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Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative

Limits: MATH 151 Problems 6-20

Evaluating limits of functions

Limits: MATH 151 Problems 6-20

Evaluating Limits of Functions

Review for the Common Exam: MATH 151 3.1 Exam 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative

Review for the Common Exam: MATH 151 3.2 Exam 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative

Studying the Shape of Curves: MATH 151 4.1 Problems 2-7

Using derivatives to find properties of graphs

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

Using derivatives to find properties of graphs

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative

Limits: MATH 151 Problems 6-20

Evaluating limits of functions

Limits: MATH 151 Problems 6-20

Evaluating Limits of Functions

Continuity: MATH 171 Problems 6 & 7

Proving a piecewise function and a polynomial are continuous

Review for the Common Exam: MATH 151 3.1 Exam 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative

Review for the Common Exam: MATH 151 3.2 Exam 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative

Studying the Shape of Curves: MATH 151 4.1 Problems 2-7

Using derivatives to find properties of graphs

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

Using derivatives to find properties of graphs

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative

MATH 140 2.2 Exercise 1

Writing a function for the value of an item depreciating linearly over time

MATH 140 5.7 Exercise 1

Identifying the parent function and transformations for a given graph

Evaluating Limits from a Graph

Finding limits from the graph of a piecewise function

Where the Graph of a Function is Not Continuous

Determining where a piecewise function is continuous from its graph

Review for the Common Exam: MATH 151 Exam 1 Review Problems 14-25

Review of limits, continuity, and the Intermediate Value Theorem

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

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

Continuity: MATH 151 2.5 Problems 1-6

Continuity of Functions and the Intermediate Value Theorem

Approximations and Exponentials: MATH 151 2.6 Problems 7-14

Approximation and Newton's Method, and limits and derivatives of exponential functions

Approximations and Exponentials: MATH 151 3.4 Problems 7-14

Approximation and Newton's Method, and limits and derivatives of exponential functions

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

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

Continuity: MATH 151 2.5 Problems 1-6

Continuity of Functions and the Intermediate Value Theorem

Approximations and Exponentials: MATH 151 2.6 Problems 7-14

Approximation and Newton's Method, and limits and derivatives of exponential functions

Approximations and Exponentials: MATH 151 3.4 Problems 7-14

Approximation and Newton's Method, and limits and derivatives of exponential functions

Creating and Manipulating Symbolic Expressions in Python

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

Implicit Plots and Implicit Differentiation in Python

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

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

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

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

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

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

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

Finding and Graphing Tangent Lines to a Curve in Python

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

Review for the Common Exam: MATH 151 Exam 1 Review Problems 14-25

Review of limits, continuity, and the Intermediate Value Theorem

MATH 140 2.1 Exercise 7

Graphing a line without using technology

MATH 140 2.1 Exercise 8

Graphing a line without using technology

MATH 140 2.1 Exercise 9

Graphing a line without using technology

MATH 140 Exam 1 Review #3

Writing a linear function representing the depreciation of a car

MATH 140 Exam 1 Review #13

Finding the solution to a system of linear equations by graphing

MATH 140 3.2 Exercise 1

Graphing the solution set of an inequality with two variables

MATH 140 3.2 Exercise 2

Graphing the solution set of an inequality with two variables

MATH 140 3.2 Exercise 4

Graphing the solution set of system of linear inequalities

Math 140 3.2 Video 1

Explaining how to graph linear inequalities

MATH 140 3.2 Exercise 3

Graphing two linear inequalities

Math 140 3.2 Exercise 8

Sketching the solution set and finding the corner points for a system of linear inequalities

MATH 140 5.1 Exercise 5

Using a graph to find specific values of a function

MATH 140 5.2 Exercise 1

Determining if functions are polynomials and finding their properties

MATH 140 5.2 Exercise 2

Determining the end behavior, real zeros, domain, and y-intercept for a polynomial

MATH 140 5.2 Exercise 3

Determining the end behavior, real zeros, domain, and y-intercept for a polynomial

