Pre-Calculus Video Series
An in depth review of everything needed to become prepared for a Calculus course.
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
You can view and review the lecture materials indefinitely, like an on-demand channel.
Definitely! If you have an internet connection, courses on Udemy are available on any device at any time. If you don't have an internet connection, some instructors also let their students download course lectures. That's up to the instructor though, so make sure you get on their good side!
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Includes
30 hours on-demand video
9 articles
Full lifetime access
Access on mobile and TV
Certificate of Completion