Riemann Sums and Definite Integrals: MATH 151 Problems 6-12Using Reimann sums and the Fundamental Theorem of Calculus

Riemann Sums and Definite Integrals: MATH 151 Problems 6-12Using Reimann sums and the Fundamental Theorem of Calculus

Riemann Sums and Definite Integrals: MATH 151 Problems 6-12Using Reimann sums and the Fundamental Theorem of Calculus

Riemann Sums and Definite Integrals: MATH 151 Problems 6-12Using Reimann sums and the Fundamental Theorem of Calculus

Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15Review of limits and derivatives of inverse trigonometric functions

Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15Review of limits and derivatives of inverse trigonometric functions

Differentiation and Applications: MATH 151 Problems 1-8Derivatives of exponential and logarithmic functions and the exponential model

Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15Review of limits and derivatives of inverse trigonometric functions

Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15Review of limits and derivatives of inverse trigonometric functions

Differentiation and Applications: MATH 151 Problems 1-8Derivatives of exponential and logarithmic functions and the exponential model

Differentiation and Applications: MATH 151 Problems 1-8Derivatives of exponential and logarithmic functions and the exponential model

Review for the Common Exam: MATH 151 Exam 3 Review Problems 1-7Derivatives of exponential functions and the exponential model

Review for the Common Exam: MATH 151 Exam 2 Review Problems 1-9Reviewing the chain rule and the derivatives and limits of trigonometric functions

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

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

Integration by Substitution: MATH 171 Problems 4-6Using u substitution to evaluate integrals and prove facts about logarithms and integrals and

Review for the Common Exam: MATH 152 Exam 3 Review Problems 13-18Review of Taylor and Maclaurin Series and their properties

Integration Using Partial Fractions: MATH 172 Problems 8 & 9 Finding a partial fraction decomposition and integrating using partial fractions

Review for the Common Exam: MATH 151 Exam 3 Review Problems 1-7Derivatives of exponential functions and the exponential model

Review for the Common Exam: MATH 151 Exam 2 Review Problems 1-9Reviewing the chain rule and the derivatives and limits of trigonometric functions

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

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

Review for the Common Exam: MATH 152 Exam 3 Review Problems 13-18Review of Taylor and Maclaurin Series and their properties

Review for Common Exam: MATH 151 Exam 3 Review Problems 15-19Mean Value Theorem and using derivatives to find the shape of curves

Inverse Trigonometric Functions: MATH 171 Problems 4-6Properties of inverse trig functions and the derivative of arctangent

Inverse Trigonometric Functions: MATH 151 Problems 9-12Properties and derivatives of inverse trigonometric functions

Approximations and Exponentials: MATH 151 Problems 7-14Approximation and Newton's Method, and limits and derivatives of exponential functions

Trigonometry Derivatives and the Chain Rule: MATH 171 Problems 1-3Proving the derivatives of trigonometric functions and that sine is continuous

Trigonometry Derivatives and the Chain Rule: MATH 151 Problems 1-9Derivatives of trigonometric functions and using the Chain Rule

Approximations and Exponentials: MATH 151 Problems 7-14Approximation and Newton's Method, and limits and derivatives of exponential functions

Trigonometry Derivatives and the Chain Rule: MATH 151 Problems 1-9Derivatives of trigonometric functions and using the Chain Rule

Inverse Trigonometric Functions: MATH 171 Problems 4-6Properties of inverse trig functions and the derivative of arctangent

Inverse Trigonometric Functions: MATH 151 Problems 9-12Properties and derivatives of inverse trigonometric functions

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

Review for Common Exam: MATH 151 Exam 3 Review Problems 15-19Mean Value Theorem and using derivatives to find the shape of curves

Inverse Trigonometric Functions: MATH 151 Problems 9-12Properties and derivatives of inverse trigonometric functions

Approximations and Exponentials: MATH 151 Problems 7-14Approximation and Newton's Method, and limits and derivatives of exponential functions

Trigonometry Derivatives and the Chain Rule: MATH 151 Problems 1-9Derivatives of trigonometric functions and using the Chain Rule

Approximations and Exponentials: MATH 151 Problems 7-14Approximation and Newton's Method, and limits and derivatives of exponential functions

