Course Outline
Assignments
Review of Derivative
Review of Integrals
7.1 Basic Integration Rules
7.2 Integration by Parts
7.3 Partial Fractions
7.4 Trigonometric Substitution
7.5 Integral Tables
7.6 L'Hopital's Rule
7.8 Improper Integrals
Answer Key for Review Sheet One
Answer Key for Review Sheet Two
Answer Key for Review Sheet Three
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6.4 Arc Length and Surfaces of Revolution
6.5 Work
6.6 Moments, Centers of Mass, and Centroids
8.7 Taylor Polynomials and Approximations
8.8 Power Series
8.10 Taylor and Maclaurin Series
Practice Test ____________________________________________________________
8.1 Sequences
8.2 Series and Convergence
8.3 The Integral Test and p-series
8.4 Comparison of Series
8.5 Alternating Series
8.6 The Ratio and Root Tests
Web-based Tutorials on Series:
http://oregonstate.edu/dept/math/CalculusQuestStudyGuides/SandS/SeriesTests/diverge.html
http://www.math.unh.edu/~jjp/radius/radius.html
http://www.ugrad.math.ubc.ca/coursedoc/math101/notes/series/convergence.html
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9.1 Conics and Calculus
9.2 Plane Curves and Parametric Equations
9.3 Parametric Curves and Parametric Equations
9.4 Polar Coordinates and Polar Graphs
9.5 Area and Arc Length in Polar Coordinates: Example of cardioid formed from a epicycloid- http://www.cut-the-knot.com/Curriculum/Geometry/KineticCardi.shtml
9.6 Polar Equations for Conics and Kepler's Laws
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10.1 Vectors in the plane
10.2 Space Coordinates and Vectors in Space
10.3 The Dot Product of Two Vectors
10.4 The Cross Product of Two Vectors in Space
Answer Key __________________________________________________________
Review for the Final Examination
FINAL EXAMINATION