Virtual Math Learning Center

Related Videos

Solving Rational Equations Video 3

Solving an equation that contains rational expressions

Solving Rational Equations Video 1

Solving equations that contain rational expressions

Domain of Combinations of Functions Video 1

Finding the domain of a function with a denominator, square root, and logarithm

Quadratic Equations Video 1

Explaining the standard form for a quadratic equation and the possible number of solutions

Quadratic Equations Video 6

Solving quadratic equations with the quadratic formula and discussing the number of possible solutions

Quadratic Equations Video 7

Explaining when a quadratic equation does not have a real solution

Solving Radical Equations Video 1

Explaining how to solve radical equations and then solving example problems

Solving Radical Equations Video 2

Solving equations with even roots and checking the solutions

Solving Radical Equations Video 4

Solving equations with multiple radicals

Properties of Rational Functions and Expressions Video 10

Performing algebraic operations with rational expressions and simplifying the answer

MATH 140 5.5 Exercise 1

Finding the domain of a piecewise function and evaluating it

WIR1 20B M150 V17

Subtracting rational expressions and simplifying

WIR1 20B M150 V18

Performing operations with rational expressions and simplifying

WIR8 20B M150 V04

Performing operations with rational expressions and simplifying

WIR2 20B M150 V4

Solving an equation using the quadratic formula

WIR2 20B M150 V7

Solving a rational equation and checking the solutions

WIR8 20B M150 V05

Solving a quadratic equation using the quadratic formula

WIR8 20B M150 V03

Finding the domains of expressions

WIR8 20B M150 V11

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

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

Continuity: MATH 151 Problems 1-6

Continuity of Functions and the Intermediate Value Theorem

Cases for Partial Fraction Decomposition

Explaining all four cases of partial fraction decomposition

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

Continuity: MATH 151 Problems 1-6

Continuity of Functions and the Intermediate Value Theorem

Cases for Partial Fraction Decomposition

Explaining all four cases of partial fraction decomposition

WIR2 20B M251 V6

Determining the domain of a three-dimensional vector function

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

Domain Restrictions

Explaining domain restrictions for denominators, even roots, and logarithms

Domain of Combinations of Functions Video 2

Finding the domain of a function with a natural logarithm and denominator

Domain of Radical Functions Video 1

Finding the domain of even and odd roots

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 Form Video 1

Explaining the graph and properties for the parent function of quadratics

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

Properties of Radical Functions and Expressions Video 1

Explaining the general properties of even and odd root functions

Solving Power and Exponential Equations Video 1

Explaining how to solve equations with power and exponential terms

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 1

Discussing parent functions of rational functions and their properties

Properties of Rational Functions and Expressions Video 8

Adding and subtracting rational expressions by finding a common denominator

Properties of Rational Functions and Expressions Video 9

Explaining how to multiply and divide rational expressions

Cases for Partial Fraction Decomposition

Explaining all four cases of partial fraction decomposition

MATH 140 5.2 Exercise 8

Finding the maximum revenue, maximum profit, and break even quantity for given revenue and cost functions

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 8

Solving an equation with exponential functions

MATH 140 5.6 Exercise 6

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

MATH 140 5.3 Exercise 8

Dividing and subtraction rational functions and simplifying the result

MATH 140 5.3 Exercise 9

Computing and simplifying the difference quotient for a rational function

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

MATH 140 5.3 Exercise 4

Adding and simplifying rational functions

MATH 140 5.3 Exercise 5

Subtracting rational functions and then simplifying the result

Absolute Extrema on a Closed Interval

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

WIR1 20B M150 V16

Dividing rational expressions and simplifying

WIR2 20B M150 V5

Solving a quadratic equation by completing the square

WIR2 20B M150 V10

Finding the domains of functions

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

WIR4 20B M150 V24

Solving an equation with logarithmic functions

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

WIR6 20B M150 V12

Solving a trigonometric equation by factoring

WIR8 20B M150 V13

Solving a trigonometric equation

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 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

Inverse Trigonometric Functions: MATH 151 Problems 9-12

Properties and derivatives of inverse trigonometric 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

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

Inverse Trigonometric Functions: MATH 151 Problems 9-12

Properties and derivatives of inverse trigonometric functions

Differentiation and Applications: MATH 151 Problems 1-8

Derivatives of exponential and logarithmic functions and the exponential model

Differentiation and Applications: MATH 151 Problems 1-8

Derivatives of exponential and logarithmic functions and the exponential model

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

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 Riemann sums and the Fundamental Theorem of Calculus

