18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

Lecture Videos

video
87 MB
Clip: Finale
video
111 MB
Clip 1: Alternate Definition of Natural Log
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109 MB
Clip 1: Antiderivative of 1/x
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103 MB
Clip 1: Area of Part of a Circle
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108 MB
Clip 1: Area Under the Bell Curve
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111 MB
Clip 1: Areas Between Curves
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113 MB
Clip 1: By Horizontal Slices
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111 MB
Clip 1: Comparison of the Harmonic Series
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107 MB
Clip 1: Completing the Square
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103 MB
Clip 1: Curves are Hard, Lines are Easy
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106 MB
Clip 1: Derivative of ax
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110 MB
Clip 1: Derivative of sin(x), Algebraic Proof
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106 MB
Clip 1: Difference Quotient of ax
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100 MB
Clip 1: Differential Equations and Slope, Part 1
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111 MB
Clip 1: Differentiation Formulas
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100 MB
Clip 1: dy/dx=f(x)
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113 MB
Clip 1: Example 1: y=1/x
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106 MB
Clip 1: Example of Estimation
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104 MB
Clip 1: Example: Cumulative Debts
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109 MB
Clip 1: Functions Without Elementary Anti-Derivatives
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109 MB
Clip 1: General Strategy for Graph Sketching
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101 MB
Clip 1: Higher Derivatives
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109 MB
Clip 1: Indefinite Integrals over Singularities
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109 MB
Clip 1: Integral of 1/(xp)
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103 MB
Clip 1: Integral of cos2(x)
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110 MB
Clip 1: Introduction of Product and Quotient Rules
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100 MB
Clip 1: Introduction to Arc Length
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109 MB
Clip 1: Introduction to Comparison
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114 MB
Clip 1: Introduction to Curve Sketching
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104 MB
Clip 1: Introduction to Definite Integrals
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110 MB
Clip 1: Introduction to Differentiation
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108 MB
Clip 1: Introduction to Implicit Differentiation
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109 MB
Clip 1: Introduction to Improper Integrals
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107 MB
Clip 1: Introduction to L'Hospital's Rule
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118 MB
Clip 1: Introduction to Newton's Method
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111 MB
Clip 1: Introduction to Numerical Integration
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100 MB
Clip 1: Introduction to Ordinary Differential
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109 MB
Clip 1: Introduction to Polar Coordinates
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105 MB
Clip 1: Introduction to Power Series
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116 MB
Clip 1: Introduction to Rates of Change
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110 MB
Clip 1: Introduction to Related Rates
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109 MB
Clip 1: L'Hospital's Rule, Continued
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114 MB
Clip 1: List of Approximations
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109 MB
Clip 1: Maxima and Minima Using Graphs
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110 MB
Clip 1: Minimal Surface Area of a Box: Direct Solution
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109 MB
Clip 1: Non-Constant Speed Parametrization
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106 MB
Clip 1: Other Bases
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107 MB
Clip 1: Partial Fractions I
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107 MB
Clip 1: Probability Example
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107 MB
Clip 1: Probability Summary
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109 MB
Clip 1: Proof of the Second Fundamental Theorem of Calculus
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108 MB
Clip 1: Questions on Exam III
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101 MB
Clip 1: Quotient Rule
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109 MB
Clip 1: Remarks on Notation
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108 MB
Clip 1: Review for Test IV
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87 MB
Clip 1: Review of Taylor's Series
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109 MB
Clip 1: Review of the Fundamental Theorem
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103 MB
Clip 1: Review of Trigonometric Identities
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107 MB
Clip 1: Substitution
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106 MB
Clip 1: Substitution When u' Changes Sign
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111 MB
Clip 1: The Bell Curve
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109 MB
Clip 1: The Mean Value Theorem and Linear Approximation
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111 MB
Clip 1: The Most Natural Logarithmic Function
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106 MB
Clip 1: Value of e
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110 MB
Clip 1: Volume of a Cauldron
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110 MB
Clip 1: Volume of a Sphere
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107 MB
Clip 1: Why L'Hospital's Rule Works
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107 MB
Clip 2: Antiderivative of xa
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109 MB
Clip 2: Arclength of Parametric Curves
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108 MB
Clip 2: Area of an Off-Center Circle
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109 MB
Clip 2: Area Under the Bell Curve
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110 MB
Clip 2: Boiling Cauldron: Introduction
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113 MB
Clip 2: By Vertical Slices
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109 MB
Clip 2: Comparison Example
