4.94 out of 5
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Pre-Calculus Video Series

An in depth review of everything needed to become prepared for a Calculus course.
Instructor:
Jesse Patrick
62 students enrolled
English [Auto]
All the skills needed to be successful in Calculus, including advanced algebra, trigonometry, and an introduction of limits.

This course will provide students with an in-depth overview of Pre-Calculus (advanced algebra and trigonometry).  All major Pre-Calc topics covered in most classes will also be covered in great detail in this course.  Students can use this video series to supplement all course instruction they are currently receiving, or even use this course as they progress through a virtual course.

Unit 1 - Fundamental Algebra Skill Review

1
Lesson - Algebra Review Pre-Quiz
2
Lesson - Factoring Review
3
Lesson - Simplifying Rational Expressions
4
Lesson - Properties of Exponents
5
Lesson - Composition of Functions
6
Review - Algebra Review Assignments #1-3

Unit 2 - Parent Functions and Their Properties

1
Explore - Parent Graphs
2
Lesson - Transformations of Functions
3
Lesson - Sketching Functions Using Parent Graphs & Transformations
4
Lesson - Inverse Relations and Functions
5
Lesson - Piecewise Functions
6
Lesson - Step Functions
7
Lesson - Finding Domain Algebraically
8
Review - Unit 2

Unit 3 - Polynomial and Rational Functions

1
Lesson - Graphing Polynomial Functions
2
Lesson - Dividing Polynomials
3
Lesson - Finding Zeros of Polynomials
4
Lesson - Finding Complex Zeros of Polynomials
5
Lesson - Graphing Rational Functions
6
Review - Unit 3
7
Lesson - Solving Non-Linear Inequalities

Unit 3b - Math Modeling

1
Lesson - Function Optimization (Maximizing Area/Vol and Minimizing Time/Energy)

Unit 4 - Exponential and Logarithmic Functions

1
Lesson - Exponential Functions
2
Lesson - Properties of Logarithms
3
Lesson - Graphing Logarithms
4
Lesson - Solving Exponential and Logarithmic Equations Algebraically
5
Lesson - Applications of Exponents and Logarithms
6
Practice/Review - Unit 4

Unit 5 - Conic Sections

1
Lesson - Conic Sections Intro/General Form of Conics
2
Lesson - Circles
3
Lesson - Ellipses
4
Lesson - Hyperbolas
5
Lesson - Parabolas
6
Review - Conics
7
Practice - Applications of Conics

Unit 6 - Right Triangle Trigonometry & The Unit Circle

1
Lesson - Right Triangle Trigonometry
2
Lesson - Solving Right Triangles
3
Lesson - Angles: Radians and Degrees
4
Lesson - The Unit Circle

Unit 7 - Graphing Trigonometric Functions

1
Lesson - Graphing Sine and Cosine
2
Lesson - Graphing Secant and Cosecant
3
Lesson - Graphing Tangent and Cotangent
4
Practice - Graphing Review
5
Lesson - Inverse Trig Functions

Unit 8 - Law of Sines and Cosines

1
Lesson - Law of Sines
2
Lesson - Law of Cosines
3
Lesson - Applications of Law of Sines and Law of Cosines

Unit 9 - Verifying Trigonometric Identities

1
Lesson - Trigonometric Identities
2
Practice - Trigonometric Identities
3
Lesson - Addition and Subtraction Formulas
4
Lesson - Double and Half Angle Formulas
5
Practice - Cumulative Proof Practice
6
Lesson - Trigonometric Equations

Unit 10 - Vectors

1
Lesson - Complex Numbers
2
Lesson - Vectors
3
Lesson - Dot Product

Unit 11 - Partial Fractions

1
Lesson - Partial Fraction Decomposition

Unit 12 - Polar and Parametric Equations

1
Lesson - Polar Coordinates
2
Lesson - Polar Graphs
3
Lesson - Parametric Equations

Unit 13 - Sequences/Series & Math Induction/Binomial Theorem

1
Lesson - Introduction to Sequences and Series
2
Lesson - Arithmetic Sequences and Series
3
Lesson - Geometric Sequences and Series
4
Lesson - Binomial Theorem
5
Lesson - Mathematical Induction

Unit 14 - Calculus Preview - Limits

1
Lesson - Finding Limits Graphically
2
Lesson - Finding Limits Algebraically
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Includes

30 hours on-demand video
9 articles
Full lifetime access
Access on mobile and TV
Certificate of Completion