MATH 161 Homework, Spring 2011 Text: Weir, Hass and Giordano: Thomas’ Calculus, 12th edition and Ziliak, Hulpke: Supplemental notes for Calculus II WW indicates WebWorK and H means traditional homework to be written on paper. These problems are listed in the last chapter of the Supplemental Notes. The symbol § denotes a section from Thomas. Sect-Topic Calculus I 7.1 - Inverse Functions and their Derivatives 7.1 - Inverse Functions and their Derivatives 7.6 - Inverse Trigonometric Functions 7.6 - Inverse Trigonometric Functions 7.2 - Natural Logarithms 7.3 - Exponentials 7.3 - Exponentials 7.4 - Separable Differential Equations 7.4 - Separable Differential Equations 8.1, 8.2 - Integration by Parts and Trig Integrals 8.1, 8.2 - Integration by Parts and Trig Integrals Lab 1 - Introduction to Maple 8.3 - Trigonometric Substitution 8.3 - Trigonometric Substitution 8.4 - Partial Fractions 8.4 - Partial Fractions 7.8 - Relative rates of growth 8.7 - Improper Integrals 8.7 - Improper Integrals N1 - Convergence of Improper Integrals 10.1 - Sequences 10.1 - Sequences 10.2 - Series 10.2 - Series N2 - Geometric Series Lab 2 - Integration in Maple N3 - Series/Improper Integrals N3 - Series/Improper Integrals 10.7, N4 - Power Series 10.7, N4 - Power Series 10.8 - Taylor Series 10.8 - Taylor Series 10.9 - More Taylor Series Lab 3 - Taylor polynomials and Taylor series 10.9, N5 - Taylor Series Error estimates 10.9, N5 - Taylor Series Error estimates 10.10 - The Binomial Series and Applications of Taylor Series 11.1,11.2 - Parametric Curves and Length of Curves 11.1,11.2 - Parametric Curves and Length of Curves 11.3 - Polar Coordinates 11.3 - Polar Coordinates 11.4 - Graphing in Polar Coordinates 11.5 - Area and Length in Polar Coordinates 11.5 - Area and Length in Polar Coordinates 1 Problems WW: gateway WW:sect71 H:7.1.A,B H:7.6.A,B,C WW:sect76, sect72 H:7.2.A,B H:7.3.A WW:sect73 WW:sect74 H:7.4.A,B,C WW:sect81, sect82 H:8.1.A, 8.2.A H:Lab Report WW:sect83 H:8.3.A WW:sect84 H:8.4.A,B WW:sect78 WW:sect87 H:8.7.A H:N1: 9,10 WW:sect101 H:10.1.A,B H:§10.2: 2, 30 WW:sect102 H: §10.2: 57,73 H:Lab Report WW:sect1034 H:N3: 4,6,10,11 WW:sect107 H:10.7.A,B,C,D H:10.8.A,B WW:sect108, sect109 H:10.9.A,B H:Lab Report H:10.9.C,D WW:sect109a, sect1010 H:10.10.A WW:sect111 H:112.A H:11.3.A,B WW:sect113 H: 11.4.A WW:sect115 H:11.5.A Due Jan 20 Jan 21 Jan 21 Jan 25 Jan 27 Jan 28 Feb 1 Feb 3 Feb 7 Feb 8 Feb 14 Feb 15 Feb 18 Feb 17 Feb 18 Feb 21 Feb 22 NA Feb 28 Mar 1 Mar 4 Mar 7 Mar 8 Mar 22 Mar 24 Mar 22 Mar 25 Mar 28 Mar 29 Mar 31 Apr 1 Apr 5 Apr 7 Apr 12 Apr 15 Apr 19 Apr 21 Apr 19 Apr 25 Apr 26 Apr 26 Apr 28 Apr 29 May 2 May 3 Sect-Topic A.7, 7.7 - Complex Numbers A.7, 7.7 - Complex Numbers Problems WW:secta7 H:A.7.A,B,C Due May 5 May 6 Additional practice problems: In order to pass this course, it is important to gain experience with many many problems. We recommend that you do these problems for practice on your own. Practice problems marked with N are from the chapters of the Supplemental Notes. §7.1: 1-34 §7.6: 1-90 §7.2: 1-68 §7.3: 1-50, 55-92 §7.4: 1-38 Pg 430: 1-24, 31-84, 109, 110, 113, 114 §8.1: 1-50 §8.2: 1-22 §8.3: 1-34 §8.4: 1-50 §7.5 1-50 §7.8 1-8 §8.7: 1-65 Pg 489: 1-44, 53-116 N1: 1-10 §10.1, proofs for 27-29 §10.2: 1-34,49-78 N2: 1-3 §10.3: 1-40 §10.4: 1-54 N3: 1-9 §10.5: 1-8 §10.7: 1-36 (ignoring endpoints) N4: 1-3 §10.8: 1-32 §10.9: 1-40 §10.10: 1-14, 29-56 Pg 605: 51-68 §11.1 1-30 §11.2: 25-30 §11.3: 1-68 §11.4: 1-12 §11.5: 1-20 Pg 656: 47-50 §A.7: 1-30 2