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111 MB
Clip 2: Comparison Tests
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109 MB
Clip 2: Consequences of the Mean Value Theorem
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116 MB
Clip 2: Continuity
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110 MB
Clip 2: Derivative of cos(x)
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100 MB
Clip 2: Differential Equations and Slope, Part 2
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111 MB
Clip 2: Divergent Series
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106 MB
Clip 2: Example: Change of Variables
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101 MB
Clip 2: Example: Dnxn
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100 MB
Clip 2: Example: y=mx
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114 MB
Clip 2: Explaining the Formula by Example
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106 MB
Clip 2: Exponent Review
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105 MB
Clip 2: General Power Series
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113 MB
Clip 2: Geometric Interpretation of Differentiation
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108 MB
Clip 2: Graph of r = sin(2θ)
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111 MB
Clip 2: Improper Integrals of the Second Kind, Continued
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113 MB
Clip 2: Integral of ln(x)2
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107 MB
Clip 2: Integral of Tangent
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107 MB
Clip 2: Integration by "Advanced Guessing"
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101 MB
Clip 2: Introduction to General Rules for Differentiation
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110 MB
Clip 2: Limit of (1-cos(x))/x
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107 MB
Clip 2: Limit of sin(x)/(x2)
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111 MB
Clip 2: Log of a Product
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110 MB
Clip 2: Maximum Area of Two Squares
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110 MB
Clip 2: Minimal Surface Area of a Box: Implicit Differentiation
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109 MB
Clip 2: Proof of the First Fundamental Theorem of Calculus
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107 MB
Clip 2: Quadratic Factors
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100 MB
Clip 2: Separation of Variables
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109 MB
Clip 2: Simple Examples in Polar Coordinates
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110 MB
Clip 2: Solids of Revolution
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105 MB
Clip 2: Stacking Blocks
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87 MB
Clip 2: Taylor's Series of 1/(1 + x)
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109 MB
Clip 2: The Fundamental Theorem and the Mean Value Theorem
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109 MB
Clip 2: The Mean Value Theorem and Inequalities
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108 MB
Clip 2: Types of Riemann Sums
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106 MB
Clip 2: Using the First Fundamental Theorem
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109 MB
Clip 2: Using the Second Fundamental Theorem of Calculus
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108 MB
Clip 3: Asymptotes of Antiderivatives
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107 MB
Clip 3: Average Height with Respect to Arc Length
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107 MB
Clip 3: Boiling Cauldron, Continued
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106 MB
Clip 3: Derivative of xx
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111 MB
Clip 3: Example: Boy Near a Dart Board
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108 MB
Clip 3: Example: y4+xy2-2=0
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111 MB
Clip 3: Examples of Comparison
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109 MB
Clip 3: Graphing a Rational Function
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116 MB
Clip 3: Infinite Discontinuities
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109 MB
Clip 3: Integral of e-x2
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103 MB
Clip 3: Linear Approximation and the Definition of the Derivative
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109 MB
Clip 3: Newton's Method: What Could Go Wrong?
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113 MB
Clip 3: Notation for Derivatives
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111 MB
Clip 3: Notation for Series
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108 MB
Clip 3: Numerical Integration Study Tips
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108 MB
Clip 3: Polar Coordinates and Conic Sections
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101 MB
Clip 3: Product Rule
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103 MB
Clip 3: Question: Can We Use the Original Formula?
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107 MB
Clip 3: The Cover-Up Method
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109 MB
Clip 3: Translating y = 1 into Polar Coordinates
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111 MB
Clip 3: Trapezoidal Rule
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111 MB
Clip 4: An Improper Integral of the Second Kind
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113 MB
Clip 4: Another Reduction Formula
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111 MB
Clip 4: d/dx (ln(sec x))
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113 MB
Clip 4: Example 2: y=xn
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111 MB
Clip 4: Examples of Series
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103 MB
Clip 4: Integral of sin3(x)
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116 MB
Clip 4: Other (Ugly) Discontinuities
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116 MB
Clip 4: Physical Interpretation of Derivatives, Continued
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113 MB
Clip 4: Slope as Ratio
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87 MB
Clip 4: Substitution of Power Series
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107 MB
Clip 4: Summary of Trig Integration
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111 MB
Clip 6: The Derivative of Everything?
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111 MB
Clip 7: Key Concepts in Differentiation

Course Info

Instructor
Departments
As Taught In
Fall 2010
Level
Undergraduate
Topics
Learning Resource Types
Exams with Solutions
Lecture Notes
Lecture Videos
Problem Sets with Solutions
Simulations
Problem-solving Videos
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