MATH 2260 (Chastkofsky) FALL 2009
Calculus I for Science and Engineering
Homework
Text: Hass, Weir, and Thomas, University Calculus
Chapter 6: Applications of Definite Integrals
6.1 Volumes by Slicing and Rotation About an Axis
§6.1: #1, 3, 13, 15, 17, 19, 23, 29, 39,
45, 49, 51
6.2 Volumes by Cylindrical Shells
§6.2: #1, 3, 7, 9, 11, 15, 17, 23, 25, 27,
29
6.3 Lengths of Plane Curves
§6.3: #1, 3, 9, 11,13, 15, 19
6.4 Areas of Surfaces of Revolution
§6.4: #13, 17
6.5 Exponential Change and Separable Differential Equations;
§6.5: #1, 9,11, 19, 21, 29, 31,35, 41
6.6Work;
§6.6: #1, 3, 17, 19, 21, 23
7.1 Inegration by Parts;
§7.1: #1, 3, 7, 11,13,15,17 21, 23,31
7.2 Trigonometric Integrals;
§7.2: #1, 3,5,7,9, 11,13,41
7.3 Trigonometric Substitutions;
§7.3: #1, 3,5,7,9, 15
7.4 Partial Fractions;
§7.4: #1, 3,5,7,9, 11,13,15,17,21
7.5 Computer Algebra Systems;
§7.5: #53,54,61,62
7.6 Numerical Integration;
§7.6: #27(b),28(a),31(a),32,35,36
7.7 Improper Integrals;
§7.7: #1,3,5,7,9,11,13,21,25,47,51,53,55,74,75,76
8.1 Sequences;
§8.1: #1,3,7,9,13,15,17,23,25,27,29,31,41,43,47,49,51,53,55,59
8.2 Infinite Series;
§8.2: #1,3,5,7,9,13,15,19,23,25,27,29,31,35,45,47,51,53,55,59
8.3 The Integral Test;
§8.3: #1-5,3,5,7,9,13,15,17,19,23,33
8.4 The Comparison Test;
§8.4: #1-3,5,7,9,13,15,17,19,23
8.5 The Ratio Test;
§8.5: #1,3,5,7,9,11,13,15,17,19,21,23
8.6 Alternating Series Test;
§8.6: #1,3,5,7,13,15,17,19
8.7 Power Series ;
§8.7: #1,3,5,7,9,13,15,17,19
8.8 Taylor Series ;
§8.8: #1,2,3,5,6,7,9,11,13,21,23,31,33,35,37
8.9 Convergence of Taylor Series ;
§8.9: #1, 3,7,9,15,13,19,2129,31,33,35,37
8.10 Binomial Series ;
§8.10: #1, 3,5,11
10.1 3-Dimensional Coordinate Systems;
§10.1: #1, 3,5,7,9,13,15,35,37,41
10.2 Vectors;
§10.2: #1, 3,5,7,9,11,17,19,21,25,27,29
10.3 Dot Product;
§10.3: #1, 3,5,7
10.4 Cross Product;
§10.4: #1, 3,5,7,15,17
10.5 Lines and Planes;
§10.5: #1, 3,5,13,15,21,23,25,29,30,33,35,37,39,41.43,45,47,49,51,53,55,57,59
10.6 Cylinders and Quadric Surfaces;
§10.6: #1-12