Instructor: Steve Richardson
Office: D127
Meeting Venue: Choral Room, M,W, F 12:30 - 1:50
Phone: 541-4660 extension 333
email: richardson@ltcc.edu
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Office Hours (D127)
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Monday
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Tuesday
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Wednesday
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Friday
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2:00 - 3:00 |
8:00 - 9:00
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2:00 - 3:00 |
11:30 - 12:30
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mtg |
date |
topic covered |
Reading Assignment |
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1 |
4/2
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Introduction to the course; direction fields | 1.1 |
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2 |
4/4
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Solutions to some differential equations; classification of Differential Equations | 1.2, 1.3 |
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3
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4/6
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Linear Equations and Integrating Factors; Separable Equations | 1.4, 2.1, 2.2 |
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4 |
4/9
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Separable Equations; Modeling with First Order Equations | 2.2, 2.3; Hwk 1 due |
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5 |
4/11
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Differences Between Linear and Nonlinear Equations | 2.4 |
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6
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4/13
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Autonomous Equations and Population Dynamics | 2.5 |
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7 |
4/17
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Exact Equations and Integrating Factors; | 2.6; Hwk 2 due |
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8 |
4/18
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The Existence and Uniqueness Theorem | 2.8 |
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9
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4/20
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First Order Difference Equations | 2.9 |
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10 |
4/23
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Midterm I | Hwk 3 due |
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11 |
4/25
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Homogeneous Equations with Constant Coefficients | 3.1 |
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12 |
4/27
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Fundamental Solutions to Linear Homogeneous Equations ; Last day to drop with no record! |
3.2 |
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13 |
4/30
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Linear Independence and the Wronskian; Complex Roots of the Characteristic Equation | 3.3, 3.4; Hwk 4 due |
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14 |
5/2
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Repeated Roots and Reduction of Order; Nonhomogeneous Equations and the Method of Undetermined Coefficients | 3.5, 3.6 |
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15
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5/4
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Variation of Paramenters; Mechanical and Electrical Vibrations | 3.7, 3.8 |
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16 |
5/7
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Poster Project | Hwk 5 due |
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17 |
5/9
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General Theory of nth Order Linear Equations; Homogenous Equations with Constant Coefficients | 4.1, 4.2 |
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18
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5/11
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The Method of Undetermined Coefficients | 4.3 |
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19 |
5/14
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The Method of Variation of Parameters | 4.4; Hwk 6 due |
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20 |
5/16
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Midterm II | study for midterm |
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21
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5/18
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Review of Power Series; Series Solutions Near an Ordinary Point Part I | 5.1, 5.2 |
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22 |
5/21
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Series Solutions Near an Ordinary Point Part II | 5.3; Hwk 7 due |
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23 |
5/23
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Regular Singular Points | 5.4 |
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24
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5/25
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Euler Equations | 5.5 |
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25 |
5/30
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Definition of the Laplace Transform; Solution of Initial Value Problems | 6.1, 6.2; Hwk 8 due |
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26 |
6/1
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Step Functions; Last day to withdraw from the course with a W! |
6.3 |
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27 |
6/4
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Differntial Equations with Discontinuous Forcing Functions | 6.4; Hwk 9 due |
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28
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6/6
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Review of Matrices; Linear Algebraic Equations; Linear Independence, Eigenvalues, Eigenvectors | 7.2, 7.3 |
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29
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6/8
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Basic Theroy of Systems of First Order Linear Equations | 7.4 |
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30 |
6/11
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Homogeneous Linear Systems with Constant Coefficients | 7.5; Hwk 10 due |
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31 |
6/13
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Conmplex Eigenvalues |
7.6 |
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32
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6/15
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Midterm III | study for midterm |
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6/18 |
Final exam Monday 12:00 - 1:50 pm |
study for final exam |
Required Textbook: Introduction to Ordinary Differential Equations, Boyce and DiPrima
This course will study the basic concepts of algebra. Topics covered will include the real numbers and their properties; the four basic operations with positive and negative numbers; simplifying algebraic expressions; solving and graphing linear equations, inequalities, and absolute value equations in one variable; graphing linear equations and inequalities in two variables; an introduction to polynomials; properties of integral exponents including scientific notation; and a brief introduction to functions.
The successful student will:
There will be two midterm exams given in the quarter. We will have a comprehensive final examination.
The project involves investigating an application of differential equations and physics. Exceptions will be made for students without a physics background. The display must be approximately 1 meter by 1.3 meters. You may write any equation by hand. You are encouraged to have Maple or Origin assist you in the project. Ideally you should work on the project with one partner, but an exception can be made under special circumstances. Your abstract is to be a one-paragraph description of your project. It will be due on May 2. Included in your abstract should be a set of references that you intend to use. From 12:00 to 1:30 on May 8 you will be expected to stand by your project and give a 5 minute presentation to the judges and observers. The project will be graded on both content and presentation.
