MSU MTH 133 - Syllabus (2 pages)

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Syllabus



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Syllabus

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School:
Michigan State University
Course:
Mth 133 - Calculus II
Calculus II Documents

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Course alpha number title MTH 133 Calculus II Required or elective Required Course catalog description Application of the integral and methods of integration improper integrals polar coordinates and parametric curves sequences and series power series Prerequisite s MTH 132 or MTH 152H Textbook s and or other required material Thomas Calculus Alternate Edition George B Thomas Jr and Ross L Finney Addison Wesley 2003 Class Lab schedule 4 credit hours 3 lectures 1 recitation week Topics covered 1 Volumes of solids length of curves and work 2 Natural logarithm and its derivative 3 Inverse Function Theorem 4 Exponential function its derivative and integral 5 Growth and decay 6 L H pital s rule and relative rates of growth 7 Inverse trigonometric functions and their derivatives 8 Hyperbolic functions 9 First order separable differential equations 10 Integration by parts 11 Partial fractions 12 Trigonometric substitutions 13 Use of tables and computers to find integrals 14 Improper integrals 15 Limits of sequences 16 Infinite series and the Geometric Series Theorem 17 The Integral Test 18 Comparison Tests 19 The Ratio Test and Absolute convergence 20 Power series and Taylor series 21 Binomial Series Theorem 22 Calculus of parametric equations 23 Polar coordinates and graphing polar equations 24 Integration in polar coordinates Course learning objectives For the student to be able to 1 understand applications of the definite integral 2 compute derivatives and integrals involving logarithmic exponential and inverse trigonometric functions 3 begin to understand differential equations as mathematical modeling 4 use advanced techniques of integration 5 compute limits of sequences 6 determine if an infinite series converges or diverges 7 express known functions as power series 8 express unknown functions as power series and find the radius of convergence of the series 9 express curves as parametric equations and use the equations to compute properties of the curve 10 Plot graphs



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