MATH-204 Differential Equations and Laplace Transforms
Dr. Kevin G. TeBeest
Winter 2020 








  
      
      
         Course Policy

  
  
      
      
         Stuff You Must Know before MATH-204
  





  
      
      
         Dr. TeBeest's Schedule
  
            
      
         
         Developing Good Study Habits                            
  





  
      
      
         Mathematical Writing Style

  
  
      
      Maple
         Tutorials
  





  
      
      
         Course Syllabus
  
  
      
      
         MATH-204 Study Journal

  






   
   

     
     ANNOUNCEMENTS
     

     YOU ARE EXPECTED TO CHECK THE ANNOUNCEMENTS DAILY.
     
   






    


  1.  Click here for
Practice Problems to help
you prepare for the final exam.   
(This is NOT a sample final exam.)


    





    








  2.  FINAL EXAM:  
    
     Saturday, March 28 (Week 11)
    
     10:00 A.M. to 12:00 noon
    
     On WebAssign
    
You will NOT have to solve any problems from Section 2.5 (homogeneous ODEs and
Bernoulli ODEs).
    
Here are some practice problems.

    









  3.  I strongly advise you to bring pens or highlighters of different
colors when taking notes. It will help you significantly in your studies and
learning.

    


  4.  
REMINDER:   You should have all electronic devices
including phones completely
powered off before coming to class, except for those students who
have my permission. Recording and photography devices are strictly
prohibited. Violations may result in academic discipline and even removal
from the course.

    


  5.  You should come prepared for each class by reviewing the previous
day's lecture notes BEFORE class.

    




  6.  If you miss a class, you should obtain copies of the lecture notes from a
classmate.

    


  7. I strongly encourage you to study with "study buddies", attend SI
Wednesday evenings, and seek help from the tutors. Kettering provides AMPLE
resources to help you succeed in MATH-204.

    




















  8.  How much should a college
student study?

    


  9.  How Sufficient Sleep Enhances Learning and
Comprehension.

    
















 



















ASSIGNMENTS
















    

The date indicates the day the assignment was posted here on the course
web site. It is NOT a due date.

    

* * * * Things you must know coming into MATH-204.

    


  1.  Review – Partial Fraction Decomposition.
  
January 13

    


  2.  Review Problems.
  
January 13

    






  3.  Section 1.1 – Terminologies.
  
January 14
  Begun on Monday.

    




  4.  Section 1.2 –
Initial Value Problems / Existence-Uniqueness of Solutions.
  
January 17

    


We must use Partial Fraction Decomposition in Section 2.2 and again later
in the course. We will not review that since it was covered thoroughly in
Calc-II. You should review that. See any calculus book or even visit
YouTube for demonstrations. Also see Assignment 1.


    


  5.  Section 2.2 – Separable Variables.
  
January 23

    


  6.  Section 2.3 –
1st Order Linear ODEs: Integrating Factors.
  
January 24

    






  7. 
Section 2.5 – Part I: Bernoulli
Equations.
  
January 27
   Requires mastery of Integrating Factors (Sec. 2.3)

    


  8.  Section 2.5 – Part II:
Homogeneous ODEs.  
January 28

    


  9.  Section 2.4 – Exact ODEs.
  
January 31

    






  10.  Section 4.1 – Higher Order
Linear ODEs: Concepts.  
February 6

    


  11.  Section 4.3 – Homogeneous, Linear
ODEs with Constant Coefficients.  
February 7

    




  12.  Work through this Help Sheet for using
Maple
to solve differential equations.  
February 12

    






  13.  Work these
practice problems from Section 4.3.
  
August 7

    


  14.  Section 4.4 –  
Nonhomogeneous Linear ODEs:
Undetermined Coefficients.  
February 13

    


  15.  Section 4.6 – Nonhomogeneous Linear ODEs:
     Variation of Parameters.  
February 18

    




  16.  Plot these common
examples and use this to plot the solutions in the homework problems.
  
August 19

    


  17.  Section 5.1.1 –
Simple Harmonic Motion (Free, Undamped Motion).  (Covered
Week 6)  
February 24

    




  18.  Section 5.1.2 – 
Free (unforced) Damped Motion.
  
February 28

    




  19.  Section 5.1.3 – Driven (Forced)
Motion.  
March 3
    Started Tuesday.

    

ALSO READ SECTION 5.1.4.

    





Memorize identities 10 – 12 from this list of
trig identities.
  
March 9

    



We will have frequent need of partial fraction decomposition again in Chapter 7.
Review it again if necessary. (See Assignmetns 1 and 5.)

    


  20.  Section 7.1 – Laplace Transforms:
Definition & Table Formulae.  
March 9

    


  21.  Section 7.2 – Inverse Laplace
Transforms.  
March 10


    

Click here for 
Practice Problems to help
you prepare for the final exam.   
(This is NOT a sample final exam.)

    




  22.  Section 7.3: Part I – 1st Translation
Theorem & its Inverse.  
March 17

    
Just use the First Trans. Thm (1TT) and its inverse (I1TT).

    






  23.  Section 7.3: Part II – 2nd Translation
Theorem & its Inverse.  
March 17

    
FINAL EXAM ENDS HERE . . .


    

Click here for Practice
Problems to help you prepare for the final exam.
This is NOT a sample final exam.

    




    

    




























Remember that:


    
  
  1.  You are responsible for successfully completing all assigned
       problems in all your courses.
  
  2.  The exams may include problems similar to these assignments and
       lecture examples.
  
  3.  We must maintain a steady pace to cover the material
       that constitutes MATH-204. If you have difficulty with a section, be
       sure to see me for help immediately.
  
  4.  No matter how simple a topic appears when you see my examples or read
       the text, you will almost certainly have difficulty completing an
       exam if you do not practice the examples and do the assignments
       beforehand.