Week

Course Content

Resource

1

Introductory basic concepts

1 Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, AddisonWesley Publ., 6th edition, 2012. 2 Differential equations, S. L. Ross, JohnWiley P.,1974. 3Edwards, C., and D. Penney. Elementary Differential Equations with Boundary Value Problems, Prentice Hall, 2003

2

Direction field and phase line

1 Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, AddisonWesley Publ., 6th edition, 2012. 2 Differential equations, S. L. Ross, JohnWiley P.,1974. 3Edwards, C., and D. Penney. Elementary Differential Equations with Boundary Value Problems, Prentice Hall, 2003

3

Existence and uniqueness of differential equations.

1 Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, AddisonWesley Publ., 6th edition, 2012. 2 Differential equations, S. L. Ross, JohnWiley P.,1974. 3Edwards, C., and D. Penney. Elementary Differential Equations with Boundary Value Problems, Prentice Hall, 2003

4

First order differential equations and seperable equations

1 Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, AddisonWesley Publ., 6th edition, 2012. 2 Differential equations, S. L. Ross, JohnWiley P.,1974. 3Edwards, C., and D. Penney. Elementary Differential Equations with Boundary Value Problems, Prentice Hall, 2003

5

Linear and Bernoulli equations

1 Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, AddisonWesley Publ., 6th edition, 2012. 2 Differential equations, S. L. Ross, JohnWiley P.,1974. 3Edwards, C., and D. Penney. Elementary Differential Equations with Boundary Value Problems, Prentice Hall, 2003

6

Riccati equations

1 Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, AddisonWesley Publ., 6th edition, 2012. 2 Differential equations, S. L. Ross, JohnWiley P.,1974. 3Edwards, C., and D. Penney. Elementary Differential Equations with Boundary Value Problems, Prentice Hall, 2003

7

First order homogeneous equations

1 Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, AddisonWesley Publ., 6th edition, 2012. 2 Differential equations, S. L. Ross, JohnWiley P.,1974. 3Edwards, C., and D. Penney. Elementary Differential Equations with Boundary Value Problems, Prentice Hall, 2003

8

MIDTERM


9

Exact equations and integrating factor

1 Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, AddisonWesley Publ., 6th edition, 2012. 2 Differential equations, S. L. Ross, JohnWiley P.,1974. 3Edwards, C., and D. Penney. Elementary Differential Equations with Boundary Value Problems, Prentice Hall, 2003

10

Applications of first order equations in various fields

1 Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, AddisonWesley Publ., 6th edition, 2012. 2 Differential equations, S. L. Ross, JohnWiley P.,1974. 3Edwards, C., and D. Penney. Elementary Differential Equations with Boundary Value Problems, Prentice Hall, 2003

11

Second order linear homogeneous equations

1 Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, AddisonWesley Publ., 6th edition, 2012. 2 Differential equations, S. L. Ross, JohnWiley P.,1974. 3Edwards, C., and D. Penney. Elementary Differential Equations with Boundary Value Problems, Prentice Hall, 2003

12

Higher order homogeneous equations

1 Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, AddisonWesley Publ., 6th edition, 2012. 2 Differential equations, S. L. Ross, JohnWiley P.,1974. 3Edwards, C., and D. Penney. Elementary Differential Equations with Boundary Value Problems, Prentice Hall, 2003

13

Higher order nonhomogeneous equations

1 Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, AddisonWesley Publ., 6th edition, 2012. 2 Differential equations, S. L. Ross, JohnWiley P.,1974. 3Edwards, C., and D. Penney. Elementary Differential Equations with Boundary Value Problems, Prentice Hall, 2003

14

Laplace transformation and functions of exponentialorder

1 Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, AddisonWesley Publ., 6th edition, 2012. 2 Differential equations, S. L. Ross, JohnWiley P.,1974. 3Edwards, C., and D. Penney. Elementary Differential Equations with Boundary Value Problems, Prentice Hall, 2003

15

Inverse Laplace transform and convolution theoremequations

1 Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, AddisonWesley Publ., 6th edition, 2012. 2 Differential equations, S. L. Ross, JohnWiley P.,1974. 3Edwards, C., and D. Penney. Elementary Differential Equations with Boundary Value Problems, Prentice Hall, 2003