Integration by Substitution: MATH 151 Problems 13 & 14

Examples of integration by substitution

MLC WIR 20B M151 week9 #8b

Evaluating a limit with an indeterminate difference using a common denominator

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

Vectors and Derivatives: MATH 171 Problems 1-3

Using the limit definition to find derivatives of functions and vector functions

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 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

Inverse Trigonometric Functions: MATH 151 Problems 9-12

Properties and derivatives of inverse trigonometric 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

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

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

Inverse Trigonometric Functions: MATH 151 Problems 9-12

Properties and derivatives of inverse trigonometric functions

Differentiation and Applications: MATH 151 Problems 1-8

Derivatives of exponential and logarithmic functions and the exponential model

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

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

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

Work and Average Value: MATH 152 Problems 1-9

Using integrals to solve work problems and find the average value

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 Combinations of Functions Video 3

Finding the domain of a function with a square root in the denominator

Domain of Combinations of Functions Video 4

Finding the domain of a function with a root and a logarithm in the denominator

Domain of Logarithmic Functions Video 1

Finding the domain of a logarithmic function

Domain of Radical Functions Video 2

Finding the domain of functions with even and odd roots

Solving Linear Equations Algebraically Video 2

Solving a linear equation algebraically

Linear Forms Video 2

Discussing properties of linear functions

Linear Graphs Video 1

Discussing the types of linear graphs including horizontal and vertical lines and their properties

Properties of Radical Functions and Expressions Video 2

How to rewrite radical terms as power terms

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

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 2

Explaining the basic properties of logarithmic functions

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

Properties of Rational Functions and Expressions Video 2

Finding horizontal asymptotes for rational functions

Properties of Rational Functions and Expressions Video 3

Explaining how to do polynomial long division

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 6

Explaining basic algebraic operations for fractions

Properties of Rational Functions and Expressions Video 7

How to simplify rational expressions

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 5.2 Exercise 7

Identifying quadratic functions and their properties

MATH 140 5.5 Exercise 3

Graphing a piecewise function

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

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 7

Solving an equation with exponential functions

MATH 140 5.7 Exercise 3

Identifying the parent function and transformations for a given graph

MATH 140 5.3 Exercise 6

Multiplying two rational functions and simplifying the result

MATH 140 5.3 Exercise 7

Dividing rational functions and simplifying the result

MATH 140 5.3 Exercise 10

Finding the difference quotient for a quadratic function

Limit of a Rational Function

Finding the limit of a rational function algebraically

Limit of a Rational Function 2

Finding the limit of a rational function algebraically

Limit at Negative Infinity of a Rational Function

Solving a limit approaching negative infinity for a rational function

Limits at Infinity of a Rational Function

Solving the limits approaching infinity and negative infinity of a rational function

Limits at Infinity of a Rational Function 2

Solving the limits approaching infinity and negative infinity of a rational function

Vertical Asymptotes and Holes of a Rational Function

Finding the holes and vertical asymptotes of a rational function

Continuity of a Function with a Square Root and Logarithm

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

Continuity of a Piecewise Function

Determining where a piecewise function is continuous algebraically

Instantaneous Rate of Change of a Rational Function

Finding the exact value of the instantaneous rate of change

Finding the Derivative of a Rational Function Using the Limit Definition

Using the limit definition to find the derivative of a rational function

Finding the Derivative of a Root Function Using the Limit Definition

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

Finding a Derivative by Simplifying a Rational

Finding the derivative of a rational function by simplifying and using the power rule

Using the Product Rule with an Exponential

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

Using the Quotient Rule on a Rational Function

Finding the derivative of a rational function using the Quotient Rule

Finding Where a Function is Increasing and Decreasing

Determining the intervals where a function is increasing and decreasing

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

Using the Quotient Rule Twice to Find the Second Derivative

Using the quotient rule twice to find the second derivative of a rational function

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 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

Intermediate Value Theorem and Bisection Method

Explaining the Intermediate Value Theorem and the Bisection Method

Intermediate Value Theorem and Bisection Method Example

Using the Intermediate Value Theorem and Bisection Method to approximate the solution of an equation

Higher Derivatives Example 2

Using derivatives to find the velocity and acceleration functions from the position function

