant Coefficients            

12

 

Test #2

13

4.4

Undermined Coefficients-Superposition Approach (Optional)

14

4.5

Undetermined Coefficient-Annihilator Approach

15

4.6

Variation of Parameters

16

4.7

Cauchy-Euler Equation

17

 

Test #3

18

5.1

Spring Mass Systems-Undamped, Damped, Driven Motion

19

5.1

Spring Mass Systems-Undamped, Damped, Driven Motion

20

5.2

Boundary Value Problems (Optional)

21

6.1-6.2

Solutions about Ordinary Points & Singular Points

22

 

Test #4

23

7.1

Definition of Laplace Transform

24

7.2

Inverse Transform & Transforms of Derivatives

25

7.3

Operational Properties – I

26

7.4

Operational Properties – II

27

7.6

Systems of Linear Equations (Optional)

28

 

Test #5

29

8.1-8.2

Systems of Equations - Preliminary Theory; Homogeneous Linear Systems with Constant Coefficients (Optional)

30

8.3-8.4

Variation of Parameters; Matrix Exponential (Optional)

 

 

Final Exam

 

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