Syllabus

Math 3301DS – Differential Equations

Fall 2010

 

Instructor:

Dr. Buxton Johnson

 

Office:

Room H204

 

Office Hours:

T Th 9:00 to 12:00 and W Th 4:00 to 5:00

 

Phone:

852-3168

 

E-mail:

johnsonb@kwc.edu

 

 

 

 

PantherNet:

My Courses > MATH 3301 – Differential Equations

 

 

 

 

Description:

Solutions, properties of solutions and applications for first order, first degree and for linear equations of arbitrary order; higher order and higher degree equations; simultaneous linear differential equations; series solutions.

Prerequisite: Math 2305 and 2306.

 

 

 

 

Knowledge:

 

Ψ Develop a fundamental understanding of the various methods utilized in the solution of differential equations.

 

 

 

 

Skills:

 

Ψ Develop appropriate solutions to first and higher order differential equations utilizing standard solution methods.

 

 

 

 

Values:

 

Ψ Develop a sense of responsibility;

Ψ Develop an honest work ethic.

 

 

 

 

Content:

Ψ First order differential equations;

Ψ Second order differential equations;

Ψ Systems of differential equations;

Ψ Series solutions of differential equations;

Ψ Laplace transforms.

 

 

 

 

Class Time:

Directed Study

 

 

 

 

Class Text:

Advanced Engineering Math – Kreyszig

 

 

 

 

Class Schedule:

Ch 1 – First-Order Differential Equations 1

Ch 1 – First-Order Differential Equations 2

Exam 1

Ch 2 – Linear Differential Equations of Second Order I

Ch 2 – Linear Differential Equations of Second Order II

Ch 2 – Linear Differential Equations of Second Order III

Exam 2

Ch 3 – Systems of Differential Equations

Ch 4 – Series Solutions of DE’s - Special Functions

Exam 3

Ch 5 – Laplace Transforms I

Ch 5 – Laplace Transforms II

Exam 4

 

 

 

 

Exams:

Four exams will be given during the semester.

 

 

 

 

Homework:

Homework will be assigned regularly to be due on a designated date.

 

 

 

 

Reading/Homework Assignments and Exams*

Chapter 1 – First-Order Differential Equations

  Sections 1.1,1.3,1.4

 

HW#1 – Problem Set 1.1: 1,2,5,7,13,15,19,22,25,26

       Problem Set 1.3: 2,9,13,19,23

       Problem Set 1.4: 2,5,10,12,13,14,18,19

Chapter 1 – First-Order Differential Equations

  Sections 1.5,1.6,1.7

 

HW#2 – Problem Set 1.5: 1,3,7,9,15,19,23,25,29,31,37

       Problem Set 1.6: 3,7,15,19,31,35,39,40,41,44

       Problem Set 1.7: 3,7,8,9,11,12,15,17,19

 Exam 1

Chapter 2 – Linear Differential Equations of Second Order

  Section 2.1,2.2,2.3,2.4

 

HW#3 – Problem Set 2.1: 6,9,11,17,19

       Problem Set 2.2: 5,7,11,13,18,23

       Problem Set 2.3: 1,5,6,7,13,14,15,19,21

       Problem Set 2.4: 1,3,5,8,12

Chapter 2 – Linear Differential Equations of Second Order

  Section 2.5,2.6,2.7,2.8

 

HW#4 – Problem Set 2.5: 1,3,5,8,9,11,13,15

       Problem Set 2.6: 2,3,4,7,14,15,19

       Problem Set 2.7: 1,3,5,7,9,15

       Problem Set 2.8: 1,3,5,7,9,11,13

Chapter 2 – Linear Differential Equations of Second Order

  Section 2.9,2.10,2.11,2.12

 

HW#5 – Problem Set 2.9: 1,3,9,11,15,17,19,21

       Problem Set 2.10: 3,7,11,13

       Problem Set 2.11: 1,3,7,9,15,17

       Problem Set 2.12: 1,3,5,7,11,12,13

Exam 2

Chapter 3 – Systems of Differential Equations

  Sections 3.0,3.1,3.2,3.3,3.6

 

HW#6 – Problem Set 3.1: 1,5,9,11

       Problem Set 3.3: 1,5,11,15,16,17

       Problem Set 3.6: 2,3,5,9,13,15,17,18,19

Chapter 4 – Series Solutions of DE’s - Special Functions 

  Section 4.1,4.2,4.3

 

HW#7 – Problem Set 4.1: 1,3,7,9,11,12

       Problem Set 4.2: 1,3,5,13,15,17,19,21

       Problem Set 4.3: 1,2,3,4,5,7,9,11,12

Exam 3

Chapter 5 – Laplace Transforms

  Section 5.1,5.2,5.4

 

HW#8 – Problem Set 5.1: 2,6,8,17,18,21,24,33,34,37,39

       Problem Set 5.2: 1,2,3,6,7,8

       Problem Set 5.4: 1,2,6,7,12,13

Chapter 5 – Laplace Transforms

  Section 5.5,5.6,5.7,5.8,5.9

 

HW#9 – Problem Set 5.5: 5,7,10,11,19,20

       Problem Set 5.6: 1,2,3,4,5,6

       Problem Set 5.7: 1,2,6,7,16,18,19

Exam 4

 

 

 

 

Grading:

Final grades will be based on the following:

 

       Homework (9): 180 points

          Exams (4): 480 points

     Total Possible: 660 points

 

Letter grades will be assigned as follows:

 

     A - 90% to 100%

     B - 80% to 89%

     C - 70% to 79%

     D - 60% to 69%

     F - less than 60%