# Math 1710

Spring 2016

Topics and Skills

By the end of the class students should be able to do or explain the following:

 Know the basic definitions and concepts behind the following: The cross product 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 The cross product Definition and calculation Equation of a plane Volume of a parallelepiped L'Hôpitals Rule Indeterminate forms Proper use and notation Forms 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