Section 1 : Algebra Introduction
Lecture 1 Beginning of Algebra 00:00:51 Duration
Lecture 2 Where did the word 'Algebra' come from 00:02:16 Duration
Lecture 3 What is 'Algebra' 00:04:23 Duration
Lecture 4 'Arithmetic' vs 'Algebra' 00:04:38 Duration
Lecture 5 Who is an 'Algebraist' 00:00:55 Duration
Lecture 6 Indian name for 'Algebra' 00:01:59 Duration
Lecture 7 Usages of Algebra 00:03:40 Duration

Section 2 : Algebra Constants and Variables
Lecture 1 Introduction 00:00:27 Duration
Lecture 2 Two types of numbers in Algebra 00:01:00 Duration
Lecture 3 What is a 'Constant' 00:01:59 Duration
Lecture 4 What is a 'Variable' 00:04:12 Duration
Lecture 5 What is a 'Literal' 00:01:19 Duration
Lecture 6 'Constant' vs 'Variable' 00:02:34 Duration
Lecture 7 Constants with 'unknown' values 00:03:41 Duration
Lecture 8 Fundamental operations on variables 00:02:17 Duration
Lecture 9 Why can we perform operations on variables 00:05:14 Duration
Lecture 10 Shorter way to write product of variables 00:10:51 Duration
Lecture 11 Repeated multiplication (or Exponentiation) of variables 00:08:05 Duration
Lecture 12 A variable to the power zero (0) 00:02:17 Duration
Lecture 13 Repeated addition (or Multiplication) of variables 00:04:36 Duration
Lecture 14 Properties of operations on variables 00:07:02 Duration

Section 3 : Algebra Algebraic Expressions
Lecture 1 Algebraic expression - Introduction 00:00:23 Duration
Lecture 2 What is an 'Algebraic expression' 00:07:52 Duration
Lecture 3 'Arithmetic expression' vs Algebraic expression' 00:03:18 Duration
Lecture 4 What are 'terms' 00:07:09 Duration
Lecture 5 How to identify 'terms' in an algebraic expression 00:02:52 Duration
Lecture 6 'Constant term' in an algebraic expression 00:03:55 Duration
Lecture 7 'Factors' of a term 00:05:34 Duration
Lecture 8 Tree diagram 00:02:13 Duration
Lecture 9 'Numerical factor' and 'Variable factor' 00:03:32 Duration
Lecture 10 What are 'Coefficients' 00:12:00 Duration
Lecture 11 'Numerical coefficient' and 'Literal coefficient' 00:08:41 Duration
Lecture 12 What are 'Like terms' 00:08:18 Duration
Lecture 13 What are 'Unlike terms' 00:03:08 Duration
Lecture 14 How to add or subtract 'terms' 00:05:17 Duration
Lecture 15 How to add or subtract 'like terms' 00:09:01 Duration
Lecture 16 How to add or subtract 'Unlike terms' 00:05:36 Duration
Lecture 17 How to add or subtract 'Algebraic expressions' 00:13:54 Duration
Lecture 18 How to multiply 'terms' 00:03:56 Duration
Lecture 19 How to multiply two 'algebraic expressions' 00:06:50 Duration
Lecture 20 Finding the value of an algebraic expression 00:06:37 Duration

Section 4 : Algebra Polynomials
Lecture 1 Polynomial - Introduction 00:00:38 Duration
Lecture 2 A variable to the power whole number 00:01:51 Duration
Lecture 3 (Constant) X (A variable to the power whole number) 00:07:09 Duration
Lecture 4 What is a 'Polynomial in 1 variable' 00:14:59 Duration
Lecture 5 What is a 'Constant polynomial' 00:03:05 Duration
Lecture 6 'Terms' of a polynomial 00:13:03 Duration
Lecture 7 'Coefficients' of terms of a polynomial 00:05:32 Duration
Lecture 8 'Degree' of a polynomial in 1 variable 00:12:07 Duration
Lecture 9 Summary of concepts 00:06:20 Duration
Lecture 10 Classification of polynomials 00:01:53 Duration
Lecture 11 What is a 'Linear polynomial' 00:10:25 Duration
Lecture 12 What is a 'Quadratic polynomial' 00:09:33 Duration
Lecture 13 What is a 'Cubic polynomial' 00:09:08 Duration
Lecture 14 'Constant polynomial' - Revisited 00:04:59 Duration
Lecture 15 Summary of polynomials based on 'degree' 00:07:52 Duration
Lecture 16 Degree table of polynomials 00:06:21 Duration
Lecture 17 Classifying polynomials on 'Number of terms' 00:06:25 Duration
Lecture 18 Polynomials in more than 1 variable 00:07:04 Duration

