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David Jerison - MIT
Lec 1 | MIT 18.01 Single Variable Calculus, Fall 2007
Topic:
Calculus
Teacher:
David Jerison
Concepts In This Lecture:
Derivatives - 03:50
Geometric Interpretation of De... - 03:52
Equation of a Tangent Line - 27:06
Binomial Theorem - 45:56
Lec 2 | MIT 18.01 Single Variable Calculus, Fall 2007
Topic:
Calculus
Teacher:
David Jerison
Concepts In This Lecture:
Derivatives - 00:41
Calculating Instantaneous Speed - 08:57
One-Sided Limits - 21:18
Continuity - 27:10
Checking for Continuity - 28:01
Jump Discontinuity - 31:12
Removable Discontinuity - 33:15
Infinite Discontinuity - 37:52
Lec 3 | MIT 18.01 Single Variable Calculus, Fall 2007
Topic:
Calculus
Teacher:
David Jerison
Concepts In This Lecture:
Derivative of Trigonometric Fu... - 02:27
Derivative of Sine - 02:28
Derivative of Sine Intuition - 15:31
Lec 4 | MIT 18.01 Single Variable Calculus, Fall 2007
Topic:
Calculus
Teacher:
David Jerison
Concepts In This Lecture:
Product Rule - 02:28
Quotient Rule - 11:28
Chain Rule - 22:04
Second Derivatives - 33:09
Lec 5 | MIT 18.01 Single Variable Calculus, Fall 2007
Topic:
Calculus
Teacher:
David Jerison
Concepts In This Lecture:
Implicit Differentiation - 01:12
Implicit vs Explicit Functions - 09:08
Derivatives of Inverse Functions - 29:51
Derivative of Arctangent - 36:04
Lec 6 | MIT 18.01 Single Variable Calculus, Fall 2007
Topic:
Calculus
Teacher:
David Jerison
Concepts In This Lecture:
Derivatives of Exponentials - 01:25
Logarithmic Differentiation - 33:41
Lec 7 | MIT 18.01 Single Variable Calculus, Fall 2007
Topic:
Calculus
Teacher:
David Jerison
Concepts In This Lecture:
Logarithmic Differentiation - 08:29
Derivative of Secant - 24:37
Graphing Using Derivatives - 45:14
Lec 9 | MIT 18.01 Single Variable Calculus, Fall 2007
Topic:
Calculus
Teacher:
David Jerison
Concepts In This Lecture:
Linear Approximation - 01:12
Quadratic Approximation - 38:53
Lec 10 | MIT 18.01 Single Variable Calculus, Fall 2007
Topic:
Calculus
Teacher:
David Jerison
Concepts In This Lecture:
Quadratic Approximation - 07:58
Graphing Using Derivatives - 30:34
Lec 11 | MIT 18.01 Single Variable Calculus, Fall 2007
Topic:
Calculus
Teacher:
David Jerison
Concepts In This Lecture:
Graphing Using Derivatives - 01:04
Graphing With No Critical Points - 01:14
Finding Maximums And Minimums - 44:18
Lec 12 | MIT 18.01 Single Variable Calculus, Fall 2007
Topic:
Calculus
Teacher:
David Jerison
Concepts In This Lecture:
Finding Maximums And Minimums - 00:55
Optimization Problems - 18:54
Related Rates - 44:58
Lec 13 | MIT 18.01 Single Variable Calculus, Fall 2007
Topic:
Calculus
Teacher:
David Jerison
Concepts In This Lecture:
Related Rates - 00:23
Newton's Method - 41:06
Lec 14 | MIT 18.01 Single Variable Calculus, Fall 2007
Topic:
Calculus
Teacher:
David Jerison
Concepts In This Lecture:
Newton's Method - 00:39
Newton's Method Failure - 09:23
Mean Value Theorem - 15:48
Geometric Proof of Mean Value ... - 20:25
Linear Approximation vs Mean V... - 35:48
Lec 15 | MIT 18.01 Single Variable Calculus, Fall 2007
Topic:
Calculus
Teacher:
David Jerison
Concepts In This Lecture:
Differentials - 00:52
Antiderivatives - 14:15
Uniqueness of an Antiderivative - 26:42
Lec 16 | MIT 18.01 Single Variable Calculus, Fall 2007
Topic:
Calculus
Teacher:
David Jerison
Concepts In This Lecture:
Differential Equations - 02:00
Separation of Variables - 10:40
Lec 18 | MIT 18.01 Single Variable Calculus, Fall 2007
Topic:
Calculus
Teacher:
David Jerison
Concepts In This Lecture:
Definite Integrals - 00:53
Riemann Sums - 04:00
Lec 19 | MIT 18.01 Single Variable Calculus, Fall 2007
Topic:
Calculus
Teacher:
David Jerison
Concepts In This Lecture:
Fundamental Theorem of Calculus - 01:06
Properties of Integrals - 22:03
