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MATH 204 Differential Equations Mon, Tues, Wed, and Thurs 4:00 to 5:05 AM Room D 108 5 UNITS Instructor: Larry Green Phone Number Office: 541-4660 Extension 341 Internet e-mail:...greenl@ltcc.edu Home Page: http://www.ltcc.edu/programs/math Required Text Elementary Differential Equations sixth edition by William Boyce and Richard DiPrima Course description This is a beginning course in ordinary differential equations, including traditional topics, series solutions, applications and Laplace transforms. Prerequisite A grade of C or better in Math 107 or equivalent. Grading Policy Your letter grade will be based on your percentage of possible points. A 90 -- 100% C 70 -- 79% B 80 -- 89% D 60 -- 69% Homework: ......................................... .100 points Midterm 1: April 4..................... .. ......150 points Midterm 2: May 11................................ 150 points Project: June 13..........................................50 points Midterm 3: June 14..................... 150 points Final Exam: June 19............................ ....400 points Exam Policy Students are to bring calculators, pencils or pens, and paper to each exam. Grading will based on the progress towards the final answer, and the demonstration of understanding of the concept that is being tested, therefore, work must be shown in detail. Any student who cannot make it to an exam may elect to take the exam up to two days before the exam is scheduled. If all homework is completed and no more than three homework assignments are counted late, then the midterm with the lowest score will be dropped. Homework Policy Homework will be turned in at the end of class on the date due. If a student has additional questions, that student may see me after class in my office and then turn in the homework by 7:40 AM on the next day. Homework that is turned in within one week of the due date will be counted as half credit. Homework may be turned later than one week after the due date, but points will not be awarded. Extra Credit Any student who has turned in every homework assignment may elect to work on an extra credit assignment or project that will count as additional points towards either a midterm or the final. Project The project involves investigating an application of Differential Euqations that is an application of a course that your are taking or an interest that you have. The write-up of the project must be more than two pages (typed double spaced). You may write any equation by hand. You are encouraged to have Math View assist you in the project. You are also encouraged to work on the project in coordination with a non-math course that you are currently taking. You may work on the project in groups and if you choose to turn in a group project, the write up should be more than 2 + n pages where n is the number of individuals in your group. Your abstract is to be a one paragraph description of your project. Included in your abstract should be a set of references that you intend to use. Registration 1. You must register for this class at the Office of Admissions and Records. 2. You may drop the class with no penalty or mark on your record on or before Friday, April 28 . 3. After April 28, you may drop the class and receive a grade of W until Friday, June 2. 4. After June 2, if you are enrolled, you will receive one of the following grades: A,B,C,D,F or I (Incomplete, must be negotiated with the instructor and is only allowed in special cases). In this class, it is your responsibility to drop the class in order to avoid an unwanted grade. You must go to the registrar by the above dates to avoid the unwanted grade.
OFFICE HOURS: Room A210 Monday, Wednesday ....... .. 3:00 to 4:00 Tuesday, Thursday ..................... 9:30 to 10:30 (In GMC) Friday ...........................11:00 to 12:00 CALCULATORS: A graphing calculator is required for this class. There are a variety of such calculators on the market. The instructor will be using a Texas Instruments-85. A calculator with symbolic manipulation capabilities will not be allowed. Instructions on the TI 85 Calculator LEARNING DISABILITIES: If you have a learning disability, be sure to discuss your special needs with Larry. Learning disabilities will be accommodated. HOMEWORK ASSIGNMENTS Lecture will always be geared towards an explanation of the topics that will be covered on the upcoming homework assignment. Date Section Topic Exercises 4-3 Introductions 4-4 1.1
Classification
1,6,9,14,17,30,35,40 4-5 2.1 Linear Equations 1,6,11,14,17,21,29,30,35,40 4-6 2.2 More
Linear Eq 1,8,13,20,23,28,35,40
4-10 2.4 Linear and
Nonlinear 1,6,11,16 4-11 2.6 Applications 1,4,7,10,13,19,22,23 4-12 2.7 Mechanics 1,4,7,10,13,16,18,19 4-13 2.8 Integrating Factors 1,6,11,14,17,23,26,29,32
4-17 2.9 Homogeneous Eq.
1,4,7,10,13,16,19,21 4-18 2.11 Existence & Uniqueness 1,4,7,10,11,14,15,19 4-19 2.12 First Order Diff Eqs. 1,4,7,10,13,16,19 4-20 Midterm I
4-24 Return Midterm I 4-25 3.1 Constant Coefficients 1,4,7,10,13,16,17,18,21,24,27,30,35,40 4-26 3.2 Fundamental Solutions 1,4,7,10,13,16,19,22,25,28,32,35 4-27 3.3 The Wronskian 1,4,7,10,13,14,17,20,23,26,27
5-1 3.4 Complex Roots 1,6,11,16,21,24,27,28,31,34,37 5-2 3.5 Repeated Roots 1,6,11,14,17,19,21,26,29,32,35,40 5-3 3.6 UC Functions 1,6,11,16,21,26,27,28,31,35 5-4 3.7 Variation of Parameters 1,6,11,16,21,22,25,27,30
5-8 3.8 Vibrations
1,6,11,16,21,28,32 5-9 4.1 nth
Order Diff EQs.
1,8,15,20,26,27 5-10 4.3 UC
Functions
1,8,11,16,19 5-11 Midterm II
5-15 Return Midterm II 5-16 5.1 Power Series 1,4,7,10,13,16,17,20,23,26,28 5-17 5.2 Ordinary Point I 1,4,7,10,13,16,19,21,24,27 5-18 5.3 Ordinary Point II 1,4,7,10,13,16,19,22,25,28
5-22 5.4 Regular Sing. Points 1,4,7,10,13,16,19,21,14,27 5-23 5.5 Euler Equations 1,6,11,16,19,13,27,30 5-24 5.6 Singular Point I 1,4,7,10,11,12,15,16 5-25 5.7 Singular Point II 1,4,7,10,13,16,19,21
5-29 Memorial Day 5-30 6.1 Laplace Transform 1,6,11,16,21,26,27,28,33,36,37,38 5-31 6.2 Initial Value 1,4,7,10,13,16,19,22,25,28,31,34 6-1 6.3
Step
Functions
1,6,11,16,19
6-5 7.1 Introduction
1,6,11,16,18,22 6-6 7.3 Linear Algebra Review 1,4,7,10,13,16,19,22,25,28,32,33,34 6-7 7.4 System
of Diff Eqs.
2,3,4,5,6,7,8,9 6-8 7.5 Homogeneous Systems 1,4,7,10,13,16,19,22,25,28,31,33
6-12 7.6 Complex Eigenvalues
1,6,11,16,21,26,29 6-13 Project Due 6-14 Midterm III
6-19 Comprehensive Final Exam 4:00 PM - 5:50 PM
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