Section 5 : Algebra Linear equation in 1 variable
Lecture 1 What are 'variables' and 'constants' 00:08:20 Duration
Lecture 2 What is an 'Expression' 00:05:39 Duration
Lecture 3 Problem session - variables, constants and expressions 00:01:29 Duration
Lecture 4 What is an 'Equation' 00:10:14 Duration
Lecture 5 Parts of an equation 00:18:24 Duration
Lecture 6 What is 'Equation in 1 variable' 00:08:45 Duration
Lecture 7 Problem session - On identifying equation in 1 variable 00:03:58 Duration
Lecture 8 Problem session - On identifying equation in 1 variable 00:03:17 Duration
Lecture 9 What is 'Linear equation in 1 variable' 00:07:58 Duration
Lecture 10 Problem session - Identifying 'Linear equation in 1 variable' 00:06:29 Duration
Lecture 11 'Solution' or 'root' of an equation - Part 1 00:08:23 Duration
Lecture 12 'Solution' or 'root' of an equation - part 2 00:11:19 Duration
Lecture 13 'Solution' or 'root' of an equation - part 3 00:00:47 Duration
Lecture 14 Number of roots of an equation 00:08:40 Duration
Lecture 15 Plotting the roots of an equation 00:02:47 Duration
Lecture 16 'Solution' or 'root' of a L 00:09:09 Duration
Lecture 17 Why is a Linear equation called 'Linear' 00:02:11 Duration
Lecture 18 Problem session - Understanding the meaning of solution 00:04:34 Duration
Lecture 19 Problem session - Understanding the meaning of solution 00:03:22 Duration
Lecture 20 Problem session - Understanding the meaning of solution 00:06:36 Duration
Lecture 21 What is 'Solving a L 00:01:42 Duration
Lecture 22 Two methods of solving LE1V 00:01:20 Duration
Lecture 23 Trial and Error method of solving L 00:09:31 Duration
Lecture 24 Problem session - Trial and Error method 00:09:37 Duration
Lecture 25 Problem session - Trial and Error method 00:09:04 Duration
Lecture 26 Demerits of Trial and Error method 00:02:07 Duration
Lecture 27 An equation as a weighing balance 00:04:29 Duration
Lecture 28 Properties of a balanced equation 00:13:11 Duration
Lecture 29 Gist of properties of balanced equation 00:06:59 Duration
Lecture 30 Systematic method of solving L 00:09:05 Duration
Lecture 31 Problem session - Systematic method - Part 1 00:11:11 Duration
Lecture 32 What is 'Transposition' 00:07:26 Duration
Lecture 33 Problem session - Systematic method - Part 2 00:07:19 Duration
Lecture 34 Problem session - Systematic method - Part 3 00:10:01 Duration
Lecture 35 Problem session - Systematic method - Part 4 00:09:02 Duration
Lecture 36 Problem session - Systematic method - Part 5 00:06:47 Duration
Lecture 37 Problem session - Systematic method - Part 6 00:10:15 Duration
Lecture 38 Problem session - Systematic method - Part 7 00:13:59 Duration
Lecture 39 Setting up an equation 00:04:49 Duration
Lecture 40 Problem session - Converting statements to equations 00:05:05 Duration
Lecture 41 Problem session - Setting up equations 00:07:11 Duration
Lecture 42 Problem session - Word problems 00:20:25 Duration
Lecture 43 Problem session - Word problems 00:18:09 Duration
Lecture 44 Problem session - Word problems 00:10:58 Duration
Lecture 45 Checking the solution 00:06:52 Duration
Lecture 46 Problem session - Checking the solution 00:06:53 Duration
Lecture 47 Plotting the solution of LE1V 00:02:58 Duration
Lecture 48 Problem session - Plotting solution of LE1V 00:07:44 Duration
Lecture 49 Standard form of a LE1V 00:06:55 Duration
Lecture 50 Problem session - Writing LE1V in standard form 00:06:03 Duration
Lecture 51 Problem session - Overall chapter in one session 00:11:47 Duration
Lecture 52 Revision of the chapter - Part 1 00:08:50 Duration
Lecture 53 Revision of the chapter - Part 2 00:04:26 Duration
Lecture 54 Revision of the chapter - Part 3 00:21:36 Duration
Lecture 55 Revision of the chapter - Part 4 00:06:24 Duration
Lecture 56 Revision of the chapter - Part 5 00:12:24 Duration
Lecture 57 Revision of the chapter - Part 6 00:13:00 Duration
Lecture 58 Revision of the chapter - Part 7 00:08:07 Duration

Section 6 : Plane Geometry Introduction
Lecture 1 Break up of the word 'Geometry' 00:06:01 Duration
Lecture 2 What is 'Geometry' 00:03:50 Duration
Lecture 3 How did Geometry evolve 00:07:06 Duration
Lecture 4 2 Types of Geometries 00:03:24 Duration
Lecture 5 Which Geometry will we study 00:02:12 Duration
Lecture 6 Geometry of the Universe 00:00:56 Duration
Lecture 7 Who is the 'Father of Geometry' 00:01:22 Duration
Lecture 8 Who gave the 'first known proof' 00:01:45 Duration
Lecture 9 Who is a 'Geometer' 00:00:54 Duration

Section 7 : Plane Geometry Meaning of 'Axioms' & 'Theorems'
Lecture 1 Two types of 'Statements' in Mathematics 00:01:38 Duration
Lecture 2 Axioms or Postulates 00:05:01 Duration
Lecture 3 Theorems or Propositions 00:03:06 Duration

Section 8 : Plane Geometry PLANE
Lecture 1 What is a 'Plane' 00:04:25 Duration

Section 9 : Plane Geometry POINT
Lecture 1 Definition of 'Point' 00:01:16 Duration
Lecture 2 Why is a 'Point' not defined in Geometry 00:07:28 Duration
Lecture 3 A Point is a 'Primitive Object' 00:02:50 Duration
Lecture 4 Characteristics of a Point 00:03:37 Duration
Lecture 5 How to represent a Point 00:04:55 Duration
Lecture 6 How to draw a Point on paper 00:01:55 Duration
Lecture 7 How to denote a Point 00:01:45 Duration
Lecture 8 Practical examples of a Point 00:01:42 Duration

