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MATH 140 5.8 Exercise 4

Evaluating a logarithm inside an exponential function

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 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

Finding a Derivative with Exponential Functions and Logarithms

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

Using the Generalized Exponential Rule

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

Using the Alternate Form of the Chain Rule

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

Finding an Indefinite Integral with a Fraction

Solving an indefinite integral by first simplifying the fraction

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

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

Definition of a Semilog Plot

Explaining the logarithmic scale and a semilog plot

Optimization Example 2

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

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

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

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

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

Using L'Hospital's Rule to solve 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

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 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 #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 #9c

Finding a derivative using the Chain Rule and Product Rule

MLC WIR 20B M151 week10 #24c

Evaluating a definite integral with an exponential and sine function

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

Derivatives of exponential functions and the exponential model

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

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

Differentiation and Applications: MATH 151 Problems 1-8

Derivatives of exponential and logarithmic functions and the exponential model

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

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

Using L'Hospital's Rule to solve 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

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 21

Solving equations with exponentials and logarithms

Math 140 Exam 3 Review Exercise 23

Solving equations with exponentials and logarithms

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

Composition of Logarithmic and Exponential Functions

Finding the composition of two functions with exponentials and logarithms

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

Approximating Definite Integrals with Riemann Sums in Python

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

Domain of Combinations of Functions Video 4

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

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

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

Derivatives of Exponential Functions

Explaining the formulas for the derivatives of exponential functions

MATH 140 5.6 Exercise 1

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

MATH 140 5.6 Exercise 2

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

MATH 140 5.6 Exercise 3

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

MATH 140 5.6 Exercise 4

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

MATH 140 5.6 Exercise 5

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

MATH 140 5.6 Exercise 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 5.6 Exercise 9

Calculating how much to invest with continuously compounded interest

MATH 140 5.7 Exercise 2

Identifying the parent function and transformations for a given graph

MATH 140 5.7 Exercise 5

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

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 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 10

Finding the domain of a function containing several logarithms

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 Square Root and Logarithm

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

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

The Quotient Rule with an Exponential

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

Using Both the Quotient and Product Rule

Finding a derivative using both the Product and Quotient Rule

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 Chain Rule with a Table

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

Using Logarithmic Differentiation to Find a Derivative

Finding the derivative of a function that requires logarithmic differentiation

Using the Generalized Power Rule

Finding the derivative of a function using the Generalized Power Rule

Using Implicit Differentiation to Find a Derivative 2

Using implicit differentiation to find the derivative of a function

Finding an Antiderivative

Finding the antiderivative of a function

Finding an Indefinite Integral

Evaluating an indefinite integral with an exponential

u-Substitution With an Exponential Function

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

u-Substitution With a Natural Logarithm

Solving an indefinite integral with a natural logarithm using u-substitution

u-Substitution With a Quotient and Exponentials

Solving an indefinite integral with exponentials in a quotient 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

Derivatives of Exponential Functions Example 1

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

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

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

Definition of a Double-Log Plot

Explaining the definition of logarithmic scale and double-log plots

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 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

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

Review of limits and derivatives of inverse trigonometric functions

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

Review of limits and derivatives of inverse trigonometric functions

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

Antiderivatives and physics applications

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

Mean Value Theorem and Studying the Shape of Curves: MATH 151 4.2 Problems 1-6

Mean Value Theorem and properties of a graph

Mean Value Theorem and Studying the Shape of Curves: MATH 151 4.3 Problems 1-6

Mean Value Theorem and properties of a graph

Studying the Shape of Curves: MATH 151 Problems 2-7

Using derivatives to find properties of graphs

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 #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 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 #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 #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 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 #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 week8 #5b

Antidifferentiating twice to find a function from its second derivative

MLC WIR 20B M151 week9 #8a

Evaluating a limit using logarithm properties

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 #24e

Using u-substitution to evaluate an indefinite integral

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 #8e

Evaluating a limit at infinity by combining logarithms

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 #19d

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

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

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 2 b Review Problems 8 & 9

Review of improper integrals and the Comparison Theorem

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 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

Taylor and Maclaurin Series: MATH 152 11.10 Problems 4-10

Finding Taylor and Maclaurin Series for functions

WIR 20B M152 V83

Finding the Taylor polynomial of a function

WIR 20B M152 V69

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

WIR 20B M152 V70

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 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 V17

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 V23

Evaluating an integral using integration by parts

WIR 20B M152 V26

Evaluating an integral using integration by parts

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 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: 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 4

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

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

WIR 20B M152 V1

Integrating an exponential function using u-substitution

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 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 V43

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 8-15

Review of limits and derivatives of inverse trigonometric functions

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

Antiderivatives and physics applications

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

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

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

Mean Value Theorem and Studying the Shape of Curves: MATH 151 4.2 Problems 1-6

Mean Value Theorem and properties of a graph

Mean Value Theorem and Studying the Shape of Curves: MATH 151 4.3 Problems 1-6

Mean Value Theorem and properties of a graph

Studying the Shape of Curves: MATH 151 Problems 2-7

Using derivatives to find properties of graphs

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

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

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 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 2 b Review Problems 8 & 9

Review of improper integrals and the Comparison Theorem

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 and Maclaurin Series: MATH 152 11.10 Problems 4-10

Finding Taylor and Maclaurin Series for functions

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

Integration Using Partial Fractions: MATH 172 Problems 8 & 9

Finding a partial fraction decomposition and integrating using partial fractions

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 V12

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

WIR3 20B M251 V1

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

WIR3 20B M251 V9

Finding the partial derivatives of a function of two 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