MATH 140 5.2 Exercise 4

Determining the end behavior, real zeros, domain, and y-intercept for a polynomial

MATH 140 5.2 Exercise 5

Determining the end behavior, real zeros, domain, and y-intercept for a polynomial

MATH 140 5.2 Exercise 6

Determining the end behavior, real zeros, domain, and y-intercept for a polynomial

MATH 140 5.5 Exercise 1

Finding the domain of a piecewise function and evaluating it

MATH 140 5.5 Exercise 2

Finding the piecewise-defined function for a given graph along with its domain and range

MATH 140 5.5 Exercise 3

Graphing a piecewise function

MATH 140 5.5 Exercise 4

Writing an absolute value function as a piecewise-defined function

MATH 140 5.5 Exercise 5

Writing a piecewise-defined function for a word problem

MATH 140 5.7 Exercise 4

Identifying the parent function and transformations for a given graph

MATH 140 5.7 Exercise 7

Drawing the graph of a transformed function given the original graph

MATH 140 5.7 Exercise 8

Evaluating compositions of two given functions and the graph of a third function

MATH 140 5.7 Exercise 2

Identifying the parent function and transformations for a given graph

MATH 140 5.7 Exercise 3

Identifying the parent function and transformations for a given graph

MATH 140 5.8 Exercise 3

Using the Horizontal Line Test to determine if graphs represent invertible functions

MATH 140 5.3 Exercise 10

Finding the difference quotient for a quadratic function

Limit of a Piecewise Function

Finding one and two-sided limits for a piecewise function algebraically

Continuity of a Piecewise Function

Determining where a piecewise function is continuous algebraically

Solving for a Constant so a Piecewise Function is Continuous

Solving for a constant to make a piecewise-defined function continuous for all real numbers

Finding the Derivative of a Polynomial Using the Limit Definition

Using the limit definition to find the derivative of a polynomial

Determining Where the Derivative Exists From a Graph

Determining where the derivative of a function does not exist from a graph

Intermediate Value Theorem and Bisection Method Example

Using the Intermediate Value Theorem and Bisection Method to approximate the solution of an equation

Derivatives of Exponential Functions Example 1

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

Definition of a Double-Log Plot

Explaining the definition of logarithmic scale and double-log plots

Definition of a Semilog Plot

Explaining the logarithmic scale and a semilog plot

Double-Log Plot Example 1

Using logarithms to transform a power function into a linear function

Semilog Plot Example 1

Using logarithms to transform an exponential function to a linear function

Sandwich Theorem (or Squeeze Theorem)

