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- Vertical Line Test
- Domain and Range
- Khan Academy: What is a function?
- Khan Academy: Introduction to functions
- Khan Academy: Difference between equations and functions
- Khan Academy: What is the domain of a function?
- Khan Academy: Domain of a function
- Khan Academy: What is the range of a function?

- Precise Definition of the Limit
- Functions and limits
- One-sided Limits Calculus-Limits & Continuity: Definition of the Limit
- One-sided limits and limits involving infinity
- Khan Academy: Introduction to limits
- Khan Academy: Limits by factoring
- Khan Academy: Limits by direct substitution
- Khan Academy: Infinite limits intro
- Khan Academy: Limit examples (part 1
- Khan Academy: Limit examples (part 2)
- Khan Academy: Limit examples (part 3)

- Khan Academy: Limit properties

- Definition of the Derivative
- Khan Academy: Derivative as a concept

- Khan Academy: The graphical relationship between a function & its derivative (part 1)
- Khan Academy: The graphical relationship between a function & its derivative (part 2)
- Khan Academy: Graphs of functions and their derivatives example
- Khan Academy:Connecting f, f', and f'' graphically
- Khan Academy: Figuring out which function is the derivative
- Khan Academy: Identifying a function's derivative example

- Derivative rules and tangent lines
- Khan Academy: Basic derivative rules (Part 1)
- Khan Academy: Basic derivative rules (Part 2)
- Khan Academy: Basic derivative rules: table
- Khan Academy: Basic derivative rules: find the error

- Product Rule, Two Functions
- Khan Academy: Product rule
- Khan Academy: Quotient rule and common derivatives

- Chain Rule with Power Rule Calculus-Derivatives: Chain Rule
- Chain Rule for Multivariable Functions Calculus-Partial Derivatives: Chain Rule
- Chain Rule for Multivariable Functions and Tree Diagrams Calculus-Partial Derivatives: Chain Rule
- Higher derivatives and the chain rule
- Khan Academy: Power rule
- Khan Academy: Chain rule
- Khan Academy: Chain Rule Examples
- Khan Academy:Chain rule proof
- Khan Academy:Chain rule with the power rule
- Khan Academy: Common chain rule misunderstandings
- Khan Academy: Multivariable chain rule

- Higher derivatives and the chain rule
- Higher Order Partial Derivatives
- Khan Academy: Second derivatives
- Khan Academy:Second derivatives (implicit equations): find expressio
- Khan Academy: Connecting f, f', and f'' graphically
- Khan Acacemy: Second derivatives (implicit equations): evaluate derivative

- Implicit Differentiation
- Implicit Differentiation, Equation of the Tangent Line
- Khan Academy: Implicit differentiation
- Khan Academy: Implicit Differentiation
- Khan Academy: Implicit Differentiation (part 2)
- Khan Academy: Worked example: Implicit differentiation
- Khan Academy: Showing explicit and implicit differentiation give same result
- Khan Academy: More implicit differentiation
- Khan Academy:Worked example: Evaluating derivative with implicit differentiation

- Logarithmic Derivatives
- Logarithmic Derivatives Example 2
- Logarithmic Differentiation
- Logarithmic Differentiation Example 2
- Khan Academy Logarithmic functions differentiation
- Khan Academy: Differentiating logarithmic functions using log properties
- Khan Academy: Derivative of natural logarithm
- Khan Academy: Proof: d/dx(ln x) = 1/x
- Khan Academy: Derivative of log with arbitrary base

- Area Under or Enclosed by the Curve Calculus-Integrals: Definite Integrals
- U-Substitution in Definite Integrals Calculus-Integrals: U-Substitution
- Definite integrals and Riemann sums
- Khan Academy:ntroduction to definite integrals
- Khan Academy: Definite integral as the limit of a Riemann sum
- Khan Academy: Finding definite integrals using area formulas
- Khan Academy: Definite integral of rational function
- Khan Academy: Definite integral properties (no graph): breaking interval
- Khan Academy: Worked examples: Definite integral properties 1
- Khan Academy: Worked examples: Definite integral properties 2

