Course Content
Whole Numbers and Counting
0/19
Lsn 01 – Counting from 1 to 100
Lsn 02 – Writing 10, 20, 30, 40, 50 in words
Lsn 03 – Writing 60, 70, 80, 90, 100 in words
Lsn 04 – Writing the Tens in words
Lsn 05 – 1-, 2- and 3-Digit Numbers
Lsn 06 – Writing 1, 2, 3, – 100 in words
Lsn 07 – Place Value of Digits in a Number
Lsn 08 – Negative Numbers
Lsn 09 – Counting 1 – 100
Lsn 10 – Counting up to 200
Lsn 11 – Counting up to 300
Lsn 12 – Counting up to 1,000
Lsn 13 – Place Value of Digits in a Number
Lsn 14 – Writing 1, 2, 3, – 1000 in words
Lsn 15 – Thousands
Lsn 16 – Tens of Thousands
Lsn 17 – Hundreds of Thousands
Lsn 18 – Millions and billions
Lsn 19 – Ranges of Numbers in Counting
Types of Numbers
0/8
Lsn 01 – Natural and Integer Numbers 618
Lsn 02 – Odd and Even Numbers
Lsn 03 – Prime numbers
Lsn 04 – Rational and Irrational numbers
Lsn 05 – Real numbers and Absolute Value
Lsn 06 – Imaginary numbers
Lsn 07 – Powers of i
Lsn 08 – Complex Numbers
Fractions
0/25
Lsn 01 – Meaning of Fraction
Lsn 02 – Naming Fractions
Lsn 03 – Numerator, Denominator and Recoprocal
Lsn 04 – Proper and Improper Fractions
Lsn 05 – Converting Improper Fractions to Mixed Numbers
Lsn 06 – Converting Mixed Numbers to Improper Fractions
Lsn 07 – Equivalent Fractions
Lsn 08 – Lowest Terms
Lsn 09 – Common Denominators
Lsn 10 – Comparing fractions by size
Lsn 11 – Arranging Fractions by Size
Lsn 12 – Adding and Subtracting Fractions
Lsn 13 – Multiplying Fractions
Lsn 14 – Dividing Fractions
Lsn 15 – Converting to Decimal
Lsn 16 – Recurring Decimal
Lsn 17 – Converting Decimal to Vulgar Fraction
Lsn 18 – Fraction of a Quantity
Lsn 19 – Finding the Quantity when a Fraction is known
Lsn 20 – What Fraction of a Qty is a given Value
Lsn 21 – Fraction that Remains after a Fraction is removed
Lsn 22 – Quantity that Remains after a Fraction is Removed
Lsn 23 – Quantity after a Rise or Fall by a known Fraction
Lsn 24 – Quantity before a Rise or Fall by a known Fraction
Lsn 25 – Fraction of a Fraction
Percentages
0/16
Lsn 01 – Meaning of Percent
Lsn 02 – Converting Percentage to Fraction
Lsn 03 – Converting Fraction to Percent
Lsn 04 – Converting Percent to Decimal
Lsn 05 – Converting Decimal to Percent
Lsn 06 – Percentage of a Quantity
Lsn 07 – What Percentage of a Qty is a given Value
Lsn 08 – What Remains when a Percentage of a Qty is removed
Lsn 09 – Percent of Percent of a Quantity
Lsn 10 – Value after a Percentage Rise or Fall
Lsn 11 – Value before a Percentage Rise or Fall
Lsn 12 – Finding the Percent Rise or Fall
Lsn 13 – Percentage Profit and Loss
Lsn 14 – Commission
Lsn 15 – Tax as a Percent of Earning
Lsn 16 – Tax according to a Tax Regime
Simple and Compound Interest
0/10
Lsn 01 – Investment and Interest
Lsn 02 – Simple Interest
Lsn 03 – Calculating Principal
Lsn 04 – Calculating Rate
Lsn 05 – Calculating Time
Lsn 06 – Total Investment Value
Lsn 07 – Investment Value in 1 year
Lsn 08 – Investment Value in 2 years with Reinvestment
Lsn 09 – Compound Interest Computation
Lsn 10 – Compound Interest Formula
Annuity
0/5
Lsn 01 – Annuity
Lsn 02 – Total Annuity Computations
Lsn 03 – Calculating periodic payments
Lsn 04 – Debt Payment Schedule
Lsn 05 – Calculating Yearly Payment to Amortize a Debt
Introduction to Algebra
0/13
Lsn 01 – Variables and Constants
Lsn 02 – Variables in Arithmetic Expressions
Lsn 03 – Adding and subtracting Variables
Lsn 04 – Multiplying Variables
Lsn 05 – Multiplying and Dividing Variables
Lsn 06 – Like Terms
Lsn 07 – Collecting Like Terms
Lsn 08 – Substitution
Lsn 09 – Binomials and Simple Expansions
Lsn 10 – Multiplying two Binomials
Lsn 11 – Square of a Binomial
Lsn 12 – Factorisation
Lsn 13 – Factorising Quadratic Expressions
Indices and Logarithms
0/15
Lsn 01 – Raising Numbers to Higher Powers
Lsn 02 – Square-roots and Cube-roots
Lsn 03 – Roots of Numbers
Lsn 04 – Multiplying and Dividing Numbers in Index Form
Lsn 05 – Multiplying and Dividing Index Forms in the same Expres
Lsn 06 – Index Forms raised to a Power