Explaining the Sandwich (or Squeeze) Theorem with a graphical example

Sandwich Theorem Example

Solving a limit at infinity using the Sandwich (or Squeeze) Theorem

WIR1 20B M150 V15

Factoring a polynomial

WIR8 20B M150 V02

Factoring a quadratic

WIR1 20B M150 V16

Dividing rational expressions and simplifying

WIR1 20B M150 V17

Subtracting rational expressions and simplifying

WIR1 20B M150 V18

Performing operations with rational expressions and simplifying

WIR8 20B M150 V04

Performing operations with rational expressions and simplifying

WIR2 20B M150 V6

Solving a polynomial equation using factoring by grouping

WIR2 20B M150 V9

Evaluating a piecewise function

WIR2 20B M150 V13

Identifying the parent function and transformations of a function

WIR2 20B M150 V14

Identifying the parent function and transformations of a function

WIR3 20B M150 V4

Finding the end behavior of a polynomial

WIR3 20B M150 V5

Finding the end behavior of a polynomial

WIR3 20B M150 V6

Finding the end behavior of a polynomial

WIR3 20B M150 V7

Finding properties of a polynomial including zeros and end behavior

WIR3 20B M150 V8

Finding properties of a polynomial including zeros and end behavior

WIR3 20B M150 V9

Finding properties of a polynomial including zeros and end behavior

WIR3 20B M150 V10

Using properties of a polynomial to find its graph

WIR3 20B M150 V11

Calculating polynomial long division

WIR3 20B M150 V13

Determining the properties of a rational function and graphing it

WIR8 20B M150 V09

Determining the properties of a rational function and graphing it

WIR3 20B M150 V15

Solving a nonlinear inequality

WIR3 20B M150 V19

Graphically verifying if two functions are inverses

WIR3 20B M150 V20

Restricting the domain of a function so it is one-to-one and has an inverse

WIR3 20B M150 V21

Determining algebraically the inverse of a function

WIR3 20B M150 V22

Determining algebraically the inverse of a function

WIR3 20B M150 V23

Determining algebraically the inverse of a function

WIR4 20B M150 V1

Determining properties of an exponential function

WIR4 20B M150 V2

Determining properties of an exponential function

WIR4 20B M150 V3

Determining properties of an exponential function

WIR4 20B M150 V4

Identifying the graph of an exponential function

WIR8 20B M150 V10

Determining properties of an exponential function

WIR4 20B M150 V8

Determining the graph of a logarithmic function

WIR4 20B M150 V10

Determining the graph of a logarithmic function

WIR5 20B M150 V13

Determining the properties of a sine function and graphing it

WIR5 20B M150 V15

Determining the properties of a cosine function and graphing it

WIR5 20B M150 V17

Writing the equation for a sine function to match a given graph

WIR5 20B M150 V18

Writing the equation for a cosine function to match a given graph

WIR7 20B M150 V06

Adding and subtracting vectors graphically

WIR6 20B M150 V01

Finding the properties of a transformed tangent function and graphing it

WIR2 20B M150 V11

Using a graph to evaluate a function

WIR2 20B M150 V12

Determining if a function is even or odd

Parametric Curves: MATH 151 J.3 Problems 1-5

Cartesian equations and parametric equations of curves

Vectors and Derivatives: MATH 151 K.1 Problems 1-8

Derivatives and vectors with some physics applications

Review for the Common Exam: MATH 151 Exam 2 Review Problems 1-9

Reviewing the chain rule and the derivatives and limits of trigonometric functions

Review for the Common Exam: MATH 151 Exam 2 Review Problems 21-29

Related rates problems, differentials, linear and quadratic approximations

Review for the Common Exam: MATH 151 Exam 1 Review Problems 36-40

Review of derivatives and tangent lines to functions and vector equations

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

Antiderivatives and physics applications

Inverse Trigonometric Functions: MATH 151 1.5 Problems 9-12

Properties and derivatives of inverse trigonometric functions

Review for the Common Exam: MATH 151 3.1 Exam 1 Review Problems 36-40

Review of derivatives and tangent lines to functions and vector equations

Differentials and Approximations: MATH 151 3.10 Problems 1-6

Differentials, linear approximations and quadratic approximations

Review for the Common Exam: MATH 151 3.2 Exam 1 Review Problems 36-40

Derivatives and tangents to curves

Trigonometry Derivatives and the Chain Rule: MATH 151 3.3 Problems 1-9

Derivatives of trigonometric functions and using the Chain Rule

Trigonometry Derivatives and the Chain Rule: MATH 151 3.4 Problems 1-9

Derivatives of trigonometric functions and using the Chain Rule

Vectors and Derivatives: MATH 151 3.4 Problems 1-8

Derivatives and vectors with some physics applications

Inverse Trigonometric Functions: MATH 151 Problems 9-12

Properties and derivatives of inverse trigonometric functions

Vectors and Derivatives: MATH 151 3.7 Problems 1-8

Derivatives and vectors with some physics applications

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

Mean Value Theorem and properties of a graph

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

Mean Value Theorem and properties of a graph

Riemann Sums: MATH 151 5.1 Problems 1-5

Riemann sums, including approximating areas under curves.

