Algebra Trigonometry Prerequisites
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Algebra Trigonometry Prerequisites

Build a Strong Foundation of Mathematics to Start a Successful Career in Mathematics, Engineering or Science.
3.9 (12 ratings)
Instead of using a simple lifetime average, Udemy calculates a course's star rating by considering a number of different factors such as the number of ratings, the age of ratings, and the likelihood of fraudulent ratings.
1,209 students enrolled
Created by Great IT Courses
Last updated 12/2016
English
Current price: $10 Original price: $30 Discount: 67% off
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Includes:
  • 15 hours on-demand video
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
What Will I Learn?
  • At the end of this course, you will have a solid foundation of the topics covered in this course (see course description) and join it to the next courses in this series to build a strong foundation and successful career in mathematics, engineering, science, etc.
View Curriculum
Requirements
  • You should be able to access the lectures via any device connected to the Internet. Moreover, you should have completed at least the 8th grade in order to have the underlying mathematical skills.
Description

This course is the first stepping stone in a series of 29 courses that will take your on a successful and exciting journey of Mathematics all the way up to Calculus. Nonetheless, the course can be taken individually as well. The textbook used in this course is "Algebra and Trigonometry" from the OpenStax College. This course covers the first chapter of the book. 

This course covers the following topics: 

  • Real Numbers
  • Exponents and Scientific Notation
  • Radicals
  • Polynomials
  • Rational Expressions

You can subscribe to the first course in this series free of cost as a welcome gift from us. Enjoy learning mathematics with us! 

To give an idea of where this series is going to take you, please read on. 

The next 28 courses in this series are as follows (all based on the original current organization of OpenStax College's mathematics textbooks): 

  1. Equations and Inequalities
  2. Functions
  3. Linear Functions
  4. Polynomial and Rational Functions
  5. Exponential and Logarithmic Functions
  6. The Unit Circle: sine and Cosine Functions
  7. Trigonometric Identities and Equations
  8. Further Application of Trigonometry
  9. Systems of Equations and Equalities
  10. Analytic Geometry
  11. Sequences, Probability and Counting Theory (end of Trigonometry and Algebra Book) 
  12. Functions and Graphs (Beginning of Calculus Volume 1) 
  13. Limits
  14. Derivatives
  15. Application of Derivatives
  16. Integration 
  17. Applications of Integration (End of Calculus Volume 1)
  18. Techniques of Integration (Calculus Volume 2) 
  19. Introduction to Differential Equations
  20. Sequences and Series
  21. Power Series
  22. Parametric Equations and Polar Coordinates
  23. Vectors in Space (Calculus Volume 3) 
  24. Vector-Valued Functions
  25. Differentiation of Functions of Several Variables
  26. Multiple Integration
  27. Vector Calculus
  28. Second-Order Differential Equations
Who is the target audience?
  • This course is for you if you want to build a successful career in science, engineering, Mathematics or wherever you might need a good understanding of mathematics.
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Curriculum For This Course
89 Lectures
14:59:58
+
1.1 - Real Numbers: Algebra Essentials
23 Lectures 03:37:29

A brief history of numbers from 10000 years ago

Preview 01:57

A representation of the whole universe of numbers

Preview 10:36

Different subsets of real numbers

Real Numbers Classification
13:16

Exercise – classifying numbers as rational, irrational, natural, whole, integer

Real Numbers Exercises
12:17

Explanation of the real number line

Real Number Line
08:56

Exercise – classifying numbers as rational, irrational, natural, whole, integer

Real Numbers Exercise
09:31

order of operations explanation – PEMDAS

Order of Operations
10:07

Exercise – order of Operations

Order of Operations Exercise
12:59

Commutative property of addition and multiplication, Associative property of addition and multiplication

Properties of Real Numbers
08:06

Distributive Property

Properties of Real Numbers
07:29

Distributive Property Special Case

Properties of Real Numbers
03:49

Identity Property of Addition and Multiplication

Properties of Real Numbers
05:02

Inverse Property of Addition and Multiplication

Properties of Real Numbers
07:34

Properties of Real Numbers General Overview

Properties of Real Numbers
06:05

Exercise – Properties of Real Numbers

Properties of Real Numbers Exercises (Part 1 of 3)
12:15

Exercise – Properties of Real Numbers

Properties of Real Numbers Exercises (Part 2 of 3)
13:02

Exercise – Properties of Real Numbers

Properties of Real Numbers Exercises (Part 3 of 3)
10:17

Algebraic expressions Definition and Evaluation

Algebraic Expressions
06:11

Algebraic Expressions Exercises (part 1 of 2)
14:34

Algebraic Expressions Exercises (Part 2 of 2)
10:15

Formulas and Equations
09:46

Simplifying Algebraic Expressions
13:32

Simplifying Algebraic Expressions Exercises
09:53
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1.2 - Exponents and Scientific Notation
22 Lectures 03:51:00
Exponential Expressions and Scientific Notation
08:06

