Math 120 Videos

The sections outlined are based on the OpneStax textbook "Algebra and Trigonometry".

Section 2.5

    Solving Quadratic Equations by Factoring

    Square Root Property

    Completing the Square

    Quadratic Formula

Section 2.6

    Equations With Rational Exponents

    Solving Polynomial Equations by Factoring

    Radical Equations (See Examples Below)

Example 1     Example 2     Example 3     Example 4

    Absolute Value Equations

    Quadratic in Form (See Examples Below)

        Examples 1 & 2

        Examples 3 & 4

        Examples 5 & 6

Section 3.1

    Evaluating Functions

    Vertical Line Test

    Evaluate a Function From a Graph

Section 3.2

    Domain of a Rational Function

    Domain of a Square Root Function

    Domain of a Function from its Graph

    Evaluating Piecewise Functions

Section 3.3

    Intervals a Function is Increasing and Decreasing From its Graph

    Average Rate of Change

Section 3.4

    Evaluating Operation on Functions

Operations With Function

    Composition of Functions (See Examples Below)

        Example 1

        Example 2

Section 3.5

    Odd and Even Functions

    Transformation of Graphs

Section 3.7

    Finding the Inverse of a Function

    Determining if Two Functions are Inverses

Section 5.1

    Minimum and Maximum Value of a Quadratic Function

Section 5.2

    End Behavior

Section 5.3

    Find Equation of Polynomial Given Conditions (See Examples Below)

        Example 1

        Example 2

        Example 3

Section 5.4

    Long Division of Polynomials

    Synthetic Division

Section 5.5

    Zeros of a Polynomial (See Examples Below)

        Example 1

        Example 2

        Example 3

        Example 4

Section 5.6

    Domain of a Rational Function

    Vertical Asymptotes

    Horizontal Asymptotes

Section 6.1

Section 6.2

    Graphing Exponential Functions

Section 6.3

    Exponential Form to Logarithmic Form

    Logarithmic Form to Exponential Form

    Evaluate Logarithms Without a Calculator

Section 6.4

    Graphing Logarithmic Functions

Section 6.5

    Expanding Logarithms

    Condensing Logarithms

Section 6.6

    Exponential Equations (Getting Bases the Same)

    Exponential Equations (Can't Get Bases the Same)

    Logarithmic Equations

Section 6.7

    Logarithmic Application (See Examples Below)

Example 1     Example 2     Example 3

Sections 7.1 and 7.2

    Cofunctions

    Right Triangles (Evaluate Trig Functions)

    Applications Right Triangles (See Examples Below)

Example 1     Example 2     Example 3     Example 4     Example 5     Example 6

    Radians to Degress

    Degrees to Radians

    Arc Length of a Circle

    Area of the Sector of a Circle

    Angular Velocity (See Examples Below)

Example 1

Example 2

Example 3

Sections 7.3 and 7.4

    Find Trig Values Given a Point

    Find Remaining Trig Values Given One Trig Value

    Reference Angles

    Find Trig Values Using Reference Angles

Sections 8.1 and 8.2

    Amplitude, Period, Phase Shift

Find Equation Given Its Graph See Examples Below)

        Example 1

        Example 2

        Example 3

        Example 4

        Example 5

        Example 6

        Example 7

        Example 8

Section 8.3

    Inverse Trig Functions (See Examples Below)

Part 1     Part 2     Part 3     Part 4

    Pythagorean Theorem

Sections 9.1 & 9.2

    Trig Identities (See Examples Below)

Example 1     Example 2     Example 3     Example 4     Example 5     Example 6     Example 7     Example 8     Example 9     Example 10

    Evaluating Trig Functions Using Sum and Difference Identities (See Examples Below)

        Example 1

        Example 2

    Sum and Difference Identities (See Examples Below)

        Example 1

        Example 2

        Example 3

        Example 4

Sections 9.3 and 9.4

    Evaluating Trig Functions Using Half Angle Identities

Half Angle Identities (See Examples Below)

Example 1

Example 2

    Evaluating Trig Functions Using Double Angle Identities

Double Angle Identities (See Examples Below)

Example 1

Example 2

Example 3

    Product to Sum Identities

Section 9.5

    Solving Trig Equations (See Examples Below)

Examples 1 & 2     Example 3     Example 4     Example 5     Example 6     Example 7     Example 8     Example 9

Sections 10.1 and 10.2

    Law of Sines (See Below)

Part 1     Part 2     Part 3

    Law of Cosines

    Area of a Triangle

    Applications

Sections 10.3 and 10.5

Convert Polar Coordinates to Rectangular Coordinates

Convert Rectangular Coordinates to Polar Coordinates (See Examples Below)

Example 1     Example 2     Example 3     Example 4     Example 5

Rectangular to Polar Form

Polar Form to Rectangular Form

Multiplying Numbers in Trigonometric Form

Dividing Numbers in Trigonometric Form

Nth Root Theorem (See Examples Below)

Example 1

Example 2

Section 10.8

Magnitude and Direction of a Vector (See Examples Below)

Example 1     Example 2     Example 3     Example 4

Component Form of a Vector

Operations With Vectors

Horizontal and Vertical Components

Dot Product

Angle Between Two Vectors

Section 11.5

Matrices Multiplying by a Scalar

Adding and Subtracting Matrices

Multiplying Matrices

Section 11.6

System of Equations Gaussian Elimination (See Examples Below)

Example 1     Example 2     Example 3

Section 11.7

Inverse of a 2 X 2 Matrix

Inverse of a 3 X 3 Matrix

Solve System of Equations Using the Inverse of a Matrix

Section 11.8

Determinant of a 2 X 2 Matrix

Determinant of a 3 X 3 Matrix