Trigonometry Derivatives and the Chain Rule: MATH 151 Problems 1-9Derivatives of trigonometric functions and using the Chain Rule

Inverse Trigonometric Functions: MATH 151 Problems 9-12Properties and derivatives of inverse trigonometric functions

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

MLC WIR 20B M151 week4 #1mnUsing the Chain Rule to differentiate functions with exponential and trigonometric functions

MLC WIR 20B M151 week6 #1ghUsing the Product and Chain Rules to differentiate functions with logarithms

MLC WIR 20B M151 week6 #1ijDifferentiating functions with logarithmic and inverse trigonometric functions

Calculus Exam Review (Application Problems with Integrals): MATH 142Using integrals to solve application problems

Exponentials and Hyperbolic Trigonometric Functions: MATH 171 Problems 3 & 4Examples involving the tangent line to an exponential function and finding the derivative of hyperbolic cosine

Review for the Common Exam: MATH 152 Exam 1 Review Problems 29-33Review of trigonometric substitution

Trigonometric Substitution: MATH 152 Problems 6 & 7Review of integration using a trigonometric substitution

Review for the Common Exam: MATH 152 Exam 1 Review Problems 29-33Review of trigonometric substitution

Trigonometric Substitution: MATH 152 Problems 6 & 7Review of integration using trigonometric substitution

MLC WIR 20B M151 week3 #13Evaluating compositions of trigonometric and inverse trigonometric functions

MLC WIR 20B M151 week4 #1oUsing the Chain Rule to differentiate a function containing trigonometric functions

MLC WIR 20B M151 week10 #22Using the Fundamental Theorem of Calculus to find the derivative of a function defined using an integral

MATH 152: u-Substitution Exercise 6Using u-substitution on an indefinite integral with an exponential function, sine, and cosine

Derivatives Involving Exponentials and Logarithms: MATH 142Examples of differentiating exponential and logarithmic functions

Vectors and Derivatives (Product Rule): MATH 171 Problems 1-3Proving facts about the derivatives of vector functions including the product rule

Derivatives and Applications: MATH 171 Problems 7 & 8Calculating slopes of tangent lines to parametric curves

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35Review of the limit definition of a derivative and calculating the derivative

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35Review of the limit definition of a derivative and calculating the derivative

Review for the Common Exam: MATH 151 Exam 2 Review Problems 10-15Implicit differentiation and physics applications of derivatives

Review for the Common Exam: MATH 151 Exam 2 Review Problems 16-20Derivatives of parametric equations and tangent lines

Review for Common Exam: MATH 151 Exam 3 Review Problems 25-30Antiderivatives and physics applications

Limits: MATH 171 Problems 8 & 9Proving a property of scalar multiplication for limits using the epsilon-delta defintion and using the Squeeze Theorem for Limits.

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35Review of the limit definition of a derivative and calculating the derivative

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35Review of the limit definition of a derivative and calculating the derivative

Fundamental Theorem of Calculus and u-Substitution: MATH 172 Problems 4-7Proving the Fundamental Theorem of Calculus and examples of u Substitution

Review for the Common Exam: MATH 152 Exam 3 Review Problems 10-13Review of power series properties and writing functions as power series

Volume (the Disk, Washer, and Shell Methods): MATH 152 Problems 1(f-i) & 2Finding volume using using disks, washers and the shell method

Work and Average Value: MATH 152 Problems 1-9Using integrals to solve work problems and find the average value

Work and Average Value: MATH 152 Problems 1-9Using integrals to solve work problems and find the average value

Proving Trigonometric Identities: MATH 172 Problems 3 & 4Proving trigonometric identities useful for integration

Improper Integrals: MATH 152 Problems 4 & 5Determining divergence or convergence of improper integrals

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35Review of the limit definition of a derivative and calculating the derivative

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35Review of the limit definition of a derivative and calculating the derivative

Review for the Common Exam: MATH 151 Exam 2 Review Problems 10-15Implicit differentiation and physics applications of derivatives

Review for the Common Exam: MATH 151 Exam 2 Review Problems 16-20Derivatives of parametric equations and tangent lines

Review for Common Exam: MATH 151 Exam 3 Review Problems 25-30Antiderivatives and physics applications

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35Review of the limit definition of a derivative and calculating the derivative