Section 10 : Plane Geometry LINE SEGMENT
Lecture 1 Definition of a Line-segment 00:03:06 Duration
Lecture 2 Definition of a Line-segment from a Line 00:03:18 Duration
Lecture 3 Another word for Line-segment 00:00:58 Duration
Lecture 4 How to denote a Line-segment 00:02:13 Duration
Lecture 5 'Line-segment AB' vs 'Line-segment BA' 00:01:02 Duration
Lecture 6 The length of a Line-segment 00:05:32 Duration
Lecture 7 Characteristics of a Line-segment 00:03:41 Duration
Lecture 8 How to compare lengths of Line-segments 00:10:49 Duration
Lecture 9 Practical examples of Line-segments 00:03:58 Duration

Section 11 : Plane Geometry LINE
Lecture 1 Definition of 'Line' 00:00:54 Duration
Lecture 2 Why is a 'Line' not defined in Geometry 00:04:20 Duration
Lecture 3 Line is a 'Primitive Object' 00:01:42 Duration
Lecture 4 What is a 'Straight Line' 00:03:34 Duration
Lecture 5 Defining a line from a Line-segment
Lecture 6 Defining a Line from 'Intersecting planes' 00:01:48 Duration
Lecture 7 Complete picture of a Line cannot be drawn 00:01:43 Duration
Lecture 8 How to denote a Line 00:01:46 Duration
Lecture 9 'Line AB' vs 'Line BA' 00:00:43 Duration
Lecture 10 Characteristics of a Line 00:03:25 Duration
Lecture 11 How many Lines can be drawn passing through 1 given point 00:01:08 Duration
Lecture 12 How many Lines can be drawn passing through 2 given points 00:00:54 Duration
Lecture 13 Two points fix a line 00:01:53 Duration
Lecture 14 What are Collinear points 00:03:06 Duration
Lecture 15 What are Non-collinear points 00:01:36 Duration
Lecture 16 What are Concurrent lines 00:02:55 Duration
Lecture 17 Practical examples of lines 00:02:36 Duration

Section 12 : Plane Geometry RAY
Lecture 1 What is a 'Ray' 00:02:38 Duration
Lecture 2 Definition of a 'Ray' from a 'Line' 00:02:19 Duration
Lecture 3 Definition of a 'Ray' from a 'Line-segment' 00:02:30 Duration
Lecture 4 About the complete picture of a Ray 00:01:20 Duration
Lecture 5 How to denote a Ray 00:01:20 Duration
Lecture 6 Starting point of a Ray AB 00:01:12 Duration
Lecture 7 'Ray AB' vs 'Ray BA' 00:02:28 Duration
Lecture 8 Number of rays that can be drawn from a 'Starting point' 00:01:36 Duration
Lecture 9 Ray from 2 given points 00:02:13 Duration
Lecture 10 Characteristics of a ray 00:03:05 Duration
Lecture 11 Practical examples of rays 00:02:32 Duration

Section 13 : Plane Geometry 'LINE' vs 'LINE SEGMENT' vs 'RAY'
Lecture 1 'Line' vs 'Line segment' vs 'Ray' 00:08:11 Duration

Section 14 : Plane Geometry ANGLE
Lecture 1 Origin of the word 'Angle' 00:02:06 Duration
Lecture 2 What is an 'Angle' 00:08:51 Duration
Lecture 3 Symbol for Angle 00:00:52 Duration
Lecture 4 How to denote an angle 00:08:49 Duration
Lecture 5 What is the 'Measure of an angle' 00:02:21 Duration
Lecture 6 How to denote the 'Measure of an angle' 00:04:36 Duration
Lecture 7 What is 'One Complete Revolution' 00:03:38 Duration
Lecture 8 What is 'Complete angle' or 'Full angle' 00:02:06 Duration
Lecture 9 What is 'Straight angle' 00:02:37 Duration
Lecture 10 What is 'Right angle' 00:05:23 Duration
Lecture 11 'Three-fourth' of a revolution has no special name 00:04:37 Duration
Lecture 12 Relation among a 'Complete angle', a 'Straight angle' and a 'Right angle' 00:04:45 Duration
Lecture 13 Comparison among a 'Complete angle', a 'Straight angle' and a 'Right angle' 00:01:41 Duration
Lecture 14 Systems of measuring angle 00:01:42 Duration
Lecture 15 Centesimal system (French system) 00:08:06 Duration
Lecture 16 Sexagesimal system (English system) 00:11:02 Duration
Lecture 17 Circular system 00:02:49 Duration
Lecture 18 Degree measurement of a complete angle, a straight angle and a right angle 00:04:45 Duration
Lecture 19 Types of angles 00:13:21 Duration
Lecture 20 Examples of 7 types of angles 00:04:52 Duration
Lecture 21 Comparison among 7 types of angles 00:02:44 Duration
Lecture 22 Automatic formation of Reflex angle 00:02:23 Duration
Lecture 23 Distinction between an angle and its reflex counterpart 00:03:09 Duration
Lecture 24 Two important results 00:09:35 Duration
Lecture 25 How to compare angles 00:09:53 Duration
Lecture 26 Instrument to measure an angle 00:03:09 Duration
Lecture 27 An angle leads to 3 divisions of a region 00:09:12 Duration
Lecture 28 Practical examples of angles 00:02:58 Duration

