Virtual Math Learning Center

Related Videos

Continuity of a Piecewise Function

Determining where a piecewise function is continuous algebraically

Solving for a Constant so a Piecewise Function is Continuous

Solving for a constant to make a piecewise-defined function continuous for all real numbers

Where the Graph of a Function is Not Continuous

Determining where a piecewise function is continuous from its graph

Continuity of a Function with a Cube Root

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

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

Using Both the Quotient and Product Rule

Finding a derivative using both the Product and Quotient 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 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 Logarithmic Differentiation to Find a Derivative

Finding the derivative of a function that requires logarithmic differentiation

Using the Alternate Form of the Chain Rule

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

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

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

Differentiation and Applications: MATH 151 Problems 1-8

Derivatives of exponential and logarithmic functions and the exponential model

Differentiation and Applications: MATH 151 3.8 Problems 1-8

Derivatives of exponential and logarithmic functions and the exponential model

Riemann Sums and Definite Integrals: MATH 151 5.2 Problems 6-12

Using Reimann sums and the Fundamental Theorem of Calculus

Riemann Sums and Definite Integrals: MATH 151 5.3 Problems 6-12

Using Riemann sums and the Fundamental Theorem of Calculus

Integration by Substitution: MATH 151 5.5 Problems 13 & 14

Examples of integration by substitution

Differentiation and Applications: MATH 151 Problems 1-8

Derivatives of exponential and logarithmic functions and the exponential model

L'Hospital's Rule: MATH 171 Problems 7-9

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

Riemann Sums and Definite Integrals: MATH 151 5.2 Problems 6-12

Using Reimann sums and the Fundamental Theorem of Calculus

Riemann Sums and Definite Integrals: MATH 151 5.3 Problems 6-12

Using Riemann sums and the Fundamental Theorem of Calculus

Integration by Substitution: MATH 151 5.5 Problems 13 & 14

Examples of integration by substitution

WIR2 20B M251 V6

Determining the domain of a three-dimensional vector function

WIR3 20B M251 V1

Finding and sketching the domain of a function of two variables

Domain Restrictions

Explaining domain restrictions for denominators, even roots, and logarithms

Domain of Combinations of Functions Video 1

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

MATH 140 5.5 Exercise 1

Finding the domain of a piecewise function and evaluating it

MATH 140 5.6 Exercise 6

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

MATH 140 5.8 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 5.8 Exercise 10

Finding the domain of a function containing several logarithms

MATH 140 5.8 Exercise 11

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

MATH 140 5.8 Exercise 13

Solving an equation with exponential functions

MATH 140 5.8 Exercise 14

Solving an equation with a logarithmic function

MATH 140 5.8 Exercise 15

Solving an equation with several logarithmic functions

MATH 140 5.8 Exercise 4

Evaluating a logarithm inside an exponential function

MATH 140 5.8 Exercise 5

Expressing a combination of logarithms as a single logarithm

MATH 140 5.8 Exercise 7

Finding the domain, range, end behavior, and intercepts for a logarithmic function

MATH 140 5.8 Exercise 9

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

MATH 140 5.8 Exercise 12

Solving an equation an exponential function

Evaluating Limits from a Graph

Finding limits from the graph of a piecewise function

Evaluating One-Sided Limits from a Graph

Finding one-sided limits from the graph of a piecewise function

Evaluating a Limit Numerically

Finding the limit of a function numerically using a calculator

Combinations of Limits from Graphs

Finding limits of combinations of functions using their graphs

Evaluating Limits Algebraically

Using the properties of limits to find several limits algebraically

Limit of a Piecewise Function

Finding one and two-sided limits for a piecewise function algebraically

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 with Multiple Fractions

Finding the limit algebraically of a function with multiple fractions

Limit of a Fraction with a Square Root

Finding the limit algebraically of a function with a square root in the numerator of a fraction

Limit with an Absolute Value

Finding the limit algebraically of a function with an absolute value

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

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

Vertical Asymptotes and Holes of a Rational Function

Finding the holes and vertical asymptotes of a rational function

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

Average Rate of Change from a Table

Finding the average rate of change over time periods from a table

Slope of a Secant Line

Finding the slope of a secant line to a given function

Instantaneous Rate of Change of a Function

Finding the exact value of the instantaneous rate of change

Instantaneous Rate of Change of a Rational Function

Finding the exact value of the instantaneous rate of change

Instantaneous Rate of Change of Profit

Finding the instantaneous rate of change of profit for a given price-demand function and cost function

