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 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 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 1 Review Problems 26-35Review of the limit definition of a derivative and calculating the derivative

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

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

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

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 1 Review Problems 14-25Review of limits, continuity, and the Intermediate Value Theorem

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 1-9Reviewing the chain rule and the derivatives and limits of trigonometric functions

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

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

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

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

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 151 Exam 3 Review Problems 8-15Review of limits and derivatives of inverse trigonometric functions

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 1-9Reviewing the chain rule and the derivatives and limits of trigonometric functions

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

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

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

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 36-40Review of derivatives and tangent lines to functions and vector equations

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

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 15-19Mean Value Theorem and using derivatives to find the shape of curves

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

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 151 Exam 1 Review Problems 36-40Review of derivatives and tangent lines to functions and vector equations

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 151 Exam 2 Review Problems 16-20Derivatives of parametric equations and tangent lines

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Differentiation Formulas: MATH 171 Problems 6 & 7Proving the Product Rule and the derivative rule for a difference of 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 171 Problems 4 & 5Using the Chain Rule to prove facts about derivatives

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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 #13Finding where the tangent line is horizontal or vertical for a parametric equation

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

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 #13Finding when the tangent line to a parametric curve is vertical or horizontal

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

Implicit Plots and Implicit Differentiation in PythonUsing Python to plot an implicit curve and find a tangent line using implicit differentiation

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

MATH 140 5.5 #2Finding the piecewise-defined function for a given graph along with its domain and range

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

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

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

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

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

Analyzing Functions (More Curve Sketching): MATH 142Using Information From the Derivative to Sketch a Graph

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

Vector Functions: MATH 171 Problems 1 & 2Proving a certain parameterization gives the unit circle and showing vector equations of lines are parallel

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

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.

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

Limits and Asymptotes: MATH 171 Problems 1 & 2Proving the values of limits as x approaches infinity using the epsilon-delta definition

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

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

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

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 10-13Review of vector functions and parametric equations

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

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

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

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 #12Find the Cartesian form and sketch the graph for the parametric equation of a line

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

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

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

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

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

MLC WIR 20B M151 week7 #2aFinding a number that satisfies the conclusion of the Mean Value Theorem on an 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 week7 #4fEvaluating a limit with an indeterminant difference using L'Hospital's Rule

MLC WIR 20B M151 week9 #8bEvaluating a limit with an indeterminate difference using a common denominator

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

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

WIR2 20B M251 V3Finding an equation of the plane containing two given lines in three-dimensional space

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

List Comprehension and Numerical, Graphical, and Symbolic Limits in PythonUsing Python to numerically estimate a limit, graphically estimate a limit, and find the exact limit

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

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

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

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

Calculating Limits Graphically and Numerically: MATH 142Graphical and Numerical Techniques for Limits

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

Initial Value Problems: MATH 142Integrating to find a function from its derivative and an initial condition

Vectors: MATH 171 Problems 3 & 4Using vectors to prove the midpoint formula and a fact about quadrilaterals

Vectors: MATH 171 Problems 5 & 6Using vectors to prove facts about equilateral triangles and a scalar multiplication property for the dot product

Vectors: MATH 171 Problems 5 & 6Using vectors to prove facts about equilateral triangles and a scalar multiplication property for the dot product

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

Dot Product: MATH 171 Problems 9 & 10Proving the Triangle Inequality and a property of the midpoints of rectangles

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

Limits and Asymptotes: MATH 171 Problem 5Proving a property for the limit of the difference of functions as x approaches infinity

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

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 1 Review Problems 29-33Review of trigonometric substitution

Limit of a Sequence: MATH 172 Problems 1-5Using the precise definition for the limit of a sequence and proving the Squeeze Theorem

Monotone Sequence Theorem: MATH 172 Problems 6-8Using the Monotone Sequence Theorem and induction to show a sequence coverges

