Calculus & Analytic Geometry III, Spring 2005

Instructor: Lucy Lifschitz


Date  Sections  Homework 
January 19,21  §11.1 Curves Defined by Parametric Equations 
§11.2 Calculus with Parametric Curves 
p.692 ##1,5,7,15,19,24 
p.702 ##3,5,11,15,19,25,29,31,39 
January 24,26,28  §11.3 Polar Coordinates 
§11.4 Area and Lengths in Polar Coordinates 
p.713 ##1,3,11,13,17,25,31,35,39,57,61 
p.719 ##1,7,13,23,27,31,47 
Jan. 28, Feb. 2,4  §11.5 Conic Sections 
§12.1 Sequences 
p.726 ##3,5,15,19,27,31,39,43,47 
p.747 ##3,13,15,17,23,29,39,55,57 
February 7,9,11  §12.2 Series 
§12.3 The Integral Test and Estimates of Sums 
p.756 ##3,9,13,17,19,25,35,43,50 
p.765 ##5,6,7,13,15,19,25 
February 14,16,18  §12.4 The Comparison Tests 
§12.5 Alternating Series 
p.770 ##3,5,9,15,17,19,23,39 
p.775 ##5,7,11,13,17,23 
February 21,23,25  Review 
Midterm I, February 23 
 
 
Feb. 28, March 2,4  §12.6 Absolute Convergence, Ratio and Root Tests 
§12.7 Strategy for Testing Series 
p.781 ##3,5,7,9,13,15,19,21,30 
p.784 ##5,9,13,17,19,21 
March 7,9,11  §12.8 Power Series 
§12.9 Representation of Functions as Power Series 
p.789 ##3,5,7,11,17,23,29 
p.795 ##5,7,9,11,15,17,23,25,27 
March 21,23,25  §12.10 Taylor and Maclaurin Series 
§12.11 The Binomial Series 
§12.12 Applications of Taylor Polynomials 
p.806 ##3,5,11,13,15,19,25,27,39 
p.819 ##13,17 
March 28,30, April 1  §13.1 Three-Dimensional Coordinate System 
§13.2 Vectors 
§13.3 The Dot Product 
p.833 ##3,5,7,9,13,17,27,31 
p.841 ##7,13,17,19,23,25 
p.848 ##3,7,9,17,19,23,25,27,31,35,45 
April 4,6,8  §13.4 The Cross Product 
§13.5 Equations of Lines and Planes 
p.856 ##3,7,9,13,15,23,25,29,33 
 
April 11,13,15  Review 
Midterm II, April 13 
 
 
April 18,20,22  §13.6 Cylinders and Quadratic Surfaces 
§13.7 Cylindrical and Spherical Coordinates 
p.866 ##3,7,11,19,25,27,31,35,39,45,53 
p.873 ##3,11,13,19 
p.879 ##3,5,9,11,1517,19,23,29,31,35,39,59 
April 25,27,29 §14.1 Vector Functions and Space Curves 
§14.2 Derivatives and Integrals of Vector Functions 
p.891 ##3,5,11 
p.897 ##9,11,14,19,21,23,33,37 
May 2,4,6  §14.3 Arc Length and Curvature 
§14.4 Motion in Space: Velocity and Acceleration 
 
 
 
Final Exam: 2433-005 Friday, May 13, 1:30 - 3:30 pm