
MAT 217  Calculus II Credits: 5 Lecture Hours: 5 Lab Hours: 0 Practicum Hours: 0 Work Experience: 0 Course Type: Core Continuation of Calculus I. Topics include applications of integration, integration techniques, L’Hopital’s rule, improper integrals, infinite sequences, series, Taylor and Maclaurin series, the calculus of plane curves, parametric equations and polar equations. Prerequisite: Prerequisite: MAT 211 with a C or better. Competencies
 Solve application problems using calculus
 Use an integral to calculate area between two curves
 Find volume of a solid of revolution using the disk method
 Find volume of a solid of revolution using the shell method
 Calculate arc length using an integral
 Calculate area of a surface of revolution using an integral
 Use an integral to calculate work done by a variable force
 Use integrals to calculate moments and center of mass of a planar lamina
 Use basic techniques of integration
 Calculate certain integrals by integration by parts
 Integrate powers of Sine and Cosine
 Integrate powers of Secant and Tangent
 Integrate by Trig substitution
 Integrate by partial fractions
 Integrate by using tables and other miscellaneous techniques
 Evaluate indeterminate forms
 Identify the basic 0/0 indeterminate form
 Use L.’Hopital’s rule for the 0/0 form
 Identify other indeterminate forms
 Use L.’Hopital’s rule for the other forms
 Integrate improper integrals
 Identify the various types of improper integrals
 Evaluate a given improper integral
 Evaluate infinite series
 Define the limit of an infinite series
 Determine convergence by the integral test
 Determine convergence by the comparison test
 Determine convergence for alternating series
 Define conditional convergence
 Evaluate power series
 Define power series
 Determine the radius of convergence for a power series
 Determine Taylor and Maclaurin series for certain elementary functions
 Differentiate and integrate power series
 Analyze plane curves and 2D geometry
 Evaluate derivatives and integrals of parametric equations
 Calculate arc length for parametric equations using an integral
 Calculate area of surface of revolution for parametric equations using an integral
 Define polar coordinates
 Write the equations relating polar coordinates and rectangular coordinates
 Graph functions represented in polar form
 Determine areas of regions defined by polar form equations
 Calculate slopes and arc lengths for functions specified in polar form
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