Riemann Sums and Definite Integrals: MATH 151 5.2 Problems 6-12

Using Reimann sums and the Fundamental Theorem of Calculus

Riemann Sums and Definite Integrals: MATH 151 5.3 Problems 6-12

Using Riemann sums and the Fundamental Theorem of Calculus

MLC WIR 20B M151 week2 #01

Converting parametric equations into a Cartesian equation and graphing

MLC WIR 20B M151 week2 #09

Evaluating one-sided and two-sided limits of a piecewise

MLC WIR 20B M151 week2 #10

Explaining why a piecewise function is discontinuous at a point

MLC WIR 20B M151 week2 #11

Solving for the values for constants to make a piecewise function is continuous

MLC WIR 20B M151 week3 #04

Finding a Cartesian equation for a parametric equation and graphing it

MLC WIR 20B M151 week3 #12

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

MLC WIR 20B M151 week3 #17

Using the graph of a function to sketch a graph of its derivative

MLC WIR 20B M151 week4 #1ab

Differentiating functions using the Power Rule

MLC WIR 20B M151 week4 #1cd

Differentiating a function using the Power Rule

MLC WIR 20B M151 week4 #1e

Differentiating a function with an exponential function and using the Power Rule

MLC WIR 20B M151 week4 #1f

Using the Product Rule to differentiate a function

MLC WIR 20B M151 week4 #1h

Using the Quotient Rule to differentiate a rational function

MLC WIR 20B M151 week4 #1i

Using the Product Rule to differentiate a function

MLC WIR 20B M151 week4 #1j

Using the Product and Quotient Rules to differentiate a function

MLC WIR 20B M151 week4 #2a

Using the Product Rule to find a first and second derivative

MLC WIR 20B M151 week4 #1kl

Using the Chain Rule to differentiate functions

MLC WIR 20B M151 week4 #7

Finding the derivatives of compositions of functions from their graphs

MLC WIR 20B M151 week6 #16

Solving for constants so that a piecewise function is differentiable everywhere

MLC WIR 20B M151 week8 #4a

Finding the antiderivative of a polynomial

MLC WIR 20B M151 week8 #4b

Finding the antiderivative of a polynomial

MLC WIR 20B M151 week8 #5a

Finding a function from its second derivative using antidifferentiation

MLC WIR 20B M151 week8 #5d

Antidifferentiating to find a function from its derivative

MLC WIR 20B M151 week8 #5f

Antidifferentiating twice to find a function from its second derivative

MLC WIR 20B M151 week8 #6

Using antidifferentiation to find the height of a cliff from the impact speed of a dropped stone

MLC WIR 20B M151 week9 #1

Determining the properties of a function from the graph of its derivative

MLC WIR 20B M151 week9 #10a

Finding the antiderivative of a polynomial

MLC WIR 20B M151 week9 #10e

Antidifferentiating twice to find a function from its second d

MLC WIR 20B M151 week9 #10f

Antidifferentiating twice to find a function from its second d

MLC WIR 20B M151 week10 #7

Solving for a constant so that a piecewise function is continuous

MLC WIR 20B M151 week10 #24a

Evaluating a definite integral containing a polynomial

MLC WIR 20B M151 week10 #24d

Using u-substitution to evaluate an indefinite integral

MLC WIR 20B M151 week10 #24e

Using u-substitution to evaluate an indefinite integral

Review for the Common Exam: MATH 152 Exam 1 Review Problems 11-14

Review of work and average value

WIR 20B M152 V84

Converting parametric equations into a Cartesian equation and graphing

WIR 20B M152 V85

Converting parametric equations into a Cartesian equation and graphing

WIR 20B M152 V86

Converting parametric equations into a Cartesian equation and graphing

WIR 20B M152 V87

Converting parametric equations into a Cartesian equation and graphing

MATH 152: Area Exercise 1

Finding the area of a region bounded by two curves

Parametric Curves: MATH 151 J.3 Problems 1-5

Cartesian equations and parametric equations of curves

Vectors and Derivatives: MATH 151 K.1 Problems 1-8

Derivatives and vectors with some physics applications

Vectors and Derivatives (Product Rule): MATH 171 Problems 1-3

Proving facts about the derivatives of vector functions including the product rule

Derivatives and Applications: MATH 171 Problems 7 & 8

Calculating slopes of tangent lines to parametric curves

Review for the Common Exam: MATH 151 Exam 2 Review Problems 1-9

Reviewing the chain rule and the derivatives and limits of trigonometric functions

