Virtual Math Learning Center

Related Videos

Domain Restrictions

Explaining domain restrictions for denominators, even roots, and logarithms

WIR2 20B M251 V6

Determining the domain of a three-dimensional vector function

Domain of Radical Functions Video 1

Finding the domain of 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 1

Explaining the general properties of even and odd root functions

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

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 5.5 Exercise 1

Finding the domain of a piecewise function and evaluating it

WIR8 20B M150 V03

Finding the domains of expressions

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

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

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 Reimann sums and the Fundamental Theorem of Calculus

Integration by Substitution: MATH 151 Problems 13 & 14

Examples of integration by substitution

Integration by Substitution: MATH 151 Problems 13 & 14

Examples of integration by substitution

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

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

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

Integration by Substitution: MATH 151 Problems 13 & 14

Examples of integration by substitution

WIR3 20B M251 V1

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 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 Combinations of Functions Video 2

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

Domain of Logarithmic Functions Video 1

Finding the domain of a logarithmic function

Solving Radical Equations Video 3

Solving equations with odd radicals

Properties of Radical Functions and Expressions Video 2

How to rewrite radical terms as power terms

Solving Power and Exponential Equations Video 1

Explaining how to solve equations with power and 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

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 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

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 5.3 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

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

Absolute Extrema on a Closed Interval

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

WIR2 20B M150 V7

Solving a rational equation and checking the solutions

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 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 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

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

Continuity: MATH 151 Problems 1-6

Continuity of Functions and the Intermediate Value Theorem

MLC WIR 20B M151 week9 #8a

Evaluating a limit using logarithm properties

MLC WIR 20B M151 week10 #24b

Evaluating a definite integral by first simplifying the integrand

Calculus I Integration Review: MATH 151

Examples reviewing integration techniques from Calculus I

Review for the Common Exam: MATH 152 Exam 1 Review Problems 1-4

Reviewing u-Substitution

Integration by Parts: MATH 152 Problems 10-16

Examples using integration by parts

Integration by Partial Fractions: MATH 152 Problems 12 & 13

Using the method of partial fractions to integrate rational functions

WIR 20B M152 V2

Integrating a rational function using u-substitution

WIR 20B M152 V3

Integrating a rational function using 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 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

Continuity: MATH 151 Problems 1-6

Continuity of Functions and the Intermediate Value Theorem

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

Calculus I Integration Review: MATH 151

Examples reviewing integration techniques from Calculus I

Review for the Common Exam: MATH 152 Exam 1 Review Problems 1-4

Reviewing u-Substitution

Integration by Parts: MATH 152 Problems 10-16

Examples using integration by parts

Integration by Partial Fractions: MATH 152 Problems 12 & 13

Using the method of partial fractions to integrate rational functions

Integration Using Partial Fractions: MATH 172 Problems 8 & 9

Finding a partial fraction decomposition and integrating using partial fractions

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

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

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 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 1

Explaining the terminology and rules of logarithms

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 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

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 2

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

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 5.8 Exercise 1

Using properties of logarithms to determine whether a statement is true or false

MATH 140 5.8 Exercise 2

Using properties of logarithms to determine whether a statement is true or false

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

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 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

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 Cube Root

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

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 with Exponential Functions and Logarithms

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

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 a Logarithm

Finding a derivative of a function with a logarithm using the Product 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

Using Both the Quotient and Product Rule

Finding a derivative using both the Product and Quotient Rule

Using the Generalized Exponential Rule

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

Using Log Properties to Simplify Before Taking the Derivative

Using logarithm properties to simplify before using the Chain Rule to find a derivative

Using Log Properties to Simplify Before Taking the Derivative 2

Using logarithm properties to simplify before using the Generalized Logarithm Rule to find a derivative

Using the Alternate Form of the Chain Rule

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

Using Logarithmic Differentiation to Find a Derivative

Finding the derivative of a function that requires logarithmic differentiation

Using Implicit Differentiation to Find a Derivative

Using implicit differentiation to find the derivative of a function

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

Finding an Antiderivative

Finding the antiderivative of a function

Finding an Indefinite Integral with a Fraction

Solving an indefinite integral by first simplifying the fraction

u-Substitution With a Natural Logarithm

Solving an indefinite integral with a natural logarithm 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

Finding the Function from Its Derivative Using u-Substitution

Using u-substitution in an indefinite integral to find a function from its derivative and a given vaue