Slope of a Tangent Line

Finding the equation of the tangent line to a function using the limit definition

Finding the Derivative of a Polynomial Using the Limit Definition

Using the limit definition to find the derivative of a polynomial

Finding the Derivative of a Rational Function Using the Limit Definition

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

Determining Where the Derivative Exists From a Graph

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

Finding a Derivative by Simplifying a Rational

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

Evaluating Derivatives From a Given Table

Finding and evaluating derivatives using values given in a table

Calculating Marginal Revenue

Finding the marginal revenue given the price-demand function for a word problem

The Quotient Rule with an Exponential

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

Using the Product and Quotient Rules with a Table

Finding a derivative using the Product and Quotient Rule and values given in a table

Using the Generalized Power Rule

Finding the derivative of a function using the Generalized Power Rule

Using the Chain Rule with a Table

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

Calculating the Rate of Growth With Compound Interest

Finding the rate a balance is increasing for interest compounded monthly and continuously

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

Solving a Related Rates Word Problem About Liquid Filling a Sphere

Finding the rate water is flowing into an expandable sphere given the rate a sphere is growing

Solving a Related Rates Word Problem About Profit

Finding the rate of change of profit given the rate of increase for sales

Solving a Related Rates Word Problem About a Sliding Ladder

Finding how fast a ladder moves up a wall as the bottom is being pushed

Finding Critical Values

Finding the critical values for several functions

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

Local and Absolute Extrema from a Graph

Finding all local and absolute extrema of a function from a graph

Absolute Extrema on a Closed Interval

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

Absolute Extrema on a Closed Interval 2

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

Maximizing a Product of Numbers

Finding the maximum product of two numbers given their sum is 100

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 a Function from its Derivative and One Value

Solving for a function given its derivate and one value

Finding the Cost Function from Marginal Cost

Solving the antiderivative of marginal cost to find the cost function and evaluating a particular cost

Finding an Indefinite Integral

Evaluating an indefinite integral with an exponential

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

u-Substitution With an Exponential Function

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

Calculating Profit From Marginal Profit Using u-Substitution

Calculating profit from marginal profit using an indefinite integral and u-substitution

Calculating the Exact Area Under a Curve With Geometry

Using geometric formulas for circles, triangles, and rectangles to find the exact area under a curve

Introduction to Riemann Sums

Estimating the area under a function using right-hand, left-hand, and midpoint Riemann sums

Estimating Area With a Right-Hand Riemann Sum

Estimating the area under a curve using right-hand Riemann sums

Estimating Area With a Left-Hand Riemann Sum

Estimating the area under a curve using left-hand Riemann sums

Estimating Area With a Midpoint Riemann Sum

Estimating the area under a curve using midpoint Riemann sums

Estimating the Area Under a Curve With a Riemann Sum

Estimating the area under a graph using right-hand Riemann sums

Calculating a Definite Integral From a Graph

Calculating a definite integral by finding the area under a curve using geometry

Definite Integral Comparison Properties

Comparing two definite integrals with the same limits of integration

Evaluating a Definite Integral

Using the Fundamental Theorem of Calculus to evaluate a definite integral

Evaluating a Definite Integral 2

Using the Fundamental Theorem of Calculus to evaluate a definite integral

Evaluating a Definite Integral with u-Substitution

Using the Fundamental Theorem of Calculus and \(u\)-substitution to evaluate a definite integral

Part 1 of the Fundamental Theorem of Calculus

Using Part 1 of the Fundamental Theorem of Calculus to find the derivative of a function defined using an integral

Solving a Word Problem With a Definite Integral

Solving a word problem using a definite integral and the Fundamental Theorem of Calculus

Average Value of a Function

Finding the average value of a a function on an interval using a definite integral

Area Between Two Curves

Finding the area between two curves on an interval using a definite integral

Area of the Region Bounded by Two Curves

Finding the area of a region bounded by two curves using definite integrals

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

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

WIR4 20B M150 V6

Simplifying logarithmic expressions using the properties of logarithms

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 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 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 1 Review Problems 14-25

Review of limits, continuity, and the Intermediate Value Theorem

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 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 the Common Exam: MATH 151 Exam 3 Review Problems 8-15

Review of limits and derivatives of inverse 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

Continuity: MATH 151 2.5 Problems 1-6

Continuity of Functions and the Intermediate Value Theorem

Approximations and Exponentials: MATH 151 2.6 Problems 7-14

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

Approximations and Exponentials: MATH 151 3.4 Problems 7-14

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

Studying the Shape of Curves: MATH 151 4.1 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

L'Hospital's Rule: MATH 151 4.4 Problem 1(a-h)

Using L'Hospital's Rule to solve limits

Riemann Sums: MATH 151 5.1 Problems 1-5

Riemann sums, including approximating areas under curves.

