Introduction to Exponent (Index), Surd and Logarithm

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Your Primer to learning a language of Mathematicians, Scientists and Engineers

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What Will I Learn?

- Simplify Exponential Expressions
- Solve Exponential Equations
- Simplify Square Roots and Higher Index Roots
- Perform Surd Expansion
- Rationalise Denominator containing Surd
- Solve Equations involving Surds
- Perform basic Arithmetic operation involving Surds
- Simplify Logarithmic Expressions
- Solve Logarithmic Equations
- Sketch and Plot Exponential Curve

Requirements

- Students should already be familiar with Basic Algebra
- No prior knowledge of Logarithm is required

Description

This is an introductory course on Exponents (Indices), Surds and Logarithms. It comprises a total of 8.5 hours worth of videos and quizzes. This is perfect for secondary school students seeking a good primer on all the related topics leading to understanding Logarithms. It is also great as a refresher for everyone else.

The course is arranged from the very basic introduction and progresses swiftly with increasing depth and complexity on the subject. It is recommended that the students do not skip any part of the lectures, or jump back and forth, because good understanding of the fundamental is important as you progress.

Quizzes are included on 23 subtopics to strengthen your understanding and fluency on this topic. So it is advisable that you attempt all the questions.

The course is delivered by an experienced teacher with extensive experience in teaching students on a one to one basis. The instructor understands the difficulties that students normally face to become competent in mathematics. So words and examples were carefully chosen to ensure that everybody gets the most out of this series of lectures. This is a MUST course for all secondary school students.

Have fun learning!

Who is the target audience?

- Secondary and High School Students
- Mathematics Teachers
- Adults seeking a refresher on Exponents, Surds and Logarithms

Compare to Other Math Courses

Curriculum For This Course

58 Lectures

08:21:33
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Introduction to the course
1 Lecture
04:25

The structure of the course is presented in this video. Students will be able to determine if this course is the one for them.

Preview
04:25

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Exponents (Indices)
17 Lectures
02:34:58

Basic information about Exponent is presented in this video. After watching this video, students will be able to describe what an exponent is.

Preview
02:22

The most basic type of exponent is presented. After watching this video students will be able to determine the value of exponential terms with integer exponent and base.

Integer Exponents with Integer Base

04:42

This video builds upon the previous one. It introduces fractional base into exponential terms. After watching this video students will be able to determine the value of exponential terms with integer exponent and fractional base.

Integer Exponents with Fractional Base

06:23

Quiz01 on Integer Exponents

10 questions

This video shows the solution to Quiz 01. After watching this video students will be able to solve all the questions presented in the quiz.

Solutions to Quiz01 (Integer Exponents)

09:31

The video shows some tricks that can be performed between two or more exponential terms with the same base value. After watching this video students will be able to simplify multiple exponential terms with integer exponent and with the same base value.

Positive Integer Exponents with Same Base Value

08:02

This video introduces terms with negative integer exponent. After watching this video students will be able to determine the value of exponential terms with negative integer exponent.

Negative Integer Exponents

10:32

Quiz02 on Positive and Negative Exponents

8 questions

This video contains steps to solve questions in Quiz 02. After watching this video students will be able to answer all the questions in Quiz 02.

Solutions to Quiz02 (Positive and Negative Exponents)

05:42

This video discusses a few important Rules of Exponent. After watching this video students will be able to simplify exponential terms using Rules of Exponent.

Preview
09:11

This video describes fractional exponents and how they relate to roots. After watching this video students will be able to determine values and simplify exponential terms.

Fractional Exponents (part 1 of 2)

10:40

This video describes fractional exponents and how they relate to roots. After watching this video students will be able to determine values and simplify exponential terms.

Fractional Exponents (part 2 of 2)

11:46

Quiz03 on Fractional Exponents

8 questions

This video contains steps to solve questions in Quiz 03. After watching this video students will be able to answer all the questions in Quiz 03.

Solutions to Quiz03 (Fractional Exponents)

07:49

This video explains how to use all the Rules of Exponents to simplify Exponential Expressions. After watching this video students will be able to simplify Exponential Expressions.

Simplifying Exponential Expressions

08:05

Quiz04 on Simplification of Exponential Expressions

8 questions

This video contains steps to solve questions in Quiz 04. After watching this video students will be able to answer all the questions in Quiz 04.

Solutions to Quiz04 (Simplification of Exponential Expresssions)

06:18

This video describes how we can use Rules of Exponents to solve Exponential Equations. After watching this video students will be able to solve Exponential Equations with single unknown exponent.