Review for the Common Exam: MATH 151 Exam 2 Review Problems 21-29

Related rates problems, differentials, linear and quadratic approximations

Review for the Common Exam: MATH 151 Exam 1 Review Problems 36-40

Review of derivatives and tangent lines to functions and vector equations

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

Antiderivatives and physics applications

Inverse Trigonometric Functions: MATH 151 1.5 Problems 9-12

Properties and derivatives of inverse trigonometric functions

Inverse Trigonometric Functions: MATH 171 Problems 4-6

Properties of inverse trig functions and the derivative of arctangent

Continuity: MATH 171 Problems 8 & 9

Proving a product of continuous functions is continuous and using the Intermediate Value Theorem

Derivatives and Rates of Change: MATH 171 Problems 1-3

Using the limit definition to find derivatives of functions and vector functions

Differentiation Formulas: MATH 171 Problems 4 & 5

Using the limit definition to find a derivative and proving the power rule

Review for the Common Exam: MATH 151 3.1 Exam 1 Review Problems 36-40

Review of derivatives and tangent lines to functions and vector equations

Differentials and Approximations: MATH 151 3.10 Problems 1-6

Differentials, linear approximations and quadratic approximations

Review for the Common Exam: MATH 151 3.2 Exam 1 Review Problems 36-40

Derivatives and tangents to curves

Trigonometry Derivatives and the Chain Rule: MATH 151 3.3 Problems 1-9

Derivatives of trigonometric functions and using the Chain Rule

Trigonometry Derivatives and the Chain Rule: MATH 151 3.4 Problems 1-9

Derivatives of trigonometric functions and using the Chain Rule

Vectors and Derivatives: MATH 151 3.4 Problems 1-8

Derivatives and vectors with some physics applications

Trigonometry Derivatives and the Chain Rule: MATH 171 Problems 4 & 5

Using the Chain Rule to prove facts about derivatives

Implicit Differentiation: MATH 171 Problems 6 & 7

Using implicit differentiation to solve a problem and to prove the power rule for rational exponents

Inverse Trigonometric Functions: MATH 151 Problems 9-12

Properties and derivatives of inverse trigonometric functions

Mean Value Theorem: MATH 171 Problems 6-8

Using the Mean Value Theorem to prove facts about functions

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

Mean Value Theorem and properties of a graph

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

Mean Value Theorem and properties of a graph

Studying the Shape of Curves: MATH 171 Problems 1-3

What the derivatives of a function tell us about the shape of its graph

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

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

Optimization: MATH 171 Problems 1-3

Optimizing values in word problems

Riemann Sums: MATH 151 5.1 Problems 1-5

Riemann sums, including approximating areas under curves.

Riemann Sums and Definite Integrals: MATH 151 5.2 Problems 6-12

Using Reimann sums and the Fundamental Theorem of Calculus

Definite Integrals: MATH 171 Problems 5-9

The definition and properties of definite integrals

Fundamental Theorem of Calculus: MATH 171 Problems 1-3

Proving and then applying the Fundamental Theorem of Calculus

Riemann Sums and Definite Integrals: MATH 151 5.3 Problems 6-12

Using Riemann sums and the Fundamental Theorem of Calculus

Review for the Common Exam: MATH 152 Exam 1 Review Problems 11-14

Review of work and average value

WIR1 20B M251 V1

Showing how an equation in three dimensional space represents a plane

WIR2 20B M251 V4

Identifying the equation of a hyperboloid and sketching its graph

WIR2 20B M251 V5

Identifying the equation of a cone in three dimensions and sketching its graph

WIR2 20B M251 V7

Finding the limit of a three-dimensional vector function

WIR2 20B M251 V8

Finding a vector equation for the tangent line to a three-dimensional vector function