Section 15 : Plane Geometry Pairs of Angles
Lecture 1 Pairs of Angles 00:01:51 Duration
Lecture 2 Complementary angles 00:07:40 Duration
Lecture 3 Supplementary angles 00:07:38 Duration
Lecture 4 Adjacent angles 00:10:53 Duration
Lecture 5 Linear pair of angles 00:03:16 Duration
Lecture 6 Linear Pair Axiom 00:06:22 Duration
Lecture 7 Vertically opposite angles 00:02:58 Duration
Lecture 8 Theorem concerning 'Vertically opposite angles' 00:06:38 Duration
Lecture 9 'Linear pair axiom' vs 'Vertically opposite angles theorem' 00:03:34 Duration

Section 16 : Plane Geometry Pairs of Lines
Lecture 1 Pairs of Lines - Introduction 00:01:09 Duration
Lecture 2 Parallel Lines 00:06:17 Duration
Lecture 3 Intersecting Lines 00:04:14 Duration
Lecture 4 Perpendicular Lines 00:09:46 Duration
Lecture 5 'Perpendicular bisector' of a line segment 00:11:01 Duration
Lecture 6 What are 'Transversals' 00:07:47 Duration
Lecture 7 Angles made by a transversal 00:04:31 Duration
Lecture 8 'Exterior Angles' made by a transversal 00:02:50 Duration
Lecture 9 'Interior Angles' made by a transversal 00:02:35 Duration
Lecture 10 Pairs of exterior angles on same side of transversal 00:02:49 Duration
Lecture 11 Pairs of interior angles on same side of transversal 00:03:06 Duration
Lecture 12 Pairs of corresponding angles formed by a transversal 00:06:36 Duration
Lecture 13 Pairs of Alternate interior angles formed by a transversal 00:05:02 Duration
Lecture 14 Pairs of Alternate exterior angles formed by a transversal 00:02:37 Duration
Lecture 15 Revision of all types of angles formed by transversal 00:07:52 Duration

Section 17 : Plane Geometry Parallel lines & a Transversal
Lecture 1 Parallel lines and a transversal - Introduction 00:05:19 Duration
Lecture 2 Corresponding angles axiom 00:06:25 Duration
Lecture 3 Alternate angle theorem 00:04:49 Duration
Lecture 4 Proof of 'Alternate angle theorem' 00:04:58 Duration
Lecture 5 Theorem regarding interior angles on same side of transversal 00:04:00 Duration
Lecture 6 Proof of theorem regarding interior angles on same side of transversal 00:04:22 Duration
Lecture 7 Most important result (for competitions) 00:06:23 Duration

Section 18 : Plane Geometry CURVE
Lecture 1 What is a 'Curve' 00:06:59 Duration
Lecture 2 Two types of curves 00:00:37 Duration
Lecture 3 What is 'Open curve' 00:01:47 Duration
Lecture 4 What is 'Closed curve' 00:03:04 Duration
Lecture 5 What is 'Simple curve' 00:02:02 Duration
Lecture 6 What is 'Simple Closed Curve' 00:03:36 Duration
Lecture 7 A 'Simple Closed Curve' leads to 3 divisions of a region 00:12:39 Duration

Section 19 : Plane Geometry POLYGON
Lecture 1 What is a 'Polygon' 00:06:55 Duration
Lecture 2 What are 'Sides' or 'Edges' of a polygon 00:03:00 Duration
Lecture 3 What are 'Vertices' or 'Corners' of a polygon 00:03:31 Duration
Lecture 4 What are 'Adjacent sides' of a polygon 00:02:20 Duration
Lecture 5 What are 'Adjacent vertices' of a polygon 00:02:27 Duration
Lecture 6 What is 'Diagonal' of a polygon 00:08:41 Duration
Lecture 7 A polygon leads to 3 divisions of a region 00:04:16 Duration
Lecture 8 Angles in a polygon 00:16:23 Duration
Lecture 9 What are 'Adjacent angles' in a polygon 00:03:01 Duration
Lecture 10 Quick recapitulation 00:10:26 Duration
Lecture 11 Types of Polygons 00:00:42 Duration
Lecture 12 What is 'Convex polygon' 00:11:26 Duration
Lecture 13 What is 'Concave polygon' 00:10:57 Duration
Lecture 14 Names of some polygons 00:09:17 Duration
Lecture 15 Types of Convex polygon 00:00:52 Duration
Lecture 16 What is 'Regular polygon' 00:07:32 Duration
Lecture 17 What is 'Irregular polygon' 00:01:21 Duration