- Inverse Functions and Logarithms
- Khan Academy: Derivatives of inverse functions
- Khan Academy: Derivatives of inverse functions: from equation
- Khan Academy: Derivatives of inverse functions: from table

- Khan Academy: Applied rate of change: forgetfulness
- Khan Academy: Introduction to rate-of-change problems
- Khan Academy: Introduction to average rate of change

- Ladder Sliding Down the Wall
- Radius of the Balloon
- Price of the Product
- Water Level in the Rank
- Observer and the Airplane
- Khan Academy: Related rates intro
- Khan Academy: Related rates: Approaching cars
- Khan Acacemy: Analyzing related rates problems: expressions
- Khan Academy: Related rates: water pouring into a cone

- Khan Academy: Calculus: Maximum and minimum values on an interval
- Khan Academy: Critical points introduction
- Khan Academy: Introduction to minimum and maximum points
- Khan Academy:Absolute minima & maxima (entire domain)
- Khan Academy: Multivariable maxima and minima
- Extrema and max/min word problems

- Circles, Center and Radius Calculus-Precalculus: Graphing Functions
- Sketching Graphs Calculus-Applications of Derivatives: Optimization
- Vertical Line Test Calculus-Precalculus: Functions
- Crazy Graphs Calculus-Limits & Continuity: Solving Limits
- Removable Discontinuities Calculus-Limits & Continuity: Continuity
- Curve sketching

- Khan Academy: Graphing with Calculus

- Mean Value Theorem for Derivatives
- Khan Academy: Mean value theorem
- Khan Academy: Mean value theorem example: polynomial
- Khan Academy: Mean value theorem | Derivative applications
- Khan Academy: Mean value theorem application
- Khan Academy: Mean value theorem example: square root function
- Khan Academy: Justification with the mean value theorem: table
- Khan Academy: Conditions for MVT: graph

- Vertical asymptotes
- Horizontal Asymptotes
- Slant Asymptotes
- Sketching Graphs
- Global Extrema of Multivariable Functions
- Critical Points
- Increasing and Decreasing
- Concavity
- First Derivative Test
- Second Derivative Test
- Extrema on a Closed Interval
- Khan Academy: Optimization with Calculus 1
- Khan Academy: Optimization with Calculus 2
- Khan Academy: Optimization with Calculus 3

- Dimensions that Minimize Page Size with a Given Printed Area
- Dimensions of a Rectangle that Minimize its Perimeter
- Two Real Numbers with Minimum Product
- Two Real Numbers with Minimum Sum of Squares
- Point on the Line Closest to Another Point
- Time when Velocity is Minimum
- Dimensions that Maximize the Volume of a Box
- Dimensions that Minimize the Surface Area of an Open Top box
- Width that Minimizes the Surface Area of an Open Top Box
- Dimensions that Maximize the Volume of a Cylinder
- Production Level and Sale Price that Maximize Profit
- Sales Level that Maximizes Revenue
- Khan Academy: Optimization: profit
- Khan Academy: Optimization: cost of materials
- Khan Academy: Optimization: box volume (Part 1)
- Khan Academy: Optimization: box volume (Part 2
- Khan Academy: Optimization: sum of squares

- L'Hospital's Rule
- Khan Academy: Introduction to l'Hôpital's rule
- Khan Academy: L'Hôpital's rule example 1
- Khan Academy: L'Hôpital's rule example 2
- Khan Academy: L'Hôpital's rule example 3
- Khan Academy: Proof of special case of l'Hôpital's rule
- Khan Academy: L'Hopital's Rule to solve for variable
- Khan Academy: Tricky L'Hopital's Rule problem

- Area Under or Enclosed by the Curve
- Trapezoidal Rule
- Khan Academy: Introduction to definite integrals
- Khan Academy: Definite integrals (part II)
- Khan Academy: Definite Integrals (area under a curve) (part III)
- Khan Academy: Definite Integrals (part 4)