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35Review of the limit definition of a derivative and calculating the derivative

Review for the Common Exam: MATH 152 Exam 3 Review Problems 10-13Review of power series properties and writing functions as power series

Volume (the Disk, Washer, and Shell Methods): MATH 152 Problems 1(f-i) & 2Finding volume using using disks, washers and the shell method

Work and Average Value: MATH 152 Problems 1-9Using integrals to solve work problems and find the average value

Improper Integrals: MATH 152 Problems 4 & 5Determining divergence or convergence of improper integrals

MLC WIR 20B M151 week2 #04Simplifying expressions containing trigonometric and inverse trigonometric functions

MLC WIR 20B M151 week7 #1cFinding the absolute maximum and absolute minimum values of a function on a closed interval

MLC WIR 20B M151 week8 #6Using antidifferentiation to find the height of a cliff from the impact speed of a dropped stone

MLC WIR 20B M151 week9 #10dFinding the antiderivative of a function and using a function value to find the contant

WIR2 20B M251 V8Finding a vector equation for the tangent line to a three-dimensional vector function

MATH 152: Trigonometric Integrals Exercise 1Using trigonometric identities to solve an integral with powers of sine and cosine

MATH 152: Trigonometric Integrals Exercise 2Using trigonometric identities to integrate a power of cosine

MATH 152: Trigonometric Integrals Exercise 3Using a trigonometric identity to integrate powers of sine and cosine

MATH 152: Trigonometric Integrals Exercise 4Using a trigonometric identity to integrate powers of sine and cosine

MATH 152: Trigonometric Integrals Exercise 9Using trigonometric identities to integrate powers of cosine and tangent

Calculus Exam Review (Derivatives and Approximate Profit): MATH 142Examples of finding derivatives and calculating approximate profit

Calculus Exam Review (Derivative Rules): MATH 142Review of derivative rules such as product, quotient, and chain rule

Calculus Exam Review (Absolute Extrema and Integration): MATH 142Examples finding absolute maximums, antiderivatives, and definite integrals

More Application Problems Using Integrals: MATH 142Solving more application problems using definite integrals

Derivatives and Applications: MATH 151 Problems 9-15Tangent lines to parametric equations and related rates examples

Review for the Common Exam: MATH 151 Exam 2 Review Problems 21-29Related rates problems, differentials, linear and quadratic approximations

Limits and Asymptotes: MATH 171 Problems 3 & 4Proving the values of limits as x approaches infinity using the epsilon-delta definition

Differentials and Approximations: MATH 151 Problems 1-6Differentials, linear approximations, and quadratic approximations

Trigonometry Derivatives and the Chain Rule: MATH 171 Problems 4 & 5Using the Chain Rule to prove facts about derivatives

Derivatives of Logarithmic Functions: MATH 171 Problems 7-9Proving facts about logarithms and exponentials including the derivative of an exponential with an arbitrary base

Derivatives of Logarithmic Functions: MATH 171 Problems 1-3Proving the derivative of ln(x) and the power and product rules using logarithmic differentiation

Derivatives and Applications: MATH 151 Problems 9-15Tangent lines to parametric equations and related rates examples

Fundamental Theorem of Calculus: MATH 171 Problems 1-3Proving and then applying the Fundamental Theorem of Calculus

Review for the Common Exam: MATH 152 Exam 3 Review Problems 1-3Review of sequences and finding the sum of a series

Volume (Disks, Washers, and by Slicing): MATH 152 Problems 2 & 3Examples finding a volume using disks, washers, and by slicing

Integration by Parts: MATH 172 Problems 1 & 2Proving the formula for integration by parts and a reduction formula

Integration by Partial Fractions: MATH 152 Problems 12 & 13Using the method of partial fractions to integrate rational functions

Derivatives and Applications: MATH 151 Problems 9-15Tangent lines to parametric equations and related rates examples

Review for the Common Exam: MATH 151 Exam 2 Review Problems 21-29Related rates problems, differentials, linear and quadratic approximations

Differentials and Approximations: MATH 151 Problems 1-6Differentials, linear approximations and quadratic approximations

Derivatives and Applications: MATH 151 Problems 9-15Tangent lines to parametric equations and related rates examples

