Quadratic Form Video 1
Explaining the graph and properties for the parent function of quadratics
Properties of Radical Functions and Expressions Video 1
Author: John Fisk
This video explains the general properties of even and odd root functions by looking at the parent functions \(y=\sqrt{x}\) and \(y=\sqrt[3]{x}\). The properties discussed include the graph, domain, range, and end behavior.
See more videos from this section
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Solving Radical Equations Video 2
Solving equations with even roots and checking the solutions
Properties of Rational Functions and Expressions Video 1
Discussing parent functions of rational functions and their properties
Linear Forms Video 2
Discussing properties of linear functions
Solving Radical Equations Video 4
Solving equations with multiple radicals
Properties of Power and Exponential Expressions Video 4
Properties of exponential growth and decay functions
Properties of Power and Exponential Expressions Video 5
Properties of the exponential function with base e
Properties of Logarithmic Functions and Expressions Video 2
Explaining the basic properties of logarithmic functions
Inverse Trigonometric Functions: MATH 151 Problems 9-12
Properties and derivatives of inverse trigonometric functions
Inverse Trigonometric Functions: MATH 151 Problems 9-12
Properties and derivatives of inverse trigonometric functions
Inverse Trigonometric Functions: MATH 151 Problems 9-12
Properties and derivatives of inverse trigonometric functions
Inverse Trigonometric Functions: MATH 151 Problems 9-12
Properties and derivatives of inverse trigonometric functions
Domain of Combinations of Functions Video 1
Finding the domain of a function with a denominator, square root, and logarithm
Domain of Radical Functions Video 1
Finding the domain of even and odd roots
Domain Restrictions
Explaining domain restrictions for denominators, even roots, and logarithms
Linear Graphs Video 1
Discussing the types of linear graphs including horizontal and vertical lines and their properties
Quadratic Form Video 2
Discussing properties of quadratic functions including the vertex, domain, range, and end behavior
Solving Radical Equations Video 3
Solving equations with odd radicals
Solving Radical Equations Video 1
Explaining how to solve radical equations and then solving example problems
Solving Power and Exponential Equations Video 1
Explaining how to solve equations with power and exponential terms
MATH 140 5.6 #1a
Finding the properties of an exponential function including domain, range, end behavior, and intercepts
MATH 140 5.6 #1b
Finding the properties of an exponential function including domain, range, end behavior, and intercepts
MATH 140 5.6 #1c
Finding the properties of an exponential function including domain, range, end behavior, and intercepts
Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15
Review of limits and derivatives of inverse trigonometric functions
Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15
Review of limits and derivatives of inverse trigonometric functions
Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15
Review of limits and derivatives of inverse trigonometric functions
Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15
Review of limits and derivatives of inverse trigonometric functions
WIR3 20B M251 V1
Finding and sketching the domain of a function of two variables
WIR3 20B M251 V2
Finding and sketching the domain of a function of two variables
Domain of Radical Functions Video 2
Finding the domain of functions with even and odd roots
Domain of Combinations of Functions Video 4
Finding the domain of a function with a root and a logarithm in the denominator
Properties of Radical Functions and Expressions Video 2
How to rewrite radical terms as power terms
Solving Rational Equations Video 2
Solving an equation that contains rational expressions
Solving Rational Equations Video 3
Solving an equation that contains rational expressions
Functions of Several Variables Exercise V5
Sketching the level curves for a function of two variables
MATH 140 WIR7 #2a
Determining the domain and range of a relation and if the relation is a function
MATH 140 WIR7 #2b
Determining the domain and range of a relation and if the relation is a function
MATH 140 WIR7 #2c
Determining the domain and range of a relation and if the relation is a function
MATH 140 WIR7 #6a
Determining the end behavior, real zeros, domain, and y-intercept for a polynomial
MATH 140 WIR7 #6b
Determining the end behavior, real zeros, domain, and y-intercept for a polynomial
MATH 140 WIR7 #6c
Determining the end behavior, real zeros, domain, and y-intercept for a polynomial
MATH 140 WIR7 #6d
Determining the end behavior, real zeros, domain, and y-intercept for a polynomial
MATH 140 WIR7 #6e
Determining the end behavior, real zeros, domain, and y-intercept for a polynomial
MATH 140 5.5 #1
Finding the domain of a piecewise function and evaluating it
