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

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

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 16-20Derivatives of parametric equations and tangent lines

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

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 2 Review Problems 1-9Reviewing the chain rule and the derivatives and limits of 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 2 Review Problems 1-9Reviewing the chain rule and the derivatives and limits of 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

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 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 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

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

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

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

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 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

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

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

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

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

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

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

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

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

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

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

MLC WIR 20B M151 week3 #12Find the Cartesian form and sketch the graph for the parametric equation of a line

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 week10 #13Finding when the tangent line to a parametric curve is vertical or horizontal

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 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

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

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

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

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

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

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

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 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

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

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

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

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

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

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

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

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

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 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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 21-29Related rates problems, differentials, linear and quadratic approximations

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

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

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

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

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

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

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

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

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

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

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

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 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 21-29Related rates problems, differentials, linear and quadratic approximations

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

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

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

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 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 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 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

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

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

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

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

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

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

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

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

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