# PS00 - University of Illinois Fall 2009 ECE 313 Problem Set...

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University of Illinois Fall 2009 ECE 313: Problem Set 0 Calculus Review Due: Friday August 28 at 4 p.m. Reading: Ross Chapter 1.1–1.4, Chapter 2.1–2.5. Noncredit Exercises: Chap. 1: Probs. 1-5,7,9. Theoretical exercises 4,8,13. Self-test probs. 1-15. Chap. 2: Probs. 3,4,9,10, 11-14. Theoretical exerecises 1-3,6,7,10,11,12,16,19,20. Self-test probs. 1-8. About the problems below: Calculus, a prerequisite of this course, will be used mainly in the second half of the semester. The parts of calculus primarily needed are integration and diﬀerentiation, Taylor series, L’Hˆ opital’s Rule, integration by parts, and double integrals (setting up limits of integration and change of variables such as in rectangular to polar coordinates). This problem set will help you review these topics, and identify areas in which you may need additional review. 1. [Geometric, MacLaurin, and Taylor series; L’Hˆopital’s rule] (a) Prove that 1 + x + x 2 + ··· + x n - 1 = 1 - x n 1 - x for all x 6 = 1 and all integers

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## This note was uploaded on 11/08/2010 for the course ECE ECE 313 taught by Professor S during the Spring '10 term at University of Illinois at Urbana–Champaign.

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PS00 - University of Illinois Fall 2009 ECE 313 Problem Set...

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