Review for the Common Exam: MATH 152 Exam 3 Review Problems 1-3Review of sequences and finding the sum of a series

Volume (Disks, Washers, and by Slicing): MATH 152 Problems 2 & 3Examples finding a volume using disks, washers, and by slicing

Integration by Partial Fractions: MATH 152 Problems 12 & 13Using the method of partial fractions to integrate rational functions

MLC WIR 20B M151 week4 #1eDifferentiating a function with an exponential function and using the Power Rule

MLC WIR 20B M151 week5 #4abFinding the derivative of a function containing an inverse trigonometric function

MLC WIR 20B M151 week5 #4cdFinding the derivative of a function containing an inverse trigonometric function

MLC WIR 20B M151 week7 #4fEvaluating a limit with an indeterminant difference using L'Hospital's Rule

MLC WIR 20B M151 week10 #15Determining the rate that the area of a triangle is increasing based on the rate an angle is increasing

MLC WIR 20B M151 week10 #21Evaluating a definite integral by interpreting it as an area and using geometry

WIR7 20B M251 V5Evaluating a triple integral for a given solid by writing an iterated integral in spherical coordinates

MATH 152: Integration by Parts Exercise 9Using integration by parts twice for an integral with sine and an exponential function

Integrating Powers of Sine and CosineUsing trigonometric identities to integrate powers of sine and cosine

MATH 152: Trigonometric Integrals Exercise 7Using a trigonometric identity to integrate powers of secant and tangent

MATH 152: Trigonometric Integrals Exercise 8Using a trigonometric identity to integrate powers of secant and tangent

MATH 152: Trigonometric Integrals Exercise 5Using trigonometric identities to integrate even powers of sine and cosine

MATH 152: u-Substitution Exercise 7Using u-substitution for an indefinite integral that has the derivative of arctangent

MATH 152: u-Substitution Exercise 8Using u-substitution to solve an indefinite integral with an exponential function

MATH 152: u-Substitution Exercise 4Using u-substitution to evaluate a definite integral with a natural logarithm

MATH 152: Improper Integrals Exercise 2Solving an improper integral where the upper limit of integration is infinity

MATH 152: Improper Integrals Exercise 4Solving an improper integral where the upper limit of integration is infinity

Calculus Exam Review (Limits and Continuity/Differentiability II): MATH 142Review of limits at infinity and continuity of functions

Calculus Exam Review (Continuity and Derivatives): MATH 142Review of continuous functions, the limit definition of the derivative, and instantaneous rate of change

Calculus Exam Review (Continuity and Derivatives): MATH 142Review of continuous functions, the limit definition of the derivative, and instantaneous rate of change

Calculus Exam Review (Derivative Applications): MATH 142Finding a tangent line and approximating marginal cost

Calculus Exam Review (Marginal Revenue): MATH 142Finding marginal revenue and approximating the cost of the next item

Calculus Exam Review (Integration II): MATH 142Review examples covering Riemann Sums and definite integrals

Rates of Change and Secant and Tangent Lines: MATH 142Finding average and instantaneous rates of change and secant and tangent lines

Rates of Change and Secant and Tangent Lines: MATH 142Finding average and instantaneous rates of change and secant and tangent lines

Combining Derivative Rules and Finding Tangent Lines: MATH 142Finding derivatives and tangent lines of complicated functions

Analyzing Functions III (Extrema, Concavity, Inflection Points): MATH 142Determining a functions concavity and inflection points

Analyzing Functions IV (Concavity, Inflection Points, Sketching a Graph): MATH 142Determining concavity and inflection points and sketching the graph

Analyzing Functions (Sketching a Graph): MATH 142Using the Derivative to Sketch the Graph of a Function

Vectors and Derivatives: MATH 171 Problems 1-3Using the limit definition to find derivatives of functions and vector functions

Review for the Common Exam: MATH 151 Exam 1 Review Problems 10-13Review of vector functions and parametric equations

Review for the Common Exam: MATH 151 Exam 1 Review Problems 14-25Review of limits, continuity, and the Intermediate Value Theorem

Continuity: MATH 171 Problems 8 & 9Proving a product of continuous functions is continuous and using the Intermediate Value Theorem

Derivatives and Rates of Change: MATH 171 Problems 1-3Using the limit definition to find derivatives of functions and vector functions

