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MATH 140 2.1 Exercise 2

Writing the equation of a line that passes through two points

MATH 140 2.1 Exercise 3

Writing the equation of a line with an undefined slope and a given point

MATH 140 2.1 Exercise 4

Writing the equation of a line with a zero slope given a point

MATH 140 2.2 Exercise 6

Finding a linear demand equation

MATH 140 Exam 1 Review #3

Writing a linear function representing the depreciation of a car

MATH 140 Exam 1 Review #17

Answering questions about a demand and supply word problem

WIR1 20B M150 V1

Finding the equation of a line through two points

WIR1 20B M150 V2

Finding the equation of a line through two points

WIR1 20B M150 V3

Finding the equations of parallel and perpendicular lines

WIR8 20B M150 V7

Finding the equation of a parallel line

Standard Form of an Equation for a Line

Writing the equation of a graphed line in standard form

Equation of a Line Given Two Points

Writing the equation of a line passing through two points

Linear Forms Video 1

Explaining the main three forms for linear equations

Linear Forms Video 1

Explaining the main three forms for linear equations

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 10

Determining the change in y as x increases for a line

MATH 140 2.1 Exercise 11

Determining the change in x as y decreases for a line

MATH 140 2.2 Exercise 7

Finding a linear supply function

MATH 140 2.2 Exercise 1

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

MATH 140 2.2 Exercise 2

Finding linear functions for the cost, revenue, and profit of a business

MATH 140 2.2 Exercise 3

Finding the linear cost function for a company

MATH 140 2.2 Exercise 4

Finding the linear revenue function for a company

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

Semilog Plot Example 2

Writing a non-linear function to represent the line graphed on a semilog plot

MLC WIR 20B M151 week5 #3a

Finding a tangent line to an curve defined implicitly

MLC WIR 20B M151 week5 #3b

Finding a tangent line to an curve defined implicitly

MLC WIR 20B M151 week5 #6

Finding the equation of a tangent line to a function containing a logarithm

MLC WIR 20B M151 week5 #9a

Finding the tangent line to a parametric curve

MLC WIR 20B M151 week5 #9b

Finding the tangent line to a parametric curve

MLC WIR 20B M151 week6 #14

Finding the equation of a tangent line to a parametric curve

MLC WIR 20B M151 week6 #15

Finding the equation of a tangent line to an implicit function

MLC WIR 20B M151 week10 #12

Finding the tangent line to a parametric curve

Linear Forms Video 2

Discussing properties of linear functions

Making Linear Functions Video 1

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

Making Linear Functions Video 2

Writing a linear equation of profit from a business word problem

Linear Forms Video 2

Discussing properties of linear functions

MATH 140 2.1 Exercise 1

Finding the slope of a line through a pair of points

MATH 140 2.1 Exercise 12

Determining the slope of a line given points containing a variable

MATH 140 Exam 1 Review #13

Finding the solution to a system of linear equations by graphing

MATH 140 Exam 1 Review #1

Finding the change in y as x increases for a given line

MATH 140 5.5 Exercise 2

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

Slope of a Tangent Line

Finding the equation of the tangent line to a function using the limit definition

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 2

Writing a non-linear function for the graph containing two points on a double-log plot

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

Cartesian equations and parametric equations of curves

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

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 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 3.1 Exam 1 Review Problems 36-40

Review of derivatives and tangent lines to functions and vector equations

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

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

Derivatives and tangents to curves

MLC WIR M151 week1 #12

Finding the distance between a point and a line using scalar projection

MLC WIR 20B M151 week6 #8

Finding the point when the tangent line to a function has a particular slope

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

Cartesian equations and parametric equations of curves

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 36-40

Review of derivatives and tangent lines to functions and vector equations

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

Using the limit definition to find derivatives of functions and vector 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 3.1 Exam 1 Review Problems 36-40

Review of derivatives and tangent lines to functions and vector equations

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

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

Derivatives and tangents to curves

Math 140 2.3 Exercise 5

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

Math 140 2.3 Exercise 6

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

Math 140 2.3 Exercise 8

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

Math 140 2.3 Exercise 2

Determining how many solutions systems of equations have without solving or graphing

Math 140 2.3 Exercise 3

Solving for a coefficient so that a linear system has exactly one solution

Inverse of a Linear Function

Finding the inverse of a linear function and its domain

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

Linear Graphs Video 1

Discussing the types of linear graphs including horizontal and vertical lines and their properties