There will be 10 homework assignments. These are due on Mondays commencing with week 2. Assignments may be turned in up to one week late for a maximum of half-credit. Assignments will consist of the assigned problems from the sections covered the previous week.
These assignments are subject to revision. You should check online before starting your assignments.
| Section | Assigned Problems |
| 1.1 | 4, 15-20, 22, 24 |
| 1.2 | 6 (need to do 4 and 5 first!), 13, 16 |
| 1.3 | 2, 6, 11, 17, 20, 23, 27 |
| 2.1 | 6, 13, 16, 19, 27, 30, 38 |
| 2.2 | 1, 8, 18, 26, 31 (read the homogenous equations discussion immediately preceding 30 and do number 30 itself before tackling 31), 34, 37 |
| 2.3 | 1, 5, 10, 20, 26, 32 |
| 2.4 | 3, 10, 16, 23, 27, 30, 33 |
| 2.5 | 2, 12, 16, 18, 21, 23, 24, 28 |
| 2.6 | 8, 17, 22, 24, 27, 30 |
| 2.8 | 2, 11, 13, 14, |
| 2.9 | 1, 5, 15a) |
| 3.1 | 2, 7, 10, 15, 17, 21, 24 |
| 3.2 | 4, 11, 15, 18, 25, 30, 33 |
| 3.3 | 1, 4, 10, 13, 17, 21, 25 |
| 3.4 | 3, 4, 7, 14, 20, 27,42 |
| 3.5 | 8, 14, 18, 19, 23, 29, 32, 38 |
| 3.6 | 3, 6, 14, 17, 33, 36 |
| 3.7 | 1, 10, 16, 20, 28, 30 |
| 3.8 | 4, 7, 11, 15, 27 |
| 4.1 | 1, 8, 14, 23 |
| 4.2 | 5, 17, 33, 39 |
| 4.3 | 1, 4, 9, 11, 16, 20, 21 |
| 4.4 | 1, 6, 8, 11, 13, 14, 16 |
| 5.1 | 5, 13, 18, 20, 20, 23, 25, 28 |
| 5.2 | 3, 7, 14, 17, 21, 24, 27 |
| 5.3 | 2, 7, 10, 14, 19, 26 |
| 5.4 | 4, 9, 14, 19, 25 |
| 5.5 | 4, 15, 19, 23, 27, 31 |
| 6.1 | 4, 8, 14, 19, 25, 27, 37 |
| 6.2 | 4, 8, 14, 19, 25, 27, 37 |
| 6.3 | 3, 9, 16, 22, 26, 27, 31 |
| 6.4 | 2, 8, 13, 18 |
| 7.2 | 22, 25 |
| 7.3 | 1, 6, 10, 12, 18, 26, 32, 33 |
| 7.4 | 2, 3, 4, 5, 6, 8, 9 |
| 7.5 | 4, 8, 12, 16, 20, 24, 29 |
| 7.6 | 4, 10, 12, 17, 22, 25, 28 |
You can find your scores on the web here, or by searching for our course at http://www.gradesource.com
Grading will be based on your total scores from:
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3 Midterm exams |
300 points
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50 %
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1 Comprehensive Final |
100 points
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16 %
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| 1 Poster Project |
100 points
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17 %
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10 assignments |
100 points
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17 %
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| Total |
600 points
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100 %
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No extra credit work will be assigned or accepted.
The letter grade assigned will be based on the following cutoffs:
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90 % - 100 %
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A
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80 % - 90 %
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B
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70 % - 80 %
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C
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60 % - 70 %
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D
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< 60 %
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F
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I am here to help you learn. I want you to succeed in this course and beyond. Use me as your resource. See me during my office hours. Do not hesitate to make arrangements to see me anytime outside of class or office hours. Make arrangements with me if you have any difficulties or special needs. We have tutoring and a Learning Assistance Center available. We have the Gateway Math Center with tutors, computers and help available. We have a Learning Disabilities Lab available and I will accommodate any learning disability you may have to the best of my and the College’s ability. If you find that you are lost or behind please do not hesitate to see me.
Cheating or copying will not be tolerated. People who cheat dilute the honest effort of the rest of us. If cheat on a quiz or exam you will receive an F for the course, not merely for the test. Other college disciplinary action including expulsion might occur. Please don’t cheat in this class. If you are having difficulty with the course, please see me.