U Substitution - 37:05
Lec 20 | MIT 18.01 Single Variable Calculus, Fall 2007
Topic:
Calculus
Teacher:
David Jerison
Concepts In This Lecture:
Fundamental Theorem of Calculus - 00:44
Average Value of a Curve - 03:23
Second Fundamental Theorem of ... - 20:04
Second Fundamental Theorem of ... - 29:42
Lec 21 | MIT 18.01 Single Variable Calculus, Fall 2007
Topic:
Calculus
Teacher:
David Jerison
Concepts In This Lecture:
Second Fundamental Theorem of ... - 01:48
Area Between Curves - 28:26
Area Between Curves with Horiz... - 44:47
Lec 22 | MIT 18.01 Single Variable Calculus, Fall 2007
Topic:
Calculus
Teacher:
David Jerison
Concepts In This Lecture:
Calculating Volume With Integrals - 00:44
Solid of Revolution - 04:11
Disk Method - 05:29
Shell Method - 21:07
Lec 23 | MIT 18.01 Single Variable Calculus, Fall 2007
Topic:
Calculus
Teacher:
David Jerison
Concepts In This Lecture:
Average Value of a Curve - 00:56
Average Value With Respect to ... - 09:13
Weighted Averages - 18:24
Calculating Probability with I... - 38:33
Lec 24 | MIT 18.01 Single Variable Calculus, Fall 2007
Topic:
Calculus
Teacher:
David Jerison
Concepts In This Lecture:
Calculating Probability with I... - 02:30
Riemann Sums - 35:12
Trapezoid Rule - 38:33
Simpson's Rule - 43:45
Lec 25 | MIT 18.01 Single Variable Calculus, Fall 2007
Topic:
Calculus
Teacher:
David Jerison
Lec 27 | MIT 18.01 Single Variable Calculus, Fall 2007
Topic:
Calculus
Teacher:
David Jerison
Concepts In This Lecture:
Integration With Trig Substitu... - 06:20
Integration Using The Half-Ang... - 18:43
Lec 28 | MIT 18.01 Single Variable Calculus, Fall 2007
Topic:
Calculus
Teacher:
David Jerison
Concepts In This Lecture:
Integration With Trig Substitu... - 15:51
Undoing Trig Substitutions - 23:54
Completing the Square in Integ... - 37:56
Lec 29 | MIT 18.01 Single Variable Calculus, Fall 2007
Topic:
Calculus
Teacher:
David Jerison
Concepts In This Lecture:
Partial Fraction Decomposition - 00:31
Cover Up Method (Partial Fract... - 12:59
Partial Fraction Decomposition... - 44:28
Lec 30 | MIT 18.01 Single Variable Calculus, Fall 2007
Topic:
Calculus
Teacher:
David Jerison
Concepts In This Lecture:
Partial Fraction Decomposition - 01:00
Integration By Parts - 19:19
Lec 31 | MIT 18.01 Single Variable Calculus, Fall 2007
Topic:
Calculus
Teacher:
David Jerison
Concepts In This Lecture:
Arc Length - 00:55
Surface Area of a Revolution - 26:08
Surface Area of a Sphere - 32:38
Parametric Form - 40:53
Lec 32 | MIT 18.01 Single Variable Calculus, Fall 2007
Topic:
Calculus
Teacher:
David Jerison
Concepts In This Lecture:
Arc Length - 01:34
Polar Coordinates - 28:15
Lec 33 | MIT 18.01 Single Variable Calculus, Fall 2007
Topic:
Calculus
Teacher:
David Jerison
Concepts In This Lecture:
Converting from Polar to Recta... - 26:30
Lec 35 | MIT 18.01 Single Variable Calculus, Fall 2007
Topic:
Calculus
Teacher:
David Jerison
Concepts In This Lecture:
L'hopital's Rule - 00:37
L'hopital's Rule with Zero to ... - 40:15
Lec 36 | MIT 18.01 Single Variable Calculus, Fall 2007
Topic:
Calculus
Teacher:
David Jerison
Concepts In This Lecture:
Improper Integrals - 06:49
Convergence Tests for Improper... - 31:08
Limit Comparison - 33:22
Lec 37 | MIT 18.01 Single Variable Calculus, Fall 2007
Topic:
Calculus
Teacher:
David Jerison
Concepts In This Lecture:
Improper Integrals - 00:21
Improper Integrals of Second Kind - 00:46
Infinite Series - 18:18
Geometric Series - 21:07
Limit Comparison - 45:28
Lec 38 | MIT 18.01 Single Variable Calculus, Fall 2007
Topic:
Calculus
Teacher:
David Jerison
Concepts In This Lecture:
Power Series - 22:19
Convergent Power Series - 34:09
Taylor's Rule - 39:41
Lec 39 | MIT 18.01 Single Variable Calculus, Fall 2007
Topic:
Calculus
Teacher:
David Jerison
Concepts In This Lecture:
Power Series - 02:25