Scalar-Valued IVP

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

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

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

Finding the nth Taylor Polynomial Exercise

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

Math 140 5.4 Exercise 3

Rewriting a function with a fractional exponent in radical form

Math 140 Exam 3 Review Exercise 13

Stating the domain in interval notation of a function with radicals, fractions, and exponentials

Math 140 Exam 3 Review Exercise 17

Calculating continuously compounded interest for money in an account

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 24

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

Population Model with Exponential Growth

Finding the size of a population of rabbits with exponential growth

Population Model with Exponential Decay

Finding the size of a population of rabbits with exponential decay

Horizontal Asymptote of an Exponential Function

Finding the horizontal asymptote of an exponential function

Horizontal Asymptote of an Exponential Function (2)

Finding the horizontal asymptote of an exponential function

Horizontal Asymptote of an Exponential Function (3)

Finding the horizontal asymptote of an exponential function

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

WIR 20B M152 V53

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

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 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

Introduction and Installation of Python

An introduction to installing and getting started with Python

Plotting Expressions and Solving Equations Numerically in Python

Plotting an expression in Python and finding a numerical approximation for the solution

Plotting Multiple Expressions in One Graph in Python

Graphing a piecewise function using Python

Creating and Manipulating Symbolic Expressions in Python

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

Solving Equations Symbolically in Python

Solving equations symbolically in Python and interpreting the results

Using Variables in Python

Defining variables in Python and using the variables in equations

Word Problems and the Algorithmic Process for Multistep Problem Solving in Python

Solving a multistep word problem in Python and graphing the resulting function

Tangents to Parametrized Curves at a Given Point in Python

Using Python to plot a parametrized curve and its tangent line at a point

Simplifying Difference Quotients in Python

Using Python to simplify a difference quotient and find a derivative using the limit definition

Definite and Indefinite Integrals in Python

Solving definite and indefinite integrals in Python

Finding Absolute (Global) Extrema in Python

Using Python to find the absolute maximum and minimum of a function on a closed interval

Finding and Graphing Tangent Lines to a Curve in Python

Using Python to find the equation of the tangent line to a curve and graphing the result

Finding Derivatives in Python

Finding derivatives in Python and solving for the rate of change of a force

Finding Horizontal Tangent Lines in Python

Finding when the tangent line to a function is horizontal in Python

Finding Intervals of Increase/Decrease and Concavity in Python

Using Python to find the intervals where a function is increasing or decreasing

Implicit Plots and Implicit Differentiation in Python

Using Python to plot an implicit curve and find a tangent line using implicit differentiation

Parametric Plots and Tangents at a Given t-value in Python

Using Python to find the tangent line to a parametric equation and plot the two graphs

List Comprehension and Numerical, Graphical, and Symbolic Limits in Python

Using Python to numerically estimate a limit, graphically estimate a limit, and find the exact limit

List Comprehension and Patterns in Higher Derivatives in Python

Using Python's list comprehension tool to find several higher order derivatives of a function at once

Plotting a Function and Partial Sums of its Power Series in Python

Video 29 in a series of Python instructional videos

Radius and Interval of Convergence in Python

Using Python to find the radius and interval of convergence of a power series with the Ratio Test

For Loops and Recursive Sequences in Python

Using for loops in Python to generate a recursively defined sequence

Generating and Plotting Partials Sums of a Series in Python

Using Python to calculate the partial sums of a series to estimate the value of the series

Generating and Plotting Sequences in Python

Using Python to numerically, graphically, and analytically find the limit of a sequence

Areas Between Curves in Python

Using Python to identify the region between curves and then evaluate the area of the region

Calculating Work in Python: Hooke’s Law

Using Python to calculate the amount of work done in moving a spring using Hooke's Law

Calculating Work in Python: Pumping Liquid from a Tank

Using Python to calculate the work done in pumping the liquid from a tank whose ends are semicircles

Volumes of Revolution in Python

Finding the volume of a solid of revolution in Python

Domain Restrictions

Explaining domain restrictions for denominators, even roots, and logarithms

Domain of Logarithmic Functions Video 1

Finding the domain of a logarithmic function

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 2

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

Properties of Radical Functions and Expressions Video 2

How to rewrite radical terms as power terms

Properties of Power and Exponential Expressions Video 1

Properties of exponents applied to power and exponential expressions

Properties of Power and Exponential Expressions Video 2

Properties of multiplying and simplifying power and exponential expressions

Properties of Power and Exponential Expressions Video 3

Properties of exponents applied to power and exponential expressions

Properties of Power and Exponential Expressions Video 6

Simplifying power and exponential expressions using properties of exponents

Properties of Power and Exponential Expressions Video 7

Simplifying power and exponential expressions using properties of exponents

Properties of Power and Exponential Expressions Video 9

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

Properties of Power and Exponential Expressions Video 4

Properties of exponential growth and decay functions

Properties of Power and Exponential Expressions Video 5

Properties of the exponential function with base e

Properties of Logarithmic Functions and Expressions Video 2

Explaining the basic properties of logarithmic functions

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 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 4

Properties of exponential growth and decay functions

Properties of Power and Exponential Expressions Video 5

Properties of the exponential function with base e

Properties of Logarithmic Functions and Expressions Video 2

Explaining the basic properties of logarithmic functions

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

Review of limits and derivatives of inverse trigonometric functions