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

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

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

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

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 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 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 10-15Implicit differentiation and physics applications of derivatives

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 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 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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 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

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 1-7Derivatives of exponential functions and the exponential model

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

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

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

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 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

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

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

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 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

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

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

Plotting Expressions and Solving Equations Numerically in PythonVideo 5 in a series of Python instructional videos

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

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

Tangents to Parametrized Curves at a Given Point in PythonVideo 17 in a series of Python instructional videos

Finding Absolute (Global) Extrema in PythonUsing Python to find the absolute maximum and minimum of a function on a closed interval

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

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

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

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

For Loops and Recursive Sequences in PythonUsing for loops in Python to generate a recursively defined sequence

Radius and Interval of Convergence in PythonUsing Python to find the radius and interval of convergence of a power series with the Ratio Test

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

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

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