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Calculus Study Material
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Video Tutorials under Calculus
(2^ln x)/x Antiderivative Example
Another u-Subsitution Example
AP Calculus BC Exams: 2008 1 A
AP Calculus BC Exams: 2008 1 B
AP Calculus BC Exams: 2008 1 C
AP Calculus BC Exams: 2008 1 D
Calculus BC 2008 2 A
Calculus BC 2008 2 B & C
Calculus BC 2008 2 D
Calculus Graphing with Derivatives Example
Calculus: Derivative of x^(x^x)
Calculus: Derivatives 1
Calculus: Derivatives 2
Calculus: Derivatives 3
Calculus: Derivatives 4: The Chain Rule
Calculus: Derivatives 5
Calculus: Derivatives 6
Calculus: Derivatives 7
Calculus: Derivatives 8
Calculus: Derivatives 9
Calculus: Graphing Using Derivatives
Calculus: Maximum and minimum values on an interval
Closed Curve Line Integrals of Conservative Vector Fields
Curl 1
Curl 2
Curl 3
Definite Integral with Substitution
Definite Integrals (Area Under a Curve) – Part 3
Definite Integrals – Part 2
Definite Integrals – Part 4
Definite Integrals – Part 5
Derivative of a Position Vector Valued Function
Determining a Position Vector-Valued Function for a Parametrization of Two Parameters
Differential of a vector valued function
Divergence 1
Divergence 2
Divergence 3
Double Integrals 1
Double Integrals 2
Double Integrals 3
Double Integrals 4
Double Integrals 5
Double Integrals 6
Epsilon Delta Limit Definition 1
Epsilon Delta Limit Definition 2
Equation of a tangent line
Example of Calculating a Surface Integral – Part 1
Example of Calculating a Surface Integral – Part 2
Example of Calculating a Surface Integral – Part 3
Example of Closed Line Integral of Conservative Field
Exponential Growth
Extreme Derivative Word Problem (Advanced)
Gradient 1
Green’s Theorem Example 1
Green’s Theorem Example 2
Green’s Theorem Proof – Part 1
Green’s Theorem Proof – Part 2
Implicit Differentiation – part 2
Indefinite integrals – part II
Indefinite Integration – Part III
Indefinite Integration – Part IV
Indefinite Integration – Part V
Indefinite Integration – Part VI
Indefinite Integration – Part VII
Inflection Points and Concavity Intuition
Integrals: Trig Substitution 1
Integrals: Trig Substitution 2
Integrals: Trig Substitution 3 (Long Problem)
Introduction to Definite Integrals
Introduction to Differential Equations
Introduction to Limits
Introduction to Parametrizing a Surface with Two Parameters
Introduction to rate-of-change problems
Introduction to the Surface Integral
L’Hopital’s Rule – An Introduction
L’Hopital’s Rule Example 1
L’Hopital’s Rule Example 2
L’Hopital’s Rule Example 3
Ladder rate-of-change problem
Limit Examples – Part 1
Limit Examples – Part 2
Limit Examples – Part 3
Limit Examples with Brain Malfunction on First Problem – Part 4
Line Integral
Line Integral Example 1
Line Integral Example 2 – Part 1
Line Integral Example 2 – Part 2
Line Integrals & Vector Fields
Maxima Minima Slope Intuition
Mean Value Theorem
Monotonicity Theorem
More chain rule and implicit differentiation intuition
More implicit differentiation
More Limits
Optimization Example 4
Optimization with Calculus 1
Optimization with Calculus 2
Optimization with Calculus 3
Parametrization of a Reverse Path
Partial Derivatives
Partial Derivatives 2
Partial Derivatives of Vector-Valued Functions
Path Independence for Line Integrals
Polynomial Approximation of Functions – Part 1
Polynomial Approximation of Functions – Part 2
Polynomial Approximation of Functions – Part 3
Polynomial Approximation of Functions – Part 4
Polynomial Approximation of Functions – Part 5
Polynomial Approximation of Functions – Part 6
Polynomial Approximation of Functions – Part 7
Position Vector Valued Functions
Proof: d/dx(e^x) = e^x
Proof: d/dx(ln x) = 1/x
Proof: d/dx(sqrt(x))
Proof: d/dx(x^n)
Proof: lim (sin x)/x
Proofs of Derivatives of Ln(x) and e^x
Rates-of-change – part 2
Scalar Field Line Integral Independent of Path Direction
Second Example of Line Integral of Conservative Vector Field
Sequences & Series – Part 2
Solid of Revolution – Part 1
Solid of Revolution – Part 2
Solid of Revolution – Part 3
Solid of Revolution – Part 4
Solid of Revolution – Part 5
Solid of Revolution – Part 6
Solid of Revolution – Part 7
Solid of Revolution – Part 8
Squeeze Theorem
Taylor Polynomials
The Indefinite Integral or Anti-derivative
Trig Implicit Differentiation Example
Triple Integrals 1
Triple Integrals 2
Triple Integrals 3
Using a Line Integral to find the Work Done by a Vector Field Example
Vector Field Line Integrals Dependent on Path Direction
Vector Valued Function Derivative Example
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One hundred bushels of corn are to be divided among 100 persons. men get 3 bushels each, women 2 and children 1/2. how many men, women and children are present?