MATH 140 5.5 #2
Finding the piecewise-defined function for a given graph along with its domain and range
MATH 140 5.6 #2a
Finding the domain of a function that is a fraction containing an exponential and root
MATH 140 5.6 #2b
Finding the domain of a function that is a fraction containing an exponential and root
MATH 140 5.6 #2c
Finding the domain of a function that is a fraction containing exponentials and a square root
MATH 140 5.7 #1a
Identifying the parent function and transformations for a given graph
MATH 140 5.7 #1b
Identifying the parent function and transformations for a given graph
MATH 140 5.7 #1c
Identifying the parent function and transformations for a given graph
WIR2 20B M150 V10
Finding the domains of functions
WIR8 20B M150 V03
Finding the domains of expressions
WIR2 20B M150 V13
Identifying the parent function and transformations of a function
WIR2 20B M150 V14
Identifying the parent function and transformations of a function
WIR3 20B M150 V7
Finding properties of a polynomial including zeros and end behavior
WIR3 20B M150 V8
Finding properties of a polynomial including zeros and end behavior
WIR3 20B M150 V9
Finding properties of a polynomial including zeros and end behavior
WIR3 20B M150 V10
Using properties of a polynomial to find its graph
WIR3 20B M150 V13
Determining the properties of a rational function and graphing it
WIR8 20B M150 V09
Determining the properties of a rational function and graphing it
WIR3 20B M150 V20
Restricting the domain of a function so it is one-to-one and has an inverse
WIR3 20B M150 V21
Determining algebraically the inverse of a function
WIR3 20B M150 V22
Determining algebraically the inverse of a function
WIR3 20B M150 V23
Determining algebraically the inverse of a function
WIR4 20B M150 V1
Determining properties of an exponential function
WIR4 20B M150 V2
Determining properties of an exponential function
WIR4 20B M150 V3
Determining properties of an exponential function
WIR4 20B M150 V4
Identifying the graph of an exponential function
WIR8 20B M150 V10
Determining properties of an exponential function
WIR4 20B M150 V10
Determining the graph of a logarithmic function
WIR4 20B M150 V8
Determining the graph of a logarithmic function
WIR2 20B M150 V11
Using a graph to evaluate a function
Continuity: MATH 151 Problems 1-6
Continuity of Functions and the Intermediate Value Theorem
Approximations and Exponentials: MATH 151 Problems 7-14
Approximation and Newton's Method, and limits and derivatives of exponential functions
Approximations and Exponentials: MATH 151 Problems 7-14
Approximation and Newton's Method, and limits and derivatives of exponential functions
Studying the Shape of Curves: MATH 151 Problems 2-7
Using derivatives to find properties of graphs
Studying the Shape of Curves: MATH 151 Problems 2-7
Using derivatives to find properties of graphs
Volume (Disks, Washers, and by Slicing): MATH 152 Problems 2 & 3
Examples finding a volume using disks, washers, and by slicing
WIR 20B M152 V85
Converting parametric equations into a Cartesian equation and graphing
Vectors and Derivatives: MATH 171 Problems 1-3
Using the limit definition to find derivatives of functions and vector functions
Inverse Trigonometric Functions: MATH 171 Problems 4-6
Properties of inverse trig functions and the derivative of arctangent
Continuity: MATH 151 Problems 1-6
Continuity of Functions and the Intermediate Value Theorem
Approximations and Exponentials: MATH 151 Problems 7-14
Approximation and Newton's Method, and limits and derivatives of exponential functions
Derivatives and Rates of Change: MATH 171 Problems 1-3
Using the limit definition to find derivatives of functions and vector functions
The Derivative as a Function: MATH 171 Problems 1-3
Using the limit definition to find derivatives of functions and vector functions
Approximations and Exponentials: MATH 151 Problems 7-14
Approximation and Newton's Method, and limits and derivatives of exponential functions
Inverse Trigonometric Functions: MATH 171 Problems 4-6
Properties of inverse trig functions and the derivative of arctangent
Studying the Shape of Curves: MATH 151 Problems 2-7
Using derivatives to find properties of graphs
Studying the Shape of Curves: MATH 151 Problems 2-7
Using derivatives to find properties of graphs
Volume (Disks, Washers, and by Slicing): MATH 152 Problems 2 & 3
Examples finding a volume using disks, washers, and by slicing
WIR2 20B M251 V6
Determining the domain of a three-dimensional vector function
Domain of Logarithmic Functions Video 1
Finding the domain of a logarithmic function
Domain of Combinations of Functions Video 2
Finding the domain of a function with a natural logarithm and denominator
Domain of Combinations of Functions Video 3
Finding the domain of a function with a square root in the denominator
Domain of Rational Functions Video 1
Finding the domain of several rational functions
Domain of Rational Functions Video 2
