SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS 3.1 Homogeneous Equations with Constant Coefficients (1) 3.2 Fundamental Solutions of Linear Homogeneous Equations Wronskian (2) 3.3 Complex Roots of the Characteristic Equations (1) 3.4 Repeated Roots Reduction of Order (1.5) 3.5 Nonhomogeneous Equations Method of Undetermined Coefficients (3) 3.7 Mechanical and Electrical Vibrations (2) 3.8 Forced Vibrations (w/o damping) (1) 4. FIRST ORDER DIFFERENTIAL EQUATIONS 2.1 Linear Equations with Variable Coefficients (2) 2.2 Separable Equations (1) 2.3 Modeling with First Order Equations (cover mixing problems, plus either motion with air resistance, compound interest, or Newton’s law of cooling) (3) 2.4 Differences Between Linear and Nonlinear Equations (1) 2.5 Autonomous Equations and Population Dynamics (cover stability of equilibrium solutions) (1) 2.6 Exact Equations (omit Integrating Factors) (1.5) 3. INTRODUCTION 1.1 Direction Fields (.5) 1.2 Solution of Some Differential Equations (1) 1.3 Classification of Differential Equations (.5)2.

You can reach him by sending an email to Tentative Course Outline: 1. Course Coordinator: The department coordinator for Math 251 during the spring 2010 semester is Zachary Tseng. If further guidance is needed, you may contact the course coordinator whose address is given below. Grading Policy: Grades will be assigned on the basis of 450 points distributed as follows 100 points midterm examination I (6:30-7:45 pm, 2-25-2010) 100 points midterm examination II (6:30-7:45 pm, 4-7-2010) 100 points quizzes/homework 150 points final examination Final grades will be assigned as follows: A 405-450 pts A− 390-404 pts B+ 375-389 pts B 360-374 pts B− 345-359 pts C+ 330-344 pts C 315-329 pts D 270-314 pts F 0-269 pts Questions, Problems, or Comments: If you have questions or concerns about the course, please consult your instructor first. However, the use of calculators is not permitted on exams. Calculators: A calculator may be useful for some homework problems involving graphing. Students should not make plans to leave University Park before Saturday, May 8, 2010. The final examination period will begin on Monday, May 3 and end on Friday, May 7. Examinations: Two 75-minute midterm examinations, given on February 25 and April 7, and a comprehensive final examination given during the final examination period. Textbook: Elementary Differential Equations and Boundary Value Problems, 9th edition (7th or 8th ed ok), W. Prerequisite: Math 141, or equivalent courses. First- and second-order equations series solutions Laplace transform solutions higher order equations Fourier series second-order partial differential equations. MATH 251 Ordinary and Partial Differential Equations Spring Semester 2010 Syllabus Course Description: Ordinary and Partial Differential Equations (4:4:0).

Math 251 tseng