Linear Graphs Video 1

Discussing the types of linear graphs including horizontal and vertical lines and their properties

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 2.1 Exercise 9

Graphing a line without using technology

MATH 140 2.1 Exercise 5

Finding the x and y-intercepts for a line

MATH 140 2.1 Exercise 6

Solving for a constant so a line has a particular x-intercept

MATH 140 2.2 Exercise 5

Finding the linear profit function for a company

MATH 140 5.5 Exercise 3

Graphing a piecewise function

Slope of a Secant Line

Finding the slope of a secant line to a given function

Instantaneous Rate of Change of a Function

Finding the exact value of the instantaneous rate of change

Instantaneous Rate of Change of a Rational Function

Finding the exact value of the instantaneous rate of change

Double-Log Plot Example 1

Using logarithms to transform a power function into a linear function

Derivatives and Applications: MATH 151 K.2 Problems 9-15

Tangent lines to parametric equations and related rates examples

Review for the Common Exam: MATH 151 Exam 1 Review Problems 10-13

Review of vector functions and parametric equations

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

Review of limits and derivatives of inverse trigonometric functions

Review for the Common Exam: MATH 151 Exam 2 Review Problems 10-15

Implicit differentiation and physics applications of derivatives

Review for the Common Exam: MATH 151 Exam 2 Review Problems 16-20

Derivatives of parametric equations and tangent lines

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 3 Review Problems 8-15

Review of limits and derivatives of inverse trigonometric functions

Limits and Asymptotes: MATH 151 2.6 Problems 7-11

Limits at infinity and asymptotes, along with physics applications

Limits and Asymptotes: MATH 151 2.7 Problems 7-11

Limits at infinity, asymptotes, and tangent lines

Differentiation and Applications: MATH 151 Problems 1-8

Derivatives of exponential and logarithmic functions and the exponential model

Differentiation and Applications: MATH 151 3.8 Problems 1-8

Derivatives of exponential and logarithmic functions and the exponential model

Derivatives and Applications: MATH 151 3.9 Problems 9-15

Tangent lines to parametric equations and related rates examples

MLC WIR 20B M151 week2 #02

Finding a vector equation for the line through two points

MLC WIR 20B M151 week3 #03

Finding a parallel vector through a point

MLC WIR 20B M151 week3 #11

Finding a line perpendicular to a vector and passing through a point

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 week5 #10

Finding the points on a parametric curve where the tangent line is horizontal or vertical

MLC WIR 20B M151 week6 #9

Finding where a function has horizontal tangent lines

MLC WIR 20B M151 week6 #13

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

MLC WIR 20B M151 week6 #11

Using a linear approximation to approximate the value of a function

MLC WIR 20B M151 week6 #17

Finding the linear approximation for a function

MLC WIR 20B M151 week10 #13

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

MLC WIR 20B M151 week10 #4

Finding a vector equation for the line passing through two points

Derivatives and Applications: MATH 151 K.2 Problems 9-15

Tangent lines to parametric equations and related rates examples

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

Review of limits and derivatives of inverse trigonometric functions

Review for the Common Exam: MATH 151 Exam 2 Review Problems 10-15

Implicit differentiation and physics applications of derivatives

Review for the Common Exam: MATH 151 Exam 2 Review Problems 16-20

Derivatives of parametric equations and tangent lines

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

Precise Definition of a Limit: MATH 171 Problems 3 & 4

Proving limits using the epsilon-delta definition

Limits and Asymptotes: MATH 151 2.6 Problems 7-11

Limits at infinity and asymptotes, along with physics applications

Limits and Asymptotes: MATH 151 2.7 Problems 7-11

Limits at infinity, asymptotes, and tangent lines

Differentials: MATH 171 Problems 1 & 2

Proving facts about differentials including a product rule

Exponentials and Hyperbolic Trigonometric Functions: MATH 171 Problems 3 & 4

Examples involving the tangent line to an exponential function and finding the derivative of hyperbolic cosine

