Virtual Math Learning Center

Related Videos

Quadratic Form Video 1

Explaining the graph and properties for the parent function of quadratics

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 Exercise 1

Finding the properties of an exponential function including domain, range, end behavior, and intercepts

MATH 140 5.6 Exercise 2

Finding the properties of an exponential function including domain, range, end behavior, and intercepts

MATH 140 5.6 Exercise 3

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 5.1 Exercise 2

Determining the domain and range of a relation and if the relation is a function

MATH 140 5.1 Exercise 3

Determining the domain and range of a relation and if the relation is a function

MATH 140 5.1 Exercise 4

Determining the domain and range of a relation and if the relation is a function

MATH 140 5.2 Exercise 2

Determining the end behavior, real zeros, domain, and y-intercept for a polynomial

MATH 140 5.2 Exercise 3

Determining the end behavior, real zeros, domain, and y-intercept for a polynomial

MATH 140 5.2 Exercise 4

Determining the end behavior, real zeros, domain, and y-intercept for a polynomial

MATH 140 5.2 Exercise 5

Determining the end behavior, real zeros, domain, and y-intercept for a polynomial

MATH 140 5.2 Exercise 6

Determining the end behavior, real zeros, domain, and y-intercept for a polynomial

MATH 140 5.5 Exercise 1

Finding the domain of a piecewise function and evaluating it

MATH 140 5.5 Exercise 2

Finding the piecewise-defined function for a given graph along with its domain and range

MATH 140 5.6 Exercise 4

Finding the domain of a function that is a fraction containing an exponential and root

MATH 140 5.6 Exercise 5

Finding the domain of a function that is a fraction containing an exponential and root

MATH 140 5.6 Exercise 6

Finding the domain of a function that is a fraction containing exponentials and a square root

MATH 140 5.7 Exercise 1

Identifying the parent function and transformations for a given graph

MATH 140 5.7 Exercise 2

Identifying the parent function and transformations for a given graph

MATH 140 5.7 Exercise 3

Identifying the parent function and transformations for a given graph

Continuity of a Piecewise Function

Determining where a piecewise function is continuous algebraically

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

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 2.1 Exercise 7

Graphing a line without using technology

MATH 140 2.1 Exercise 8

Graphing a line without using technology

MATH 140 2.1 Exercise 9

Graphing a line without using technology

MATH 140 2.2 Exercise 1

Writing a function for the value of an item depreciating linearly over time

MATH 140 Exam 1 Review #13

Finding the solution to a system of linear equations by graphing

Math 140 3.2 Video 1

Explaining how to graph linear inequalities

MATH 140 3.2 Exercise 3

Graphing two linear inequalities

Math 140 3.2 Exercise 8

Sketching the solution set and finding the corner points for a system of linear inequalities

MATH 140 3.2 Exercise 1

Graphing the solution set of an inequality with two variables

MATH 140 3.2 Exercise 2

Graphing the solution set of an inequality with two variables

MATH 140 3.2 Exercise 4

Graphing the solution set of system of linear inequalities

MATH 140 5.1 Exercise 5

Using a graph to find specific values of a function

MATH 140 5.2 Exercise 7

Identifying quadratic functions and their properties

MATH 140 5.3 Exercise 1

Finding the domain, intercepts, asymptotes, and holes of a rational function

MATH 140 5.3 Exercise 2

Finding the domain, intercepts, asymptotes, and holes of a rational function

MATH 140 5.3 Exercise 3

Finding the domain, intercepts, asymptotes, and holes of a rational function

Evaluating Limits from a Graph

Finding limits from the graph of a piecewise function

Where the Graph of a Function is Not Continuous

Determining where a piecewise function is continuous from its graph

Continuity of a Function with a Cube Root

Finding where a function with a fraction and cube root is continuous

Continuity of a Function with a Square Root and Logarithm

Determining where a function with a fraction, square root, and logarithm is continuous

Finding the Derivative of a Root Function Using the Limit Definition

Using the limit definition to find the derivative of a square root function

Determining Where the Derivative Exists From a Graph

Determining where the derivative of a function does not exist from a graph

Using the Product Rule with an Exponential

Finding the derivative of a function with a square root and exponential using the Product Rule

Using Implicit Differentiation to Find a Derivative

Using implicit differentiation to find the derivative of a function

Increasing and Decreasing and Local Extrema

Finding the intervals where a function is increasing/decreasing and the local extrema

Increasing and Decreasing and Local Extrema for a Revenue Function

Finding intervals of increase/decrease and the local extema for revenue from a word problem

Inflection Points and Intervals of Concavity for an Exponential Function

Finding the intervals of concavity and inflection points for a function with exponentials

Inflection Points and Intervals of Concavity from a Graph

Determining the intervals of concavity and inflection points from the graph of a function

Using the Second Derivative Test to Find Local Extrema

Using the second derivative test to find local extrema for a function

Absolute Extrema on a Closed Interval

Finding the absolute maximum and minimum of a rational function on two closed intervals

Absolute Extrema on a Closed Interval 2

Finding the absolute maximum and absolute minimum of a rational function on two closed intervals

Finding the Price to Maximize Profit

Finding the selling price of trucks to maximize profit given the cost and price-demand functions

Finding the Box with the Largest Volume

Finding the dimensions of the box with the largest volume given the amount of material to make the box

Minimizing the Cost of a Box

Finding the minimum cost of a box given the volume and cost of materials

u-Substitution With a Quotient and a Root

Solving an indefinite integral with a cube root in the denominator using u-substitution

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

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

Linear Forms Video 1

Explaining the main three forms for linear equations

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

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 Conceptual V1

Introducing functions of several variables and level curves

Functions of Several Variables Exercise V3

Sketching the level curves for a function of two variables

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

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

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