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As you work through these lectures with the aid of the videos, it is recommended that you try the problems in the lecture notes prior to watching the solutions.

Lectures

Lecture 1, Real Numbers Absolute Value

Video Lecture 1, Part 1

Video Lecture 1, Part 2

Video, Lecture 1, Part 3.

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Lecture 2, Exponents and Radicals

Video Lecture 2, Part 1, Exponents

Video Lecture 2, Part 2, Exponents

Video Lecture 2, Part 3, Exponents

Video Lecture 2, Part 4, Scientific Notation

Video Lecture 2, Part 5, Root Functions

Video Lecture 2, Part 6, Laws of Exponents Again

Video Lecture 2, Part 7, Rational Exponents

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Lecture 3, Polynomials

Video Lecture 3, Part 1, Algebraic Expressions

Video Lecture 3, Part 2, Factoring Algebraic Expressions

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Lecture 4, Rational Expressions

Video Precalculus, Lecture 4, Part 1, Rational Expressions Domains

Video Precalculus, Lecture 4, Part 2, Rational Expressions Algebra 1

Video Precalculus, Lecture 4, Part 3, Rational Expressions Algebra 2

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Lecture 5, Solving Equations

Video Precalculus Lecture 5, Part 1, Equations

Video Precalculus Lecture 5, Part 2, Quadratic Equations

Video Precalculus Lecture 5, Part 3, Completing The Square

Video Precalculus Lecture 5, Part 4, Quadratic Formula

Video Precalculus Lecture 5, Part 5, Discriminant

Video Precalculus Lecture 5, Part 6, Path of Projectile

Video Precalculus Lecture 5, Part 7, Solving Rational equation

Video Precalculus Lecture 5, Part 8, Equations with radicals

Precalculus Lecture 5, Part 9, absolute valuee quations

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Lecture 6 Modeling with equations

Video Precalculus Lecture 6, Modelling with equations Example 1

Video Precalculus Lecture 6, Modelling with equations Example 2

Video Precalculus Lecture 6, Modelling with equations Example 3

Video Precalculus Lecture 6, Modelling with equations Example 4

Video Precalculus Lecture 6, Modelling with equations Example 5

Precalculus Lecture 6, Modelling with equations Example 6

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Lecture 7 Inequalities

Video Precalculus Lecture 7 Part 1 Solving Inequalities

Video Precalculus Lecture 7 Part 2 Solving simultaneous inequalities

Video Precalculus Lecture 7 Part 3 Quadratic Inequalities1

Video Precalculus Lecture 7 Part 4 Quadratic Inequalities2

Video Precalculus Lecture 7 Part 5 Rational Inequalities1

Video Precalculus Lecture 7 Part 6 Rational Inequalities2

Video Precalculus Lecture 7 Part 7 Inequalities Absolute Values1

Video Precalculus Lecture 7 Part 8 Inequalities Absolute Values2

Video Precalculus Lecture 7 Part 9 Inequalities Absolute Values3

Video Precalculus Lecture 7 Part 10 Inequalities Absolute Values4

Video Precalculus Lecture 7 Part 11 Inequalities modeling

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Lecture 8 Coordinate Geometry

Video Precalculus Lecture 8 Part 1 Cartesian Coordinates

Video Precalculus, Lecture 8 Part 2 The Distance Formula

Video Precalculus, Lecture 8 Part 3 Graphing Equations

Video Precalculus, Lecture 8 Part 4 Graphing Equations Example 1

Video Precalculus, Lecture 8 Part 5 Graphing Equations Example 2

Video Precalculus, Lecture 8 Part 6 Graphing Equations Example 3

Video Precalculus, Lecture 8 Part 7 x and y intercepts

Video Precalculus, Lecture 8 Part 8 x and y intercepts Example 2

Video Precalculus, Lecture 8 Part 9 Equation of a Circle

Video Precalculus, Lecture 8 Part 10 Equation of a Circle Example 2

Video Precalculus, Lecture 8 Part 11 Equation of a Circle Example 3

Video Precalculus,Lecture 8 Part 12 Symmetry

Video Precalculus, Lecture 8 Part 13 Symmetry Examples

 