- Area Under or Enclosed by the Curve Calculus-Integrals: Definite Integrals
- U-Substitution in Definite Integrals Calculus-Integrals: U-Substitution
- Definite integrals and Riemann sums
- Khan Academy:ntroduction to definite integrals
- Khan Academy: Definite integral as the limit of a Riemann sum
- Khan Academy: Finding definite integrals using area formulas
- Khan Academy: Definite integral of rational function
- Khan Academy: Definite integral properties (no graph): breaking interval
- Khan Academy: Worked examples: Definite integral properties 1
- Khan Academy: Worked examples: Definite integral properties 2

- Khan Academy: Area between a curve and the x-axis

- Part 1 of the FTC
- Khan Academy: Fundamental theorem of calculus (Part 1

- Part 2 of the FTC
- Khan Academy: Fundamental theorem of calculus (Part 2)

- Disks, Vertical Axis
- Washers, Horizontal Axis
- Work Done to Empty a Tank
- Work Done by a Variable Force
- Hydrostatic Pressure
- Vertical Motion
- Rectilinear Motion
- Centroids of Plane Regions
- Single deposit, Compounded Continuously
- Income Stream, Compounded Continuously
- Income Stream, Compounded Continuously, Present Value
- Consumer and Producer Surplus
- Area Between Upper and Lower Curves
- Arc Length of y=f(x)
- Surface Area of Revolution
- Surface of Revolution Equation
- Cylindrical Shells, Vertical Axis
- Cylindrical Shells, Vertical Axis
- Work Done on Elastic Springs
- Single Deposit, Compounded n Times, Future Value

- Integration techniques
- U-Substitution
- Khan Academy: U-substitution intro
- Khan Academy: U-substitution with definite integral
- Khan Academy: U-substitution: definite integrals
- Khan Academy: U-substitution and back substitution

- Integration techniques
- Khan Academy: Introduction to integral calculus

- Area Between Upper and Lower Curves
- Khan Academy: Area between curves
- Khan Academy: Area between curves
- Khan Academy: Area between curves with multiple boundaries

- Khan Academy: Volume with cross sections: intro
- Khan Academy: Volume with cross sections: semicircle
- Khan Academy: Slice a rectangular pyramid
- Khan Academy: Volume with cross sections: triangle
- Khan Academy: Volume with cross sections: squares and rectangles
- Khan Academy: Interpreting graphs with slices

- Khan Academy: Shell method for rotating around vertical line
- Khan Academy: Shell method for rotating around horizontal line
- Khan Academy: Shell method with two functions of y
- Khan Academy: Shell method with two functions of x

- Arc Length of y=f(x)
- Khan Academy: Arc length intro
- Khan Academy: Worked example: arc length
- Khan Academy: Another arc length integration example

- Integration by Parts
- Khan Academy: Integration by parts intro
- Khan Academy:Integration by parts Example 1
- Khan Academy: Integration by parts Example 2
- Khan Academy: Integration by parts: definite integrals
- Khan Academy:Integration by parts of (e^x)(cos x)

- Trigonometric Substitution Setup
- Trigonometric Substitution with Sine
- Trigonometric Substitution with Sine Example 2
- Trigonometric Substitution with Tangent
- Trigonometric Substitution with Tangent Example 2
- Khan Academy: Introduction to trigonometric substitution
- Khan Academy: Introduction to trig substitution
- Khan Academy: Trig substitution with tangent
- Khan Academy:Integrals: Trig Substitution 1
- Khan Academy: Integrals: Trig Substitution 2
- Khan Academy: Integrals: Trig Substitution 3 (long problem)

- Repeated Linear Factors Calculus-Integrals: Partial Fractions
- Repeated Quadratic Factors Calculus-Integrals: Partial Fractions
- Repeated Quadratic Factors. Calculus-Integrals: Partial Fractions Example 2
- Distinct Quadratic Factors. Calculus-Integrals: Partial Fractions Example 2
- Distinct Quadratic Factors. Calculus-Integrals: Partial Fractions Example 3
- Distinct Linear Factors. Calculus-Integrals: Partial Fractions Example 2
- Distinct Linear Factors. Calculus-Integrals: Partial Fractions Example 3
- Khan Academy: Integration with partial fractions
- Khan Academy: Partial fraction expansion to evaluate integral