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

WIR1 20B M150 V14

Factoring a quadratic

WIR1 20B M150 V15

Factoring a polynomial

WIR8 20B M150 V02

Factoring a quadratic

WIR2 20B M150 V6

Solving a polynomial equation using factoring by grouping

WIR2 20B M150 V8

Determining if an equation represents a function

WIR3 20B M150 V1

Putting a quadratic function in standard form and determining its properties

WIR3 20B M150 V2

Putting a quadratic function in standard form and determining its properties

WIR3 20B M150 V3

Finding the x-intercepts of quadratic functions

WIR8 20B M150 V08

Putting a quadratic function in standard form and determining its properties

WIR3 20B M150 V6

Finding the end behavior of a polynomial

WIR3 20B M150 V7

Finding properties of a polynomial including zeros and end behavior

WIR3 20B M150 V14

Solving a nonlinear inequality

WIR3 20B M150 V16

Solving a nonlinear inequality

WIR3 20B M150 V17

Solving a nonlinear inequality

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

WIR4 20B M150 V5

Solving an equation with an exponential function

WIR8 20B M150 V10

Determining properties of an exponential function

WIR4 20B M150 V7

Determining the properties of a logarithmic function

WIR4 20B M150 V8

Determining the graph of a logarithmic function

WIR4 20B M150 V9

Determining the properties of a logarithmic function

WIR4 20B M150 V10

Determining the graph of a logarithmic function

WIR4 20B M150 V17

Solving an equation with an exponential function

WIR4 20B M150 V18

Solving an equation with an exponential function

WIR4 20B M150 V25

Modeling a population size with an exponential function

WIR6 20B M150 V10

Solving a trigonometric equation

WIR6 20B M150 V11

Solving a trigonometric equation

WIR6 20B M150 V13

Solving a trigonometric equation

WIR6 20B M150 V14

Solving a trigonometric equation

WIR6 20B M150 V15

Solving a trigonometric equation

WIR7 20B M150 V13

Calculating the difference quotient for a rational function

WIR7 20B M150 V14

Calculating the difference quotient for function with a square root

WIR8 20B M150 V15

Calculating the difference quotient for a rational function

WIR2 20B M150 V11

Using a graph to evaluate a function

WIR6 20B M150 V20

Using a double angle formula to solve a trigonometric equation

WIR6 20B M150 V21

Using a double angle formula to solve a trigonometric equation

WIR6 20B M150 V22

Using a double angle formula to solve a trigonometric equation

WIR6 20B M150 V23

Using double angle formulas to evaluate trigonometric functions

Parametric Curves: MATH 151 Problems 1-5

Cartesian equations and parametric equations of curves

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 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

Approximations and Exponentials: MATH 151 Problems 7-14

Approximation and Newton's Method, and limits and derivatives of exponential functions

Limits and Asymptotes: MATH 151 Problems 7-11

Limits at infinity and asymptotes, along with physics applications

Limits and Asymptotes: MATH 151 Problems 7-11

Limits at infinity, asymptotes, and tangent lines

Approximations and Exponentials: MATH 151 Problems 7-14

Approximation and Newton's Method, and limits and derivatives of exponential functions

Mean Value Theorem and Studying the Shape of Curves: MATH 151 Problems 1-6

Mean Value Theorem and properties of a graph

Mean Value Theorem and Studying the Shape of Curves: MATH 151 Problems 1-6

Mean Value Theorem and properties of a graph

Riemann Sums: MATH 151 Problems 1-5

Riemann sums, including approximating areas under curves.

MLC WIR 20B M151 week3 #16

Finding the vertical and horizontal asymptotes for a rational function

MLC WIR 20B M151 week3 #22

Finding the derivative of a function using the limit definition

MLC WIR 20B M151 week4 #1h

Using the Quotient Rule to differentiate a rational function

MLC WIR 20B M151 week6 #11

Using a linear approximation to approximate the value of a function

MLC WIR 20B M151 week7 #4a

Evaluating a limit using L'Hospital's Rule

MLC WIR 20B M151 week9 #10b

Finding the antiderivative of a rational function

MLC WIR 20B M151 week9 #8a

Evaluating a limit using logarithm properties

MLC WIR 20B M151 week10 #6a

Evaluating a a limit from the left for a rational function

MLC WIR 20B M151 week10 #6b

Evaluating the limit of a rational function by factoring and cancelling

MLC WIR 20B M151 week10 #6c

Using L'Hospital's Rule to evaluate a limit representing a derivative at a point

MLC WIR 20B M151 week10 #8a

Evaluating the limit at infinity of a rational function

MLC WIR 20B M151 week10 #24b

Evaluating a definite integral by first simplifying the integrand

Review for the Common Exam: MATH 152 Exam 1 Review Problem 36

Review of partial fractions

Review for the Common Exam: MATH 152 Exam 1 Review Problems 34 & 35

Review of partial fractions

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 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 V85

