# Calculus 2 Homework Problems

The following is a list of worksheets and other materials related to Math 129 at the UA. Your instructor might use some of these in class. You may also use any of these materials for practice. The chapter headings refer to *Calculus*, Sixth Edition by Hughes-Hallett et al. Published by Wiley.

## CHAPTER 7 - Integration

**Derivative and Integral Rules**- A compact list of basic rules. pdf doc**Trig Reference Sheet**- List of basic identities and rules for trig functions. pdf doc**Recognizing Integrals**- Similar looking integrals require different techniques. Determine if algebra or substitution is needed. pdf doc**U-Substitution**- Practice with u-substitution, including changing endpoints. pdf doc**More Substitution**- Substitution in symbolic form. pdf doc**Trig Substitution & Partial Fraction**- These problems cannot be done using the table of integrals in the text. pdf doc**More Trig Sub & Partial Fractions**- These problems should be done without the use of a table of integrals. pdf doc**Integral Table**- Table of integrals. pdf**Complete Square & Division**- Algebra review of completion of the square and long division of polynomials. pdf doc**Integration Tables**- Manipulate the integrand in order to use a formula in the table of integrals. pdf doc**Integration Techniques**- A collection of problems using various integration techniques. pdf doc**Estimation Rules**- Illustrating and using the Left, Right, Trapezoid, Midpoint, and Simpson's rules. pdf doc**More Estimation**- Another worksheet illustrating the estimation of definite integrals. pdf doc**Intro to Improper Integrals**- Introduction to evaluating an improper integral. pdf doc**Improper Integrals**- Recognizing an improper integral and using a value of an integral to find other values. pdf doc**Intro to Comparing Improper Integrals**- General relationships between functions and the idea behind comparison. pdf doc**Improper Integrals by Comparison**- Using comparison to prove an integral converges/ diverges. pdf doc**Improper Integrals by Comparison**- Additional practice. Antiderivatives cannot be expressed in closed form. pdf doc**Evaluating Limits**- Additional practice. Evaluating limits. L'Hopital's Rule. pdf doc

## CHAPTER 8 - Using the Definite Integral

**Intro to Slicing**- How slicing can be used to construct a Riemann sum or definite integral. pdf doc**Slicing a Solid**- Additional practice. Slicing a solid in two ways to find volume. pdf**Geometry**- Additional practice. Find area, volume, and length. Includes using density. pdf doc**More Geometry**- Additional practice. More applications to geometry. pdf doc**Density and Mass**- Using density and slicing to find mass. pdf doc**Physics**- Additional practice. Problems involve work. pdf doc**More Work**- Additional practice. More problems involving work. pdf doc

## CHAPTER 9 - Sequences and Series

**Geometric Series**- Additional practice with geometric series. pdf doc**Integral Test**- Using the integral test to determine if series converge. pdf doc**Convergence Tests**- Additional practice using convergence tests. pdf doc**More Convergence Tests**- A summary of the available convergence tests. pdf doc**Power Series**- Working with power series. pdf doc**More Power Series**- Additional practice finding radius and interval of convergence. pdf doc

## CHAPTER 10 - Approximating Functions Using Series

**Taylor Polynomials & series**- How well do Taylor polynomials approximate functions values? pdf doc**Series Table**- List of Taylor Series for basic functions. pdf**Using Taylor Series**- Different ways to use Taylor series. pdf doc**Taylor Series**- Additional practice. pdf doc**More Taylor Series**- Collection of problems using Taylor series. pdf doc**More Taylor Series**- Additional practice. pdf doc**Complex Numbers**- Algebra of complex numbers and Euler's Form. pdf doc

## CHAPTER 11 - Differential Equations

**Slopefields**- Matching slopefields with differential equations. pdf**Separable Variables**- Using the method of separation of variables to solve differential equations. pdf doc**Differential Equations**- Collection of applications. pdf doc**Models**- Comparing various models including Logistic. pdf doc

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