Канал: Abigail Payne

Diagonalizing a symmetric matrix, part 2

Diagonalizing a symmetric matrix, part 2

Diagonalize a symmetric matrix, part 1

Diagonalize a symmetric matrix, part 1

Standard matrix of a rotation

Standard matrix of a rotation

Write the equation of a rational function based on its graph

Write the equation of a rational function based on its graph

Graphing a rational function with two vertical asymptotes

Graphing a rational function with two vertical asymptotes

Graphing a rational function with a slant asymptote

Graphing a rational function with a slant asymptote

Decompose a vector into the sum of the projection onto another vector and the orthogonal component

Decompose a vector into the sum of the projection onto another vector and the orthogonal component

Use orthogonality to express a vector as a linear combination of the basis vectors

Use orthogonality to express a vector as a linear combination of the basis vectors

Introductory example finding eigenvalues of a 2x2 matrix

Introductory example finding eigenvalues of a 2x2 matrix

Exponential equation, base e

Exponential equation, base e

Solve exponential equation - harder example

Solve exponential equation - harder example

Find a basis for an eigenspace

Find a basis for an eigenspace

Using cofactor expansion to compute a determinant

Using cofactor expansion to compute a determinant

Find a basis for span of vectors

Find a basis for span of vectors

Basis first examples

Basis first examples

Word problem involving angle of elevation

Word problem involving angle of elevation

Using the right triangle definitions of the trig functions

Using the right triangle definitions of the trig functions

Solve matrix equation using basic matrix operations

Solve matrix equation using basic matrix operations

matrix transformation is a linear transformation

matrix transformation is a linear transformation

Linear transformations map the zero vector to zero vector

Linear transformations map the zero vector to zero vector

Using properties of linear transformations to compute the output

Using properties of linear transformations to compute the output

Use factor theorem to factor a degree 4 polynomial

Use factor theorem to factor a degree 4 polynomial

Synthetic division and long division

Synthetic division and long division

Simplify trigonometric expressions using ratio identities

Simplify trigonometric expressions using ratio identities

Simplify trig expressions using Pythagorean identities

Simplify trig expressions using Pythagorean identities

Product Rule Examples

Product Rule Examples

Quotient Rule Examples

Quotient Rule Examples

Derivatives of trigonometric functions using Quotient Rule

Derivatives of trigonometric functions using Quotient Rule

Finding the second derivative examples

Finding the second derivative examples

Chain Rule Examples

Chain Rule Examples

Determine whether linear transformation from R^n to R^m is one-to-one and onto

Determine whether linear transformation from R^n to R^m is one-to-one and onto

Determine whether collection of vectors is linearly independent

Determine whether collection of vectors is linearly independent

subtract rational expressions

subtract rational expressions

$simplify complex fractions$

simplify complex fractions

Simplify rational expressions

Simplify rational expressions

Graphing logarithmic functions using transformations

Graphing logarithmic functions using transformations

Graphs of basic logarithmic functions

Graphs of basic logarithmic functions

Graphing a natural exponential function

Graphing a natural exponential function

Graphing basic exponential functions

Graphing basic exponential functions

Using a calculator to approximate solution to trig equation

Using a calculator to approximate solution to trig equation

Solving trigonometric equations using a unit circle

Solving trigonometric equations using a unit circle

Evaluate composition of an inverse trig function with a different trig function

Evaluate composition of an inverse trig function with a different trig function

Evaluate composition of a trigonometric function with a different inverse trig function

Evaluate composition of a trigonometric function with a different inverse trig function

Evaluating a composition of a trig function with its inverse

Evaluating a composition of a trig function with its inverse

Finding the equation of sine or cosine function from graph

Finding the equation of sine or cosine function from graph

Using a point on terminal side to find exact values of trigonometric functions

Using a point on terminal side to find exact values of trigonometric functions

Find exact value of trigonometric functions using the coordinates of a point on terminal side

Find exact value of trigonometric functions using the coordinates of a point on terminal side

Evaluating trigonometric functions using a unit circle

Evaluating trigonometric functions using a unit circle

overview of trig functions

overview of trig functions

Graphing a rational function and using homework graphing tool

Graphing a rational function and using homework graphing tool

Find all zeros of polynomial using Rational Zeros Theorem

Find all zeros of polynomial using Rational Zeros Theorem

Finding the standard matrix for transformation

Finding the standard matrix for transformation

Find the equation of a rational function with the given characteristics.

Find the equation of a rational function with the given characteristics.

