Math 1230 Spring 2023
Topics and Skills |
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By the end of the class students should be able to do, find, and/or explain the following.
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- 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
- Sequence and Convergence of Sequences
- Infinite Series and Convergence of Series
- Power and Taylor Series
- 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
- Sequences and Series
- Definition of an Infinite Sequence
- Definition of Convergence of Sequences
- Definition of Infinite 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
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Jay Treiman: jay.treiman at wmich.edu