Ordinary Differential Equations, ODE, Math 3301 ... - Lamar University

Drop Dates: June 15, 25. Get a receipt. There is a maximum-6-drop policy.Text: Elementary Differential Equations and Boundary Value Problems, by William E.Boyce, Richard C. DiPrima. 8 or 9-th edition.Course Objectives: Successful completion of this course means the students will1. Sketch direction fields and interpret solution behavior for the sketch.2. Solve first order differential equations and use them to model certain physical situationssuch as mixing problems, population dynamics and falling bodies.3. Solve homogeneous and nonhomogeneous second order differential equations and usethem to investigate vibration problems.4. Solve differential equations using Laplace transforms.5. Solve systems of differential equations and sketch the phase portrait for the system.Catalog Course Description:First order equations: modeling and population dynamics, stability, existence and uniquenesstheorem for nonlinear equations, Euler’s method. Second order equations: nonlinearequations via reductions methods, variation of parameters, forced mechanical vibrations,resonance and beat. Laplace Transform: general forcing functions, the convolution integral.Systems of ODEs: eigenvalues and phase plane analysis.Prerequisites and Audience: Calculus II + 1.5 hours of lecture + 4 hours of study perday, if you got a A in calculus II last semester. Course is for math, engineering, physics,and computer science.Test Email: All students are REQUIRED to have a working e-mail address and MUSTsend a test e-mail within three days. Send the test email as:To: email address given in class.Subject: ODEFor text write your information as followsFirst and Last name:Particular circumstances (add any pertinent information I need to know about)Information on the last four math courses: course title/date/university/gradee.g., Calculus 1, Fall 2008, TAMU, BTo protect your personal e-mail address you may arrange for a disposable e-mail addressand give that to me. Also remember that Lamar assigns you an e-mail address when youregister. Every email must contain first and last name as well as course title.Absence and Exam Make Up Policy: If you are absent from an exam let me knowas soon as possible and be prepared to show written proof of emergency. An individualdecision will be made in each case. July 3rd is a holiday.Calculator Policy: You are allowed to use a basic scientific calculator on all tests. Basiccalculators cost about $10-$30, have few lines of display, are not capable of drawing graphs,solving equations, differentiating, or integrating. Use of an advanced calculator will reduceyour exam grade by 50 points. You do need to purchase and practice your calculatorearly on. Do keep the manual or find its web site.