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

Alternating Series and Ratio Tests: MATH 172 Problems 8-10Proving the Alternating Series and Ratio Test and covers absolute convergence

Alternating Series and Ratio Tests: MATH 172 Problems 8-10Proving the Alternating Series and Ratio Test and covering absolutely convergent

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

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

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

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

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

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

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

Improper Integrals: MATH 172 Problems 3-5Definition of Improper Integrals and using the Comparison Theorem to determine convergence or divergence

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

Separable Differential Equations: MATH 172 Problems 6 & 7Solving separable differential equations involving Newton's Law of Cooling and orthogonal trajectories

Linear Differential Equations: MATH 172 Problems 1 & 2Solving first order linear differential equations

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

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

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

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

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

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

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

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

MLC WIR 20B M151 week2 #04Simplifying expressions containing 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 V71Determining if a series is absolutely convergent, conditionally convergent, or divergent.

WIR 20B M152 V72Determining if a series is absolutely convergent, conditionally convergent, or divergent.

WIR 20B M152 V68Determining if a series is absolutely convergent, conditionally convergent, or divergent.

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

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

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 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 week6 #1ijDifferentiating functions with logarithmic and inverse trigonometric functions

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 #1bFinding the absolute maximum and absolute minimum values of a function on a closed interval

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

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 week10 #8dEvaluating the limit at negative infinity of a fraction with exponential functions

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

WIR1 20B M251 V8Calculating the dot product for three-dimensional vectors given the vectors' lengths and the angle between them

WIR1 20B M251 V11Finding the scalar and vector projection of one three-dimensional vector onto another

WIR1 20B M251 V13Using the cross product to find a vector orthogonal to the plane defined by three points

WIR1 20B M251 V14Using the cross product to find the area of a parallelogram in three-dimensional space

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

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

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

WIR5 20B M251 V11Setting up double integrals of Type I and II to give the volume of a solid under a surface

WIR6 20B M251 V5Writing an iterated integral in polar coordinates that gives the volume of the solid that lies below a paraboloid

WIR6 20B M251 V6Writing an iterated integral in polar coordinates that gives the volume of the solid bounded by a cone

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

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

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

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

Generating and Plotting Partials Sums of a Series in PythonUsing Python to calculate the partial sums of a series to estimate the value of the series

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

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

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

Word Problems and the Algorithmic Process for Multistep Problem Solving in PythonSolving a multistep word problem in Python and graphing the resulting function

Simplifying Difference Quotients in PythonUsing Python to simplify a difference quotient and find a derivative using the limit definition

Functions of Several Variables Conceptual V1Introducing functions of several variables and level curves

Functions of Several Variables Exercise V1Evaluating and then finding and sketching the domain of a function of two variables

Functions of Several Variables Exercise V2Finding and sketching the domain of a function of two variables

Partial Derivatives Conceptual V1.2Explanation of partial derivatives for functions with more than one variable

Partial Derivatives Exercise V3Example of finding a partial derivative of a function with two variables

Tangent Planes and Linear Approximations Conceptual V1.1Explaining tangent planes for functions of two variables and how to calculate them

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

Maximum and Minimum Value (multivariable) Conceptual V3Explaining the Extreme Value Theorem for functions of two variables and how to find the absolute maximum and minimum on a closed bounded region

Linear Algebra for Math 308: L1V1Explaining the definitions of real and complex vectors with examples

Linear Algebra for Math 308: L1V6Explaining the concepts of existence and uniqueness for solutions of systems of equations

Linear Algebra for Math 308: L1V8Explaining two vectors are linearly dependent if and only if they are scalar multiples

Linear Algebra for Math 308: L1V12Using linear independence to show the uniqueness of a vector equation solution

Linear Algebra for Math 308: L2V3Defining multiplication of a matrix and vector and then giving an example

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

Deriving the Integration by Parts FormulaDeriving the formula for integration by parts using the product rule

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

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 9Using trigonometric identities to integrate powers of cosine and tangent

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