Converting parametric equations into a Cartesian equation and graphing

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 V2

Integrating a rational function using u-substitution

WIR 20B M152 V3

Integrating a rational function using u-substitution

WIR 20B M152 V4

Integrating a function with a square root using u-substitution

MATH 152: u-Substitution Exercise 3

Using u-substitution to integrate a rational function

MATH 152: Partial Fraction Decomposition Exercise 1

Using partial fraction decomposition to rewrite and then integrate a rational function

MATH 152: Partial Fraction Decomposition Exercise 2

Using partial fraction decomposition to rewrite and then integrate a rational function

MATH 152: Partial Fraction Decomposition Exercise 3

Using partial fraction decomposition to rewrite and then integrate a rational function

MATH 152: Partial Fraction Decomposition Exercise 5

Using partial fraction decomposition to rewrite and then integrate a rational function

MATH 152: Partial Fraction Decomposition Exercise 6

Using partial fraction decomposition to rewrite and then integrate a rational function

Vectors: MATH 171 Problems 1 & 2

Proving associative and scalar multiplication properties for vectors

Vector Functions: MATH 171 Problems 1 & 2

Proving a certain parameterization gives the unit circle and showing vector equations of lines are parallel

Parametric Curves: MATH 151 Problems 1-5

Cartesian equations and parametric equations of curves

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 Common Exam: MATH 151 Exam 3 Review Problems 15-19

Mean Value Theorem and using derivatives to find the shape of curves

Inverse Trigonometric Functions: MATH 171 Problems 4-6

Properties of inverse trig functions and the derivative of arctangent

Limits: MATH 151 Problems 6-20

Evaluating limits of functions

Limits: MATH 151 Problems 6-20

Evaluating limits of functions and using the Squeeze Theorem

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.

Continuity: MATH 171 Problems 6 & 7

Proving a piecewise function and a polynomial are continuous

Approximations and Exponentials: MATH 151 Problems 7-14

Approximation and Newton's Method, and limits and derivatives of exponential functions

Limits and Asymptotes: MATH 151 Problems 7-11

Limits at infinity and asymptotes, along with physics applications

Limits and Asymptotes: MATH 151 Problems 7-11

Limits at infinity, asymptotes, and tangent lines

Higher Order Derivatives: MATH 171 Problems 4-6

Finding a formula for a higher order derivative and a formula for the second derivative of a product

Higher Order Derivatives: MATH 171 Problems 4-6

Finding a formula for a higher order derivative and a formula for the second derivative of a product

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

Mean Value Theorem and Studying the Shape of Curves: MATH 151 Problems 1-6

Mean Value Theorem and properties of a graph

Mean Value Theorem and Studying the Shape of Curves: MATH 151 Problems 1-6

Mean Value Theorem and properties of a graph

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

Calculus I Integration Review: MATH 151

Examples reviewing integration techniques from Calculus I

Review for the Common Exam: MATH 152 Exam 1 Review Problem 36

Review of partial fractions

Review for the Common Exam: MATH 152 Exam 1 Review Problems 34 & 35

Review of partial fractions

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 Using Partial Fractions: MATH 172 Problems 8 & 9

Finding a partial fraction decomposition and integrating using partial fractions

WIR2 20B M251 V7

Finding the limit of a three-dimensional vector function

WIR2 20B M251 V8

Finding a vector equation for the tangent line to a three-dimensional vector function

Creating and Manipulating Symbolic Expressions in Python

Creating symbolic expression in Python and then factoring, expanding, and simplifying the expressions

Using Variables in Python

Defining variables in Python and using the variables in equations

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

Making Linear Functions Video 1

Discussing how to write the equation of a line through two given points

Making Linear Functions Video 2

Writing a linear equation of profit from a business word problem

Solving Linear Equations Algebraically Video 1

Solving a linear equation algebraically and showing how this relates to the graph

Linear Forms Video 1

Explaining the main three forms for linear equations

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

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

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

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

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 Logarithmic Functions and Expressions Video 1

Explaining the terminology and rules of logarithms

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

Functions of Several Variables Exercise V5

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