Lsn 07 – When Bases are not the same
Lsn 08 – First and Second Laws of Indices
Lsn 09 – Third and Fourth Laws of Indices
Lsn 10 – Logarithm of a Number to a given Base
Lsn 11 – Fractional Logarithm
Lsn 12 – Common and Natural Logarithms
Lsn 13 – Squares and Cubes of numbers
Lsn 14 – First and Second Laws of logarithms
Lsn 15 – Third and Fourth Laws of logarithms
Equations and Inequalities
0/14
Lsn 01 – Equations and their Solutions
Lsn 02 – Forming Equations from Word Problems
Lsn 03 – Simple Linear Equations in one Unknown Variable
Lsn 04 – Linear Equations with x in the Denominator
Lsn 05 – Simultaneous Linear Equations
Lsn 06 – Substitution Method
Lsn 07 – Quadratic Equations
Lsn 08 – Quadratic Equations with Fractonal Roots
Lsn 09 – Completing the Square Method
Lsn 10 – The Quadratic Equation Formula
Lsn 11 – Relational Signs and Line Graphs
Lsn 12 – When a variable lies between two values
Lsn 13 – Simple Linear Inequalities
Lsn 14 – Quadratic Inequalities
Vectors
0/8
Lsn 01 – What is a Vector
Lsn 02 – Addition and Subtraction of Vectors
Lsn 03 – Multiplying a Vector by a Scalar
Lsn 04 – Scalar Product of Two Vectors
Lsn 05 – Magnitude of a Vector
Lsn 06 – Direction of a Vector
Lsn 07 – Unit Vectors
Lsn 08 – Angle between two Vectors
Matrices
0/19
Lsn 01 – What is a Matrix
Lsn 02 – Matrix Addition and Subtraction
Lsn 03 – Multiplying a Matrix by a Scalar
Lsn 04 – Multiplying Two Matrices
Lsn 05 – Multiplying a Matrix and a Vector
Lsn 06 – Matrix Form of System of Linear Equations
Lsn 07 – Transpose of a Matrix and Symmetric Matrix
Lsn 08 – Determinant of a 2 by 2 Matrix
Lsn 09 – Matrix of Minors
Lsn 10 – Determinant of 3 by 3 Matrices
Lsn 11 – Adjoint Matrix
Lsn 12 – Inverse of 2 by 2 Matrix
Lsn 13 – Inverse of 3 by 3 Matrix
Lsn 14 – Solving a System – Crammers Rule
Lsn 15 – Augmented Matrix
Lsn 16 – Row Operations
Lsn 17 – More Row Operations
Lsn 18 – Echelon Form
Lsn 19 – Gaussian Elimination Method
Sets
0/13
Set 01 – What is a Set
Set 02 – Types of Sets
Set 03 – Describing a Set by Listing
Set 04 – Describing a Set by Set Builder Notation
Set 05 – Relationship between Sets and Venn Diagram
Set 06 – Union and Intersection Operations
Set 07 – Complement Operation
Set 08 – Cartesian Product
Set 09 – Family of Sets and Set Partitions
Set 10 – Cardinal Number of a Set
Set 11 – Relations
Set 12 – Types of Relations
Set 13 – Ralation, Cartesian Product and Mapping
Functions and Limits
0/16
Lsn 01 – Variables and Constants
Lsn 02 – Variables in Arithmetic Expressions
Lsn 03 – Functions, Relationship between Variables
Lsn 04 – Graph of a Function
Lsn 05 – Functions of More than One Variable
Lsn 06 – Types of Functions
Lsn 07 – Polynomial Functions
Lsn 08 – Exponential and Logarithmic Functions
Lsn 09 – Trigonometric Functions
Lsn 10 – Derived Functions
Lsn 11 – Existence of a Function at a Point
Lsn 12 – Existence of a Quotient Function at a Point
Lsn 13 – Existence a Function that involves Square-root 2
Lsn 14 – Limiting Value of a Function at a Point
Lsn 15 – The Reciprocal Function
Lsn 16 – Evaluating Limits
Differentiation
0/19
Lsn 01 – Change in Value of a Variable
Lsn 02 – Corresponding Change in Value of a Function
Lsn 03 – Average Rate of Change of a Function
Lsn 04 – Instantaneous Rate of Change of a Function
Lsn 05 – Differentiating from First Principles
Lsn 06 – Differentiation Formula
Lsn 07 – Derivation of Differentiation Formula
Lsn 08 – Differentiating y=axn
Lsn 09 – Differentiating Exp and Log Functions Mudium
Lsn 10 – Differentiating Exp Function from 1st Principles
Lsn 11 – Differentiating Log Function from 1st Principles
Lsn 12 – Differentiating Trigonometric Functions
Lsn 13 – Differentiating sin x from 1st Principles
Lsn 14 – Differentiating cos x from 1st Principles
Lsn 16 – Sum Rule
Lsn 17 – Proof of Sum Rule
Lsn 18 – Product Rule
Lsn 19 – Proof of Product Rule
Lsn 20 – Quotient Rule
Business Mathematics
Overview
Exercise Files
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