Algebra - Radical Functions and Equations - Virtual Math Learning Center

Solving Radical Equations Video 1

Explaining how to solve radical equations and then solving example problems

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 9

Simplifying an expression with both power and exponential functions using properties of exponents

Solving Power and Exponential Equations Video 1

Explaining how to solve equations with power and exponential terms

Domain of Combinations of Functions Video 1

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

Domain of Combinations of Functions Video 4

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

Domain Restrictions

Explaining domain restrictions for denominators, even roots, and logarithms

Domain of Radical Functions Video 1

Finding the domain of even and odd roots

Solving Radical Equations Video 2

Solving equations with even roots and checking the solutions

Solving Radical Equations Video 3

Solving equations with odd radicals

Solving Radical Equations Video 4

Solving equations with multiple radicals

Properties of Radical Functions and Expressions Video 1

Explaining the general properties of even and odd root functions

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 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

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

$Math 140 5.4 Exercise 3$

Math 140 5.4 Exercise 3

Rewriting a function with a fractional exponent in radical form

MATH 140 5.5 Exercise 1

Finding the domain of a piecewise function and evaluating it

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 5.6 Exercise 7

Solving an equation with exponential functions

MATH 140 5.6 Exercise 8

Solving an equation with exponential functions

$MATH 140 5.8 Exercise 13$

MATH 140 5.8 Exercise 13

Solving an equation with exponential functions

$MATH 140 5.8 Exercise 14$

MATH 140 5.8 Exercise 14

Solving an equation with a logarithmic function

$MATH 140 5.8 Exercise 15$

MATH 140 5.8 Exercise 15

Solving an equation with several logarithmic functions

$MATH 140 5.8 Exercise 12$

MATH 140 5.8 Exercise 12

Solving an equation an exponential function

Continuity of a Piecewise Function

Determining where a piecewise function is continuous algebraically

Using the Product Rule with an Exponential

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

Higher Derivatives Example 2

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

Semilog Plot Example 2

Writing a non-linear function to represent the line graphed on a semilog plot

Optimization Example 2

Using the second derivative to find the maximum rate of change in a word problem

WIR1 20B M150 V12

Simplifying a fraction containing fractional exponents

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

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

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

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

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

WIR 20B M152 V10

Finding the area of a region bounded by curves

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

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

Differentiation and Applications: MATH 151 Problems 1-8

Derivatives of exponential and logarithmic functions and the exponential model

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 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

Domain of Radical Functions Video 2

Finding the domain of functions with even and odd roots

Domain of Combinations of Functions Video 3

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

Properties of Logarithmic Functions and Expressions Video 1

Explaining the terminology and rules of logarithms

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

Solving Rational Equations Video 2

Solving an equation that contains rational expressions

Solving Rational Equations Video 3

Solving an equation that contains rational expressions

MATH 140 5.6 Exercise 9

Calculating how much to invest with continuously compounded interest

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 5.7 Exercise 2

Identifying the parent function and transformations for a given graph

$MATH 140 5.7 Exercise 5$

MATH 140 5.7 Exercise 5

Identifying the parent function and transformations in order for a given function

$MATH 140 5.8 Exercise 4$

MATH 140 5.8 Exercise 4

Evaluating a logarithm inside an exponential function

$MATH 140 5.8 Exercise 9$

MATH 140 5.8 Exercise 9

Finding the domain of a function containing a logarithm, exponential, radical, and fraction

$MATH 140 5.8 Exercise 11$

MATH 140 5.8 Exercise 11

Finding the domain of a function containing a logarithm, exponential, and fraction

Limits at Infinity of a Fraction with Exponential Functions

Solving the limits approaching infinity and negative infinity with exponential functions in the numerator and denominator

Horizontal Asymptote of a Fraction with Exponential Functions

Finding the horizontal asymptotes of a function that is a fraction with exponentials in the numerator and denominator

