Study Guide - Final Part 1
All problems are directly from the book. There are a few cases where I have taken the problem in the book and simplified it. There are 26 problems worth 4 points each. This means that there is 104 possible points on the exam (4 bonus points).
- Find the area between two curves.
- Find the volume of rotation using disks or washers.
- Find the volume of rotation using cylindrical shells.
- Find the arclength of a curve.
- Find the area of the surface of revolution.
- Apply Hooke's Law to find the variable force.
- Find the volume of rotation using the First Theorem of Pappus.
- Find an antiderivative.
- Integrate using integration by parts.
- Evaluate an integral involving trigonometric functions.
- Perform trigonometric substitution
- Write the form of a partial fraction decomposition
- Evaluate a limit - concentrate on indeterminant forms and L'Hopital's Rule
- Evaluate an improper integral
- Simplify the ratio of two factorials
- Find the sum of an infinite geometric series
- Apply the Direct Comparison Test
- Find a Maclaurin polynomial
- Find the interval of convergence
- Find the derivative of a power series
- Find the equation of a conic section
- Describe a conic section using the discriminant
- Eliminate a parameter
- Find the derivative of a parametric curve
- Find the area bounded by a polar curve
- Find the polar equation of a conic section
Questions are multiple choice with four parts. Only one part is correct per question, and there are no "None of the Above" questions. Problems are either correct or incorrect. There is no partial credit.