The Derivative as a Function: MATH 171 Problems 1-3Using the limit definition to find derivatives of functions and vector functions

The Derivative as a Function: MATH 171 Problems 4 & 5Using the limit definition to find a derivative and proving the power rule

Differentiation Formulas: MATH 171 Problems 4 & 5Using the limit definition to find a derivative and proving the power rule

Higher Order Derivatives: MATH 171 Problems 4-6Finding a formula for a higher order derivative and a formula for the second derivative of a product

Higher Order Derivatives: MATH 171 Problems 4-6Finding a formula for a higher order derivative and a formula for the second derivative of a product

Implicit Differentiation: MATH 171 Problems 6 & 7Using implicit differentiation to solve a problem and to prove the power rule for rational exponents

Review for the Common Exam: MATH 152 Exam 3 Review Problems 4 & 5Review of using tests to determine if a series is absolutely convergent, convergent, and divergent

Review for the Common Exam: MATH 152 Exam 2 Review Problems 8 & 9Review of improper integrals and the Comparison Theorem

Review for the Common Exam: MATH 152 Exam 3 Review Problems 19 & 20Review of Taylor Polynomials and Taylor's Inequality

Review for the Common Exam: MATH 152 Exam 3 Review Problems 4 & 5Review of using tests to determine if a series is absolutely convergent, convergent, and divergent

Taylor and Maclaurin Series: MATH 172 Problems 1-5Reviewing Taylor and Maclaurin Series and Taylor's Inequality

Representations of Functions as Power Series: MATH 152 Problems 2 & 3Finding power series representations for functions and the radius and interval of convergence of the power series

Cylindrical Shell Method: MATH 172 Problems 1-3Using cylindrical shells to calculate the volume of a rotational solid

Calculating Work Using Integrals: MATH 172 Problems 4 & 5Using integrals to calculate work done in physics examples

Review for the Common Exam: MATH 151 Exam 1 Review Problems 10-13Review of vector functions and parametric equations

Review for the Common Exam: MATH 151 Exam 1 Review Problems 14-25Review of limits, continuity, and the Intermediate Value Theorem

Review for the Common Exam: MATH 152 Exam 3 Review Problems 4 & 5Review of using tests to determine if a series is absolutely convergent, convergent, and divergent

Review for the Common Exam: MATH 152 Exam 2 Review Problems 8 & 9Review of improper integrals and the Comparison Theorem

Review for the Common Exam: MATH 152 Exam 3 Review Problems 19 & 20Review of Taylor Polynomials and Taylor's Inequality

Review for the Common Exam: MATH 152 Exam 3 Review Problems 4 & 5Review of using tests to determine if a series is absolutely convergent, convergent, and divergent

Representations of Functions as Power Series: MATH 152 Problems 2 & 3Finding power series representations for functions and the radius and interval of convergence of the power series

WIR6 20B M150 V06Writing an equivalent algebraic expression for compositions with inverse trigonometric functions containing variables

MLC WIR 20B M151 week2 #03Evaluating a composition of trigonometric and inverse trigonometric functions

WIR 20B M152 V48Determining if a sequence is increasing, decreasing, or not monotonic and if it is bounded

WIR 20B M152 V69Determining if a series is absolutely convergent, conditionally convergent, or divergent.

WIR 20B M152 V70Determining if a series is absolutely convergent, conditionally convergent, or divergent.

MLC WIR 20B M151 week4 #3Using the Chain Rule to evaluate the derivative of a composition of functions

MLC WIR 20B M151 week4 #4Using the Chain Rule to evaluate the derivative of a composition of functions

MLC WIR 20B M151 week6 #16Solving for constants so that a piecewise function is differentiable everywhere

MLC WIR 20B M151 week7 #1bFinding the absolute maximum and absolute minimum values of a function on a closed interval

MLC WIR 20B M151 week7 #2bFinding a number that satisfies the conclusion of the Mean Value Theorem on an interval

MLC WIR 20B M151 week10 #19cUsing L'Hospital's Rule to solve a limit with an indeterminant difference

MLC WIR 20B M151 week10 #23aEvaluating an indefinite integral by simplifying a fraction to powers of x