Section 20 : Plane Geometry TRIANGLE
Lecture 1 What is a 'Triangle' 00:09:14 Duration
Lecture 2 How to denote a triangle 00:03:16 Duration
Lecture 3 'Interior', 'On' and 'Exterior' of a triangle 00:06:08 Duration
Lecture 4 'Sides' of a Triangle 00:02:14 Duration
Lecture 5 'Vertices' of a Triangle 00:02:08 Duration
Lecture 6 'Adjacent sides' of a Triangle 00:02:33 Duration
Lecture 7 'Adjacent vertices' of a Triangle 00:02:24 Duration
Lecture 8 Sides opposite to vertices 00:03:28 Duration
Lecture 9 Vertices opposite to sides 00:03:02 Duration
Lecture 10 Interior angles of a triangle 00:02:40 Duration
Lecture 11 Exterior angles of a triangle 00:05:29 Duration
Lecture 12 'Diagonals' of a triangle 00:01:15 Duration
Lecture 13 Elements in a triangle 00:06:38 Duration
Lecture 14 'Angle sum property' of a triangle 00:16:24 Duration
Lecture 15 'Exterior angle property' of a triangle 00:08:57 Duration
Lecture 16 Types of triangles 00:02:48 Duration
Lecture 17 Types of triangles based on 'sides'
Lecture 18 Types of triangles based on 'angles' 00:10:50 Duration
Lecture 19 Inequalities in a triangle - Introduction 00:01:56 Duration
Lecture 20 Inequalities in a triangle - The 1st inequality 00:15:40 Duration
Lecture 21 Inequalities in a triangle - The 2nd inequality 00:15:05 Duration
Lecture 22 Inequalities in a triangle - 1st and 2nd inequalities 00:03:26 Duration
Lecture 23 Inequalities in a triangle - The 3rd inequality 00:04:24 Duration
Lecture 24 Inequalities in a triangle - The 4th inequality 00:05:48 Duration
Lecture 25 Bound on a side of a triangle 00:05:50 Duration
Lecture 26 Special lines and special line-segments in a triangle 00:02:31 Duration
Lecture 27 'Medians' in a triangle 00:15:49 Duration
Lecture 28 'Centroid' or 'Gravity centre' of a triangle 00:05:46 Duration
Lecture 29 'Altitudes' in a triangle 00:18:49 Duration
Lecture 30 'Orthocenter' of a triangle 00:05:52 Duration
Lecture 31 'Interior angle bisectors' in a triangle 00:16:18 Duration
Lecture 32 'Incentre' of a triangle 00:05:23 Duration
Lecture 33 'Side perpendicular bisectors' in a triangle 00:19:41 Duration
Lecture 34 'Circumcenter' of a triangle 00:08:16 Duration
Lecture 35 All 4 centres in a sample triangle 00:07:07 Duration
Lecture 36 Right-angled triangle 00:10:36 Duration
Lecture 37 Pythagoras theorem 00:02:51 Duration

Section 21 : Plane Geometry QUADRILATERAL
Lecture 1 What is a 'Quadrilateral' 00:02:42 Duration
Lecture 2 'Interior', 'On' and 'Exterior' of a quadrilateral 00:06:12 Duration
Lecture 3 'Sides' or 'Edges' of a Quadrilateral 00:01:53 Duration
Lecture 4 'Vertices' or 'Corners' of a Quadrilateral 00:01:39 Duration
Lecture 5 'Adjacent sides' of a Quadrilateral 00:02:10 Duration
Lecture 6 'Adjacent vertices' of a Quadrilateral 00:01:45 Duration
Lecture 7 'Opposite sides' of a Quadrilateral 00:02:50 Duration
Lecture 8 'Opposite vertices' of a Quadrilateral 00:02:17 Duration
Lecture 9 'Interior angles' of a Quadrilateral 00:02:22 Duration
Lecture 10 'Exterior angles' of a Quadrilateral 00:03:47 Duration
Lecture 11 'Adjacent interior angles' of a Quadrilateral 00:02:32 Duration
Lecture 12 'Opposite interior angles' of a Quadrilateral 00:03:30 Duration
Lecture 13 'Diagonals' of a Quadrilateral 00:02:14 Duration
Lecture 14 Elements in a Quadrilateral 00:04:26 Duration
Lecture 15 Two types of quadrilaterals 00:10:09 Duration
Lecture 16 Angle sum property of a quadrilateral 00:10:44 Duration
Lecture 17 5 Types of quadrilaterals 00:00:54 Duration
Lecture 18 What is a 'Trapezium' 00:01:44 Duration
Lecture 19 What is a 'Parallelogram' 00:02:11 Duration
Lecture 20 What is a 'Rhombus' 00:02:29 Duration
Lecture 21 What is a 'Rectangle' 00:02:57 Duration
Lecture 22 What is a 'Square' 00:03:29 Duration
Lecture 23 'Family tree' of quadrilaterals 00:04:26 Duration

Section 22 : Plane Geometry Circle
Lecture 1 Introduction to Circle 00:03:43 Duration
Lecture 2 What is a 'Circle' 00:13:36 Duration
Lecture 3 A circle is a 'Simple closed curve' 00:02:37 Duration
Lecture 4 A circle leads to 3 divisions of a region 00:06:03 Duration
Lecture 5 What is 'Centre' of a circle 00:04:07 Duration
Lecture 6 What is 'Radius' of a circle 00:05:08 Duration
Lecture 7 Distance of a point from the centre of a circle 00:06:24 Duration
Lecture 8 What is 'Chord' of a circle 00:05:25 Duration
Lecture 9 What is 'Diameter' of a circle 00:06:22 Duration
Lecture 10 What is 'Arc' of a circle 00:10:18 Duration
Lecture 11 What is 'Circumference' of a circle 00:03:23 Duration
Lecture 12 What is 'Semi-circle' 00:03:42 Duration
Lecture 13 'Chord associated with an arc' and vice-versa 00:02:15 Duration
Lecture 14 What is 'Sector' 00:08:49 Duration
Lecture 15 Two types of quadrilaterals 00:10:09 Duration
Lecture 16 Differences in diagrams of 'Arc', 'Segment' and 'Sector' 00:03:32 Duration
Lecture 17 What is 'Semi-circular region' 00:03:08 Duration
Lecture 18 'Quadrant' of a circle 00:03:28 Duration
Lecture 19 Circles passing through 1 given point in a plane 00:02:22 Duration
Lecture 20 Circles passing through 2 given points in a plane 00:03:35 Duration
Lecture 21 Circle passing through 3 given points in a plane 00:10:39 Duration
Lecture 22 What are 'Concentric circles' and 'Annulus' 00:04:19 Duration
Lecture 23 What is a 'Cyclic quadrilateral' 00:02:18 Duration
Lecture 24 What is a 'Secant' 00:02:22 Duration
Lecture 25 'Chord associated with a secant' and vice-versa 00:03:00 Duration
Lecture 26 What is a 'Tangent' 00:15:29 Duration
Lecture 27 Number of tangents from a point to a circle 00:08:58 Duration
Lecture 28 Which Instrument is used to construct a circle 00:01:38 Duration

