Lectures
Monday, Wednesday and Fridays 1:00PM-1:50PM CB 349.Literature
Elementary Differential Equations William E. Boyce / Richard C. DiPrima. 10th edition.Course Contents
MA 214 is a course in ordinary differential equations. Emphasis is on first (Chapter 2) and second order equations (Chapter 3) and applications. The course includes series solutions of second order equations (Chapter 5) and Laplace transform methods (Chapter 6). Most of chapters 1,2,3,5 and 6 from Boyce-DiPrima's book.Examination and Grading
Tests (50%)
There will be 2 tests. These will be announced at least one week in advance.Final (30%)
There will be a comprehensive final to be worth 30% on Wednesday 5/6/2015 1:00-3:00 P.M..Homework and Quizzes (20%)
There will be online homework to be handed in every week.The online homework will be assigned and completed in Webwork (http://webwork2.ms.uky.edu/webwork2/ma214-06/). Your username is your LinkBlue ID (use only capital letters), and your password is your student ID number (8 digits).
There may also be some additional written homework. These problems will be assigned after some of the classes and also posted in the web page of the course.
There will be (unannounced) quizzes on some Wednesdays.
Homework and quizzes are equally weighted for the remaining 20% of the grade.
Grading Scale
| Percentage | Grade |
|---|---|
| >=90% | A |
| >=80% | B |
| >=70% | C |
| >=60% | D |
| <60% | E |
Suggested exercises
There is a list of suggested exercises that you can find in http://dleon.combinatoria.co/pages/courses/suggestedproblemsma322002-201501.html. You are expected to complete at least one third of the problems in this list. Some of these problems could appear in the quizzes, tests and the final exam.Syllabus
This is an approximate schedule of the course containing the syllabus:| Date | Topic |
|---|---|
| Wed 1/14 | Introduction. 1.1 Some Basic Mathematical Models; Direction Fields |
| Fri 1/16 | 1.2 Solutions of Some Differential Equations; 1.3 Classification of Differential Equations |
| Wed 1/21 | 2.1 Linear Equations; Method of Integrating Factors |
| Fri 1/23 | 2.2 Separable Equations |
| Mon 1/26 | 2.3 Modeling with First Order Equations |
| Wed 1/28 | 2.4 Differences Between Linear and Nonlinear Equations |
| Fri 1/30 | 2.4 Differences Between Linear and Nonlinear Equations |
| Mon 2/2 | 2.5 Autonomous Equations and Population Dynamics |
| Wed 2/4 | 2.6 Exact Equations and Integrating Factors |
| Fri 2/6 | 2.6 Exact Equations and Integrating Factors |
| Mon 2/9 | 2.7 Numerical Approximations: Euler’s Method |
| Wed 2/11 | 3.1 Homogeneous Equations with Constant Coefficients |
| Fri 2/13 | 3.1 Homogeneous Equations with Constant Coefficients |
| Mon 2/16 | Review Test 1 |
| Wed 2/18 | TEST 1 |
| Fri 2/20 | 3.2 Solutions of Linear Homogeneous Equations; the Wronskian |
| Mon 2/23 | 3.2 Solutions of Linear Homogeneous Equations; the Wronskian |
| Wed 2/25 | 3.3 Complex Roots of the Characteristic Equation |
| Fri 2/27 | 3.4 Repeated Roots; Reduction of Order |
| Mon 3/2 | 3.5 Nonhomogeneous Equations; Method of Undetermined Coefficients |
| Wed 3/4 | 3.6 Variation of Parameters |
| Fri 3/6 | 3.6 Variation of Parameters |
| Mon 3/9 | 3.7 Mechanical and Electrical Vibrations |
| Wed 3/11 | 3.8 Forced Vibrations |
| Fri 3/13 | 3.8 Forced Vibrations |
| Mon 3/23 | 6.1 Definition of the Laplace Transform |
| Wed 3/25 | 6.2 Solution of Initial Value Problems |
| Fri 3/27 | 6.2 Solution of Initial Value Problems |
| Mon 3/30 | Review Test 2 |
| Wed 4/1 | TEST 2 |
| Fri 4/3 | 6.3 Step Functions |
| Mon 4/6 | 6.3 Step Functions |
| Wed 4/8 | 6.4 Differential Equations with Discontinuous Forcing Functions |
| Fri 4/10 | 6.4 Differential Equations with Discontinuous Forcing Functions |
| Mon 4/13 | 6.5 Impulse Functions |
| Wed 4/15 | 6.6 The Convolution Integral |
| Fri 4/17 | 6.6 The Convolution Integral |
| Mon 4/20 | 5.1 Review of Power Series |
| Wed 4/22 | 5.1 Review of Power Series |
| Fri 4/24 | 5.2 Series Solutions Near an Ordinary Point, Part I |
| Mon 4/27 | 5.3 Series Solutions Near an Ordinary Point, Part II |
| Wed 4/29 | 5.3 Series Solutions Near an Ordinary Point, Part II |
| Fri 5/1 | Review Final |
| Wed 5/6 | FINAL EXAM 1:00-3:00 P.M. |
Additional Resources
The university and the department of mathematics offer tutoring without appointment at The Mathskeller . The Study also offers peer tutoring.Calculators Policy
Students may use a graphing calculator on exams but may not use any electronic device with the ability to do symbolic computations such as the TI-89, TI-92, HP48 or a computer.Code of Conduct
Students should consult the students rights and responsibilities outlined in the Student Code of Conduct. Any offense to the Code of Conduct will result in a grade of "E" for the course and a referral to the Dean of Students.Excused Absences
University Senate Rule 5.2.4.2 defines the following acceptable reasons for an ”excused absence” from class:- Serious illness (must be documented by doctor’s excuse)
- Illness or death of a family member
- University-related trips (must be documented by a letter from sponsor)
- Major religious holidays
- Other circumstances that your instructor finds to be ”reasonable cause for nonattendence”