WIR2 20B M251 V9

Finding the angle of intersection for two three-dimensional vector functions

WIR3 20B M251 V1

Finding and sketching the domain of a function of two variables

WIR3 20B M251 V2

Finding and sketching the domain of a function of two variables

WIR3 20B M251 V3

Sketching the graph of a function of two variables

WIR3 20B M251 V4

Sketching the graph of a function of two variables

WIR3 20B M251 V5

Sketching the level curves of a function of two variables

WIR3 20B M251 V6

Sketching the level curves of a function of two variables

WIR3 20B M251 V7

Describing the level surfaces of a function of three variables

WIR5 20B M251 V6

Evaluating a double integral over a given region

WIR5 20B M251 V7

Evaluating a double integral over a given region

WIR5 20B M251 V8

Evaluating a double integral and sketching the region of integration

WIR5 20B M251 V9

Changing the order of integration for a double integral

WIR5 20B M251 V10

Evaluating a double integral by reversing the order of integration

WIR5 20B M251 V11

Setting up double integrals of Type I and II to give the volume of a solid under a surface

WIR6 20B M251 V1

Evaluating a double integral over a circular region by changing to polar coordinates

WIR6 20B M251 V2

Evaluating a double integral by changing to polar coordinates

WIR6 20B M251 V3

Evaluating a double integral by changing to polar coordinates

WIR6 20B M251 V4

Converting a double integral to a double integral in polar coordinates

WIR6 20B M251 V5

Writing an iterated integral in polar coordinates that gives the volume of the solid that lies below a paraboloid

WIR6 20B M251 V6

Writing an iterated integral in polar coordinates that gives the volume of the solid bounded by a cone

WIR6 20B M251 V7

Writing an a triple integral over a given solid as an iterated integral

WIR6 20B M251 V8

Evaluating a triple integral over a solid bounded by given surfaces

WIR6 20B M251 V9

Writing an iterated integral that gives the volume of a solid

WIR7 20B M251 V1

Evaluating a triple integral over a solid bounded by elliptic paraboloids

WIR7 20B M251 V2

Writing a triple integral as an iterated integral in cylindrical coordinates

WIR7 20B M251 V3

Converting an iterated triple integral into cylindrical and spherical coordinates

WIR7 20B M251 V4

Using an iterated integral in spherical coordinates to find the volume of a solid

WIR7 20B M251 V5

Evaluating a triple integral for a given solid by writing an iterated integral in spherical coordinates

Functions of Several Variables Conceptual V1

Introducing functions of several variables and level curves

Functions of Several Variables Exercise V1

Evaluating and then finding and sketching the domain of a function of two variables

Functions of Several Variables Exercise V2

Finding and sketching the domain of a function of two variables

Functions of Several Variables Exercise V3

Sketching the level curves for a function of two variables

Functions of Several Variables Exercise V4

Sketching the level curves for a function of two variables

Functions of Several Variables Exercise V5

Sketching the level curves for a function of two variables

Euler Circuits Example 10

Determining if a list of vertices in a graph is a path, a circuits, an Euler path, an Euler circuit, or none of the above

What is a Graph?

Explaining that a graph is a collection of vertices and edges

Euler Circuits Example 1

Drawing a graph to depict a bus route

Euler Circuits Example 2

Counting the vertices and edges from a graph

Euler Circuits Example 3

Identifying the adjacent vertices in a graph

Euler Circuits Example 4

Finding two different paths between vertices in a graph

Euler Circuits Example 5

Determining if a list of vertices in a graph is a path, circuit, Euler path, Euler circuit, or none of the above

Euler Circuits Example 6

Determining if a list of vertices in a graph is a path, a circuits, an Euler path, an Euler circuit, or none of the above

Euler Circuits Example 7

Determining if a list of vertices in a graph is a path, a circuits, an Euler path, an Euler circuit, or none of the above

Euler Circuits Example 8

Determining if a list of vertices in a graph is a path, a circuits, an Euler path, an Euler circuit, or none of the above

Euler Circuits Example 9

Determining if a list of vertices in a graph is a path, a circuits, an Euler path, an Euler circuit, or none of the above

Finding Euler Circuits

Explaining Euler's Theorem on when a graph has an Euler path or Euler circuit

Finding Euler Circuits Example 1

Finding the valence of each vertex in a graph

Hamiltonian Circuits

Explaining Hamiltonian Circuits and paths, the Method of Trees to find them, and the number of Hamiltonian circuits for complete graphs