Finding the domain of a rational function
Domain of Rational Functions Video 3
Explaining how to find any holes and vertical asymptotes of a rational function
Domain of Rational Functions Video 4
Finding the domain of a rational function using factoring
Systems of Two Linear Equations in Two Variables Video 5
Solving a system of two linear equations using a TI-84 calculator
Systems of Two Linear Equations in Two Variables Video 6
Solving a system of two linear equations using a TI-84 calculator
Solving Linear Equations Algebraically Video 1
Solving a linear equation algebraically and showing how this relates to the graph
Solving Linear Equations Algebraically Video 2
Solving a linear equation algebraically
Solving Linear Equations Algebraically Video 3
Solving a linear equation algebraically and showing how this relates to the graph
Systems of Two Linear Equations in Two Variables Video 1
Explaining the format and possible solutions for a system of two linear equations
Making Linear Functions Video 1
Discussing how to write the equation of a line through two given points
Quadratic Equations Video 7
Explaining when a quadratic equation does not have a real solution
Properties of Logarithmic Functions and Expressions Video 3
Expanding logarithmic expressions using logarithm rules
Properties of Logarithmic Functions and Expressions Video 4
Condensing a logarithmic expression into a single logarithm
Solving Logarithmic Equations Video 1
Explaining how to solve logarithmic equations
Solving Logarithmic Equations Video 2
Solving logarithmic equations with a single logarithm term
Solving Logarithmic Equations Video 3
Solving logarithmic equations with multiple logarithm terms
Solving Logarithmic Equations Video 4
Solving logarithmic equations with multiple logarithm terms on both sides
Properties of Rational Functions and Expressions Video 9
Explaining how to multiply and divide rational expressions
Properties of Rational Functions and Expressions Video 10
Performing algebraic operations with rational expressions and simplifying the answer
Solving Rational Equations Video 1
Solving equations that contain rational expressions
Properties of Rational Functions and Expressions Video 4
Finding horizontal asymptotes for rational functions
Properties of Rational Functions and Expressions Video 5
Determining the end behavior and horizontal asymptotes for rational functions
Properties of Rational Functions and Expressions Video 2
Finding horizontal asymptotes for rational functions
Functions of Several Variables Exercise V1
Evaluating and then finding and sketching the domain of a function of two variables
Functions of Several Variables Exercise V2
Finding and sketching the domain of a function of two variables
Functions of Several Variables Exercise V4
Sketching the level curves for a function of two variables
Systems of Two Linear Equations in Two Variables Video 1
Explaining the format and possible solutions for a system of two linear equations
MATH 140 WIR2 #7a
Graphing a line without using technology
MATH 140 WIR2 #7b
Graphing a line without using technology
MATH 140 WIR2 #7c
Graphing a line without using technology
MATH 140 WIR2 #10
Writing a function for the value of an item depreciating linearly over time
MATH 140 WIR3 #13
Finding the solution to a system of linear equations by graphing
MATH 140 WIR4 #3
Graphing the solution set of an inequality with two variables
MATH 140 WIR4 #4
Graphing the solution set of an inequality with two variables
MATH 140 WIR4 #5
Graphing the solution set of system of linear inequalities
MATH 140 WIR7 #3
Using a graph to find specific values of a function
MATH 140 WIR7 #7
Identifying quadratic functions and their properties
MATH 140 WIR 8 Pr 1
Finding the domain, intercepts, asymptotes, and holes of a rational function
MATH 140 WIR 8 Pr 2
Finding the domain, intercepts, asymptotes, and holes of a rational function
MATH 140 WIR 8 Pr 3
Finding the domain, intercepts, asymptotes, and holes of a rational function
Calculus Exam Review (Limits and Continuity/Differentiability): MATH 142
Review of limits, continuity, and differentiability
Calculus Exam Review (Curve Sketching): MATH 142
Using the first and second derivative to sketch the graph of the function
Continuity of Functions: MATH 142
Determining where functions are continuous
Continuity of Functions II: MATH 142
Determining where functions are continuous
Power Rule for Derivatives: MATH 142
Using the power rule to find derivatives
Analyzing Functions IV (Concavity, Inflection Points, Sketching a Graph): MATH 142
Determining concavity and inflection points and sketching the graph
Analyzing Functions (More Curve Sketching): MATH 142
Using Information From the Derivative to Sketch a Graph
Analyzing Functions (Sketching a Graph): MATH 142
Using the Derivative to Sketch the Graph of a Function
Higher Derivatives Example 2
Using derivatives to find the velocity and acceleration functions from the position function