Section 23 : 3 Dimensional geometry
Lecture 1 What is a 1D shape 00:03:05 Duration
Lecture 2 What is a 2D shape 00:04:10 Duration
Lecture 3 What is a 3D shape
Lecture 4 Five 3D shapes that we will study 00:00:44 Duration
Lecture 5 What is a 'Cuboid' 00:07:23 Duration
Lecture 6 What is a 'Cube' 00:03:16 Duration
Lecture 7 What is a 'Cylinder' 00:03:49 Duration
Lecture 8 What is a 'Cone' 00:03:10 Duration
Lecture 9 What is a 'Sphere' 00:02:53 Duration
Lecture 10 Problem session - Mixed problems 00:03:37 Duration

Section 24 : Symmetry
Lecture 1 Two types of symmetries 00:00:51 Duration
Lecture 2 What is 'mirror image' of an object 00:02:14 Duration
Lecture 3 How to draw 'mirror images' - Introduction 00:00:56 Duration
Lecture 4 How to draw mirror image of a 'point' 00:04:44 Duration
Lecture 5 Problem session - Mirror image of a 'point' 00:04:36 Duration
Lecture 6 How to draw mirror image of a 'plane figure' 00:05:23 Duration
Lecture 7 Problem session - Mirror image of a 'plane figure' 00:05:01 Duration
Lecture 8 What is 'Linear symmetry' 00:03:59 Duration
Lecture 9 Test of 'Linear symmetry' 00:03:19 Duration
Lecture 10 Problem session - Line of symmetry 00:04:11 Duration
Lecture 11 Problem session - Line of symmetry 00:02:27 Duration
Lecture 12 Problem session - Line of symmetry 00:01:59 Duration
Lecture 13 Problem session - Line of symmetry 00:02:08 Duration
Lecture 14 Line of symmetries of some standard figures 00:11:08 Duration
Lecture 15 Problem session - Line of symmetry 00:01:42 Duration
Lecture 16 Problem session - Line of symmetry 00:06:22 Duration
Lecture 17 Problem session - Line of symmetry 00:04:12 Duration
Lecture 18 Line of symmetries of English alphabets 00:02:11 Duration
Lecture 19 Problem session - Symmetries of Alphabets 00:04:57 Duration

Section 25 : Geometrical constructions
Lecture 1 Introduction to 'Geometrical Constructions' 00:02:26 Duration
Lecture 2 Constructing a circle of given radius 00:01:56 Duration
Lecture 3 Previous construction on notebook 00:03:21 Duration
Lecture 4 Constructing a line segment of given length 00:02:57 Duration
Lecture 5 Previous construction on notebook 00:04:38 Duration
Lecture 6 Constructing a copy of a given line segment 00:01:51 Duration
Lecture 7 Previous construction on notebook 00:03:17 Duration
Lecture 8 Constructing the perpendicular bisector of a line segment 00:04:09 Duration
Lecture 9 Previous construction on notebook 00:08:56 Duration
Lecture 10 Constructing an equilateral triangle 00:01:46 Duration
Lecture 11 Previous construction on notebook 00:03:47 Duration
Lecture 12 Constructing a perpendicular to a line through a point on it 00:04:38 Duration
Lecture 13 Construction 7 on copy 00:09:32 Duration
Lecture 14 Constructing a perpendicular to a line through a point not on it 00:04:54 Duration
Lecture 15 Construction 8 on copy 00:07:21 Duration
Lecture 16 Constructing an angle using protractor 00:02:20 Duration
Lecture 17 Constructing an angle using protractor 00:02:53 Duration
Lecture 18 Constructing a copy of a given angle 00:02:53 Duration
Lecture 19 Constructing a copy of a given angle 00:04:44 Duration
Lecture 20 Constructing bisector of a given angle 00:03:00 Duration
Lecture 21 Constructing bisector of a given angle 00:04:11 Duration
Lecture 22 Constructing 60 deg, 120 deg, 180 deg and 90 deg 00:09:24 Duration
Lecture 23 Constructing 60 deg, 120 deg, 180 deg and 90 deg 00:06:30 Duration
Lecture 24 Constructing multiples of 15 degrees 00:09:50 Duration
Lecture 25 Constructing multiples of 15 degrees 00:11:56 Duration