Find a value of h such that the vectors are linearly dependent

Find a value of h such that the vectors are linearly dependent

solve trig equation

solve trig equation

Simplify an expression involving negative and rational exponents

Simplify an expression involving negative and rational exponents

Simplify and write without negative exponents

Simplify and write without negative exponents

Express vector as linear combination of given vectors

Express vector as linear combination of given vectors

Linear Independence of Collection of Vectors

Linear Independence of Collection of Vectors

Determine whether collection of vectors spans R^3

Determine whether collection of vectors spans R^3

Word problem - solving a right triangle

Word problem - solving a right triangle

Solve a right triangle

Solve a right triangle

Writing the equation of a hyperbola in standard form and graphing it

Writing the equation of a hyperbola in standard form and graphing it

Trig Equation Example Using Double Angle Formula

Trig Equation Example Using Double Angle Formula

putting equation of circle in standard form

putting equation of circle in standard form

Mean Value Theorem velocity example

Mean Value Theorem velocity example

Using the Mean Value Theorem

Using the Mean Value Theorem

verify an identity using double angle formulas

verify an identity using double angle formulas

using double angle formulas for sine and cosine

using double angle formulas for sine and cosine

using double angle formula for tangent

using double angle formula for tangent

$partial fractions with irreducible quadratic factor$

partial fractions with irreducible quadratic factor

Using angle addition formula for tangent

Using angle addition formula for tangent

Evaluating sine using angle addition formula

Evaluating sine using angle addition formula

Simplifying trigonometric expressions

Simplifying trigonometric expressions

integration by parts solve for original integral

integration by parts solve for original integral

30-60-90 triangle side lengths

30-60-90 triangle side lengths

Find sine of 900 degrees

Find sine of 900 degrees

Identify quadrant where cosine positive and cotangent negative

Identify quadrant where cosine positive and cotangent negative

Finding values of trig functions of an angle in a right triangle

Finding values of trig functions of an angle in a right triangle

Solving for an unknown angle using reference angles and your calculator

Solving for an unknown angle using reference angles and your calculator

Using Squeeze Theorem with limits at infinity

Using Squeeze Theorem with limits at infinity

limit at infinity of trig functions

limit at infinity of trig functions

Limit at negative infinity of radical expression

Limit at negative infinity of radical expression

Determine whether a collection of vectors in R^3 spans R^3

Determine whether a collection of vectors in R^3 spans R^3

Using the definition of span

Using the definition of span

composite function using two rational functions

composite function using two rational functions

Express subset as span of vectors to establish that it is a subspace of V

Express subset as span of vectors to establish that it is a subspace of V

use linearity and given values to evaluate a transformation

use linearity and given values to evaluate a transformation

Using a population model

Using a population model

Using exponential population functions

Using exponential population functions

Doubling time using population model

Doubling time using population model

definite integral involving natural logarithm

definite integral involving natural logarithm

integrating trigonometric functions

integrating trigonometric functions

Integrating an improper rational expression by dividing first

Integrating an improper rational expression by dividing first

integrating using natural logarithms

integrating using natural logarithms

derivatives of natural log functions

derivatives of natural log functions

Integration by substitution replacing remaining expression of x

Integration by substitution replacing remaining expression of x

Solve a differential equation using integration by substitution

Solve a differential equation using integration by substitution

evaluating definite integral using substitution

evaluating definite integral using substitution

logarithmic equation

logarithmic equation

exponential equation that is quadratic in form

exponential equation that is quadratic in form

Using logarithms to solve an exponential equation

Using logarithms to solve an exponential equation

basic exponential equation

basic exponential equation

Combining logarithmic expressions: more complicated example

Combining logarithmic expressions: more complicated example

Combining logarithmic expressions

Combining logarithmic expressions

Expand a more complicated logarithmic expression

Expand a more complicated logarithmic expression

Expanding logarithmic expressions

Expanding logarithmic expressions

Using compound interest formulas

Using compound interest formulas

Inverse Function example

Inverse Function example

Finite orthogonal set of nonzero vectors is a linearly independent set

Finite orthogonal set of nonzero vectors is a linearly independent set

Examples: Solving logarithmic equations

Examples: Solving logarithmic equations

Solve logarithmic equation by changing to exponential form

Solve logarithmic equation by changing to exponential form

exponential equation that is quadratic in form

exponential equation that is quadratic in form

More complicated exponential equation

More complicated exponential equation

Solving exponential equations

Solving exponential equations

Long division of polynomials example 1

Long division of polynomials example 1

Graphing a polynomial example 2

Graphing a polynomial example 2

Graphing a polynomial example 1

Graphing a polynomial example 1

graphing using transformations

graphing using transformations

graphing a square root function using transformations

graphing a square root function using transformations

maximum enclosed area

maximum enclosed area