Definition of a Double-Log Plot
Explaining the definition of logarithmic scale and double-log plots
Definition of a Semilog Plot
Explaining the logarithmic scale and a semilog plot
Double-Log Plot Example 1
Using logarithms to transform a power function into a linear function
Semilog Plot Example 1
Using logarithms to transform an exponential function to a linear function
Sandwich Theorem (or Squeeze Theorem)
Explaining the Sandwich (or Squeeze) Theorem with a graphical example
Sandwich Theorem Example
Solving a limit at infinity using the Sandwich (or Squeeze) Theorem
WIR1 20B M150 V9
Simplifying an expression with radicals
WIR1 20B M150 V11
Rationalizing the denominator of a fraction with square roots
WIR1 20B M150 V10
Rationalizing the denominator of a fraction with square roots
WIR2 20B M150 V7
Solving a rational equation and checking the solutions
WIR3 20B M150 V4
Finding the end behavior of a polynomial
WIR3 20B M150 V5
Finding the end behavior of a polynomial
WIR3 20B M150 V6
Finding the end behavior of a polynomial
WIR3 20B M150 V19
Graphically verifying if two functions are inverses
WIR4 20B M150 V7
Determining the properties of a logarithmic function
WIR4 20B M150 V9
Determining the properties of a logarithmic function
WIR4 20B M150 V19
Solving an equation with an exponential function
WIR4 20B M150 V20
Solving an equation with exponential functions by factoring
WIR4 20B M150 V21
Solving an equation with logarithmic functions
WIR4 20B M150 V22
Solving an equation with logarithmic functions
WIR4 20B M150 V23
Solving an equation with logarithmic functions
WIR4 20B M150 V24
Solving an equation with logarithmic functions
WIR8 20B M150 V11
Solving an equation with logarithmic functions
WIR5 20B M150 V13
Determining the properties of a sine function and graphing it
WIR5 20B M150 V15
Determining the properties of a cosine function and graphing it
WIR5 20B M150 V17
Writing the equation for a sine function to match a given graph
WIR5 20B M150 V18
Writing the equation for a cosine function to match a given graph
WIR7 20B M150 V06
Adding and subtracting vectors graphically
WIR7 20B M150 V14
Calculating the difference quotient for function with a square root
WIR6 20B M150 V01
Finding the properties of a transformed tangent function and graphing it
WIR2 20B M150 V12
Determining if a function is even or odd
Parametric Curves: MATH 151 Problems 1-5
Cartesian equations and parametric equations of curves
Vectors and Derivatives: MATH 151 Problems 1-8
Derivatives and vectors with some physics applications
Vectors and Derivatives: MATH 151 Problems 1-8
Derivatives and vectors with some physics applications
Review for the Common Exam: MATH 151 Exam 1 Review Problems 14-25
Review of limits, continuity, and the Intermediate Value Theorem
Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35
Review of the limit definition of a derivative and calculating the derivative
Review for the Common Exam: MATH 151 Exam 2 Review Problems 1-9
Reviewing the chain rule and the derivatives and limits of trigonometric functions
Review for the Common Exam: MATH 151 Exam 2 Review Problems 21-29
Related rates problems, differentials, linear and quadratic approximations
Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35
Review of the limit definition of a derivative and calculating the derivative
Review for the Common Exam: MATH 151 Exam 1 Review Problems 36-40
Review of derivatives and tangent lines to functions and vector equations
Review for Common Exam: MATH 151 Exam 3 Review Problems 15-19
Mean Value Theorem and using derivatives to find the shape of curves
Limits: MATH 151 Problems 6-20
Evaluating limits of functions
Limits: MATH 151 Problems 6-20
Evaluating Limits of Functions
Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35
Review of the limit definition of a derivative and calculating the derivative
Review for the Common Exam: MATH 151 Exam 1 Review Problems 36-40
Review of derivatives and tangent lines to functions and vector equations
Differentials and Approximations: MATH 151 Problems 1-6
Differentials, linear approximations and quadratic approximations
Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35
Review of the limit definition of a derivative and calculating the derivative
Review for the Common Exam: MATH 151 Exam 1 Review Problems 36-40
Derivatives and tangents to curves
Vectors and Derivatives: MATH 151 Problems 1-8
Derivatives and vectors with some physics applications
Differentiation and Applications: MATH 151 Problems 1-8
Derivatives of exponential and logarithmic functions and the exponential model
Vectors and Derivatives: MATH 151 Problems 1-8
Derivatives and vectors with some physics applications
Differentiation and Applications: MATH 151 Problems 1-8
Derivatives of exponential and logarithmic functions and the exponential model
Riemann Sums: MATH 151 Problems 1-5
Riemann sums, including approximating areas under curves.
