syllabus - MATH 3310 Differential Equations Spring 2010...

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MATH 3310 Differential Equations, Spring 2010 Instructor: Dr. Liancheng Wang Office: Sci. & Math. 511 E-mail: [email protected] Phone : 678-797-2139 Office Hours: 2:00-3:15 pm, 5:00-6:00 pm, T TH, or by appointment Text: A First Course of Differential Equations with Modeling Applications by Dennis G. Zill, 9 th edition, Brooks/Cole Prerequisite: A grade C or better from Math 2202 Class Meeting: 6:30pm-7:45pm, T TH, CL 1003 Learning Outcomes : 1. Understand in the science and engineering fields, many physical phenomena can be mathematically modeled and yield to differential equations. The learning basic skills of modeling and solving ordinary differential equations are the major goals of this course. 2. Understand the statements of basic theories of existence, uniqueness, and stability for ordinary differential equations. 3. Learn solving mathematics problems analytically, numerically (Euler’s Method), and geometrically (Slope Fields) whenever appropriate. 4. Learn how to interpret solutions and represent solutions in documents, table, graphs, and other means. 5. Learn basic techniques such as, but not limited to, Separation of Variables, Substitutions & Transformations, Special Integral Factors, Variation of Parameters, and using Auxiliary Equations. 6. Learn how to convert Higher-Order Linear Differential Equation to a first order linear system and use Linear Algebra Method to find solution 7. Learn Laplace Transforms Method if time available Homework: Homework assignments for each section will be given as the course progresses. These are the least amount of work required to complete the course successfully.
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