maximum height given by a quadratic function

maximum height given by a quadratic function

Domain and range of a parabola

Domain and range of a parabola

Quadratic Function Example: Min/Max, vertex, domain, range

Quadratic Function Example: Min/Max, vertex, domain, range

Related rates filling a pool

Related rates filling a pool

collection of matrices is subspace

collection of matrices is subspace

word problem involving quadratic equation

word problem involving quadratic equation

solve an equation that is quadratic in form

solve an equation that is quadratic in form

equation with rational exponent example 2

equation with rational exponent example 2

equation with rational exponent

equation with rational exponent

Solve 4th degree polynomial by factoring

Solve 4th degree polynomial by factoring

solve quadratic equation example 2

solve quadratic equation example 2

solve a quadratic equation

solve a quadratic equation

solve quadratic equation using the quadratic formula

solve quadratic equation using the quadratic formula

Solve quadratic equation with square-root property

Solve quadratic equation with square-root property

Solve quadratic equation by factoring, example 1

Solve quadratic equation by factoring, example 1

2 1 hw question 9

2 1 hw question 9

simplify a complex number

simplify a complex number

literal equation example 3

literal equation example 3

literal equation example 2

literal equation example 2

literal equation example 1

literal equation example 1

linear word problem example 3

linear word problem example 3

linear word problem example 2

linear word problem example 2

linear word problem example 1

linear word problem example 1

Welcome and advice for the course: 1314 Fall 2020

Welcome and advice for the course: 1314 Fall 2020

Identity Example

Identity Example

Solve a rational equation

Solve a rational equation

Linear Equation Example 2

Linear Equation Example 2

Linear Equation Example 1

Linear Equation Example 1

Using transformations and parent graph to sketch graph of a function

Using transformations and parent graph to sketch graph of a function

Find an input vector corresponding to a given output of a transformation

Find an input vector corresponding to a given output of a transformation

Write the equation of a rational function example 2

Write the equation of a rational function example 2

Write equation of rational function example 1

Write equation of rational function example 1

Composition of Functions and Domain Example 1

Composition of Functions and Domain Example 1

graphing polynomial functions

graphing polynomial functions

Using the rational zeros theorem

Using the rational zeros theorem

Use conjugate zeros to find all other zeros

Use conjugate zeros to find all other zeros

Find all remaining zeros

Find all remaining zeros

long division of polynomials ex 2

long division of polynomials ex 2

long division of polynomials example

long division of polynomials example

Given a vector, find a matrix for which that vector is a solution to homogeneous equation

Given a vector, find a matrix for which that vector is a solution to homogeneous equation

Homogeneous system with nontrivial solutions has free variables

Homogeneous system with nontrivial solutions has free variables

Solution set of a homogeneous system of linear equations in parametric form

Solution set of a homogeneous system of linear equations in parametric form

linearly dependent vectors

linearly dependent vectors

Find values such that the function is continuous over all real numbers.

Find values such that the function is continuous over all real numbers.

Do the columns of a 2x3 matrix span R2?

Do the columns of a 2x3 matrix span R2?

Find c such that a given vector is not in span of collection of vectors

Find c such that a given vector is not in span of collection of vectors

$limit of a complex fraction expression$

limit of a complex fraction expression

limit of form nonzero number over 0

limit of form nonzero number over 0

Basic limit examples

Basic limit examples

limits of rational functions

limits of rational functions

limit involving radical

limit involving radical

Limits of trig functions part 1

Limits of trig functions part 1

limits of trig functions part 2

limits of trig functions part 2

cosine graph in MML

cosine graph in MML

$partial fractions example 1$

partial fractions example 1

inverse of square root function

inverse of square root function

Trig sub example 3

Trig sub example 3

Trig Sub Example 2

Trig Sub Example 2

First example trig sub

First example trig sub

More sine cosine integrals

More sine cosine integrals

Introduction to secant tangent integrals

Introduction to secant tangent integrals

integrating cotangent to fifth power

integrating cotangent to fifth power

Using Power Reduction

Using Power Reduction

introduction to sine cosine integrals

introduction to sine cosine integrals

Using tabular method with integration by parts

Using tabular method with integration by parts

Integration by parts example 2

Integration by parts example 2

integrate ln x

integrate ln x

Integration by parts example 1

Integration by parts example 1

Over what intervals is function increasing decreasing constant

Over what intervals is function increasing decreasing constant

Volumes of revolution using various methods

Volumes of revolution using various methods

Shell method example 1

Shell method example 1

Disc and Washer Examples dy

Disc and Washer Examples dy

Disc and Washer method example

Disc and Washer method example

Area between curves written with respect to y

Area between curves written with respect to y

Finding area between two curves

Finding area between two curves

integrating using inverse secant formula

integrating using inverse secant formula

integration using inverse tangent formula and completing the square

integration using inverse tangent formula and completing the square

Integrating without using inverse tangent formula

Integrating without using inverse tangent formula

Inverse Trig Integration Example

Inverse Trig Integration Example