Riemann Sums and Definite Integrals: MATH 151 Problems 6-12
Using Reimann sums and the Fundamental Theorem of Calculus
Riemann Sums and Definite Integrals: MATH 151 Problems 6-12
Using Reimann sums and the Fundamental Theorem of Calculus
Integration by Substitution: MATH 151 Problems 13 & 14
Examples of integration by substitution
MLC WIR 20B M151 week2 #01
Converting parametric equations into a Cartesian equation and graphing
MLC WIR 20B M151 week3 #04
Finding a Cartesian equation for a parametric equation and graphing it
MLC WIR 20B M151 week3 #12
Find the Cartesian form and sketch the graph for the parametric equation of a line
MLC WIR 20B M151 week3 #17
Using the graph of a function to sketch a graph of its derivative
MLC WIR 20B M151 week3 #22
Finding the derivative of a function using the limit definition
MLC WIR 20B M151 week4 #7
Finding the derivatives of compositions of functions from their graphs
MLC WIR 20B M151 week6 #11
Using a linear approximation to approximate the value of a function
MLC WIR 20B M151 week9 #1
Determining the properties of a function from the graph of its derivative
Calculus I Integration Review: MATH 151
Examples reviewing integration techniques from Calculus I
Review for the Common Exam: MATH 152 Exam 1 Review Problems 11-14
Review of work and average value
Review for the Common Exam: MATH 152 Exam 1 Review Problems 1-4
Reviewing u-Substitution
Review for the Common Exam: MATH 152 Exam 3 Review Problem 9
Review of finding the radius and interval of convergence for a power series
Review for the Common Exam: MATH 152 Exam 3 Review Problems 13-18
Review of Taylor and Maclaurin Series and their properties
Review for the Common Exam: MATH 152 Exam 3 Review Problems 19 & 20
Review of Taylor Polynomials and Taylor's Inequality
Taylor Polynomials: MATH 152 Problem 11
Finding a Taylor Polynomial for a function
Integration by Substitution: MATH 151 Problems 13 & 14
Examples of integration by substitution
Area Between Curves: MATH 152 Problem 1(a-f)
Examples finding the area bounded by curves
Volume (the Disk, Washer, and Shell Methods): MATH 152 Problem 1(a-e)
Using the disk, washer, and shell method to find a volume of revolution
Volume (the Disk, Washer, and Shell Methods): MATH 152 Problems 1(f-i) & 2
Finding volume using using disks, washers and the shell method
Work and Average Value: MATH 152 Problems 1-9
Using integrals to solve work problems and find the average value
Integration by Parts: MATH 152 Problems 10-16
Examples using integration by parts
WIR 20B M152 V4
Integrating a function with a square root using u-substitution
WIR 20B M152 V8
Finding the area of a region enclosed by two curves
WIR 20B M152 V10
Finding the area of a region bounded by curves
WIR 20B M152 V16
Finding the volume of a solid of revolution using the washer method
WIR 20B M152 V18
Finding the volume of a solid of revolution using cylindrical shells
WIR 20B M152 V41
Using the comparison test to determine if an improper integral converges or diverges
WIR 20B M152 V42
Using the comparison test to determine if an improper integral converges or diverges
WIR 20B M152 V86
Converting parametric equations into a Cartesian equation and graphing
WIR 20B M152 V87
Converting parametric equations into a Cartesian equation and graphing
WIR 20B M152 V84
Converting parametric equations into a Cartesian equation and graphing
MATH 152: Area Exercise 1
Finding the area of a region bounded by two curves
Parametric Curves: MATH 151 Problems 1-5
Cartesian equations and parametric equations of curves
Vectors and Derivatives (Product Rule): MATH 171 Problems 1-3
Proving facts about the derivatives of vector functions including the product rule
Vectors and Derivatives: MATH 151 Problems 1-8
Derivatives and vectors with some physics applications
Vectors and Derivatives: MATH 151 Problems 1-8
Derivatives and vectors with some physics applications
Review for the Common Exam: MATH 151 Exam 1 Review Problems 14-25
Review of limits, continuity, and the Intermediate Value Theorem
Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35
Review of the limit definition of a derivative and calculating the derivative
Review for the Common Exam: MATH 151 Exam 2 Review Problems 1-9
Reviewing the chain rule and the derivatives and limits of trigonometric functions
Review for the Common Exam: MATH 151 Exam 2 Review Problems 21-29
Related rates problems, differentials, linear and quadratic approximations
Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35
Review of the limit definition of a derivative and calculating the derivative
Review for the Common Exam: MATH 151 Exam 1 Review Problems 36-40
Review of derivatives and tangent lines to functions and vector equations
Review for Common Exam: MATH 151 Exam 3 Review Problems 15-19
Mean Value Theorem and using derivatives to find the shape of curves
Limits: MATH 151 Problems 6-20
Evaluating limits of functions
Limits: MATH 171 Problems 8 & 9
Proving a property of scalar multiplication for limits using the epsilon-delta definition and using the Squeeze Theorem for Limits.