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Lecture 9 lines

Video Precalculus Lecture 9 Part 1lines

Video Precalculus, Lecture 9 Part 2 Finding the equation of a Line

Video Precalculus, Lecture 9 Part 3 General equation of a Line

Video Precalculus, Lecture 9 Part 4 Parallel Lines

Video Precalculus, Lecture 9 Part 5 Perpendicular Lines

Video Precalculus, Lecture 9 Part 6 Families of Lines

Video Precalculus, Lecture 9 Part 7 Slope and rate of Change Example 1

Video Precalculus, Lecture 9 Part 8 Slope and rate of Change Example 2

Video Precalculus, Lecture 9 Part 9 Slope and rate of Change Example 3

 

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Lecture 10, Functions

Video Precalculus, Lecture 10, Part 1, Functions

Video Precalculus Lecture 10, Part 2, Definition of a Function

Precalculus,Lecture 10, Part 3, Evaluating a Function, Piecewise defined functions

Precalculus, Lecture 10, Part 4, The Difference Quotient

Precalculus, Lecture 10, Part 5, The Difference Quotient Example 2

Precalculus, Lecture 10, Part 6, The Difference Quotient for a Piecewise Defined Function

Precalculus, Lecture 10, Part 7, Domain of a Function

Precalculus, Lecture 10, Part 8, Domain of a Function, Example 2

Precalculus, Lecture 10, Part 9, Domain of a Function, Example 3

Precalculus, Lecture 10, Part 10, Domains of common Functions

Precalculus, Lecture 10, Part 11, Example, modeling with functions

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Lecture 11, Graphs of Functions

Precalculus, Lecture 11, Part 1, Graph of a Function

Precalculus, Lecture 11, Part 2, Join The Dots

Precalculus, Lecture 11, Part 3, More Join The Dots

Precalculus, Lecture 11, Part 4, getting Information From a graph

Precalculus, Lecture 11, Part 5, Graphs of Piecewise Defined Functions

Precalculus, Lecture 11, Part 6, Vertical Line Test

Precalculus, Lecture 11, Part 7, Vertical Line Test

Precalculus, Lecture 11, Part 8, Catalogue of Functions

 

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Lecture_12_Transformations_of_Functions

Precalculus, Lecture 12, Part 1, Vertical Shifts

Precalculus, Lecture 12, Part 2, Vertical Shifts

Precalculus, Lecture 12, Part 3, Horizontal Shifts

Precalculus, Lecture 12, Part 4, Horizontal Shifts

Precalculus, Lecture 12, Part 5, Graphing Quadratics

Precalculus, Lecture 12, Part 6, Vertical stretching and shrinking of graphs

Precalculus, Lecture 12, Part 7, Vertical stretching and shrinking of graphs

Precalculus, Lecture 12, Part 8, Horizontal stretching and shrinking of graphs

Precalculus, Lecture 12, Part 9, Horizontal stretching and shrinking of graphs

Precalculus, Lecture 12, Part 10, Reflecting in the axes

Precalculus, Lecture 12, Part 11, Examples

Precalculus, Lecture 12, Part 12, Even and Odd Functions

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Lecture_13_Composing_Functions

Precalculus, Lecture 13, Part 1, Sums, products and quotients of functions

Precalculus, Lecture 13, Part 2, Composition of functions

Precalculus, Lecture 13, Part 3, More on Composition of functions

Precalculus, Lecture 13, Part 4, Composing more than two functions

Precalculus, Lecture 13, Part 5, Composition of functions, application 1

Precalculus, Lecture 13, Part 6, Composition of functions, application 2

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Lecture_14_Trigonometry

Precalculus, Lecture 14, Part 1, Angle measure

Precalculus, Lecture 14, Part 2, More on Angle measure

Precalculus, Lecture 14, Part 3, Trigonometry of right angles

Precalculus, Lecture 14, Part 4, Trigonometric functions evaluated at basic angles

Precalculus, Lecture 14, Part 5, General Trigonometric functions

Precalculus, Lecture 14, Part 6, Using the Unit circle to calculate Sin, Cos, Tan

Precalculus, Lecture 14, Part 7, Using the Unit circle to calculate Sin, Cos, Tan, Examples

Precalculus, Lecture 14, Part 8, Graph of Sin(x)

Precalculus, Lecture 14, Part 9, Graph of Cos(x)

Precalculus, Lecture 14, Part 10, Graph of Tan(x)

Precalculus, Lecture 14, Part 11, Graphing variations of Sin(x) and Cos(x)