Section 26 : Mensuration
Lecture 1 What is 'Mensuration' 00:03:36 Duration
Lecture 2 What is 'perimeter' 00:05:34 Duration
Lecture 3 Problem session - Finding perimeter 00:04:36 Duration
Lecture 4 Perimeter of some standard figures
Lecture 5 Problem session - Perimeter of rectangle 00:13:33 Duration
Lecture 6 Problem session - Perimeter or rectangle 00:10:19 Duration
Lecture 7 Problem session - Perimeter of square 00:11:57 Duration
Lecture 8 Problem session - Perimeter of miscellaneous shapes 00:09:11 Duration
Lecture 9 What is 'area' 00:02:39 Duration
Lecture 10 Area of rectangle and square 00:04:11 Duration
Lecture 11 Problem session - Rectangle and square 00:12:29 Duration
Lecture 12 Problem session - Square 00:12:33 Duration
Lecture 13 Problem session - Rectangle and square 00:11:59 Duration
Lecture 14 Problem session - Rectangle and square 00:09:54 Duration
Lecture 15 Circle - Circumference and area 00:07:42 Duration
Lecture 16 Problem session - Mensuration of circle 00:10:29 Duration
Lecture 17 Estimating area by counting squares 00:04:13 Duration
Lecture 18 Problem session - Estimating area by counting squares 00:02:57 Duration

Section 27 : Statistics
Lecture 1 What is 'Data' 00:04:24 Duration
Lecture 2 The word 'statistics' 00:02:06 Duration
Lecture 3 Meaning of the word 'statistics' as plural noun 00:01:44 Duration
Lecture 4 Meaning of the word 'Statistics' as singular noun 00:02:07 Duration
Lecture 5 Definition of 'Statistics' 00:02:01 Duration
Lecture 6 Stages of statistical study 00:03:01 Duration
Lecture 7 Stage 1 - Collection of data 00:07:05 Duration
Lecture 8 Stage 2 - Organisation of data 00:02:58 Duration
Lecture 9 What is 'Array' 00:05:45 Duration
Lecture 10 What is 'Frequency distribution table' 00:13:18 Duration
Lecture 11 Problem session - Tally Marks 00:01:25 Duration
Lecture 12 'Array' vs 'Frequency distribution table' 00:10:15 Duration
Lecture 13 Problem session - 'Array' and 'Frequency distribution table' 00:09:29 Duration
Lecture 14 Problem session - Interconverting 'Array' and 'Freq dist table' 00:02:24 Duration
Lecture 15 Problem session - 'Tally Marks' and 'Frequency' 00:01:13 Duration
Lecture 16 Problem session - Frequency distribution table
Lecture 17 Stage 3 - Presentation of data 00:02:33 Duration
Lecture 18 What is 'Pictograph' 00:09:39 Duration
Lecture 19 Problem session - Pictograph 00:01:15 Duration
Lecture 20 Problem session - Pictograph 00:06:10 Duration
Lecture 21 Problem session - Pictograph 00:11:47 Duration
Lecture 22 Demerits of 'Pictograph' 00:03:43 Duration
Lecture 23 What is 'Bar graph' 00:10:49 Duration
Lecture 24 Problem session - Bar graph 1 00:03:06 Duration
Lecture 25 Problem session - Bar graph 2 00:07:49 Duration
Lecture 26 Problem session - Bar graph 3 00:06:44 Duration
Lecture 27 Problem session - Bar graph 4 00:04:07 Duration
Lecture 28 Problem session - Bar graph 5 00:02:37 Duration
Lecture 29 Stages 4 and 5 - Analysis and interpretation of data 00:04:39 Duration
Lecture 30 What is 'Mean' 00:04:46 Duration
Lecture 31 How to calculate 'mean' 00:06:24 Duration
Lecture 32 What is 'Median' 00:18:27 Duration
Lecture 33 How to calculate 'median' 00:07:12 Duration
Lecture 34 What is 'Mode' 00:09:08 Duration
Lecture 35 How to calculate 'mode' 00:02:29 Duration
Lecture 36 What is 'Range' 00:03:08 Duration
Lecture 37 How to calculate 'range' 00:02:29 Duration
Lecture 38 Problem session - Mean, median, mode, range 00:06:23 Duration
Lecture 39 Problem session - Mean, median, mode, range 00:10:02 Duration
Lecture 40 Problem session - Mean, median, mode, range 00:06:11 Duration
Lecture 41 Problem session - Mean, median, mode, range 00:07:10 Duration
Lecture 42 Properties of mean, median and mode 00:04:47 Duration

Section 28 : Trigonometry Introduction
Lecture 1 Trigonometry - Introduction 00:00:52 Duration
Lecture 2 Division of the word 'Trigonometry' 00:02:11 Duration
Lecture 3 What is 'Trigonometry' 00:05:08 Duration
Lecture 4 What will we study in 'Trigonometry' 00:02:28 Duration

Section 29 : Trigonometry The required background
Lecture 1 The required background 00:00:40 Duration
Lecture 2 Basics of a right angled triangle 00:05:35 Duration
Lecture 3 How to identify 'sides' opposite to 'angles' in a triangle 00:06:44 Duration
Lecture 4 Problem session - Identifying 'sides' opposite to 'angles' 00:03:52 Duration
Lecture 5 How to identify 'hypotenuse' 00:03:22 Duration
Lecture 6 Problem session - Identifying the 'hypotenuse' 00:02:12 Duration
Lecture 7 Side adjacent to an acute angle in a right angled triangle 00:05:31 Duration
Lecture 8 Problem session - Mixed 00:04:06 Duration
Lecture 9 'Ratios of sides' in a right angled triangle 00:05:01 Duration
Lecture 10 Problem session - Writing all the 6 ratios of pairs of sides 00:06:34 Duration