Higher Derivatives Example 2

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

Derivatives of Exponential Functions

Explaining the formulas for the derivatives of exponential functions

Derivatives of Exponential Functions Example 2

Calculating a derivative of a quotient with an exponential 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

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

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 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 V16

Dividing rational expressions and simplifying

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

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 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 V6

Simplifying logarithmic expressions using the properties of logarithms

WIR4 20B M150 V11

Using the properties of logarithms to expand a logarithmic expression

WIR4 20B M150 V12

Using the properties of logarithms to expand a logarithmic expression

WIR4 20B M150 V13

Using the properties of logarithms to condense the expression as a single logarithm

WIR4 20B M150 V14

Using the properties of logarithms to condense the expression as a single logarithm

WIR4 20B M150 V15

Using the formula to change the base of a logarithm

WIR4 20B M150 V16

Using the formula to change the base of a logarithm

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

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

Parametric Curves: MATH 151 Problems 1-5

Cartesian equations and parametric equations of curves

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 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 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

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

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

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

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 #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 week5 #4ef

Finding the derivative of a function containing a logarithmic function

MLC WIR 20B M151 week5 #4ghi

Finding the derivatives of functions containing logarithms

MLC WIR 20B M151 week5 #5

Finding the derivative of a function containing a logarithms

MLC WIR 20B M151 week5 #6

Finding the equation of a tangent line to a function containing a logarithm

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 #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 #3

Using the chain rule to find a derivative

MLC WIR 20B M151 week6 #4a

Using logarithmic differentiation to find the derivative of a function

MLC WIR 20B M151 week6 #4b

Using logarithmic differentiation to find the derivative of a function

MLC WIR 20B M151 week6 #11

Using a linear approximation to approximate the value of a function

MLC WIR 20B M151 week7 #2b

Finding a number that satisfies the conclusion of the Mean Value Theorem on an interval

MLC WIR 20B M151 week7 #4a

Evaluating a limit using L'Hospital's Rule

MLC WIR 20B M151 week7 #4c

Evaluating a limit 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 #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 #8b

Evaluating a limit with an indeterminate difference using a common denominator

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 #10b

Finding the antiderivative of a rational function

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 #8e

Evaluating a limit at infinity by combining logarithms

MLC WIR 20B M151 week10 #9c

Finding a derivative using the Chain Rule and Product Rule

MLC WIR 20B M151 week10 #9d

Finding a derivative using the Quotient Rule

MLC WIR 20B M151 week10 #11

Using logarithmic differentiation to find the derivative of a function

MLC WIR 20B M151 week10 #19b

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

MLC WIR 20B M151 week10 #19c

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

MLC WIR 20B M151 week10 #23a

Evaluating an indefinite integral by simplifying a fraction to powers of x

MLC WIR 20B M151 week10 #24c

Evaluating a definite integral with an exponential and sine function

MLC WIR 20B M151 week10 #24e

Using u-substitution to evaluate an indefinite integral

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 Problem 36

Review of partial fractions

Review for the Common Exam: MATH 152 Exam 3 Review Problem 6

Review of estimating the sum of a series and the remainder

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 Problems 4 & 5

Review of using tests to determine if a series is absolutely convergent, convergent, and divergent

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 10-13

Review of power series properties and writing functions as 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

Review for the Common Exam: MATH 152 Exam 3 Review Problems 4 & 5

Review of using tests to determine if a series is absolutely convergent, convergent, and divergent

Sequences: MATH 152 Problems 1-3

Determining properties of sequences

Taylor Polynomials: MATH 152 Problem 11

Finding a Taylor Polynomial for a function

Representations of Functions as Power Series: MATH 152 Problems 2 & 3

Finding power series representations for functions and the radius and interval of convergence of the power series

Area Between Curves: MATH 152 Problem 1(a-f)

Examples finding the area bounded by curves

Volume (Disks, Washers, and by Slicing): MATH 152 Problems 2 & 3

Examples finding a volume using disks, washers, and by slicing

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

Work and Average Value: MATH 152 Problems 1-9

Using integrals to solve work problems and find the average value

Integration by Partial Fractions: MATH 152 Problem 11

Using the method of partial fractions to integrate rational functions

Improper Integrals: MATH 152 Problems 4 & 5

Determining divergence or convergence of improper integrals

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 V15

Finding the volume of a solid of revolution using the washer method

WIR 20B M152 V16

Finding the volume of a solid of revolution using the washer method

WIR 20B M152 V17

Finding the volume of a solid of revolution using cylindrical shells

WIR 20B M152 V18

Finding the volume of a solid of revolution using cylindrical shells

WIR 20B M152 V23

Evaluating an integral using integration by parts

WIR 20B M152 V34

Evaluating an integral using integration by parts

WIR 20B M152 V35

Evaluating an integral using integration by parts

WIR 20B M152 V35.5

Evaluating an integral using integration by parts

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 V45

Determining if a sequence converges or diverges

WIR 20B M152 V48

Determining if a sequence is increasing, decreasing, or not monotonic and if it is bounded