MLC WIR 20B M151 week2 #10

Explaining why a piecewise function is discontinuous at a point

MLC WIR 20B M151 week2 #11

Solving for the values for constants to make a piecewise function is continuous

MLC WIR 20B M151 week3 #18

Solving for the value of a constant that makes a function is continuous everywhere

MLC WIR 20B M151 week3 #22

Finding the derivative of a function using the limit definition

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 #16

Solving for constants so that a piecewise function is differentiable everywhere

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 #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 #8a

Evaluating a limit using logarithm properties

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 week10 #7

Solving for a constant so that a piecewise function is continuous

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 #17

Finding the value for a function that satisfies the Mean Value Theorem on an interval

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 #24b

Evaluating a definite integral by first simplifying the integrand

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 a Review Problems 1-4

Reviewing u-Substitution

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

Review of estimating the sum of a series and the remainder

Review for the Common Exam: MATH 152 Exam 3 b 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 c 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 c Review Problems 10-13

Review of power series properties and writing functions as power series

Review for the Common Exam: MATH 152 Exam 3 c Review Problems 13-18

Review of Taylor and Maclaurin Series and their properties

Review for the Common Exam: MATH 152 Exam 3 c Review Problems 19 & 20

Review of Taylor Polynomials and Taylor's Inequality

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

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

WIR 20B M152 V85

Converting parametric equations into a Cartesian equation and graphing

Taylor Polynomials: MATH 152 11.11 Problem 11

Finding a Taylor Polynomial 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 V77

Finding a power series representation for a function

Representations of Functions as Power Series: MATH 152 11.9 Problems 2 & 3

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

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

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 4

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

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

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

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

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 the Common Exam: MATH 151 Exam 3 Review Problems 8-15

Review of limits and derivatives of inverse 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 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

Continuity: MATH 171 Problems 8 & 9

Proving a product of continuous functions is continuous and using the Intermediate Value Theorem

Continuity: MATH 151 2.5 Problems 1-6

Continuity of Functions and the Intermediate Value Theorem

Approximations and Exponentials: MATH 151 2.6 Problems 7-14

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

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

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

Trigonometry Derivatives and the Chain Rule: MATH 171 Problems 1-3

Proving the derivatives of trigonometric functions and that sine is continuous

Approximations and Exponentials: MATH 151 3.4 Problems 7-14

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

Studying the Shape of Curves: MATH 151 4.1 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

L'Hospital's Rule: MATH 151 4.4 Problem 1(a-h)

Using L'Hospital's Rule to solve limits

Riemann Sums: MATH 151 5.1 Problems 1-5

Riemann sums, including approximating areas under curves.

Definite Integrals: MATH 171 Problems 5-9

The definition and properties of definite integrals

Fundamental Theorem of Calculus: MATH 171 Problems 1-3

Proving and then applying the Fundamental Theorem of Calculus

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 a Review Problems 1-4

Reviewing u-Substitution

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

Review of estimating the sum of a series and the remainder

Review for the Common Exam: MATH 152 Exam 3 b 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 c 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 c Review Problems 10-13

Review of power series properties and writing functions as power series

Review for the Common Exam: MATH 152 Exam 3 c Review Problems 13-18

Review of Taylor and Maclaurin Series and their properties

Review for the Common Exam: MATH 152 Exam 3 c Review Problems 19 & 20

Review of Taylor Polynomials and Taylor's Inequality

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

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

Taylor Polynomials: MATH 152 11.11 Problem 11

Finding a Taylor Polynomial for a function

Representations of Functions as Power Series: MATH 152 11.9 Problems 2 & 3

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

Work and Average Value: MATH 152 Problems 1-9

Using integrals to solve work problems and find the average value

Integration Using Partial Fractions: MATH 172 Problems 8 & 9

Finding a partial fraction decomposition and integrating using partial fractions

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 V2

Finding and sketching the domain of a function of two variables

WIR3 20B M251 V8

Finding the partial derivatives of a function of two variables

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

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

Cumulative Distribution Function Video 2

Explaining the properties of a cumulative distribution function for a random variable