Hamiltonian Circuits Example 1

Determining if a graph has a Hamiltonian path, Hamiltonian Circuit, or neither

Hamiltonian Circuits Example 2

Determining if a graph has a Hamiltonian path, Hamiltonian Circuit, or neither

Hamiltonian Circuits Example 3

Determining if a graph has a Hamiltonian path, Hamiltonian Circuit, or neither

Hamiltonian Circuits Example 4

Determining if a graph has a Hamiltonian path, Hamiltonian Circuit, or neither

Hamiltonian Circuits Example 5

Using the method of trees to find all Hamiltonian circuits of a graph starting at a given vertex

Hamiltonian Circuits Example 8

Determining if a graph is a complete graph

Hamiltonian Circuits Example 9

Determining if a graph is a complete graph

Hamiltonian Circuits Example 10

Determining if a graph is a complete graph

Hamiltonian Circuits Example 11

Determining if a graph is a complete graph

Minimum-Cost Spanning Trees Example 1

Finding two spanning trees for a graph

Cumulative Distribution Function Exercise 2

Finding the cumulative distribution function for a random variable from its probability distribution function

Functions of Several Variables Conceptual V1

Introducing functions of several variables and level curves

Continuous Functions of Two Variables Example 1

Determining if a piecewise function of two variables is continuous

Continuous Functions of Two Variables Example 2

Determining if a piecewise function of two variables is continuous at a point

Systems of Two Linear Equations in Two Variables Video 1

Explaining the format and possible solutions for a system of two linear equations

Graphs for Data

Explanation of graphs for data and which are appropriate for categorical or numerical data

Math 304 Section 1.1 Exercise 1

Solving a system of linear equations and giving a geometric interpretation of the solution

Math 140 2.3 Exercise 4

Solving a system of two linear equations in two unknowns by graphing

Math 304 Section 3.3 Exercise 8

Determining whether polynomials are linearly independent

Math 304 Section 3.4 Exercise 4

Showing that a set of polynomials forms a basis for all polynomials with degree two or less

Math 140 Exam 3 Review Exercise 1

Determining if a graph represents a function and finding the domain and range

Math 140 Exam 3 Review Exercise 3

Writing an absolute value function as an equivalent, piecewise-defined function

Math 140 Exam 3 Review Exercise 9

Finding the domain of a piecewise-defined function and evaluating it for given x-values

Math 140 Exam 3 Review Exercise 10

Finding properties of a polynomial function such as the degree, end behavior, y-intercept, etc.

Math 140 Exam 3 Review Exercise 11

Finding properties of a polynomial function such as the degree, end behavior, y-intercept, etc.

Math 140 Exam 3 Review Exercise 16

Writing a piecewise-defined function for the late fees charged by a library

Factoring a Quadratic

Factoring a quadratic polynomial

Factoring a Quadratic (2)

Factoring a quadratic function

Factoring by Grouping

Factoring a cubic polynomial by grouping

Factoring Out the Greatest Common Factor

Finding the greatest common factor of a polynomial and then factoring it out

Factoring a Quadratic: Leading Coefficient is 1

Factoring a quadratic where the leading coefficient is 1

Factoring a Quadratic: Leading Coefficient is Not 1

Factoring quadratics where the leading coefficient is not 1

Factoring by Grouping (2)

