Further Mathematics is an aspect of Mathematics trying to introduce the Secondary school/High School learners to Engineering Mathematics

Over the years, students have left High school with the knowledge of General Mathematics and had difficulties with Engineering Mathematics in College (University), so further mathematics is to help us raise competent Engineers even from their High school.

 

 

Course Curriculum

Surds
Rules of Surds 00:00:00
Conjugate Surds 00:00:00
Rationalization 00:00:00
Equality of Surds 00:00:00
Quiz – Surds 00:00:00
Binary Operations
Rule of Combination 00:00:00
Closure Property, Commutative Property, Associative, Distributive Property 00:00:00
The Identity Element 00:00:00
The Inverse Element 00:00:00
Quiz – Binary Operations 00:00:00
Mapping And Functions
Function 00:00:00
One-one Mapping, Onto-Mapping 00:00:00
Graphical Representation of Mappings 00:00:00
Inverse Functions 00:00:00
Quiz – Mapping and Functions 00:00:00
Assignment – Mapping and Functions 00:00
Measures of Central Tendency/Dispersion
Mean, Median, Mode 00:00:00
Measures of Dispersion 00:00:00
Quiz – Measures of Central Tendency/Dispersion 00:00:00
Assignment – Measures of Central Tendency/Dispersion 00:00
Polynomials
Addition, Subtraction and Multiplication of Polynomials 00:00:00
Division of Polynomials 00:00:00
Zeros of Polynomials 00:00:00
The Remainder’s Theorem 00:00:00
Quiz – Polynomials 00:00:00
Assignment – Polynomials 00:00
Permutation And Combination
Cyclic Permutation 00:00:00
Permutation Involving Indistinguishable Elements 00:00:00
Conditional Permutation 00:00:00
Combination 00:00:00
Quiz – Permutation and Combination 00:00:00
Assignment – Permutation and Combination 00:00
The Binomial Theorem
Pascal’s Triangle 00:00:00
Then Binomial Expansion Formula 00:00:00
Quiz – Binomial Theorem 00:00:00
Assignment – Binomial Theorem 00:00
Differential Calculus I
Limiting Value of a Function 00:00:00
The Gradient Function 00:00:00
The Derivative of a Function 00:00:00
First Principle 00:00:00
The Derivative of Sum 00:00:00
Quiz – Differential Calculus I 00:00:00
Assignment – Differential Calculus I 00:00
Differential Calculus II
Function of a Function 00:00:00
The Derivative of a Product (Product Rule) 00:00:00
The Derivative of a Quotient (Quotient Rule) 00:00:00
Implicit Differentiation 00:00:00
Derivative of Trigonometric Function 00:00:00
Quiz – Differential Calculus II 00:00:00
Assignment – Differential Calculus II 00:00
The Circle (Conic Section)
The Circle Definition 00:00:00
Equation of the Tangent of a point (x,y) 00:00:00
Parametric Equations of a Circle 00:00:00
Matrices
Addition and Subtraction of Matrices 00:00:00
Multiplication of Matrices ( Scalar, Dot) 00:00:00
Determinants of a Matrix (2×2, 3×3) 00:00:00
Simultaneous Equations involving Matrices 00:00:00
The Adjoint Matrix 00:00:00
The Inverse of a Square Matrix 00:00:00
Quiz – Matrices 00:00:00
Assignment – Matrices 00:00
Partial Fraction
Partial and Compound Fractions 00:00:00
Types of Partial Fractions 00:00:00
Non-repeated Linear Factors at the Denominator 00:00:00
Other Non-repeated factors at the Denominators 00:00:00
Quiz – Partial Fractions 00:00:00
Assignment – Partials Fractions 00:00
Integration
Standard Integral Forms 00:00:00
The Integral f(ax + b)dx 00:00:00
The Integral ((f'(x)/f(x))dx 00:00:00
Integration by Algebraic Substitution 00:00:00
Quiz – Integration 00:00:00
Assignment – Integration 00:00
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