Limits: MATH 151 Problems 6-20
Evaluating limits of functions and using the Squeeze Theorem
Continuity: MATH 171 Problems 6 & 7
Proving a piecewise function and a polynomial are continuous
Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35
Review of the limit definition of a derivative and calculating the derivative
Review for the Common Exam: MATH 151 Exam 1 Review Problems 36-40
Review of derivatives and tangent lines to functions and vector equations
Differentials and Approximations: MATH 151 Problems 1-6
Differentials, linear approximations, and quadratic approximations
Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35
Review of the limit definition of a derivative and calculating the derivative
Review for the Common Exam: MATH 151 Exam 1 Review Problems 36-40
Review of derivatives and tangent lines to functions and vector equations
Vectors and Derivatives: MATH 151 Problems 1-8
Derivatives and vectors with some physics applications
Differentiation and Applications: MATH 151 Problems 1-8
Derivatives of exponential and logarithmic functions and the exponential model
Studying the Shape of Curves: MATH 171 Problems 1-3
What the derivatives of a function tell us about the shape of its graph
L'Hospital's Rule: MATH 171 Problems 7-9
Proving L'Hospital's Rule and using it to evaluate limits
Optimization: MATH 171 Problems 1-3
Optimizing values in word problems
Riemann Sums: MATH 151 Problems 1-5
Riemann sums, including approximating areas under curves.
Definite Integrals: MATH 171 Problems 5-9
The definition and properties of definite integrals
Riemann Sums and Definite Integrals: MATH 151 Problems 6-12
Using Reimann sums and the Fundamental Theorem of Calculus
Fundamental Theorem of Calculus: MATH 171 Problems 1-3
Proving and then applying the Fundamental Theorem of Calculus
Riemann Sums and Definite Integrals: MATH 151 Problems 6-12
Using Reimann sums and the Fundamental Theorem of Calculus
Integration by Substitution: MATH 151 Problems 13 & 14
Examples of integration by substitution
Calculus I Integration Review: MATH 151
Examples reviewing integration techniques from Calculus I
Review for the Common Exam: MATH 152 Exam 1 Review Problems 11-14
Review of work and average value
Review for the Common Exam: MATH 152 Exam 1 Review Problems 1-4
Reviewing u-Substitution
Review for the Common Exam: MATH 152 Exam 3 Review Problem 9
Review of finding the radius and interval of convergence for a power series
Review for the Common Exam: MATH 152 Exam 3 Review Problems 13-18
Review of Taylor and Maclaurin Series and their properties
Review for the Common Exam: MATH 152 Exam 3 Review Problems 19 & 20
Review of Taylor Polynomials and Taylor's Inequality
Taylor Polynomials: MATH 152 Problem 11
Finding a Taylor Polynomial for a function
Integration by Substitution: MATH 151 Problems 13 & 14
Examples of integration by substitution
Area Between Curves: MATH 152 Problem 1(a-f)
Examples finding the area bounded by curves
Volume (the Disk, Washer, and Shell Methods): MATH 152 Problem 1(a-e)
Using the disk, washer, and shell method to find a volume of revolution
Volume (the Disk, Washer, and Shell Methods): MATH 152 Problems 1(f-i) & 2
Finding volume using using disks, washers and the shell method
Work and Average Value: MATH 152 Problems 1-9
Using integrals to solve work problems and find the average value
Work and Average Value: MATH 152 Problems 1-9
Using integrals to solve work problems and find the average value
Integration by Parts: MATH 152 Problems 10-16
Examples using integration by parts
WIR1 20B M251 V1
Showing how an equation in three dimensional space represents a plane
WIR2 20B M251 V4
Identifying the equation of a hyperboloid and sketching its graph
WIR2 20B M251 V5
Identifying the equation of a cone in three dimensions and sketching its graph
WIR2 20B M251 V8
Finding a vector equation for the tangent line to a three-dimensional vector function
WIR3 20B M251 V3
Sketching the graph of a function of two variables
WIR3 20B M251 V4
Sketching the graph of a function of two variables
WIR3 20B M251 V5
Sketching the level curves of a function of two variables
WIR3 20B M251 V6
Sketching the level curves of a function of two variables
WIR3 20B M251 V7
Describing the level surfaces of a function of three variables
WIR5 20B M251 V6
Evaluating a double integral over a given region
WIR5 20B M251 V7
Evaluating a double integral over a given region
WIR5 20B M251 V8
Evaluating a double integral and sketching the region of integration