Section 30 : Trigonometry Trigonometric ratios of acute angles
Lecture 1 Introduction to Trigonometric ratios 00:04:47 Duration
Lecture 2 Glimpse to Trigonometric ratios 00:05:36 Duration
Lecture 3 Definition of Trigonometric ratios 00:09:45 Duration
Lecture 4 How to find the 'sine' of an acute angle of a right triangle 00:02:57 Duration
Lecture 5 Problem session - Finding 'sine' 00:05:04 Duration
Lecture 6 How to find the 'cosine' of an acute angle of a right triangle 00:02:45 Duration
Lecture 7 Problem session - Finding 'cosine' 00:03:12 Duration
Lecture 8 How to find the 'tangent' of an acute angle of a right triangle 00:02:58 Duration
Lecture 9 Problem session - Finding 'tangent' 00:02:38 Duration
Lecture 10 How to find the 'cosecant', 'secant' and 'cotangent' 00:05:22 Duration
Lecture 11 Problem session - Finding 'cosecant', 'secant', 'cotangent' 00:07:16 Duration
Lecture 12 Problem session - Finding all trigonometric ratios 00:03:43 Duration
Lecture 13 Problem session - Finding all trigonometric ratios 00:02:47 Duration

Section 31 : Coordinate Geometry
Lecture 1 What is coordinate geometry 00:09:18 Duration
Lecture 2 Another name of coordinate geometry 00:01:22 Duration
Lecture 3 Problem session 00:01:10 Duration
Lecture 4 Who invented coordinate geometry 00:01:10 Duration
Lecture 5 What are 'Coordinate axes' 00:20:08 Duration
Lecture 6 What is 'x-axis' 00:08:11 Duration
Lecture 7 What is 'y-axis' 00:07:08 Duration
Lecture 8 Problem session - On coordinate axes 00:02:47 Duration
Lecture 9 What is 'Origin' 00:03:25 Duration
Lecture 10 What is 'coordinate plane' 00:08:14 Duration
Lecture 11 What are 'Quadrants' 00:08:14 Duration
Lecture 12 What is 'x-coordinate' or 'abscissa' of a point 00:16:45 Duration
Lecture 13 What is 'y-coordinate' or 'ordinate' of a point 00:12:57 Duration
Lecture 14 'Cartesian coordinates' of a point - Part 1 00:16:00 Duration
Lecture 15 'Cartesian coordinates' of a point - Part 2 00:17:14 Duration
Lecture 16 Summary of coordintates of a point 00:04:29 Duration
Lecture 17 Problem session - Writing and plotting coordinates 00:05:15 Duration
Lecture 18 Problem session - Writing Abscissa 00:03:39 Duration
Lecture 19 Problem session - Writing Ordinate 00:03:15 Duration
Lecture 20 Problem session - Writing coordinates 00:02:21 Duration
Lecture 21 Problem session - Origin 00:01:25 Duration
Lecture 22 Problem session - Finding distances from axes 00:03:12 Duration
Lecture 23 Problem session - x-axis and abscissa 00:03:15 Duration
Lecture 24 Problem session - y-axis and ordinate 00:02:30 Duration
Lecture 25 Problem session - Deciding quadrants 00:04:52 Duration
Lecture 26 Problem session - Deciding quadrants 00:10:55 Duration
Lecture 27 Most commonly used coordinate systems 00:02:18 Duration
Lecture 28 What is 'Cartesian coordinate system' 00:03:43 Duration
Lecture 29 Problem session - Reading coordinates from graph 00:02:17 Duration
Lecture 30 Problem session - Plotting coordinates in the coordinate plane 00:03:49 Duration
Lecture 31 Address of a 'point' on a 'line' 00:07:24 Duration
Lecture 32 Address of a 'point' in a 'plane' 00:10:39 Duration
Lecture 33 Problem session - A short problem 00:01:43 Duration

Section 32 : Introduction to Logarithm
Lecture 1 Who introduced Logarithm 00:02:53 Duration
Lecture 2 How to denote a Logarithm 00:02:12 Duration
Lecture 3 Problem session - Identifying valid logarithms 00:04:14 Duration
Lecture 4 How to read a Logarithm 00:01:49 Duration
Lecture 5 Problem session - Reading logarithms 00:04:04 Duration
Lecture 6 'Base' and 'Argument' of a Logarithm 00:02:15 Duration
Lecture 7 Problem session - Finding 'Base' and 'Argument' 00:03:22 Duration
Lecture 8 What is Logarithm 00:06:55 Duration
Lecture 9 How to evaluate a Logarithm 00:06:24 Duration
Lecture 10 d 00:07:19 Duration
Lecture 11 Logarithm is inverse of exponentiation 00:06:21 Duration
Lecture 12 What does a Logarithm find 00:03:05 Duration
Lecture 13 Problem session - converting exponents to logs 00:08:46 Duration
Lecture 14 Problem session - converting Logs to exponents 00:07:18 Duration
Lecture 15 Types of Logarithms 00:05:38 Duration
Lecture 16 Usages (Applications) of Logarithms 00:06:35 Duration
Lecture 17 Multiplication using Logarithm 00:04:22 Duration