Solving Exponential Equations (part 1 of 3)

10:13

This video describes how we can use Rules of Exponents to solve Exponential Equations. After watching this video students will be able to solve Exponential Equations with single unknown exponent.

Solving Exponential Equations (part 2 of 3)

09:48

This video describes how we can use Rules of Exponents to solve a few types of Exponential Equations. After watching this video students will be able to solve Exponential Equations with single or double unknown exponents.

Solving Exponential Equations (part 3 of 3)

14:14

Quiz05 on Solving Exponential Equations

10 questions

This video contains steps to solve questions in Quiz 05. After watching this video students will be able to answer all the questions in Quiz 05.

Solutions to Quiz05 (Solving Exponential Equations)

19:40

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Surds
17 Lectures
02:16:46

Basic information about Surd is presented in this video. After watching this video, students will be able to describe what a Surd is.

Preview
01:53

The most basic type of Surd (Square Root) is presented this video. After watching this video students will be able to use Rules of Surd.

Square Root Surds

04:21

This video describes how to use Rules of Surd to simplify Square Roots. After watching this video students will able to use Rules of Surd to Simplify Square Roots.

Simplifying Square Roots

14:26

Quiz06 on Square Roots

10 questions

This video contains steps to solve questions in Quiz 06. After watching this video students will be able to answer all the questions in Quiz 06.

Solutions to Quiz06 (Square Roots)

12:18

This video tells how to perform Surd Expansion. After watching this video students will able to perform Binomial Expansion of expressions containing Surds.

Surd Expansion

06:24

This video introduces Conjugate to Surd expression. After watching this video students will able to perform Binomial Expansion of Conjugate Surds.

Conjugate Surds

04:38

Quiz07 on Surd Expansion and Conjugate Surds

8 questions

This video contains steps to solve questions in Quiz 07. After watching this video students will be able to answer all the questions in Quiz 07.

Solutions to Quiz07 (Surd Expansion and Conjugate Surds)

08:40

This video explains how to rationalise a surd denominator. After watching this video students will be able to rationalise the denominator of a surd expression.

Rationalizing the Denominator

13:49

Quiz08 on Rationalisation of the Denominator

5 questions

This video contains steps to solve questions in Quiz 08. After watching this video students will be able to answer all the questions in Quiz 08.

Solutions to Quiz08 (Rationalisation of the Denominator)

05:48

This lecture shows how to solve equations which contain surds. After watching this video students will be able to solve equations involving surds.

Solving Equations involving Surds

07:48

Quiz09 on Solving Equations involving Surds

5 questions

This video contains steps to solve questions in Quiz 09. After watching this video students will be able to answer all the questions in Quiz 09.

Solutions to Quiz09 (Solving Equations involving Surds)

10:04

This video shows how to simplify Higher Index Roots. After watching this video students will be able to perform simplification of Higher Index Roots.

Simplifying Higher Index Roots

06:57

Quiz10 on Simplification of Higher Index Roots

5 questions

This video contains steps to solve questions in Quiz 10. After watching this video students will be able to answer all the questions in Quiz 10.

Solutions to Quiz10 (Simplification of Higher Index Roots)

07:07

This video shows how to Simplify fractional surds by Rationalizing the Denominator of Higher Index Roots. After watching this video students will be able to Rationalize the Denominator of Higher Index Roots.

Rationalizing Denominator of Higher Index Roots

07:19

Quiz11 on Rationalisation of Denominator of Higher Index Roots

3 questions

This video contains steps to solve questions in Quiz 11. After watching this video students will be able to answer all the questions in Quiz 11.

Solutions to Quiz11 (Rationalisation of Denominator of Higher Index Roots)

03:56

This video shows how to perform Arithmetic operations on Higher Index Roots. After watching this video Students will be able to perform Arithmetic operations on Higher Index Roots.

Basic Arithmetic Operations on Higher Index Roots

14:58

Quiz12 on Basic Arithmetic Operations on Higher Index Roots

4 questions

This video contains steps to solve questions in Quiz 12. After watching this video students will be able to answer all the questions in Quiz 12.

Solutions to Quiz 12 (Basic Arithmetic Operations on Higher Index Roots)

06:20

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Logarithms
23 Lectures
03:25:24

Basic information about Logarithm is presented in this video. After watching this video, students will be able to transform Exponential expressions into Logarithm expressions and vice versa..