WIR5 20B M251 V9
Changing the order of integration for a double integral
WIR5 20B M251 V10
Evaluating a double integral by reversing the order of integration
WIR5 20B M251 V11
Setting up double integrals of Type I and II to give the volume of a solid under a surface
WIR6 20B M251 V1
Evaluating a double integral over a circular region by changing to polar coordinates
WIR6 20B M251 V2
Evaluating a double integral by changing to polar coordinates
WIR6 20B M251 V3
Evaluating a double integral by changing to polar coordinates
WIR6 20B M251 V4
Converting a double integral to a double integral in polar coordinates
WIR6 20B M251 V5
Writing an iterated integral in polar coordinates that gives the volume of the solid that lies below a paraboloid
WIR6 20B M251 V6
Writing an iterated integral in polar coordinates that gives the volume of the solid bounded by a cone
WIR6 20B M251 V7
Writing an a triple integral over a given solid as an iterated integral
WIR6 20B M251 V8
Evaluating a triple integral over a solid bounded by given surfaces
WIR6 20B M251 V9
Writing an iterated integral that gives the volume of a solid
WIR7 20B M251 V1
Evaluating a triple integral over a solid bounded by elliptic paraboloids
WIR7 20B M251 V2
Writing a triple integral as an iterated integral in cylindrical coordinates
WIR7 20B M251 V3
Converting an iterated triple integral into cylindrical and spherical coordinates
WIR7 20B M251 V4
Using an iterated integral in spherical coordinates to find the volume of a solid
WIR7 20B M251 V5
Evaluating a triple integral for a given solid by writing an iterated integral in spherical coordinates
Finding and Graphing Tangent Lines to a Curve in Python
Using Python to find the equation of the tangent line to a curve and graphing the result
Implicit Plots and Implicit Differentiation in Python
Using Python to plot an implicit curve and find a tangent line using implicit differentiation
List Comprehension and Numerical, Graphical, and Symbolic Limits in Python
Using Python to numerically estimate a limit, graphically estimate a limit, and find the exact limit
Parametric Plots and Tangents at a Given t-value in Python
Using Python to find the tangent line to a parametric equation and plot the two graphs
Plotting Multiple Expressions in One Graph in Python
Graphing a piecewise function using Python
Using Variables in Python
Defining variables in Python and using the variables in equations
Word Problems and the Algorithmic Process for Multistep Problem Solving in Python
Solving a multistep word problem in Python and graphing the resulting function
Changing Order of Integration for Iterated Integrals
Evaluating iterated integrals over the same region but with different orders of integration
Determining the Iterated Integral for a Given Region
Writing and then solving an iterated integral for a given region
Splitting a Domain Into Two Pieces for a Double Integral
Evaluating a double integral over a given region by splitting it into two double integrals
Using Double Integrals to Compute Mass and Weight
Using double integrals to calculate the weight of a plate given its density and size
Making Linear Functions Video 2
Writing a linear equation of profit from a business word problem
Systems of Two Linear Equations in Two Variables Video 2
Solving a system of linear equations with two variables
Systems of Two Linear Equations in Two Variables Video 3
Solving a system of two linear equations with two variables using the elimination method
Systems of Two Linear Equations in Two Variables Video 4
Solving a system of two linear equations using a TI-84 calculator
Linear Forms Video 1
Explaining the main three forms for linear equations
Quadratic Equations Video 1
Explaining the standard form for a quadratic equation and the possible number of solutions
Quadratic Equations Video 2
Solving quadratic equations with the difference of two squares formula
Quadratic Equations Video 3
Solving quadratic equations by factoring
Quadratic Equations Video 4
Solving a quadratic equation by factoring
Quadratic Equations Video 5
Solving a quadratic equation by factoring
Quadratic Equations Video 6
Solving quadratic equations with the quadratic formula and discussing the number of possible solutions
Properties of Power and Exponential Expressions Video 1
Properties of exponents applied to power and exponential expressions
Properties of Power and Exponential Expressions Video 2