Finding the nth Taylor Polynomial Exercise

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

Continuous Functions of Two Variables Example 2

Determining if a piecewise function of two variables is continuous at a point

Pythagorean Theorem

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

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

Math 140 Exam 3 Review Exercise 18

Using properties of logarithms to write an expression as a single logarithm

Math 140 Exam 3 Review Exercise 19

Writing logarithmic equations in exponential form

Math 140 Exam 3 Review Exercise 20

Solving equations with exponentials and logarithms

Math 140 Exam 3 Review Exercise 24

Find the domain of a function in interval notation with a fraction and logarithm

Math 140 Exam 3 Review Exercise 21

Solving equations with exponentials and logarithms

Math 140 Exam 3 Review Exercise 23

Solving equations with exponentials and logarithms

Roots of a Square Root Function

Finding the roots of a square root function

Domain of Function with Roots

Finding the domain of a function with a fraction and radicals

Domain of a Square Root Function

Finding the domain of a function with a quadratic inside a square root

Composition of Logarithmic and Exponential Functions

Finding the composition of two functions with exponentials and logarithms

Composition of Square Root and Power Functions

Finding the composition of two functions with a square root and a fractional exponent

Inverse of a Square Root Function

Finding the inverse of a square root function and its domain

An Equation with an Exponential Function

Solving a equation with an exponential function

An Equation with Exponential Functions of Different Bases

Solving an equation with two exponential functions with different bases

Factoring a Quadratic-Like Equation with Exponentials

Solving an equation with exponential functions by factoring

Factoring an Equation with Exponentials

Solving a equation with exponential functions by factoring

Expanding a Logarithmic Expression

Expanding a logarithmic expression using logarithm properties

Condensing a Logarithmic Expression

Condensing logarithmic expressions into a single logarithm

Evaluating Logarithmic Expressions

Finding the exact value of logarithms using logarithmic properties

Vertical Asymptote of a Logarithmic Function

Finding the vertical asymptote of a logarithmic function

Vertical Asymptote of a Logarithmic Function (2)

Finding the vertical asymptote of a logarithmic function

Domain and x-intercepts of a Logarithmic Function

Finding the domain and x-intercepts of a logarithmic function

Domain and x-intercepts of a Logarithmic Function (2)

Finding the domain and x-intercepts of a logarithmic function

Solving an Equation with Logarithms

Solving a logarithmic equation using properties of logarithms

Solving an Equation with a Logarithmic Function

Solving a logarithmic equation using properties of logarithms

A Composition of Tangent and Arccosine

Evaluating a composition of tangent and arccosine

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

Numerical Calculations in Python

Performing basic numerical calculations in Python

Using Variables in Python

Defining variables in Python and using the variables in equations

Domain of Radical Functions Video 1

Finding the domain of even and odd roots

Domain of Logarithmic Functions Video 1

Finding the domain of a logarithmic function

Domain of Combinations of Functions Video 2

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

Domain of Combinations of Functions Video 3

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

Domain of Combinations of Functions Video 4

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

Solving Rational Equations Video 2

Solving an equation that contains rational expressions

Solving Rational Equations Video 3

Solving an equation that contains rational expressions

Properties of Radical Functions and Expressions Video 1

Explaining the general properties of even and odd root functions

Properties of Radical Functions and Expressions Video 2

How to rewrite radical terms as power terms

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 Power and Exponential Equations Video 1

Explaining how to solve equations with power and exponential terms

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 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 Logarithmic Functions and Expressions Video 1

Explaining the terminology and rules of logarithms

Properties of Logarithmic Functions and Expressions Video 2

Explaining the basic properties of logarithmic functions

Derivatives of Exponential Functions

Explaining the formulas for the derivatives of exponential functions

Cumulative Distribution Function Video 2

Explaining the properties of a cumulative distribution function for a random variable

Introduction to Riemann Sums

Estimating the area under a function using right-hand, left-hand, and midpoint Riemann sums

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 3 Review Problems 8-15

Review of limits and derivatives of inverse trigonometric functions