This introductory calculus course covers differentiation and integration of functions of one variable, with applications. Differentiation 1 Derivatives, slope, velocity, rate of change 2 Limits, continuity - Trigonometric limits 3 Derivatives of products, quotients, sine, cosine 4 Chain rule - Higher derivatives 5 Implicit differentiation, inverses 6 Exponential and log - Logarithmic differentiation; hyperbolic functions 7 Hyperbolic functions (cont.) and exam 1 review 8 Exam 1 covering Ses #1-7 (No video) Applications of Differentiation 9 Linear and quadratic approximations 10 Curve sketching 11 Max-min problems 12 Related rates 13 Newton's method and other applications 14 Mean value theorem & Inequalities 15 Differentials, antiderivatives 16 Differential equations, separation of variables 17 Exam 2 covering Ses #8-16 (No video) Integration 18 Definite integrals 19 First fundamental theorem of calculus 20 Second fundamental theorem 21 Applications to logarithms and geometry 22 Volumes by disks and shells 23 Work, average value, probability 24 Numerical integration 25 Exam 3 review 26 Exam 3 covering Ses #18-24 (No video) Techniques of Integration 27 Trigonometric integrals and substitution 28 Integration by inverse substitution; completing the square 29 Partial fractions 30 Integration by parts, reduction formulae 31 Parametric equations, arclength, surface area 32 Polar coordinates; area in polar coordinates 33 Exam 4 review 34 Exam 4 covering Ses #27-33 (No video) 35 Indeterminate forms - L'Hôspital's rule 36 Improper integrals 37 Infinite series and convergence tests 38 Taylor's series 39 Final review
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There is the file containing the list of iFile links. All the links are compatible with RapidShare ones. IFileDr_Mary( Karma:48.58) 18 November 2009 16:18