|
Chapter |
Section |
Examples |
|
1
Limits and Continuity |
1.2 The Concept of limit |
· http://www.calculus-help.com/funstuff/tutorials/limits/limit01.html
|
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1.3 Computation of Limits |
· http://www.metacafe.com/watch/yt-o7GLWMXq7jo/an_example_of_limits/
· http://www.calculus-help.com/funstuff/tutorials/limits/limit02.html
· http://www.calculus-help.com/funstuff/tutorials/limits/limit03.html
· http://www.calculus-help.com/funstuff/tutorials/limits/limit04.html |
|
1.4 Continuity and Consequences |
· http://www.calculus-help.com/funstuff/tutorials/limits/limit05.html |
|
1.5 Limits Involving infinity and asymptotes |
· http://www.calculus-help.com/funstuff/tutorials/limits/limit06.html |
|
1.6 Formal definition of the limit |
· http://www.calculus-help.com/funstuff/phobe.html |
|
2
Differentiation |
2.2 The Derivative |
· http://www.calculus-help.com/funstuff/tutorials/derivatives/deriv01.html http://www.calculus-help.com/funstuff/tutorials/derivatives/deriv01.html |
|
2.3 The power rule |
· http://www.calculus-help.com/funstuff/tutorials/derivatives/deriv02.html |
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2.4 Product Rule and Quotient Rule |
· http://www.calculus-help.com/funstuff/tutorials/derivatives/deriv03.html
· http://www.calculus-help.com/funstuff/tutorials/derivatives/deriv04.html
|
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2.5 Chain Rule |
· http://www.calculus-help.com/funstuff/tutorials/derivatives/deriv05.html |
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2.6 Derivatives of Trigonometric Functions |
· http://www.metacafe.com/watch/yt-xwODNR77LMk/derivatives_of_trig_functions/ |
|
2.7 Derivatives of Exponential and logarithmic Functions |
· http://www.metacafe.com/watch/yt-OjnOgoEu6CM/derivatives_of_exponential_functions/ |
|
2.8 Implicit Differentiation |
· http://www.metacafe.com/watch/yt-sL6MC-lKOrw/implicit_differentiation/
· http://www.metacafe.com/watch/yt-23nBGx1avXI/calculus_implicit_differentiation/ |
|
2.9 Mean Value Theorem |
· http://www.metacafe.com/watch/yt-yzYGnwxAT5s/lecture_25_mean_value_theorem/ |
|
3
Applications of Differentiation
|
3.2 Indeterminate Forms (0/0 , ∞/∞,0×∞) |
· http://www.metacafe.com/watch/yt-kEnwac_9lyg/lhospitals_rule_indeterminate_powers/
· http://www.metacafe.com/watch/yt-RVswT6cSzvc/calculus_basic_limit_and_intro_to_indeterminate_forms/ |
|
3.3 Maximum and Minimum values |
· http://www.metacafe.com/watch/yt-o1LHxfqM2sk/nctu_ocw_4_1_maximum_and_minimum_values/
· http://www.metacafe.com/watch/yt-8XaznDZanes/precalculus_find_maximum_and_minimum_values/ |
|
3.4 Increasing and Decreasing Functions |
· http://www.metacafe.com/watch/yt-t5cEU0h_0to/increasing_and_decreasing_functions/
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3.5 Concavity and the second derivative test. |
· http://www.metacafe.com/watch/yt-qM31Q-YJxYg/3_3a2_increasing_decreasing_functions_and_the_1st_derivative_test_calculus/ |
|
3.6 Curve Sketching |
· http://www.metacafe.com/watch/yt-vOTTuZflAIM/curve_sketching_using_calculus_part_1_of_2/ |
|
3.7 Optimization |
· http://www.metacafe.com/watch/yt-Zq7g1nc2MJ8/optimization_problem_1/ |