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Build a Strong Foundation of Mathematics to Start a Successful Career in Mathematics, Engineering or Science.

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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.

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):

- Equations and Inequalities
- Functions
- Linear Functions
- Polynomial and Rational Functions
- Exponential and Logarithmic Functions
- The Unit Circle: sine and Cosine Functions
- Trigonometric Identities and Equations
- Further Application of Trigonometry
- Systems of Equations and Equalities
- Analytic Geometry
- Sequences, Probability and Counting Theory (end of Trigonometry and Algebra Book)
- Functions and Graphs (Beginning of Calculus Volume 1)
- Limits
- Derivatives
- Application of Derivatives
- Integration
- Applications of Integration (End of Calculus Volume 1)
- Techniques of Integration (Calculus Volume 2)
- Introduction to Differential Equations
- Sequences and Series
- Power Series
- Parametric Equations and Polar Coordinates
- Vectors in Space (Calculus Volume 3)
- Vector-Valued Functions
- Differentiation of Functions of Several Variables
- Multiple Integration
- Vector Calculus
- 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

Expand All 89 Lectures
Collapse All 89 Lectures
14:59:58

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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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