Calculus I MathRoom

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 Lessons in the Calculus 1 MathRoom logID File Name Topic Covered caldtbx Whole Course "Toolbox" outline of & notes for Calculus I (science) cald1 algebraic limits algebraic, abs value , one-sided , piecewise defined cald9 limit theorems limits, at infinity, even-odd theorem cald13 trig limits limits of (sin h) / h, (1 - cos h) / h, other trig limits cali5 l'Hopital's Rule finding limits easily with l'Hopital's rule cald3 continuity test for continuity, classic exam question cald8 increments & differentials small changes, increments, differentials cald6a definition of the derivative Newton's quotient, alternative definition of derivative cald6b exponential and log derivatives derivatives of exponential and logarithmic functions cald6 derivative rules with examples differentiation of all kinds of functions cald5 derivative as a rate of change velocity, acceleration, marginal cost, revenue cald5a power, product & quotient rule differentiating with power, product & quotient rule cald5b the chain rule differentiating composite functions with the Chain Rule cald7 implicit & log diff implicit and logarithmic differentiation cald12 Rolle's & Mean Value Theorems Rolle's thm, Mean V. thm for derivatives cald4 curve sketching 1st and 2nd derivative tests to sketch curves cald10 max-min problems optimization, examples with diagrams cald11 related rates problems related rates word problems cald2 antiderivatives antidifferentiation, differential equations Assignments & Review Questions logID File Name Topic Covered precalxr pre-calculus review exercise inequalities, lines and circles equations asgn1 cal I assignment #1 (with solns) limits, piecewise defined limits, continuity asgn2 cal I assignment #2 (with solns) derivatives, implicit, higher order derivatives asgn3 cal I assignment #3 implicit, related rates, differentials, curve sketching asgn3sl assignment #3 Solutions solutions for questions on above asgn4 assignment #4 (with solns) inverse trig functions, derivatives, maximize problem maxmins max/min problems optimization word problems mormaxmins more max/min problems word problems on optimizing (with solutions) asgn5 assignment #5 (with solns) exponential, logarithmic derivatives caldxmsrv cal I Xmas review questions on limits, derivatives, velocity, acceleration, graphs caldxmsrvsl cal I Xmas review solutions solutions for questions on cal I Xmas review Tests & Exams caldtest1 Test #1 Inequalities, Limits, Derivatives caldtest1sl Test #1 Solutions Solutions for questions on test #1 caldtest2 Test # 2 differentials, related rates, optimization, mean value thm, caldtest2sl Test # 2 Solutions Solutions for questions on test # 2 caldtest3 Test # 3 log, exponential & implicit derivatives, graphs, antiderivatives caldtest3sl Test # 3 Solutions Solutions for questions on test # 3 caldfnlxm Final Exam questions on entire course caldfnlxmsl Final Exam Solutions solutions for questions on entire course

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(all content of the MathRoom Lessons © Tammy the Tutor; 2002 - 2005)