Ordinary Differential Equations

285 DIFFERENTIAL EQUATIONS (3+0) 3 credits

Theory and solving techniques for constant and variable coefficient linear equations and a variety of non-linear equations. Emphasis on those differential equations arising from real-world phenomena. Prerequisite: MATH 283 (or 182 with permission of instructor).

Spring 2005

Course Information

Instructor:

Eric Olson

email:

ejolson at unr.edu

Office:

MWF 10am Ansari Business Building AB 614 and by appointment.

Homepage:

http://fractal.math.unr.edu/~ejolson/285/

Text:

Dennis G. Zill, Differential Equations with Modeling Applications, Seventh Edition, 2000, Brooks Cole Thomson Learning.

Section:

001 Math 285 Differential Equations

MWF 9:00-9:50am AB 212

Grading

    6 Quizzes                       10 points each (drop 1)
    6 Homework Assignments          10 points each (drop 1)
    Recitation/Participation        10 points
    2 Exams                         70 points
    1 Final Exam                   100 points
    -------------------------------------------------------
                                   350 points total

Calendar

#   Date     Chapter     Topic
------------------------------------------------------------------------
1   Jan 19    2.2         Separation of Variables
2   Jan 21    2.3         Variation of Parameters
3   Jan 24    1.1-1.2     Initial Value Problems
4   Jan 26    1.2         Existence of a Unique Solution

    Jan 27    Final date for adding classes; changing from letter grade
              to S/U; changing from S/U to letter grade; changing from
              audit to credit.  Final date for late registration and
              paying registration fees; to receive 100 percent refund if
              completely withdrawing from the university; to receive
              refunds for dropping individual classes.

5   Jan 28                Recitation 1 and Quiz 1
6   Jan 31    1.3         Differential Equations as Mathematical Models
7   Feb 2     2.1         Direction Fields
8   Feb 4     2.6         Numerical Solutions
9   Feb 7     9.1         Error Analysis
10  Feb 9     9.2         Runge-Kutta Methods
11  Feb 11                Computer Lab (attendance required)
12  Feb 14    2.4         Exact Equations
13  Feb 16    2.5         Solution by Substitution
14  Feb 18                Recitation 2 and Quiz 2

    Feb 21    Legal holiday. Offices closed. No classes.

15  Feb 23    4.1.1       Initial-Value and Boundary-Value Problems
16  Feb 25    4.1.2-4.1.3 Homogeneous and Nonhomogeneous Equations
17  Feb 28    4.2         Reduction of Order
18  Mar 2     4.3         Constant Coeficients
19  Mar 4     4.3         Constant Coeficients (continued)
20  Mar 7                 Review
21  Mar 9                 EXAM 1
22  Mar 11    4.4         Superposition Approach

              Final date for dropping classes.

23  Mar 14    4.6         Variation of Parameters
24  Mar 16    8.1         Systems of Linear First Order Equations
25  Mar 18                Recitation 3 and Quiz 3
26  Mar 21    8.2.1       Distinct Real Eigenvalues
27  Mar 23    8.2.2       Repeated Eigenvalues
28  Mar 25    8.2.3       Complex Eigenvalues

    Mar 26    Spring break holiday. Offices open. No classes.

29  Apr 4     8.3         Variations of Parameters
30  Apr 6     8.4         Matrix Exponential
31  Apr 8                 Recitation 4 and Quiz 4
32  Apr 11                Review
33  Apr 13                EXAM 2
34  Apr 15    7.1         Definition of the Laplace Transform
35  Apr 18    7.2         Inverse Transform
36  Apr 20    7.3         Translation on the s-axis and t-axis
37  Apr 22                Recitation 6 Quiz 5
38  Apr 25    7.4         Additional Operational Properites
39  Apr 27    7.5         Dirac Delta Function
40  Apr 29                Recitation 7
41  May 2                 Review and Quiz 6

Final Exam

• Section 001 on Thursday, May 5 from 9:45 to 11:45am in AB 212.

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