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

Finding a Derivative with Exponential Functions and Logarithms

Finding the derivative a function with a power, exponential, and logarithm

The Quotient Rule with an Exponential

Finding the derivative of a fraction with an exponential using the Quotient Rule

Using the Generalized Power Rule

Finding the derivative of a function using the Generalized Power Rule

Using the Generalized Exponential Rule

Using the Generalized Exponential Rule to find the derivative of a function

Using the Chain Rule with a Table

Using the chain rule to find derivates with some values given in a table

Using the Alternate Form of the Chain Rule

Using the alternate form of the Chain Rule to find the derivative

Using Implicit Differentiation to Find a Derivative

Using implicit differentiation to find the derivative of a function

Using Implicit Differentiation to Find a Derivative 2

Using implicit differentiation to find the derivative of a function

Finding an Indefinite Integral

Evaluating an indefinite integral with an exponential

Finding an Indefinite Integral with a Fraction

Solving an indefinite integral by first simplifying the fraction

u-Substitution With an Exponential Function

Solving an indefinite integral with an exponential function suing u-substitution

u-Substitution With a Quotient and Exponentials

Solving an indefinite integral with exponentials in a quotient using u-substitution

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 1

The definition of higher derivatives and solving an example

Derivatives of Exponential Functions

Explaining the formulas for the derivatives of exponential functions

Derivatives of Exponential Functions Example 1

Calculating the derivative of a function with exponentials using the chain and product rule

Derivatives of Exponential Functions Example 2

Calculating a derivative of a quotient with an exponential function

Exponential Growth and Decay in Discrete Time

Explaining exponential functions in discrete time

Exponential Growth in Discrete Time Example

Solving a population example of exponential growth in discrete time

Recursions Example

Solving a population grown example on recurrence equations

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

Double-Log Plot Example 2

Writing a non-linear function for the graph containing two points on a double-log plot

Semilog Plot Example 1

Using logarithms to transform an exponential function to a linear function

WIR1 20B M150 V7

Simplifying a fraction using properties of exponents

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

WIR8 20B M150 V01

Simplifying a fraction with negative exponents

WIR7 20B M150 V14

Calculating the difference quotient for function with a square root

WIR2 20B M150 V10

Finding the domains of functions

WIR8 20B M150 V03

Finding the domains of expressions

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

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 V17

Solving an equation with an exponential function

WIR4 20B M150 V18

Solving an equation with an exponential 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 V25

Modeling a population size with an exponential function

Review for the Common Exam: MATH 151 Exam 3 Review Problems 1-7

Derivatives of exponential functions and the exponential model

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

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

Review for Common Exam: MATH 151 Exam 3 Review Problems 25-30

Antiderivatives and physics applications

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

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

L'Hospital's Rule: MATH 151 Problem 1(a-h)

Using L'Hospital's Rule to solve limits

Riemann Sums: MATH 151 Problems 1-5

Riemann sums, including approximating areas under curves.

MLC WIR 20B M151 week3 #22

Finding the derivative of a function using the limit definition

MLC WIR 20B M151 week4 #1e

Differentiating a function with an exponential function and using the Power Rule

MLC WIR 20B M151 week4 #1f

Using the Product Rule to differentiate a function

MLC WIR 20B M151 week4 #1g

Using the Quotient Rule to differentiate a function

MLC WIR 20B M151 week4 #1j

Using the Product and Quotient Rules to differentiate a function

MLC WIR 20B M151 week4 #2a

Using the Product Rule to find a first and second derivative

MLC WIR 20B M151 week4 #1mn

Using the Chain Rule to differentiate functions with exponential and trigonometric functions

