| 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)