ExtraA - - Power series (some of Chapter 24);- Linear maps...

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MATH 186 – WINTER 2009 HOMEWORK SET 11 This homework won’t be collected! What you need to review for the final: - Riemann-integrability (Chapter 13) and the Fundamental Theorem of Calculus (Chapter 14); - Techniques of integration (Chapter 19), generalized integrals (cf. pages 301, 302, and your notes); - Intro to trigonometric functions, logarithms and exponentials (Chapters 15, 18) - Approximation by polynomial functions and Taylor’s theorem (Chapter 20) - Infinite sequences (Chapter 22) and series (Chapter 23), criteria for convergence;
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Unformatted text preview: - Power series (some of Chapter 24);- Linear maps and matrices;- Vector (sub-)spaces;- Linear independence and bases;- Invertible matrices;- Eigenvalues/eigenvectors. Ex 1. Review your midterms, notes, and past homeworks. Ex 2. Compute the eigenvalues and eigenvectors of the matrix A = h 4 9 0-2-5 0 0 3 i . From Spivak: Chapter 23: Ex # 16, 20, 27; Chapter 24: Ex # 3(ii), 4(iii), 9. Reduce, reuse, recycle!...
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This note was uploaded on 11/22/2010 for the course MATH 186 taught by Professor Staff during the Winter '08 term at University of Michigan.

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