MLC WIR 20B M151 week10 #17Finding the value for a function that satisfies the Mean Value Theorem on an interval

WIR4 20B M251 V5Finding the maximum rate of change and the direction it occurs for a function of two variables

Solving Equations Symbolically in PythonSolving equations symbolically in Python and interpreting the results

Approximating Definite Integrals with Riemann Sums in PythonUsing Python to approximate a definite integral using left endpoint Riemann sums

MATH 152: Integration by Parts Exercise 7Solving a definite integral with arctangent using integration by parts

MATH 152: Integration by Parts Exercise 8Solving an indefinite integral with an exponential function using integration by parts

MATH 152: Integration by Parts Exercise 1Solving an indefinite integral with an exponential function using integration by parts

MATH 152: Integration by Parts Exercise 2Solving a definite integral with an exponential function using integration by parts

MATH 152: Integration by Parts Exercise 3Solving an indefinite integral with cosine using integration by parts

MATH 152: Integration by Parts Exercise 4Solving an indefinite integral with a natural logarithm using integration by parts

MATH 152: Integration by Parts Exercise 5Solving a definite integral with a natural logarithm using integration by parts

MATH 152: Trigonometric Integrals Exercise 6Using a trigonometric identity to integrate an even power of cosine

Integrating Powers of Secant and TangentUsing trigonometric identities to integrate powers of secant and tangent

MATH 152: u-Substitution Exercise 5Using u-substitution to integrate an indefinite integral containing arcsine

MATH 152: u-Substitution Exercise 2Using u-substitution to evaluate an definite integral with a power of a polynomial in the denominator

MATH 152: Partial Fraction Decomposition Exercise 1Using partial fraction decomposition to rewrite and then integrate a rational function

MATH 152: Partial Fraction Decomposition Exercise 2Using partial fraction decomposition to rewrite and then integrate a rational function

MATH 152: Partial Fraction Decomposition Exercise 3Using partial fraction decomposition to rewrite and then integrate a rational function

MATH 152: Partial Fraction Decomposition Exercise 5Using partial fraction decomposition to rewrite and then integrate a rational function

MATH 152: Partial Fraction Decomposition Exercise 6Using partial fraction decomposition to rewrite and then integrate a rational function

MATH 152: Trigonometric Substitution Exercise 6Using trigonometric substitution to evaluate a definite integral

MATH 152: Trigonometric Substitution Exercise 7Using trigonometric substitution to evaluate an indefinite integral

MATH 152: Trigonometric Substitution Exercise 2Using trigonometric substitution to evaluate an indefinite integral

MATH 140 5.6 #2cFinding the domain of a function that is a fraction containing exponentials and a square root

MATH 152: Improper Integrals Exercise 5Solving an improper integral where the upper limit of integration is infinity

MATH 152: Improper Integrals Exercise 6Solving an improper integral where the upper limit of integration is infinity

MATH 152: Improper Integrals Exercise 1Solving an improper integral where the upper limit of integration is infinity

MATH 152: Improper Integrals Exercise 3Solving an improper integral where the upper limit of integration is infinity

Calculus Exam Review (Limits and Continuity/Differentiability): MATH 142Review of limits, continuity, and differentiability

Calculus Exam Review (Limits at Infinity with Exponentials): MATH 142Examples of calculating infinite limits with exponentials in a rational function

Calculus Exam Review (Average Cost): MATH 142Using the derivative to calculate the average cost of an item

Calculus Exam Review (Curve Sketching): MATH 142Using the first and second derivative to sketch the graph of the function

Using Derivative Rules to Find Rates of Change: MATH 142Using derivatives to find instantaneous rate of change

Business Applications of the Derivative (Revenue, Profit, Cost, Demand): MATH 142Marginal Analysis and Marginal Average Functions

Business Applications of the Derivative (Revenue, Profit, Cost, Demand): MATH 142Marginal Analysis and Marginal Average Functions

Analyzing Functions II (Increasing/Decreasing, Extrema): MATH 142Determining where a function is increasing or decreasing and the relative extrema

Analyzing Functions (Increasing/Decreasing, Extrema): MATH 142Determining where a function is increasing or decreasing and the relative extrema

Absolute Extrema on Closed Intervals: MATH 142Using Critical Values to Find Absolute Extrema on Closed Intervals