Preview
09:36

Quiz13 on Switching between Logarithmic and Exponential forms

10 questions

This video contains steps to solve questions in Quiz 13. After watching this video students will be able to answer all the questions in Quiz 13.

Solutions to Quiz13 (Switching between Logarithmic and Exponential forms)

04:42

Quiz14 on Calculating value of Logarithmic terms

10 questions

This video contains steps to solve questions in Quiz 14. After watching this video students will be able to answer all the questions in Quiz 14.

Solutions to Quiz14 (Calculating value of Logarithmic terms)

07:49

This video describes the most basic form of Logarithm. After watching this video students will be able to find values of Common Logarithmic terms.

Common Logarithms

06:04

Quiz15 on Common Logarithms

5 questions

This video contains steps to solve questions in Quiz 15. After watching this video students will be able to answer all the questions in Quiz 15.

Solutions to Quiz15 (Common Logarithms)

02:56

This video shows how to derive Rules of Logarithm. After watching this video students will be able to derive Rules of Logarithm.

Rules of Logarithm

13:57

This video shows how to apply Rules of Logarithm. After watching this video students will be able to apply Rules of Logarithm when solving Logarithmic problems.

Preview
12:48

Quiz16 on Application of Rules of Logarithm

8 questions

This video contains steps to solve questions in Quiz 16. After watching this video students will be able to answer all the questions in Quiz 16.

Solutions to Quiz16 (Application of Rules of Logarithm)

11:09

This video shows how to simplify Logarithmic expressions. After watching this video students will be able to simplify Logarithmic expressions.

Simplifying Logarithmic Expressions

06:01

Quiz17 on Simplifying Logarithmic Expressions

5 questions

This video contains steps to solve questions in Quiz 17. After watching this video students will be able to answer all the questions in Quiz 17.

Preview
07:40

This video shows how to determine values of Logarithmic expressions by changing the Base. After watching this video students will be able to apply the techniques of changing the base of Logarithm when finding values of Logarithmic expressions.

Change of Base of Logarithms

15:33

Quiz18 on Change of Base of Logarithms

6 questions

This video contains steps to solve questions in Quiz 18. After watching this video students will be able to answer all the questions in Quiz 18.

Solutions to Quiz18 (Change of Base of Logarithms)

10:46

This video introduces the Exponential Constant e. After watching this video students will be able to use Exponential Constant e.

Exponential Constant e

05:19

Quiz19 on Exponential Constant e

4 questions

This video contains steps to solve questions in Quiz 19. After watching this video students will be able to answer all the questions in Quiz 19.

Solutions to Quiz19 (Exponential Constant e)

03:12

This video introduces Natural Logarithms. After watching this video students will be able to transform Exponential expressions with base e into Natural Logarithmic expressions.

Natural Logarithms

03:47

Quiz20 on Natural Logarithms

4 questions

This video contains steps to solve questions in Quiz 20. After watching this video students will be able to answer all the questions in Quiz 20.

Solutions to Quiz20 (Natural Logarithms)

03:19

This video shows how to solve equations when both Exponents and Logarithms are present. After watching this video students will be able to solve equations involving both Exponents and Logarithms.

Solving Equations involving Exponents and Logarithms

13:40

Quiz21 on Solving Equations involving Exponents and Logarithms

6 questions

This video contains steps to solve questions in Quiz 21. After watching this video students will be able to answer all the questions in Quiz 21.

Solutions to Quiz21 (Solving Equations involving Exponents and Logarithms)

12:48

This video shows how to sketch and plot graphs of Exponential Functions. After watching this video students will be able to sketch and plot graphs of Exponential Functions.

Graphs of Exponential Functions (part 1 of 2)

10:07

This video shows how to sketch and plot graphs of Exponential Functions. After watching this video students will be able to sketch and plot graphs of Exponential Functions.

Graphs of Exponential Functions (part 2 of 2)

12:11

Quiz22 on Graphs of Exponential Functions

4 questions

This video contains steps to solve questions in Quiz 22. After watching this video students will be able to answer all the questions in Quiz 22.

Solutions to Quiz22 (Graphs of Exponential Functions)

12:08

This video shows how to sketch and plot graphs of Logarithmic Functions. After watching this video students will be able to sketch and plot graphs of Logarithmic Functions.

Graphs of Logarithmic Functions

08:21

Quiz23 on Graphs of Logarithmic Functions

4 questions

This video contains steps to solve questions in Quiz 23. After watching this video students will be able to answer all the questions in Quiz 23.

Solutions to Quiz23 (Graphs of Logarithmic Functions)

11:31

About the Instructor