M1272FinalExamReviewGuideS2010 - Math 1272(Calculus II What...

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Math 1272 (Calculus II) What to Review for the Final Exam Spring 2010 Section headings in boldface will be important to review; those in plain face will not be covered on the exam . 7.1 Integration by Parts 7.2 Trigonometric Integrals 7.3 Trigonometric Substitution 7.4 Integration of Rational Functions by Partial Fractions 7.5 Strategy for Integration 7.6 Integration Using Tables 7.7 Approximate Integration -- know how to set up a numerical integration by the Midpoint Rule, Trapezoid Rule, and Simpson’s Rule 7.8 Improper Integrals 8.1 Arc Length 8.2 Area of a Surface of Revolution 8.3 Applications 9.1 Modeling with Differential Equations 9.2 Direction Fields and Euler’s Method 9.3 Separable Differential Equations 10.1 Curves Defined by Parametric Equations 10.2 Calculus with Parametric Curves 10.3 Polar Coordinates 10.4 Areas and Lengths in Polar Coordinates 11.1 Sequences 11.2 Series 11.3 The Integral Test and Estimates of Sums 11.4 The Comparison Tests 11.5 Alternating Series 11.6 Absolute Convergence and the Ratio and Root Tests 11.7 Strategy for Testing Series 11.8 Power Series 11.9 Representations of Functions as Power Series 11.10 Taylor and Maclaurin Series -- know how to produce them; know the Maclaurin series for 1/(1 x) , e x , sin x , cos x , tan 1 x , (1 + x) k 11.11 Applications -- know how to write a Taylor polynomial 12.1 Three-dimensional Coordinate Systems -- rectangular coordinates only 12.2 Vectors 12.3 The Dot Product 12.4 The Cross Product 12.5 Equations of Lines and Planes 13.1 Vector Functions and Space Curves 13.2 Derivatives and Integrals of Vector Functions 13.3 Arc Length and Curvature
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Math 1272 (Calculus II) Representative Final Examination Topics This is a list of the topics upon which final exam problems (or parts of problems) have been based, grouped roughly according to the frequency with which they have appeared, as found from surveying the exams from Spring 2005, Fall 2005, Fall 2007, Spring/Fall 2008, Spring and Fall 2009. You should
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M1272FinalExamReviewGuideS2010 - Math 1272(Calculus II What...

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