Vectors: MATH 151 Problems 1 & 2Basic vector operations such as addition, subtraction, and scalar multiplication

Dot Product: MATH 171 Problems 7 & 8Proofs of the Cauchy-Schwarz Inequality and a property of vector projections

Review for the Common Exam: MATH 151 Exam 1 Review Problems 36-40Review of derivatives and tangent lines to functions and vector equations

Precise Definition of a Limit: MATH 171 Problems 3 & 4Proving limits using the epsilon-delta definition

Precise Definition of a Limit: MATH 171 Problems 5 & 6Proving limits using the epsilon-delta definition

Limits and Asymptotes: MATH 151 Problems 7-11Limits at infinity and asymptotes, along with physics applications

Review for the Common Exam: MATH 151 Exam 1 Review Problems 36-40Review of derivatives and tangent lines to functions and vector equations

Differentiation Formulas: MATH 171 Problems 6 & 7Proving the Product Rule and the rule for the derivative of a difference of functions

Review for the Common Exam: MATH 151 Exam 1 Review Problems 36-40Review of derivatives and tangent lines to functions and vector equations

Differentiation Formulas: MATH 171 Problems 6 & 7Proving the Product Rule and the derivative rule for a difference of functions

Absolute Extrema: MATH 171 Problems 4 & 5Proving Fermat's Theorem and graphing local and absolute extrema

Studying the Shape of Curves: MATH 171 Problems 1-3What the derivatives of a function tell us about the shape of its graph

Review for the Common Exam: MATH 152 Exam 3 Review Problem 6Review of estimating the sum of a series and the remainder

Review for the Common Exam: MATH 152 Exam 3 Review Problem 9Review of finding the radius and interval of convergence for a power series

Volume of a Solid: MATH 172 Problems 4-6Using the disk and washer method to calculate the volume of rotational solids

Average Value of a Function: MATH 172 Problems 6-8Calculating the average value of a function and proving the Mean Value Theorem for Integrals

Integration by Partial Fractions: MATH 152 Problem 11Using the method of partial fractions to integrate rational functions

Arc Length of a Curve: MATH 172 Problems 3 & 4Deriving and using the formula for the arc length of a curve

Hydrostatic Force: MATH 172 Problems 6 & 7Using Riemann Sums and Integrals to calculate hydrostatic force

Vectors: MATH 151 Problems 1 & 2Basic Vector Operations such as Addition, Subtraction, and Scalar Multiplication

Review for the Common Exam: MATH 151 Exam 1 Review Problems 36-40Review of derivatives and tangent lines to functions and vector equations

Limits and Asymptotes: MATH 151 Problems 7-11Limits at infinity and asymptotes, along with physics applications

Review for the Common Exam: MATH 151 Exam 1 Review Problems 36-40Review of derivatives and tangent lines to functions and vector equations

Review for the Common Exam: MATH 152 Exam 3 Review Problem 6Review of estimating the sum of a series and the remainder

Review for the Common Exam: MATH 152 Exam 3 Review Problem 9Review of finding the radius and interval of convergence for a power series

Integration by Partial Fractions: MATH 152 Problem 11Using the method of partial fractions to integrate rational functions

WIR 20B M152 V49Determining if a sequence is increasing, decreasing, or not monotonic and if it is bounded

MLC WIR 20B M151 week2 #08Evaluating left and right limits of a fraction containing an absolute value

MLC WIR 20B M151 week2 #11Solving for the values for constants to make a piecewise function is continuous

MLC WIR 20B M151 week3 #18Solving for the value of a constant that makes a function is continuous everywhere

MLC WIR 20B M151 week5 #10Finding the points on a parametric curve where the tangent line is horizontal or vertical

MLC WIR 20B M151 week6 #8Finding the point when the tangent line to a function has a particular slope

MLC WIR 20B M151 week6 #13Finding where the tangent line is horizontal or vertical for a parametric equation

MLC WIR 20B M151 week7 #1aFinding the absolute maximum and absolute minimum values of a function on a closed interval

MLC WIR 20B M151 week7 #2aFinding a number that satisfies the conclusion of the Mean Value Theorem on an interval

MLC WIR 20B M151 week9 #9Finding a number that satisfies the conclusion of the Mean Value Theorem for a function on an interval