MLC WIR 20B M151 week4 #2b

Using the Chain Rule to find a first and second derivative

MLC WIR 20B M151 week4 #6

Using the Chain Rule to find the pattern for a higher order derivative

MLC WIR 20B M151 week5 #1c

Finding the derivative using implicit differentiation

MLC WIR 20B M151 week5 #7a

Using logarithmic differentiation to find the derivative of a function

MLC WIR 20B M151 week5 #7b

Using logarithmic differentiation to find the derivative of a function

MLC WIR 20B M151 week5 #7c

Using logarithmic differentiation to find the derivative of a function

MLC WIR 20B M151 week6 #1ab

Using the Product and Chain Rule to find several derivatives

MLC WIR 20B M151 week6 #1cd

Using the Product, Quotient and Chain Rules to find several derivatives

MLC WIR 20B M151 week6 #1ef

Using the Quotient and Chain Rules to find several derivatives

MLC WIR 20B M151 week6 #1gh

Using the Product and Chain Rules to differentiate functions with logarithms

MLC WIR 20B M151 week6 #1ij

Differentiating functions with logarithmic and inverse trigonometric functions

MLC WIR 20B M151 week6 #1kl

Differentiating functions with inverse trigonometric functions

MLC WIR 20B M151 week6 #2a

Finding the derivative of an implicit function

MLC WIR 20B M151 week6 #2b

Finding the derivative of an implicit function

MLC WIR 20B M151 week6 #11

Using a linear approximation to approximate the value of a function

MLC WIR 20B M151 week7 #4d

Evaluating a limit using L'Hospital's Rule

MLC WIR 20B M151 week7 #4e

Evaluating a limit with an indeterminate product using L'Hospital's Rule

MLC WIR 20B M151 week7 #4f

Evaluating a limit with an indeterminant difference using L'Hospital's Rule

MLC WIR 20B M151 week7 #4g

Evaluating a limit with an indeterminate power using L'Hospital's Rule

MLC WIR 20B M151 week7 #4h

Evaluating a limit with an indeterminant power using L'Hospital's Rule

MLC WIR 20B M151 week8 #5b

Antidifferentiating twice to find a function from its second derivative

MLC WIR 20B M151 week8 #5c

Antidifferentiating twice to find a function from its second derivative

MLC WIR 20B M151 week8 #5d

Antidifferentiating to find a function from its derivative

MLC WIR 20B M151 week8 #5e

Antidifferentiating twice to find a function from its second derivative

MLC WIR 20B M151 week8 #5f

Antidifferentiating twice to find a function from its second derivative

MLC WIR 20B M151 week8 #6

Using antidifferentiation to find the height of a cliff from the impact speed of a dropped stone

MLC WIR 20B M151 week9 #8c

Evaluating a limit using L'Hospital's Rule

MLC WIR 20B M151 week9 #8d

Evaluating a limit with an indeterminant power using L'Hospital's Rule

MLC WIR 20B M151 week9 #8f

Evaluating a limit with an indeterminant product using L'Hospital's Rule

MLC WIR 20B M151 week9 #10d

Finding the antiderivative of a function and using a function value to find the constant

MLC WIR 20B M151 week10 #8c

Evaluating the limit at infinity of a fraction with exponential functions

MLC WIR 20B M151 week10 #8d

Evaluating the limit at negative infinity of a fraction with exponential functions

MLC WIR 20B M151 week10 #9c

Finding a derivative using the Chain Rule and Product Rule

MLC WIR 20B M151 week10 #19d

Using L'Hospital's Rule to solve a limit with an indeterminant power

MLC WIR 20B M151 week10 #24c

Evaluating a definite integral with an exponential and sine function

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 2 Review Problems 8 & 9

Review of improper integrals and the Comparison Theorem

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

Taylor and Maclaurin Series: MATH 152 Problems 4-10

Finding Taylor and Maclaurin Series for functions

Taylor Polynomials: MATH 152 Problem 11

Finding a Taylor Polynomial for a function

WIR 20B M152 V1

Integrating an exponential function using u-substitution

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 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 V22

Evaluating an integral using integration by parts

WIR 20B M152 V26

Evaluating an integral using integration by parts

WIR 20B M152 V37

Determining if an improper integral converges or diverges

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 V43

Using the comparison test to determine if an improper integral converges or diverges

WIR 20B M152 V53

Determining if a series converges or diverges and find the sum if it converges

WIR 20B M152 V58

Using the comparison test to determine if a series converges or diverges

WIR 20B M152 V59

Using the limit comparison test to determine if a series converges or diverges

WIR 20B M152 V70

Determining if a series is absolutely convergent, conditionally convergent, or divergent.