Differentiation and Applications: MATH 151 Problems 1-8

Derivatives of exponential and logarithmic functions and the exponential model

Derivatives and Applications: MATH 151 3.9 Problems 9-15

Tangent lines to parametric equations and related rates examples

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

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

Optimization: MATH 171 Problems 1-3

Optimizing values in word problems

WIR2 20B M251 V2

Finding the point where two lines in three-dimensional space intersect

WIR2 20B M251 V3

Finding an equation of the plane containing two given lines in three-dimensional space

WIR8 20B M251 V5

Evaluating a line integral along a curve in space

MATH 308 WIR22A V1

Finding the slope of solutions and the critical points of a differential equation

Partial Derivatives Conceptual V1.2

Explanation of partial derivatives for functions with more than one variable

Partial Derivatives Exercise V1

Finding the partial derivatives of a function

Partial Derivatives Exercise V2

Finding the partial derivatives of a function with two variables

Partial Derivatives Exercise V3

Example of finding a partial derivative of a function with two variables

Tangent Planes and Linear Approximations Conceptual V1.1

Explaining tangent planes for functions of two variables and how to calculate them

The Equation of a Line Perpendicular to a Vector

Finding the equation of a line perpendicular to a vector in \(R^2\)

Partial Derivatives Conceptual V1.2

Explanation of partial derivatives for functions with more than one variable

Tangent Planes and Linear Approximations Conceptual V1.1

Explaining tangent planes for functions of two variables and how to calculate them

Systems of Two Linear Equations in Two Variables Video 1

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

Notation

Explaining the notation used for statistics and parameter for mean, standard deviation, variance, proportion, and slope

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

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 Difference of Two Squares

Factoring a difference of two squares

Factoring a Sum and Difference of Cubes

Factoring a sum of cubes and a difference of cubes

Simplifying a Rational Expression

Simplifying a rational expression

Subtracting Rational Expressions

Adding and then simplifying two rational expressions

Multiplying Rational Expressions

Multiplying two rational expressions and then simplifying

Dividing Rational Expressions

Dividing rational expressions and then simplifying the answer

Adding Rational Expressions

Adding two rational expressions and then simplifying the answer

Holes and Asymptotes of Rational Functions

Finding any holes, vertical asymptotes, and horizontal asymptotes of a rational function

Holes and Asymptotes of Rational Functions (2)

Finding any holes, vertical asymptotes, and horizontal asymptotes of a rational function

Matching a Rational Function with its Graph

Matching a rational function with its graph

Roots of a Quadratic

Using the quadratic formula to find the roots of a function

Roots of a Polynomial

Finding the roots of a cubic polynomial

Roots of a Square Root Function

Finding the roots of a square root function

Roots of a Function with an Absolute Value

Finding the roots of a function with an absolute value

Domain of a Rational Function

Finding the domain of a rational function

Domain of a Rational Function (2)

Finding the domain of a rational function

Domain of Function with Roots

Finding the domain of a function with a fraction and radicals

Domain of a Square Root Function

Finding the domain of a function with a quadratic inside a square root

Composition of Polynomial Functions

Finding the composition of two functions

Function Composition with a Rational Function

Finding the composition of a rational function and a quadratic

Composition of Logarithmic and Exponential Functions

Finding the composition of two functions with exponentials and logarithms

Composition of Square Root and Power Functions

Finding the composition of two functions with a square root and a fractional exponent

Composition of Cube Root and Power Functions

Finding the composition of two functions with a cube root and a fractional exponent

Inverse of a Square Root Function

Finding the inverse of a square root function and its domain

Inverse of a Rational Function

Finding the inverse of a rational function and its domain

Inverse of a Rational Function (2)

Finding the inverse of a rational function and its domain

Difference Quotient of a Quadratic

Finding and simplifying the difference quotient for a quadratic function

Difference Quotient of a Rational Function

Finding and simplifying the difference quotient for a rational function

Difference Quotient of a Square Root Function

Finding and simplifying the difference quotient for a square root function

Solving an Inequality with a Polynomial

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

Solving an Inequality with a Rational Function

Solving an inequality with a rational expression by factoring and using a sign diagram

Solving an Inequality with a Sum of Rational Functions

Solving an inequality with two rational expressions using a sign diagram

Solving an Inequality with by Finding a Least Common Denominator

Solving an inequality with a rational expression using a sign diagram

Solving an Inequality with a Quadratic Function

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

Absolute Maximum or Minimum of a Quadratic

Finding the absolute maximum or absolute minimum of a quadratic

Standard Form of a Quadratic

Writing the standard form of quadratic function given its vertex and one other point

