syllabus.pdf - Math 21-356 Principles of Real Analysis II...

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Math 21-356 Principles of Real Analysis II Fall 2012 Instructor: Stephan Wojtowytsch, Wean Hall 8214 Email: [email protected] (or directly on canvas) Office Hours: Tue and Wed 11:30 - 12:30AM Time and Location: MWF 1:30 - 2:20PM, DH A302 Course website: Learning Outcomes: After completing this course, you should have an intuitive understanding of functions, integrals and derivatives and their applications. be able to apply techniques of calculus in model problems. be familiar with several important function classes. be familiar with important techniques of integration and differentiation (chain rule, product rule, substitution, integration by parts) Course description: Functions, limits, derivatives, curve sketching, Mean Value Theorem, trigono- metric functions, related rates, linear and quadratic approximations, maximum-minimum problems. Definite and indefinite integrals; inverse functions, logarithmic, exponential, and hyperbolic func- tions; applications of integration, integration by substitution and by parts. Prerequisites: See for what topics you should have some familiarity with. Also see Homework 0 on the course homepage. Textbook: The lectures will follow APEX Calculus Volume 1, available for download for free at . Grading: There will be homework assignments (posted on ), two midterm exams and a final. Mid semester grade Final grade 20% homework 20% homework 80% first midterm 25% first midterm, 25% second midterm 30% final The lowest score on a homework assignment will be ignored for the computation of the homework average. Grades on individual assignments may be curved at the instructor’s discretion. The mid semester and final grades will be computed (after potential curving) according to the following scheme.
Mid semester grade

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