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# The Complete High School and College Mathematics

## Ace your IGCSE, A-levels, WAEC and JAMB

4.13 (62 reviews)

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## What you will learn

College and High School Mathematics

Number bases

Indices

Logarithms

Calculus

Statistics

Probability

Sets

Logical reasoning

Matrices

Trigonometric ratios

And more

## Description

Welcome to The Complete High School and College Mathematics!

We take you through everything you need to know about high school and college mathematics in this course. This course covers Number bases, Indices, Logarithms, Calculus, Statistics, Probability and much more in details, with loads of examples and work through exercises. This course is designed to make you a standout mathematician and set you on the path to becoming an A student in Mathematics.

If you need a crash course to set your mathematics foundation right, then this is the course for you. Everything you need to know about high school and college mathematics in one place: there are hundreds of examples in this course, work through solutions using past questions from different exams, exam tips for success, and practical advice to get you flying in mathematics. The Complete High School and College Mathematics is the course for any student who wants to be a top mathematics student.

If you are looking at starting a STEM-based career, a sound understanding of mathematics concepts, application, and use will help you achieve your dream. In addition to excellent teaching, there are soft copies of summary notes for each topic. This is provided to aid your revision process and accelerate your learning process.

Also, our teaching assistants are ready to take your questions in the comment section, so you are never left in the dark with regards to any high school or college mathematical problem.

See you in the course.

## Screenshots    ## Content

Introduction

Introduction

Number base

Objectives

Introduction to number base system

Binary system A

Binary system B

Application of number bases

Indices

Objectives

Multiplication law

Division power law

Zero and negative power laws

Composite power laws

Fractional power laws

Examples on application of indices

Logarithms

Objectives

Definition of logarithm

Basic laws of logarithm

Examples A

Examples B

Sequence and series

Objectives

Definition of sequence and series

Arithmetic progression

questions in AP

Sum of arithmetic progression

Geometric progression

Questions in GP

Sets

Objectives

Meaning of set

Types of set

Set operations

Sample questions

Logical reasoning

Objectives

Definition of logical reasoning and statement

Negation of a simple statement

Truth table

Compound statement

Connectives

Bi-conditional statements

Tautology

Surds

Objectives

Definition of surd

Basic operations in surd

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Sample questions

Matrices

Objectives

Some basic definitions

Order of a matrix

Types of matrices

Transpose of a matrix A

Transpose of a matrix B

Determinant

Tutorial questions

Ratio, proportion and percentages

Objectives

Introduction

Examples on ratios

Proportions

Percentages

Financial arithmetic

Objectives

Simple interest

Compound interest

Commission

Profit and loss

Variation

Objectives

definition of variation

Direct variation

Inverse variation

Joint variation

Partial variation

Practice questions

Simultaneous linear equation

Objectives

Defintion and methods of simultaneous linear equations

Substitution method

Elimination method

Graphical solution A

Graphical solution B

World problem leading to S.L.E (part1)

World problem leading to S.L.E (part2)

Objectives

Introduction

Condition for a quadratic equation to be a perfect square

Sum and product of roots of a quadratic equation

Formation of quadratic equation with known roots

Examples and tutorial questions

Basic algebraic process

Objectives

Course overview

Examples on basic algebraic operation

Algebraic expression involving fraction A

Algebraic expression involving fraction B

Basic Geometry

Objectives

Types of angles

Elementary theorems and examples A

Elementary theorems and examples B

Construction

Objectives

Construction of lines

Angles 45 and 90 degree

Angles 60 and 30 degree

Construction of triangles

Construction of inscribe circle in a triangle

Solid shapes

Objectives

Mensuration of cube and cuboid

Cube

Cuboid

Mensuration of a cylinder

Mensuration of a cone

Mensuration of frustum of a cone

Sphere and hemisphere

Mensuration of prism and pyramid

Polygon

Objectives

Definition of terms

Some important formula

Examples part A

Examples part B

Tutorial questions

Trigonometric ratios I

Objectives

Trigonometric ratios A

Trigonometric ratios B

Proof of some angle theorems A

Proof of some angle theorems B

Ratios for Angle 45 degree

Ratios for angles 30 and 60 degree

Trigonometric ratios II

Objectives

Definition of special angles

Derivation of special angles

Derivation of double angle formula

Example 1

Example 2

Integration

Objectives

General concept of integration

Example 1

Example 2 (part A)

Example 2 (part B)

Differentiation

Objectives

Expression of differentiation

Rules of differentiation

questions on differentiation

Statistics I

Objectives

Definition of statistics

Representation of data

Bar chart A

Bar chart B

Pie chart A

Pie chart B

Frequency table

Example 1A on frequency distribution

Example 1B on frequency distribution

Example 2 on frequency distribution

Measures of position

Examples on measures of position

Tutorial questions

Statistics II

Objectives

Measures of dispersion

Example 1 on measures of dispersion

Example 2 on measures of dispersion

Tutorial questions

Probability

Objectives

Definition and types of probability

Definition of terms

Examples on sample space

Basic laws of probability (part 1)

Basic laws of probability (part 2)

Non mutual events

Multiplication of probabilities

Tutorial questions

Bonus Section

Conclusion

## Reviews

M
Mario29 July 2021

I feel the lecture is in a hurry and that this too fast for a beginner and his examples are impractical. His method of teaching is not aimed for beginners like me.

Z
Zaw22 July 2021

It's a good practical course for peson like me who're bad in maths:). Although I want to give it five stars, his accent made me uneasy to understand some chapter in this course.

L
Luis16 July 2021

The course is not bad. However it is misnamed as it only includes High School Mathematics. Also, the audio could be better, non native speakers could struggle a little to understand.

D
Dom9 June 2021

Nice course. Explanations are up to the mark. Although, there is an accent difference but still everything can be understood clearly. Definitely recommended

V
Vijay8 June 2021

The explanations and examples are well crafted and easily understood. Awesome course overall. Highly recommended

M
Maks8 June 2021

Crystal clear explanation of math I didn't learn as a kid. The teacher is great and I am delighted with this course!

S
Shubham8 June 2021

This guy is such an amazing teacher! The way he explains and breaks down concepts and is really easy to grasp and understand. This course really put me on the path to start enjoying doing math for fun Haha

## Coupons

DateDiscountStatus
7/14/2021100% OFFExpired

Udemy ID

## 5/17/2021

Course created date

## 6/13/2021

Course Indexed date
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