WIR 20B M152 V83

Finding the Taylor polynomial of a function

WIR 20B M152 V85

Converting parametric equations into a Cartesian equation and graphing

WIR 20B M152 V88

Finding the length of a curve given by parametric equations

WIR 20B M152 V96

Finding the area of a region defined using polar coordinates

MATH 152: Integration by Parts Exercise 1

Solving an indefinite integral with an exponential function using integration by parts

MATH 152: Integration by Parts Exercise 2

Solving a definite integral with an exponential function using integration by parts

MATH 152: Integration by Parts Exercise 8

Solving an indefinite integral with an exponential function using integration by parts

MATH 152: Integration by Parts Exercise 9

Using integration by parts twice for an integral with sine and an exponential function

MATH 152: u-Substitution Exercise 6

Using u-substitution on an indefinite integral with an exponential function, sine, and cosine

MATH 152: u-Substitution Exercise 8

Using u-substitution to solve an indefinite integral with an exponential function

Derivatives and Rates of Change: 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 3 Review Problems 1-7

Derivatives of exponential functions and the exponential model

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

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

Review for Common Exam: MATH 151 Exam 3 Review Problems 25-30

Antiderivatives and physics applications

Inverse Trigonometric Functions: MATH 151 Problems 9-12

Properties and derivatives of inverse trigonometric 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.

Derivatives and Rates of Change: MATH 171 Problems 1-3

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

Differentiation Formulas: MATH 171 Problems 4 & 5

Using the limit definition to find a derivative and proving the power rule

Derivatives and Rates of Change: MATH 171 Problems 1-3

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

Differentiation Formulas: MATH 171 Problems 4 & 5

Using the limit definition to find a derivative and proving the power rule

Exponentials and Hyperbolic Trigonometric Functions: MATH 171 Problems 3 & 4

Examples involving the tangent line to an exponential function and finding the derivative of hyperbolic cosine

Implicit Differentiation: MATH 171 Problems 6 & 7

Using implicit differentiation to solve a problem and to prove the power rule for rational exponents

Inverse Trigonometric Functions: MATH 151 Problems 9-12

Properties and derivatives of inverse trigonometric functions

Derivatives of Logarithmic Functions: MATH 171 Problems 7-9

Proving facts about logarithms and exponentials including the derivative of an exponential with an arbitrary base

Derivatives of Logarithmic Functions: MATH 171 Problems 1-3

Proving the derivative of ln(x) and the power and product rules using logarithmic differentiation

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

L'Hospital's Rule: MATH 151 Problem 1(a-h)

Using L'Hospital's Rule to solve limits

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

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 2 Review Problems 8 & 9

Review of improper integrals and the Comparison Theorem

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

Taylor and Maclaurin Series: MATH 152 Problems 4-10

Finding Taylor and Maclaurin Series for functions

Taylor Polynomials: MATH 152 Problem 11

Finding a Taylor Polynomial for a function

Work and Average Value: MATH 152 Problems 1-9

Using integrals to solve work problems and find the average value

WIR2 20B M251 V6

Determining the domain of a three-dimensional vector function

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

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

WIR3 20B M251 V9

Finding the partial derivatives of a function of two variables

WIR3 20B M251 V10

Finding the partial derivatives of a function of three variables

WIR3 20B M251 V11

Finding all second-order partial derivatives of a function of two variables

WIR5 20B M251 V7

Evaluating a double integral over a given region

WIR5 20B M251 V10

Evaluating a double integral by reversing the order of integration

WIR8 20B M251 V4

Evaluating a line integral along a curve

WIR8 20B M251 V5

Evaluating a line integral along a curve in space

WIR9 20B M251 V5

Finding the curl and divergence of a three dimensional vector field

WIR10 20B M251 V4

Evaluating a surface integral of a vector field

Approximating Definite Integrals with Riemann Sums in Python

Using Python to approximate a definite integral using left endpoint Riemann sums

Numerical Calculations in Python

Performing basic numerical calculations in Python

Using Variables in Python

Defining variables in Python and using the variables in equations

Linear Algebra for Math 308: L7V2

Showing how the exponential function is the solution to an initial value problem

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 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

Linear Forms Video 1

Explaining the main three forms for linear equations

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

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

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

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

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

Quadratic Equations Video 7

Explaining when a quadratic equation does not have a real solution

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

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 1

Discussing parent functions of rational functions and their properties

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

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

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

Systems of Two Linear Equations in Two Variables Video 1

Explaining the format and possible solutions for a system of two linear equations

Pythagorean Theorem

Explaining the Pythagorean Theorem and using it to find a missing side in a right triangle

$Math 140 5.4 Exercise 1$

Math 140 5.4 Exercise 1

Simplifying an algebraic expression with exponents

$Math 140 5.4 Exercise 5$