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MAT 204 Differential Equations Spring 2009
Instructor: Bruce Armbrust, phone: 541-4660 ext. 314, email: armbrust@ltcc.edu
Office Hours: Room A210, Mon. 12:30 1:30 PM Tues. 9:00 10:00 AM Wed., Fri. 9:00 9:30 AM MSC A201, Wed. 1:00 2:00 PM Thurs. 12:00 1:00 PM And as always, by appointment.
Class Time and Location: Mon., Wed., Fri. 11:00 AM 12:25 PM, E106
Textbook: Elementary Differential Equations, 9th Edition, by Boyce & DiPrima
Course Description: This course covers techniques of solving ordinary differential equations including: exact, separable, and linear equations, integrating factors, the method of undetermined coefficients, variation of parameters, Laplace transforms, series solutions, systems of differential equations, and applications.
Prerequisite: MAT107 with a grade of C or better or equivalent.
Student Learning Outcomes: By the end of the term, students shall be able to
1. Apply ordinary
differential equations to problems from physics, biology, and other scientific
disciplines.
Course Grade: Your final letter grade will be based on the usual grading scale: A 90-100%, B 80-89%, C 70-79%, D 60-69%, F 0-59% The following items will make up the course grade:
Homework: 15% Poster Project: 10% Exam1 (May 1): 20% Exam2 (June 1): 20% Final Exam (June 22): 35%
You may check your grades at any point in the quarter by going to the following website:
http://www.gradesource.com/reports/1027/16044/index.html Homework: Homework will be due by 2PM the class day after it is assigned. Homework not turned in at this time will be considered late. You may turn in homework up to one week after it is assigned for half credit. If all homework is turned in, and no more than two are late, you do not need to take the final exam.
Poster Project: Our class will join with the 1st year calculus class as well as the calculus- based physics class in the creation of posters demonstrating the use of calculus & physics in every-day life. The requirements and due dates for the project will be provided at a later point. Poster presentations will be held at a date TBD.
Exams: Students are to bring a pencil and blank scratch paper to each exam. If you cannot make it to an exam (final not included), you may take it up to 2 school days prior to the scheduled date with proper arrangements. Otherwise, the exam may be made up after the scheduled date with a penalty of 10% per day. The final exam must be taken no later than June 22nd.
Registration Information: You must register for this class through the LTCC web page using WebReg. You may drop the class with no penalty or mark on your record on or before May 1. After May 1, you may drop the class and receive a grade of W until May 22. After May 22, if still enrolled, you will receive a grade of A, B, C, D, F or I.
How to Succeed in a Math Class: I am often asked how to successfully pass a math class, and here is my advice:
I) Come to every class session. Be prepared, and plan on participating. II) Do your homework. Remember that what I assign is what I consider a bare minimum. If you need more practice, do it. III) Read the book. You paid good money for it, so you might as well use it. IV) Make use of available tutors and my office hours. You will find tutors who know the subject matter in this course at the MSC. V) Do math every day. Math is just like everything else: if you dont practice, you become rusty.
Learning Disabled Students: Students with disabilities who may need accommodations for this class are encouraged to notify me and contact the Disability Resource Center (DRC) early in the quarter so that reasonable accommodations may be implemented as soon as possible. Students may contact the DRC by visiting the Center (located in room A205) or by phoning 541-4660, ext. 249 (voice) or 542-1870 (TTY for deaf students). All information will remain confidential.
Technology in the Classroom: All cell phones, headphones, MP3 players, iPods, etc, must be turned off and put away prior to the start of each class. No electronic devices (other than calculators) may be used during quizzes and exams.
Academic Dishonesty: Academic dishonesty of any form will not be tolerated. Students caught cheating on an exam will receive a score of zero on the assignment and the ability to skip the final exam will be forfeit. Students may work together on homework assignments (and, in fact, are encouraged to) as long as all students understand the material covered.
Course Schedule: The following is a tentative schedule. If things change (and I have money that says they will), I will let you know.
April6 Chapter 1 Introduction to Differential Equations 8 2.1/2.2 Integrating Factors and Separable Equations 10 2.3 Modeling with First Order Equations 13 2.4/2.5 Linear vs. Nonlinear, Autonomous Equations 15 2.6 Exact Equations and Integrating Factors 17 2.8 The Existence and Uniqueness Theorem 20 2.9 First Order Difference Equations 22 3.1 Homogeneous Equations with Constant Coefficients 24 3.2 Linear Homogeneous Equations 27 3.3/3.4 Complex and Repeated Roots 29 3.5 Nonhomogeneous Equations
May1 Exam I 4 3.6 Variation of Parameters 6 3.7 Mechanical and Electrical Vibrations 8 3.8 Forced Vibrations 11 4.1 General Theory of nth Order Linear Equations 13 4.2 Higher Order Homogeneous Equations 15 4.3 Method of Undetermined Coefficients 18 4.4 Method of Variation of Parameters 20 5.1 Power Series 22 5.2 Series Solutions near an Ordinary Point 25 NO CLASS MEMORIAL DAY 27 5.3 More Series Solutions 29 5.4 Euler Equations
June1 Exam II 3 6.1 The Laplace Transform 5 6.2 Initial Value Problems 8 6.3 Step Functions 10 6.4 Discontinuous Forcing Functions 12 7.2/7.3 Matrices/Systems of Linear Algebraic Equations 15 7.4 Systems of First Order Linear Equations 17 7.5 Homogeneous Linear Systems 19 7.6 Complex Eigenvalues 22 Final Exam Note: The final is from 10:00 - 11:50 AM |