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• Integration Techniques-we will look at several integration techniques including Integration by Parts, Integrals Involving Trig Functions, Trig Substitutions and Partial Fractions. We will also look at Improper Integrals including using the Comparison Test for convergence/divergence of improper integrals.
• Parametric Equations- We will learn the ideas of parametric equations. We will look at many of the basic calculus ideas(tangent lines,area,arc length and surface area)
• Polar Coordinates-We will learn the ideas of polar coordinates. We will look at many of the basic calculus ideas(tangent lines,area,arc length and surface area)
• Sequences- we will introduce sequences. We discuss whether a sequence converges or diverges,is increasing or if the sequence is bounded decreasing,
• Series- we will introduce Series. We will then define just what an infinite series is and discuss many of the basic concepts involve with series we will discuss if a series will converge or diverge,including many of the test that can be use to determine if a series converges or diverges. We will also discuss using either a Power series or a Taylor series to represent a function and how to find the radius and interval of convergence for this series