Product Rule of Exponents
11:32

Quotient Rule of Exponents
13:46

Quotient Rule of Exponents Exercises
02:43

Power Rule of Exponents
10:35

Power Rule of Exponents Exercises
05:57

Zero Exponent Rule of Exponents
07:35

Zero Exponent Rule of Exponents Exercises
10:35

Negative Rule of Exponents
10:26

Negative Rule of Exponents Exercises
12:02

Power of Product Rule of Exponents
05:26

Power of Product Rule of Exponents Exercises
14:06

Power of Quotient Rule of Exponents
07:35

Power of Quotient Rule of Exponents Exercises
14:28

Exercise - Simplifying Exponential Expressions

Simplifying Exponential Expressions Exercises
14:49

Scientific Notation (Part 1 of 2)
14:28

Scientific Notation (Part 2 of 2)
06:46

Exercise - Standard to Scientific Notation Conversion

Standard to Scientific Notation Conversion Exercises
14:44

Exercise - Scientific to Standard Notation Conversion

Scientific to Standard Notation Conversion Exercises
10:07

Why you should use scientific notation

Scientific Notation Use Case
06:49

Scientific Notation Exercises (Part 1 of 2)
14:11

Exercise – Scientific Notation 

Scientific Notation Exercises (Part 2 of 2)
14:14
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1.3 - Radical and Rational Expressions
17 Lectures 03:21:38
Radical Expressions Introduction
09:15

Square Roots Definition
11:26

Square Roots Exercies
14:34

Product Rule to Simplify Square Roots Explanation

Product Rule to Simplify Square Roots
12:21

Product Rule to Simplify Square Roots Exercises (Part 1 of 2)
14:05

Product Rule to Simplify Square Roots Exercises (Part 2 of 2)
04:46

Quotient Rule for Simplifying Square Roots Definition and Examples

Quotient Rule for Simplifying Square Roots
14:56

Quotient Rule for Simplifying Square Roots Exercises (Part 1 of 2)
10:47

Two techniques to rationalize denominators containing radical expressions

Quotient Rule for Simplifying Square Roots Exercises (Part 2 of 2)
11:19

Rationalizing Denominators
14:30

Rationalizing Denominators Exercises
06:39

Rational Roots
12:13

Rational Roots Exercises (Part 1 of 3)
14:54

Rational Roots Exercises (Part 2 of 3)
14:58

Rational Roots Exercises (Part 3 of 3)
07:55

Rational Exponents
12:21

Rational Exponents Exercises
14:39
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1.4 - Polynomials
8 Lectures 01:09:46
Polynomials Introduction
07:42

Definition of Polynomials and Important Terms

Polynomials Definition
10:44

Polynomials Exercises
03:56

Adding Polynomials Explanation and Exercises

Adding Polynomials
14:25

Multiplying Polynomials using Distributive Property, Table and FOIL methods

Multiplying Polynomials
11:07

Expanding Polynomials using Perfect Square Trinomials Rule

Multiplying Polynomials – Perfect Square Trinomials
11:03

Expanding Polynomials using Difference of Squares Rule

Multiplying Polynomials – Difference of Squares
02:43

Performing Operations With Polynomials of Several Variables

Polynomials of Several Variables
08:06
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1.5 - Factoring Polynomials
12 Lectures 01:45:10

Factoring the Greatest Common Factor in a Polynomial

Greatest Common Factor (GFC)
11:01

Greatest Common Factor Exercises
08:48

Factoring Trinomials with Leading Coefficient 1 Explanation and Definition

Factoring Trinomials with Leading Coefficient 1
14:17

Factoring Trinomials with Leading Coefficient 1 Exercises
13:05

Factoring Trinomials with Leading Coefficient 1 Explanation

Factoring Trinomials with Leading Coefficient Other Than 1
04:04

Factoring Trinomials with Leading Coefficient Other Than 1 Exercises
10:17

Factoring Perfect Sqaure Trinomials Explanation

Factoring Perfect Square Trinomials
08:23

Factoring Perfect Square Trinomials Exercises
03:47

Factoring a Difference of Squares Explanation and Examples

Factoring a Difference of Squares
03:40

Factoring the Sum and Difference of Cubes Explanation and Examples

Factoring the Sum and Difference of Cubes
11:07

Factoring Expressions with Fractional or Negative Exponents Explanation and Exercises

Factoring Expressions with Fractional or Negative Exponents
10:14

Factoring Expressions with Fractional or Negative Exponents Exercises
06:27
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1.6 - Rational Expressions
7 Lectures 01:14:55

Rational Expressions Introduction and Examples

Rational Expressions
06:19

Simplifying Rational Expressions Explanation and Exercises

Simplifying Rational Expressions
11:15

Multiplying Rational Expressions Explanation and Exercises

Multiplying Rational Expressions
11:36

Dividing Rational Expressions Explanation and Exercises

Dividing Rational Expressions
10:10

Adding and Subtracting Rational Expressions
14:18

Adding and Subtracting Rational Expressions Exercises
13:15

Simplifying Complex Rational Expressions Explanation and Exercises

Simplifying Complex Rational Expressions
08:02
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