Factoring several polynomials by grouping

Factoring a Sum and Difference of Cubes

Factoring a sum of cubes and a difference of cubes

Roots of a Polynomial

Finding the roots of a cubic polynomial

Composition of Polynomial Functions

Finding the composition of two functions

Solving an Inequality with a Polynomial

Solving an inequality with a polynomial by factoring and using a sign diagram

Using Variables in Python

Defining variables in Python and using the variables in equations

Plotting Expressions and Solving Equations Numerically in Python

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

Solving Equations Symbolically in Python

Solving equations symbolically in Python and interpreting the results

Numerical Calculations in Python

Performing basic numerical calculations in Python

Introduction and Installation of Python

An introduction to installing and getting started with Python

Definite and Indefinite Integrals in Python

Solving definite and indefinite integrals in Python

Finding Absolute (Global) Extrema in Python

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

Tangents to Parametrized Curves at a Given Point in Python

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

Simplifying Difference Quotients in Python

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

List Comprehension and Patterns in Higher Derivatives in Python

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

Approximating Definite Integrals with Riemann Sums in Python

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

Finding Derivatives in Python

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

Finding Horizontal Tangent Lines in Python

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

Finding Intervals of Increase/Decrease and Concavity in Python

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

For Loops and Recursive Sequences in Python

Using for loops in Python to generate a recursively defined sequence

Generating and Plotting Partials Sums of a Series in Python

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

Generating and Plotting Sequences in Python

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

Areas Between Curves in Python

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

Calculating Work in Python: Hooke’s Law

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

Calculating Work in Python: Pumping Liquid from a Tank

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

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

Video 29 in a series of Python instructional videos

Radius and Interval of Convergence in Python

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

Volumes of Revolution in Python

Finding the volume of a solid of revolution in Python

Domain of Combinations of Functions Video 3

Finding the domain of a function with a square root in the denominator

Making Linear Functions Video 1

Discussing how to write the equation of a line through two given points

Solving Linear Equations Algebraically Video 1

Solving a linear equation algebraically and showing how this relates to the graph

Solving Linear Equations Algebraically Video 2

Solving a linear equation algebraically

Solving Linear Equations Algebraically Video 3

Solving a linear equation algebraically and showing how this relates to the graph

Systems of Two Linear Equations in Two Variables Video 1

Explaining the format and possible solutions for a system of two linear equations

Systems of Two Linear Equations in Two Variables Video 5

Solving a system of two linear equations using a TI-84 calculator

Systems of Two Linear Equations in Two Variables Video 6

Solving a system of two linear equations using a TI-84 calculator

Quadratic Form Video 1

Explaining the graph and properties for the parent function of quadratics

Quadratic Equations Video 2

Solving quadratic equations with the difference of two squares formula

Quadratic Equations Video 7

Explaining when a quadratic equation does not have a real solution

Properties of Rational Functions and Expressions Video 4

Finding horizontal asymptotes for rational functions

Properties of Rational Functions and Expressions Video 5

Determining the end behavior and horizontal asymptotes for rational functions

Properties of Rational Functions and Expressions Video 1

Discussing parent functions of rational functions and their properties

Properties of Rational Functions and Expressions Video 2

Finding horizontal asymptotes for rational functions

Properties of Rational Functions and Expressions Video 3

Explaining how to do polynomial long division

Properties of Radical Functions and Expressions Video 1

Explaining the general properties of even and odd root functions

Solving Radical Equations Video 2

Solving equations with even roots and checking the solutions

Properties of Power and Exponential Expressions Video 4

Properties of exponential growth and decay functions

Properties of Power and Exponential Expressions Video 5

Properties of the exponential function with base e

Solving Power and Exponential Equations Video 1

Explaining how to solve equations with power and exponential terms

Properties of Logarithmic Functions and Expressions Video 2

Explaining the basic properties of logarithmic functions

Using Double Integrals to Compute Mass and Weight

Using double integrals to calculate the weight of a plate given its density and size

Changing Order of Integration for Iterated Integrals

Evaluating iterated integrals over the same region but with different orders of integration

Determining the Iterated Integral for a Given Region

Writing and then solving an iterated integral for a given region

Systems of Two Linear Equations in Two Variables Video 1

Explaining the format and possible solutions for a system of two linear equations

Properties of Power and Exponential Expressions Video 4

Properties of exponential growth and decay functions

Properties of Power and Exponential Expressions Video 5

Properties of the exponential function with base e

Properties of Logarithmic Functions and Expressions Video 2

Explaining the basic properties of logarithmic functions

Functions of Several Variables Conceptual V1

Introducing functions of several variables and level curves

Cumulative Distribution Function Exercise 2

Finding the cumulative distribution function for a random variable from its probability distribution function