MLC WIR 20B M151 week9 #2Using the derivative to determine where a function is increasing and decreasing

MLC WIR 20B M151 week9 #3Finding the absolute maximum and minimum values of a function on a closed interval

MLC WIR 20B M151 week9 #4Finding the intervals where a function is increasing and decreasing and its local maximums and minimums

MLC WIR 20B M151 week9 #5Finding where a function is increasing, decreasing, concave up and concave down and its local extrema and inflection points

MLC WIR 20B M151 week9 #6Finding where a function is increasing, decreasing, concave up and concave down and its local extrema and inflection points

MLC WIR 20B M151 week9 #7Finding where a function is increasing, decreasing, concave up and concave down and its local extrema and inflection points

MLC WIR 20B M151 week9 #13Using a limit of Riemann sums to write an expression for the area under a graph

MLC WIR 20B M151 week9 #14aEvaluating a definite integral by using geometry to find the area under the curve

MLC WIR 20B M151 week9 #14bEvaluating a definite integral by using geometry to find the area under the curve

MLC WIR 20B M151 week10 #6cUsing L'Hospital's Rule to evaluate a limit representing a derivative at a point

MLC WIR 20B M151 week10 #8dEvaluating the limit at negative infinity of a fraction with exponential functions

MLC WIR 20B M151 week10 #13Finding when the tangent line to a parametric curve is vertical or horizontal

WIR1 20B M251 V15Calculating the length of the cross product of two vectors given information about the vectors

WIR4 20B M251 V9Finding the absolute maximum and minimum values of a function of two variables on a rectangle

WIR4 20B M251 V10Finding the absolute maximum and minimum values of a function of two variables on a triangular region

WIR8 20B M251 V8Using a line integral to find the work done by a force field moving a particle along a curve

WIR8 20B M251 V11Using the Fundamental Theorem of Line Integrals to evaluate a line integral of a vector field

WIR8 20B M251 V12Using the Fundamental Theorem of Line Integrals to evaluate a line integral of a vector field

WIR8 20B M251 V13Using the Fundamental Theorem of Line Integrals to evaluate a line integral of a vector field

WIR10 20B M251 V7Using Stokes' Theorem to express a surface integral of the curl of a vector field as a single integral

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

Finding and Graphing Tangent Lines to a Curve in PythonUsing Python to find the equation of the tangent line to a curve and graphing the result

Finding Horizontal Tangent Lines in PythonFinding when the tangent line to a function is horizontal in Python

List Comprehension and Patterns in Higher Derivatives in PythonUsing Python's list comprehension tool to find several higher order derivatives of a function at once

Parametric Plots and Tangents at a Given t-value in PythonUsing Python to find the tangent line to a parametric equation and plot the two graphs

Finding Intervals of Increase/Decrease and Concavity in PythonUsing Python to find the intervals where a function is increasing or decreasing

Creating and Manipulating Symbolic Expressions in PythonCreating symbolic expression in Python and then factoring, expanding, and simplifying the expressions

Areas Between Curves in PythonUsing Python to identify the region between curves and then evaluate the area of the region

Calculating Work in Python: Pumping Liquid from a TankVideo 24 in a series of Python instructional videos

Generating and Plotting Sequences in PythonUsing Python to numerically, graphically, and analytically find the limit of a sequence

Plotting a Function and Partial Sums of its Power Series in PythonVideo 29 in a series of Python instructional videos

MATH 308 WIR22A V15Solving an initial value problem including air resistance for the path of a thrown ball to determine the maximum height it reaches

The Chain Rule (multivariable) Exercise V3Using the Chain Rule for multivariable functions to find the rate a volume is changing

Linear Algebra for Math 308: L2V9Explaining how to find the derivative and integral of matricx and vector functions

Linear Algebra for Math 308: L7V2Showing how the exponential function is the solution to an initial value problem

Area with Reimann Sums and the Definite IntegralThe definition of the Riemann Sum and how it relates to a definite integral

Integrating Along y-axis for Area Between Curves Determining whether its easier to integrate along the \(x\) or \(y\)-axis to find the area between curves

Area Between Curves Using Multiple IntegralsUsing multiple integrals to find the area between two curves