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Teaching & Academics Math Calculus

Pre Calculus Mastered

Become an Expert on a Wide Range of Functions, Trigonometry, Sequence & Series, Conic Sections and other Precalc topics
Rating: 4.5 out of 54.5 (152 ratings)
963 students
Created by Miran Fattah
Last updated 12/2020
English
English [Auto]
30-Day Money-Back Guarantee

What you'll learn

  • Find domain and range of a variety of functions.
  • Determine behavior of a function from its graph.
  • Transform and combine functions.
  • Divide Polynomials.
  • Master Logarithmic and Exponential functions.
  • Master the Unite Circle.
  • Construct and Graph Trigonometric Functions and Inverse Trig Functions.
  • Determine domain and range of of Trigonometric Functions.
  • Proof Trigonometric identities and equations.
  • Master Sequences and Series and get to know the different kinds.
  • Aquire thorough understanding of Conic Sections, and how to find their equations.
  • Be able to use the Binomial Theorem to expand powers of a binomial

Requirements

  • Have a very basic background in Algebra.

Description

WHAT IS THIS COURSE ABOUT?

Having trouble learning Pre-calculus? Don't know where to start? 

Well, you are in the right place. I want to welcome you to a course on Precalculus where you will acquire skills to become an expert on a wide range of Functions, Trigonometry, Sequences & Series, and Conic Sections. I have created this course for students to have a place where they can learn, understand, and excel in Pre-calculus in order to have a strong foundation for more advanced courses like Calculus. 

The course consists of an extensive curriculum teaching you different concepts in Functions, Trigonometry, Sequences & Series, and Conic Sections. At the end of this course, you will be able to, 

  1. Find the domain and range of functions. 

  2. Determine the behavior of a function from the graph of it. 

  3. Transform and combine functions. 

  4. Divide Polynomials. 

  5. Master Logarithms and Exponential functions. 

  6. know the Unite Circle. 

  7. Construct and Graph Trigonometric Functions and Inverse Trig Functions. 

  8. Determine the domain and range of Trigonometric Functions. 

  9. Proof Trigonometric identities and equations. 

  10. Master Sequences and Series and get to know the different kinds.

  11. Acquire a thorough understanding of Conic Sections, and how to find their equations.


YOU WILL ALSO GET:

  1. Lifetime Access

  2. Q&A section with support

  3. Certificate of completion

  4. 30-day money-back guarantee


HOW IS IT DELIVERED?

I know visually seeing a problem getting solved is the easiest and the most direct way for a student to learn so I designed the course keeping this in mind. I go through concepts and problems using electronic pen and paper, explaining each step along the way so you have a clear idea of how to go from A to B to C without any problem. 


HOW DO I LEARN BETTER?

There are quizzes after each section so you can test your knowledge and see how much of the material has sunk in. There are also practice problems attached to the lectures so you could practice what you learn. I suggest you go through each lesson several times to better understand the topics.

Who this course is for:

  • Students currently taking Precalculus.
  • People who want to learn Precalculus or prepare for Calculus.
  • Homeschool parents wanting to support their kids with Precalculus

Course content

15 sections • 115 lectures • 21h 22m total length

  • Preview10:48

  • Number Sets
    10:07
  • Coordinate Plane
    06:20

  • Function
    15:05
  • Evaluating a Function
    12:29
  • Quiz
    5 questions
  • Domain
    15:56
  • Domain of Rational Functions
    16:44
  • Domain of Roots
    17:49
  • Range
    05:29
  • Quiz
    12 questions
  • Graphs
    15:53
  • Graphing Calculator
    06:09
  • Piecewise Functions
    04:01
  • Extracting Info from a Graph
    12:13
  • Domain & Range from a Graph
    07:57
  • Increasing and Decreasing Functions
    07:28
  • Local Maximum and Minimum
    08:42
  • The Vertical Line Test
    09:46
  • Quiz
    9 questions

  • Vertical Shifting
    04:35
  • Horizontal Shifting
    06:03
  • More Examples
    09:20
  • Vertical Stretching and Shrinking
    06:27
  • Horizontal Stretching and Shrinking
    06:24
  • Graph Reflection
    10:33
  • Even & Odd Functions
    08:19
  • Quiz
    12 questions

  • Function Combinations
    09:00
  • Domain of Combined Functions
    11:52
  • Function Composition
    09:43
  • One to One Function
    08:18
  • Inverse Functions
    10:11
  • Graph of Inverse Functions
    05:24
  • Range Examples
    06:26
  • Quiz
    10 questions

  • Polynomials
    07:56
  • End Behavior
    14:01
  • Real Roots of Polynomials
    07:14
  • Intermediate Value Theorem for Polynomials
    08:47
  • Crossing the x-axis
    05:51
  • Local Extrema
    04:31
  • Quiz
    15 questions
  • Long Division
    15:31
  • More Examples
    07:35
  • Synthetic Division
    09:01
  • The Remainder Theorem
    05:44
  • The Factor Theorem
    05:07
  • The Rational Zeros Theorem
    12:15
  • Quiz
    6 questions

  • Introduction
    04:22
  • Preview16:01
  • Horizontal Asymptotes
    10:18
  • Slant Asymptotes
    11:46
  • Graphing Rational Functions
    24:16
  • Quiz
    9 questions

  • Exponential Functions
    04:31
  • Graph of Exponential Functions
    06:48
  • The Natural Exponential Function
    05:53
  • Exponential Equations
    07:04
  • Interest
    18:45
  • Quiz
    3 questions

  • Logarithms
    12:38
  • Graph of Logarithmic Functions
    12:28
  • Natural Logarithm
    07:26
  • Logarithm Laws
    06:22
  • Logarithmic Equations
    08:18

  • Introduction
    00:46
  • The Unit Circle
    07:52
  • Terminal Points
    30:30
  • Reference Number
    21:30
  • Quiz
    13 questions
  • Trigonometric Functions
    12:28
  • Evaluating Trigonometric Functions
    14:06
  • Graph of Sine & Cosine
    24:13
  • Sine & Cosine Graph Transformations
    16:25
  • Quiz
    9 questions
  • Tangent & Cotangent Graphs
    20:10
  • Secant & Cosecant Graphs
    25:09
  • Preview21:39
  • Examples
    12:47
  • Domain and Range of Sec, Csc and Cot
    13:16
  • Examples
    16:25
  • Quiz
    10 questions

Instructor

Miran Fattah
B.S. in Mathematics & Geophysics
Miran Fattah
  • 4.5 Instructor Rating
  • 2,822 Reviews
  • 19,868 Students
  • 10 Courses

Fattah has B.S. in Mathematics and Geophysics from the University of Oklahoma in Oklahoma, USA. He has taught and tutored tens of thousands of college students all over the world. His love for teaching made him one of four students in Iraq to receive a full scholarship to pursue a B.S. degree in the States so to return back to his home country and teach. 

He is passionate about Math & Science and loves to share his passion with others. To him, Mathematics and Sciences are crucial for everyone to learn no matter how little. He is a BIG believer in visual learning, and his aim is to deliver the concepts in an easy and direct way so as to make the learning process fast for anyone.

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