- Khan Academy:: Introduction to improper integrals
- Khan Academy:: Divergent improper integral
- Khan Academy:: Improper integral with two infinite bounds

- Geometric Series for Repeating Decimals
- Sum of a Telescoping Series
- Limit vs. Sum of the Series
- Maclaurin Series
- Sum of the Geometric Series
- Interval of Convergence: Limits and sums, radius and interval of convergence
- Khan Academy: Sequences and Series (part 1)
- Khan Academy: Sequences and series (part 2)

- Khan Academy: Introduction to arithmetic sequences
- Khan Academy: Introduction to geometric sequence
- Khan Academy: Explicit and recursive definitions of sequences
- Khan Academy: Convergent and divergent sequences
- Khan Academy: Proving a sequence converges using the formal definition
- Khan Academy: Formal definition for limit of a sequence
- Khan Academy: Worked example: sequence explicit formula
- Khan Academy: Worked example: sequence convergence/divergence

- Integral Test Calculus-Sequences & Series: Integral Test
- Khan Academy: Integral test
- Khan Academy: Worked example: Integral test
- Khan Academy: Worked example: sequence convergence/divergence
- Khan Academy: Proof: harmonic series diverges
- Khan Academy: Worked example: divergent geometric series

- Ratio Test
- Ratio Test with Factorials
- Root Test
- Comparison Test
- Limit Comparison Test
- Khan Academy: Ratio test
- Khan Academy: Radius of convergence using Ratio Test
- Khan Academy: Direct comparison test
- Khan Academy: Worked example: direct comparison test
- Khan Academy:Limit comparison test
- Khan Academy: Worked example: limit comparison test

- Alternating Series Test
- Khan Academy: Alternating series test
- Khan Academy: Alternating series remainder
- Khan Academy: Worked example: alternating serie
- Khan Academy: Worked example: alternating series remainder

- Khan Academy: Polynomial approximation of functions (part 1)
- Khan Academy: Polynomial approximation of functions (part 2)
- Khan Academy: Approximating functions with polynomials (part 3)
- Khan Academy: Polynomial approximation of functions (part 4)
- Khan Academy: Polynomial approximations of functions (part 5)
- Khan Academy: Polynomial approximation of functions (part 6)
- Khan Academy: Polynomial approximation of functions (part 7)

- Taylor Series
- Taylor's Inequality
- Khan Academy: Taylor Polynomials

- Khan Academy:Visualizing Taylor series approximations
- Khan Academy: Worked example: recognizing function from Taylor series

- Khan Academy: What is a differential equation
- Khan Academy:Differential equation introduction
- Khan Academy: Writing a differential equation
- Khan Academy:Differential equations (playlist)

- Khan Academy: Creating a slope field
- Khan Academy: Differential equation from slope field
- Khan Academy: Slope field to visualize solutions
- Khan Academy: Euler's method
- Khan Academy: Worked example: Euler's method

- Khan Academy: Separable differential equations introduction
- Khan Academy: Worked example: separable differential equation
- Khan Academy: Worked example: identifying separable equations
- Khan Academy: Worked example: separable differential equation (with taking exp of both sides)
- Khan Academy: Worked example: separable differential equation (with taking log of both sides

- Eliminating the Parameter
- Volume of Revolution of a Parametric Curve
- Surface Area of revolution of a Parametric Curve, Horizontal Axis
- Tangent Line to the Parametric Curve
- Khan Academy: Parametric curves
- Khan Academy: Derivative of a parametric function
- Khan Academy: Partial derivative of a parametric surface, part 1
- Khan Academy: Partial derivative of a parametric surface, part 2
- Khan Academy: Second derivatives (parametric functions)