Component Form and Magnitude of a Vector

Finding the component form and magnitude for a vector between two points

Vector Addition and Subtraction and Scalar Multiplication

Performing calculations with vectors including addition, subtraction, and scalar multiplication

Dot Product

Calculating the dot product for three pairs of vectors

Finding a Unit Vector

Finding a unit vector in the direction of a given vector

Solving a System of Equations

Solving a system of two linear equations using the method of substitution

Solving a System of Equations (2)

Solving a system of two linear equations using the method of substitution

Solving a System of Equations (3)

Solving a system of two linear equations

Solving a System of Nonlinear Equations

Solving a system on two equations where one is linear and one is quadratic

An Equation with an Exponential Function

Solving a equation with an exponential function

An Equation with Exponential Functions of Different Bases

Solving an equation with two exponential functions with different bases

Factoring a Quadratic-Like Equation with Exponentials

Solving an equation with exponential functions by factoring

Factoring an Equation with Exponentials

Solving a equation with exponential functions by factoring

Population Model with Exponential Growth

Finding the size of a population of rabbits with exponential growth

Population Model with Exponential Decay

Finding the size of a population of rabbits with exponential decay

Horizontal Asymptote of an Exponential Function

Finding the horizontal asymptote of an exponential function

Horizontal Asymptote of an Exponential Function (2)

Finding the horizontal asymptote of an exponential function

Horizontal Asymptote of an Exponential Function (3)

Finding the horizontal asymptote of an exponential function

Expanding a Logarithmic Expression

Expanding a logarithmic expression using logarithm properties

Condensing a Logarithmic Expression

Condensing logarithmic expressions into a single logarithm

Evaluating Logarithmic Expressions

Finding the exact value of logarithms using logarithmic properties

Vertical Asymptote of a Logarithmic Function

Finding the vertical asymptote of a logarithmic function

Vertical Asymptote of a Logarithmic Function (2)

Finding the vertical asymptote of a logarithmic function

Domain and x-intercepts of a Logarithmic Function

Finding the domain and x-intercepts of a logarithmic function

Domain and x-intercepts of a Logarithmic Function (2)

Finding the domain and x-intercepts of a logarithmic function

Solving an Equation with Logarithms

Solving a logarithmic equation using properties of logarithms

Solving an Equation with a Logarithmic Function

Solving a logarithmic equation using properties of logarithms

Evaluating All Six Trigonometric Functions

Finding the values of all six trigonometric functions of an angle given a right triangle

Evaluating the Other Trigonometric Functions Given Sine

Evaluating the other five trigonometric functions for an acute angle given the value of sine

Evaluating the Other Trigonometric Functions Given Sine (2)

Evaluating the other five trigonometric functions given sine and that tangent is negative

Solving an Equation with Tangent

Finding the solutions to an equation with tangent in a given interval

Solving an Equation with Sine and Cosine

Solving a trigonometric equation with sine and cosine on a given interval

Factoring a Quadratic-Like Equation with Sine

Solving an quadratic-like equation with sine by factoring

Solving an Equation with Cosine

Solving an equation with cosine on a given interval

Solving an Equation with Sine

Solving a trigonometric equation with sine on a given interval

Sketching One Period of a Sine Function

Sketching one period of a transformed sine graph

Sketching One Period of a Cosine Function

Sketching one period of a cosine function with transformations

Properties of a Sine Function

Finding the amplitude, period, phase shift, and vertical shift for a given sine function

Find the Cosine Function for a Graph

Writing a cosine function for a given graph

Finding Horizontal Tangent Lines in Python

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

Implicit Plots and Implicit Differentiation in Python

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

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 2

Solving a system of linear equations with two variables

Systems of Two Linear Equations in Two Variables Video 3

Solving a system of two linear equations with two variables using the elimination method

Systems of Two Linear Equations in Two Variables Video 4

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

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

Systems of Two Linear Equations in Two Variables Video 1

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

Partial Derivatives Conceptual V1.2

Explanation of partial derivatives for functions with more than one variable

Review for the Common Exam: MATH 151 Exam 1 Review Problems 10-13

Review of vector functions and parametric equations

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

Review of limits and derivatives of inverse trigonometric functions