El Camino College - Division of Mathematical Sciences

Math 191

Single Variable Calculus and Analytic Geometry II

5 units;5 hours lecture and 10 hours study

Prerequisite:

Mathematics 190 with a minimum grade of C.  

Course Description:

This course includes a study of: methods of integration; applications; improper integrals; numerical integration; infinite sequences, series and power series; parametric equations, polar coordinates and conic sections.

Course Objectives:

1. Use integration to solve application problems involving: areas between curves; volumes by washers and cylindrical shells; arc length and areas of surfaces of revolution.  
2. Evaluate integrals using integration techniques including: integration by parts; trigonometric substitutions; partial fraction decomposition and tables of integrals.
3. Use numerical techniques (both with and without technology) to approximate the values of integrals.  
4. Determine the convergence or divergence of sequences, series and power series.  
5. Solve problems using Taylor series.  
6. Solve problems involving parametric equations, polar coordinates and conic sections.Examples include the graphing of parametric and polar curves and the calculation of the arc length of curves so defined. Additional problems involve the calculation of the area bounded by such curves.

For more information see the Math 191 Course Outline of Record, 2008.