- Polar Coordinates
- Converting Rectangular Equations: Introduction to Polar Curves
- Sketching Polar Curves
- Converting Polar Equations
- Complex Numbers in Polar Form
- Product of Complex Numbers in Polar Form
- Khan Academy: Polar coordinates 1
- Khan Academy: Polar coordinates 2
- Khan Academy: Polar coordinates 3

- Area Between Polar Curves
- Arc Length of a Polar Curve
- Arc Length of a Polar Curve
- Area Bounded by One loop of a Polar Curve
- Area Inside a Polar Curve
- Surface Area of Revolution of a Polar Curve
- Khan Academy: Polar functions derivatives
- Khan Academy: Worked example: Area between two polar graphs
- Khan Academy:Worked example: differentiating polar functions
- Khan Academy: Area bounded by polar curve

- Khan Academy: Linear Algebra: Introduction to Vectors
- Khan Academy: Adding vectors
- Khan Academy: Vector intro for linear algebra
- Khan Academy: Vector intro for linear algebra
- Khan Academy: Normal vector from plane equation
- Khan Academy: Defining a plane in R3 with a point and normal vector
- Khan Academy: Visualizing a projection onto a plane
- Khan Academy: Point distance to plane
- Khan Academy: Multiplying a vector by a scalar

- Khan Academy: 3d vector fields, introduction
- Khan Academy: 3d vector field example
- Khan Academy: Representing points in 3d

- Dot Products
- Dot Products
- Khan Academy: Vector dot product and vector length

- Cross Product of Two Vectors
- Khan Academy: Cross product introduction
- Khan Academy: Dot vs. cross product
- Khan Academy: Dot and cross product comparison/intuition

- Khan Academy: Position vector valued functions

- Khan Academy: Representing points in 3d
- Khan Academy: 3d vector fields, introduction
- Khan Academy: 3d vector field example
- Khan Academy: Defining a plane in R3 with a point and normal vector

- Khan Academy: Proving vector dot product properties
- Khan Academy: Projection is closest vector in subspace
- Khan Academy: Visualizing a projection onto a plane

- Cross Product of Two Vectors
- Khan Academy: Cross product introduction
- Khan Academy: Dot vs. cross product
- Khan Academy: Dot and cross product comparison/intuition

- Khan Academy: Differential of a vector valued function
- Khan Academy: Second derivatives (vector-valued functions)
- Khan Academy: Vector valued function derivative example
- Khan Academy: Partial derivatives of vector-valued functions
- Khan Academy: Computing the partial derivative of a vector-valued function
- Khan Academy: Derivative of a position vector valued function

- Arc Length of y=f(x)
- Khan Academy: Arc length intro
- Khan Academy: Worked example: arc length
- Khan Academy: Another arc length integration example

- Partial Derivatives in Two Variables
- Partial Derivatives in Three or More Variables
- Higher Order Partial Derivatives Calculus-Partial Derivatives
- Khan Academy: Partial derivatives, introduction
- Khan Academy: Formal definition of partial derivatives
- Khan Academy: Partial derivatives and graphs
- Khan Academy: Partial derivatives
- Khan Academy: Partial derivatives 2
- Khan Academy: Partial derivatives of vector-valued functions
- Khan Academy: Partial derivatives of vector fields
- Khan Academy: Computing the partial derivative of a vector-valued function
- Khan Academy: Partial derivatives of vector fields, component by component

- Chain Rule with Power Rule Calculus-Derivatives: Chain Rule
- Chain Rule for Multivariable Functions Calculus-Partial Derivatives: Chain Rule
- Chain Rule for Multivariable Functions and Tree Diagrams Calculus-Partial Derivatives: Chain Rule
- Higher derivatives and the chain rule
- Khan Academy: Power rule
- Khan Academy: Chain rule
- Khan Academy: Chain Rule Examples
- Khan Academy:Chain rule proof
- Khan Academy:Chain rule with the power rule
- Khan Academy: Common chain rule misunderstandings
- Khan Academy: Multivariable chain rule

