arrow_back
Sets and Operations on Them
L1.1 INTRODUCTION TO SETS
L1.2 DESCRIPTION OF SETS
L1.3 CLASSIFICATION OF SET
L1.4 SUBSETS
L1.4 VENN DIAGRAM
L1.5 VENN DIAGRAMS
L1.6 COMPLEMENTATION
L1.7 INTERSECTION PT1
L1.8 INTERSECTION OF SETS PT2
L1.9 UNION OF SETS PT1
L1.10 UNION OF SETS PT2
L1.11 CARTESIAN PRODUCT
L1.12 LAWS ON OPERATIONS
L1.13 DE MORGAN'S LAW
Functions
L2.1 RELATION
L2.2 FUNCTIONS
L2.3 SOME IMPORTANT FUNCTIONS
L2.4 COMPOSITION OF FUNCTIONS
L2.5 INVERSE OF FUNCTIONS
2D Coordinate Systems
L3.1 CARTESIAN COORDINATE SYSTEM
L3.2 EQUATIONS OF LINE 1
L3.3 EQUATIONS OF LINE 2
L3.4 GRAPH OF FUNCTIONS
L3.5 POLAR COORDINATE SYSTEM
Complex Numbers
L4.1 INTRO TO COMPLEX NUMBERS
L4.2 REPRESENTATION OF COM[LEX NUMEBRS
L4.3 ALGEBRA OF COMPLEX NUMBERS
L4.4 PRODUCT OF COMPLEX NUMBERS
Polynomial Equations and Their Solutions
L5.1 QUADRATIC EQUATIONS 1
L5.2 QUADRATIC EQUATIONS 2
L5.3 POLYNOMIAL EQUATIONS 1
L5.4 POLYNOMIAL EQUATIONS 2
L5.5 POLYNOMIAL EQUATIONS 3
L5.6 POLYNOMIAL EQUATIONS 4
Real numbers
L6.1 PROPERTIES OF REAL NUMBERS
L6.2 SUPREMUM AND INFIMUM
L6.3 SUPREMUM AND INFIMUM 2
L6.4 ABSOLUTE VALUE 1
L6.5 ABSOLUTE VALUE 3
L6.6 INTERVALS
L6.7 FUNCTIONS
L6.8 DOMAIN AND RANGE OF FUNCTIONS
L6.9 INVERSE OF F,EVEN AND ODD FUNCTIONS
Limit
L7.1 INTRODUCTION TO LIMITS
L7.2 INTRODUCTION LHL AND RHL
L7.3 EPSILON DELTA DEFINITION OF LIMIT(V.IMP)
L7.4 limit at infinity
L7.5 SOME THEOREMS
L7.6 PREVIOUS YEAR SOLUTIONS LIMIT 1
L7.7 LIMIT OF TRIGNOMETRIC FUNCTIONS
L7.8 LIMIT OF EXPONENTIAL FUNCTIONS
L7.9 LIMIT OF LOGARITHMIC FUNCTION
Continuity
L8.1 INTRODUCTION TO CONTINUITY
L8.2 PROBLEMS OF CONTINUITY
L8.3 CONTINUITY ON INTERVAL
L8.4 CONTINUITY OF TRIG FUNCTIONS
L8.5 ALGEBRA OF CONTINOUS FUNCTION
L8.6 INTERMIDIATE VALUE THEOREM
An Introduction to differentiation
L9.1 INTRODUCTION TO DIFFERENTIATION
L9.2 DIFFERENTIATION BY FIRST PRINCIPLE
L9.3 DIFFERENTIATION BY FIRST PRINCIPLE 2
L9.4 CONTINUITY AND DIFFERENTIABLITY
L9.5 LEFT AND RIGHT HAND DERIVATIVE
L9.6 ALGEBRA OF DERIVATIVES
L9.7 Chain Rule and problems of Q.R
L9.8 DERIVATIVE OF TRIGNOMETRIC FUNCTIONS
L9.9 DERIVATIVE OF INVERSE FUNCTION
L9.10 DERIVATIVE OF INVERSE TRIGNOMETRIC FUNCTIONS
Some more derivatives
L10.1 SOME MORE DERIVATIVES
L10.2 DERIVATIVE OF EXPONENTIAL FUNCTION
L10.3 DERIVATIVE OF HYPERBOLIC FUNCTION
L10.4 METHOD OF LOG FUNCTION
Higher order derivatives
L11.1 SECOND ORDER DERIVATIVES
L11.2 nth derivative of functions
L11.3
L11.4 POLYNOMIAL APPROXIMATION
L11.5 maclaurins polynomial