WIR 20B M152 V56

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

WIR 20B M152 V57

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

WIR 20B M152 V77

Finding a power series representation for a function

WIR 20B M152 V69

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

WIR 20B M152 V75

Finding the interval and radius of convergence for a power series

WIR 20B M152 V85

Converting parametric equations into a Cartesian equation and graphing

MATH 152: Integration by Parts Exercise 4

Solving an indefinite integral with a natural logarithm using integration by parts

MATH 152: Integration by Parts Exercise 5

Solving a definite integral with a natural logarithm using integration by parts

MATH 152: u-Substitution Exercise 3

Using u-substitution to integrate a rational function

MATH 152: u-Substitution Exercise 4

Using u-substitution to evaluate a definite integral with a natural logarithm

Cases for Partial Fraction Decomposition

Explaining all four cases of partial fraction decomposition

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

MATH 152: Improper Integrals Exercise 2

Solving an improper integral where the upper limit of integration is infinity

MATH 152: Improper Integrals Exercise 4

Solving an improper integral where the upper limit of integration is infinity

MATH 152: Improper Integrals Exercise 6

Solving an improper integral where the upper limit of integration is infinity

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 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 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 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative

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 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

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

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

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

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

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

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 171 Problems 7-9

Proving L'Hospital's Rule and using it to evaluate limits

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

Integration by Substitution: MATH 171 Problems 4-6

Using u substitution to evaluate integrals and prove facts about logarithms and integrals and

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 Problem 36

Review of partial fractions

Review for the Common Exam: MATH 152 Exam 3 Review Problem 6

Review of estimating the sum of a series and the remainder

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 Problems 4 & 5

Review of using tests to determine if a series is absolutely convergent, convergent, and divergent

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 10-13

Review of power series properties and writing functions as 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

Review for the Common Exam: MATH 152 Exam 3 Review Problems 4 & 5

Review of using tests to determine if a series is absolutely convergent, convergent, and divergent

Sequences: MATH 152 Problems 1-3

Determining properties of sequences

Taylor Polynomials: MATH 152 Problem 11

Finding a Taylor Polynomial for a function

Representations of Functions as Power Series: MATH 152 Problems 2 & 3

Finding power series representations for functions and the radius and interval of convergence of the power series

Area Between Curves: MATH 152 Problem 1(a-f)

Examples finding the area bounded by curves

Volume (Disks, Washers, and by Slicing): MATH 152 Problems 2 & 3

Examples finding a volume using disks, washers, and by slicing

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

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 Partial Fractions: MATH 152 Problem 11

Using the method of partial fractions to integrate rational functions

Improper Integrals: MATH 152 Problems 4 & 5

Determining divergence or convergence of improper integrals

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

WIR2 20B M251 V12

Finding the position vector function given the velocity and an initial position

WIR3 20B M251 V8

Finding the partial derivatives of a function of two variables

Creating and Manipulating Symbolic Expressions in Python

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

Numerical Calculations in Python

Performing basic numerical calculations in Python

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

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

Linear Forms Video 1

Explaining the main three forms for linear equations

Quadratic Equations Video 1

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

Quadratic Equations Video 2

Solving quadratic equations with the difference of two squares formula

Quadratic Equations Video 3

Solving quadratic equations by factoring

Quadratic Equations Video 4

Solving a quadratic equation by factoring

Quadratic Equations Video 5

Solving a quadratic equation by factoring

Quadratic Equations Video 6

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

Quadratic Equations Video 7

Explaining when a quadratic equation does not have a real solution

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 Rational Functions and Expressions Video 6

Explaining basic algebraic operations for fractions

MATH 152: Sequences Exercise 6

Finding the limit of a sequence using logarithm properties

MATH 152: Sequences Exercise 7

Finding the limit of a sequence

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

Cases for Partial Fraction Decomposition

Explaining all four cases of partial fraction decomposition

Finding the nth Taylor Polynomial Exercise

Finding the nth Taylor polynomial of the natural log function centered at 1

Systems of Two Linear Equations in Two Variables Video 1

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