- Khan Academy: Directional derivative, formal definition
- Khan Academy: Directional derivative
- Khan Academy: Directional derivatives and slope
- Khan Academy: Multivariable chain rule and directional derivatives
- Khan Academy: Gradient
- Khan Academy: Gradient 1
- Khan Academy: Why the gradient is the direction of steepest ascent
- Khan Academy: Gradient of a scalar field
- Khan Academy: Gradient and graphs

- Linear Approximation in Two Variables
- Khan Academy: What is a tangent plane
- Khan Academy: Computing a tangent plane
- Khan Academy: Local linearizati

- Lagrange Multipliers
- Lagrange Multipliers Example 2
- Khan Academy: Meaning of Lagrange multiplier
- Khan Academy: Proof for the meaning of Lagrange multipliers
- Khan Academy: Lagrange multiplier example, part 1
- Khan Academy: Lagrange multiplier example, part 2
- Khan Academy: Finishing the intro lagrange multiplier example

- Khan Academy: Vector fields, introduction

- Line Integrals
- Khan academy: Introduction to the line integral
- Khan academy: Line integral example 1
- Khan academy: Line integral example 2 (part 1)
- Khan academy: Line integral example 2 (part 2)
- Khan academy: Evaluating line integral directly - part 1
- Khan academy: Evaluating line integral directly - part 2
- Khan academy: Line integrals and vector fields
- Khan Academy: Using a line integral to find the work done by a vector field example
- Khan Academy:Vector field line integrals dependent on path direction
- Khan Academy: Line integrals and Green's theorem
- Khan Academy:Path independence for line integrals

- Khan Academy: Curl 1
- Khan Academy: Curl 2
- Khan Academy: Curl 3
- Khan Academy: 2d curl intuition
- Khan Academy: 3d curl intuition, part 1
- Khan Academy: 3d curl intuition, part 2
- Khan Academy: 3d curl formula, part 1
- Khan Academy: 3d curl formula, part 2
- Khan Academy: 2d curl example
- Khan Academy: 3d curl computation example

- Khan Academy: Introduction to the surface integral
- Khan Academy: Vector representation of a surface integra
- Khan Academy: Example of calculating a surface integral part 1
- Khan Academy: Example of calculating a surface integral part 2
- Khan Academy: Example of calculating a surface integral part 3
- Khan Academy: Surface integral example part 1
- Khan Academy: Surface integral example part 2
- Khan Academy: Surface integral example part 3

- Khan Academy: Stokes' theorem intuition
- Khan Academy: Stokes' theorem intuition
- Khan Academy: Stokes' theorem proof part 1
- Khan Academy: Stokes' theorem proof part 2
- Khan Academy: Stokes' theorem proof part 3
- Khan Academy: Stokes' theorem proof part 4
- Khan Academy: Stokes' theorem proof part 5
- Khan Academy: Stokes' theorem proof part 6
- Khan Academy: Stokes' theorem proof part 7
- Khan Academy: Conditions for stokes theorem
- Khan Academy: Stokes example part 1
- Khan Academy: Stokes example part 2
- Khan Academy: Stokes example part 3
- Khan Academy: Stokes example part 4

- Khan Academy: Divergence 1
- Khan Academy: Divergence 2
- Khan Academy: Divergence 3
- Khan Academy: Divergence notation
- Khan Academy: Divergence theorem proof (part 1)
- Khan Academy: Divergence theorem proof (part 2)
- Khan Academy: Divergence theorem proof (part 3)
- Khan Academy: Divergence theorem proof (part 4)
- Khan Academy: Divergence theorem proof (part 5)
- Khan Academy: 2D divergence theorem
- Khan Academy: Conceptual clarification for 2D divergence theorem
- Khan Academy: Divergence intuition, part 1
- Khan Academy: Divergence intuition, part 2
- Khan Academy: Why we got zero flux in divergence theorem example 1
- Khan Academy: 3D divergence theorem intuition

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