Math 1710 Spring 2017
Topics and Skills 

By the end of the class students should be able to do, find, and/or explain the following.



 Know the basic definitions and concepts behind
the
following:
 L'Hôpitals Rule
 Techniques of Integration
 Improper Integrals
 Work
 Volumes by Integration
 Arc Length and Areas of Revolution
 Convergence of Series
 Power and Taylor Series
 L'Hôpitals Rule
 Indeterminate forms
 Proper use and notation
 Form to rewrite for L'Hôpitals Rule
 Techniques of Integration
 Parts
 Partial Fractions
 Trigonometric Integrals
 Trigonometric Substitutions
 Improper Integrals
 Numerical Approximations
 Applications of Integration
 Work
 Volumes
 Volumes of Revolution
 Arc Length and Areas of Revolution
 Differential Equations
 Series
 Definition of Series
 Definition of Convergence of Series
 Integral Test for Convergence of Series
 Comparison Test for Convergence of Series
 Ratio and Root Tests for Convergence of Series
 Power Series
 Definition of Power Series
 Radius and Interval of Convergence
 Differential and Integration of Power Series
 Taylor and Maclaurin Series
 Finding Taylor Series Using Derivatives
 Finding Taylor Series Using Other Taylor Series
 Calculators
 Know how to work without a calculator
 Using a calculator for numerical
calculations
 Clearly write out assignments



Jay Treiman: jay.treiman at wmich.edu