Properties of multiplying and simplifying power and exponential expressions
Properties of Power and Exponential Expressions Video 3
Properties of exponents applied to power and exponential expressions
Properties of Power and Exponential Expressions Video 6
Simplifying power and exponential expressions using properties of exponents
Properties of Power and Exponential Expressions Video 7
Simplifying power and exponential expressions using properties of exponents
Properties of Power and Exponential Expressions Video 8
Simplifying power and exponential expressions using properties of exponents
Properties of Power and Exponential Expressions Video 9
Simplifying an expression with both power and exponential functions using properties of exponents
Solving Power and Exponential Equations Video 2
Solving equations with exponential terms
Solving Power and Exponential Equations Video 3
Solving equations with base e exponential terms
Properties of Logarithmic Functions and Expressions Video 1
Explaining the terminology and rules of logarithms
Properties of Rational Functions and Expressions Video 3
Explaining how to do polynomial long division
Properties of Rational Functions and Expressions Video 6
Explaining basic algebraic operations for fractions
Properties of Rational Functions and Expressions Video 7
How to simplify rational expressions
Properties of Rational Functions and Expressions Video 8
Adding and subtracting rational expressions by finding a common denominator
Functions of Several Variables Exercise V3
Sketching the level curves for a function of two variables
Functions of Several Variables Conceptual V1
Introducing functions of several variables and level curves
Euler Circuits Example 10
Determining if a list of vertices in a graph is a path, a circuits, an Euler path, an Euler circuit, or none of the above
What is a Graph?
Explaining that a graph is a collection of vertices and edges
Euler Circuits Example 1
Drawing a graph to depict a bus route
Euler Circuits Example 2
Counting the vertices and edges from a graph
Euler Circuits Example 3
Identifying the adjacent vertices in a graph
Euler Circuits Example 4
Finding two different paths between vertices in a graph
Euler Circuits Example 5
Determining if a list of vertices in a graph is a path, circuit, Euler path, Euler circuit, or none of the above
Euler Circuits Example 6
Determining if a list of vertices in a graph is a path, a circuits, an Euler path, an Euler circuit, or none of the above
Euler Circuits Example 7
Determining if a list of vertices in a graph is a path, a circuits, an Euler path, an Euler circuit, or none of the above
Euler Circuits Example 8
Determining if a list of vertices in a graph is a path, a circuits, an Euler path, an Euler circuit, or none of the above
Euler Circuits Example 9
Determining if a list of vertices in a graph is a path, a circuits, an Euler path, an Euler circuit, or none of the above
Finding Euler Circuits
Explaining Euler's Theorem on when a graph has an Euler path or Euler circuit
Finding Euler Circuits Example 1
Finding the valence of each vertex in a graph
Hamiltonian Circuits
Explaining Hamiltonian Circuits and paths, the Method of Trees to find them, and the number of Hamiltonian circuits for complete graphs
Hamiltonian Circuits Example 1
Determining if a graph has a Hamiltonian path, Hamiltonian Circuit, or neither
Hamiltonian Circuits Example 2
Determining if a graph has a Hamiltonian path, Hamiltonian Circuit, or neither
Hamiltonian Circuits Example 3
Determining if a graph has a Hamiltonian path, Hamiltonian Circuit, or neither
Hamiltonian Circuits Example 4
Determining if a graph has a Hamiltonian path, Hamiltonian Circuit, or neither
Hamiltonian Circuits Example 5
Using the method of trees to find all Hamiltonian circuits of a graph starting at a given vertex
Hamiltonian Circuits Example 8
Determining if a graph is a complete graph
Hamiltonian Circuits Example 9
Determining if a graph is a complete graph
Hamiltonian Circuits Example 10
Determining if a graph is a complete graph
Hamiltonian Circuits Example 11
Determining if a graph is a complete graph
Minimum-Cost Spanning Trees Example 1
Finding two spanning trees for a graph
Functions of Several Variables Conceptual V1
Introducing functions of several variables and level curves
Graphs for Data
Explanation of graphs for data and which are appropriate for categorical or numerical data
Measures of Spread
Finding the range, IQR, standard deviation, and variance for a given set of data