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Algebra

  • Complex Numbers
  • Quadratic Equations
  • Logarithm
  • Permutation
  • Combination
  • More on Complex Numbers
  • Classification of Numbers
  • Positive and Negative Quantities
  • Understanding Simple Algebraic Formulas With Examples
  • Integers
  • Linear Inequalities
  • An Introduction to Fundamental Algebra
  • Basic Number Properties – Commutative, Associative and Distributive
  • Algebraic Multiplication and Division
  • Simple Equations in One Variable
  • Simple Formulae and their Application
  • Rational and Irrational Numbers
  • Problems Leading to Simple Equations
  • Simultaneous Equations
  • Mathematical Induction
  • Different Type of Sets
  • Indices
  • Framing Formulas
  • Sequences

Arithmetic

  • Ratio and Proportion
  • Speed: Unit of Speed, Variable and Average Speed …
  • Unitary Method
  • Understanding Decimals
  • Fractions
  • Divisibility Rules
  • Elementary Estimation
  • Average
  • Mixture
  • Learning Basic Maths Using Excel – Add, Subtract, Multiply, Divide

Business Maths

  • Simple Interest and Compound Interest
  • Profit and Loss
  • Percentages
  • Value Added Tax (VAT)
  • Banking
  • Sales Tax (Trade tax)
  • Shares and Dividends
  • Bills of Exchange
  • Annuities
  • Average Due Date
  • Partnership Business

Calculus

  • Understanding the Concept of Limits
  • Understanding Functions

Geometry

  • Understanding Triangle and its Types
  • Understanding Angles and its Types
  • Introduction to Point, Ray, Line and Line-Segment
  • Understanding Sets

Matrices

  • Introduction to Matrices
  • Addition Of Matrices
  • Subtraction Of Matrix
  • Multiplication of Matrices
  • Determinant of Matrices
  • Co-factor of Matrices
  • Minor of Matrices
  • Transpose and Adjoint of Matrices
  • Inverse of a Matrix
  • System of Linear Equations in Matrices

Polynomials

  • Introduction to Polynomials
  • Classification of Polynomials
  • Addition and Subtraction of Polynomials
  • Multiplication of Polynomials
  • Factoring Polynomials
  • Zeroes of Polynomial
  • Remainder Theorem of Polynomials
  • Factor Theorem of Polynomial
  • Simplifying Polynomial Fractions
  • Roots of a Polynomial
  • Addition of Polynomial Fractions
  • Subtraction of Polynomial Fractions
  • Multiplying polynomial fractions
  • Division of Polynomial Fractions

QnA

  • For theta Belonging to 0, 4Pi the linear equations with no solutions
  • The total number of functions, f: {1, 2, 3, 4} → {1, 2, 3, 4, 5, 6} such that f(1) + f(2) = f(3), is equal to
  • α^2021 + β^2021 + γ^2021 + δ^2021 for x^4 + x^3 + x^2 + x + 1 = 0
  • Number of elements where n belongs to N and Sn Intersection Tn is phi
  • Lim n →∞, sqrt(n2-n-1)+nα+β=0 then 8(α+β)
  • Absolute maximum value of the function (x^2 – 2x + 7)e^(4x^3 – 12x^2 – 180x + 31)
  • General Solution of differential equation (x – y^2)dx +y(5x + y^2)dy
  • Line with slope greater than 1 passes A(4, 3) and intersects x–y=2 at B
  • Mean and Variance of a binomial distribution are 24 and 128
  • The slope of the tangent to a curve C: y = y(x) at any point (x, y)

Statistics

  • An Introduction to Elementary Probability
  • An Introduction to Frequency Distribution
  • Frequency Distribution of Discrete and Continuous Variables
  • Cumulative Frequency Distribution
  • What Is An Arithmetic Mean – The Measures of Central Tendency
  • Understanding Median – Measures of Central Tendency
  • Median for Frequency Type Data
  • Median for Discrete and Continuous Frequency Type Data (grouped data)
  • Measures of Central tendency: Mode

Trigonometry

  • Trigonometric Solutions of a Triangle Examples
  • Basic Trigonometric Ratios With Application to Triangles
  • Understanding Trigonometric Ratios of Angles in Each Quadrant
  • Introduction to Trigonometry, Angles and Their Measurement
  • Trigonometric Functions of Angles

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