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Mathematics First year Notes,Videos
           CHAPTER-1 SETS
1.Sets Study Notes
Video Class -Introduction
1.DEFINITION OF SETS,EXAMPLES,ELEMENTS IN A SET,TYPES OF NUMBERS AND THEIR STANDARD NOTATIONS
2.REPRESENTATION OF SETS IN ROSTER FORM AND PROBLEMS
3.REPRESENTATION OF SETS IN SET BUILDER FORM,PROBLEMS
4.TYPES OF SETS-EMPTY SET,SINGLETON SET,FINITE SETS,INFINITE SETS AND EQUAL SETS
5.SUBSETS,POWER SET,PROPER SUBSETS AND PROBLEMS
6.INTERVALS AS SUBSET OF R,UNIVERSAL SET,VENN DIAGRAMS
7.OPERATIONS ON SETS- UNION,INTERSECTION AND DIFFERENCE OF SETS,DISJOINT SETS
8.PROBLEMS BASED ON UNION,INTERSECTION AND DIFFERENCE OF SETS
9.COMPLEMENT OF A SET,VENN DIAGRAM,PROBLEMS
10.PROPERTIES OF COMPLEMENT SETS- DE MORGANS LAW
11.CARDINALITY OF A SET,PRACTICAL PROBLEMS
12.SETS -PRACTICAL PROBLEMS AND MISCELLANEOUS PROBLEMS
13.SETS -PREVIOUS HSE QUESTION PAPER DISCUSSION CLASS
           CHAPTER 2-RELATIONS AND FUNCTIONS
1.ORDERED PAIR,CARTESIAN PRODUCT OF SETS AND ITS PROPERTIES-Video
Part 1.Study notes
2.CARTESIAN PRODUCT OF SETS MORE PROBLEMS-Video
Part 2.Study notes
3.DEFINITION OF RELATION,ARROW DIAGRAM,DOMAIN,RANGE,CODOMAIN AND PROBLEMS-Video
Part 3.Study notes
4.PROBLEMS DISCUSSING TO FIND DOMAIN,RANGE AND CODOMAIN OF A RELATION-Video
Part 4.Study notes
5.FUNCTIONS,IMAGE,DOMAIN,RANGE,CODOMAIN AND ITS PROBLEMS-Video
Part 5.Study notes
6.GRAPHS OF STANDARD FUNCTIONS AND THEIR DOMAIN AND RANGE-Video
Part 6.Study notes
7.PROBLEMS TO FIND DOMAIN AND RANGE OF FUNCTIONS USING GEOGEBRA-Video
Part 7.Study notes
8.ALGEBRA OF REAL FUNCTIONS AND VALUE OF A FUNCTION-Video
Part 8.Study notes
9.RELATIONS AND FUNCTIONS-MISCELLANEOUS PROBLEMS-Video
Part 9.Study notes
10.RELATIONS AND FUNCTIONS - PREVIOUS HSE QUESTION PAPER DISCUSSION CLASS-Video
           CHAPTER 3-TRIGONOMETRIC FUNCTIONS
1.TRIGONOMETRIC FUNCTIONS -ANGLE,RADIAN MEASURE AND DEGREE -Video
Part 1.Study notes
2.TRIGONOMETRIC FUNCTIONS -LENGTH OF AN Arc -Video
Part 2.Study notes
3.DOMAIN,RANGE AND GRAPHS OF TRIGONOMETRIC FUNCTIONS,TRIGONOMETRIC IDENTITIES -Video
Part 3.Study notes
4.SIGN OF TRIGONOMETRIC FUNCTIONS -Video
Part 4.Study notes
5.REDUCTION FORMULAS AND STANDARD TRIGONOMETRIC VALUES -Video
Part 5.Study notes
6.Problems based on trigonometric values and reduction formulas -Video
Part 6.Study notes
7.Problems based on addition and subtraction formulas -Video
Part 7.Study notes
8.MULTIPLE ANGLE FORMULAS AND ITS PROBLEMS -Video
Part 8.Study notes
9.SUM AND DIFFERENCE FORMULAS,PRODUCT FORMULAS AND THEIR PROBLEMS -Video
Part 9.Study notes
10.PROBLEMS BASED ON MULTIPLE ANGLE FORMULAS AND SUM FORMULAS HALF ANGLE FORMULAS -Video
Part 10.Study notes
11.SOLUTION OF TRIGONOMETRIC EQUATIONS-PRINCIPAL AND GENERAL SOLUTIONS -Video
Part 11.Study notes
12.SOLUTION OF TRIGONOMETRIC EQUATIONS - MORE PROBLEMS -Video
Part 12.Study notes
13.LAW OF SINES PROOF AND PROBLEMS-Video
Part 13.Study notes
14.LAW OF COSINES AND ITS PROBLEMS-Video
Part 14.Study notes
15.LAW OF SINE AND COSINE -APPLICATION LEVEL PROBLEMS-Video
Part 15.Study notes
RIGONOMETRIC FUNCTIONS-PREVIOUS HSE QUESTION PAPER DISCUSSION CLASS-Video
           CHAPTER 4-PRINCIPLE OF MATHEMATICAL INDUCTION
1.PRINCIPLE OF MATHEMATICAL INDUCTION-Video
Part 1.Study notes
2.PROBLEMS BASED ON PRINCIPLE OF MATHEMATICAL INDUCTION-Video
Part 2.Study notes
3.PROBLEMS BASED ON PRINCIPLE OF MATHEMATICAL INDUCTION-Video
Part 3.Study notes
4.PRINCIPLE OF MATHEMATICAL INDUCTION MORE PROBLEMS-Video
Part 4.Study notes
           CHAPTER 5-COMPLEX NUMBERS
1.COMPLEX NUMBERS INTRODUCTION,SOLUTION OF QUADRATIC EQUATIONS-Video
Part 1.Study notes
2.ALGEBRA OF COMPLEX NUMBERS-Video
Part 2.Study notes
3.COMPLEX NUMBERS-POWERS OF i-Video
Part 3.Study notes
4.MODULUS, CONJUGATE AND MULTIPLICATIVE INVERSE OF A COMPLEX NUMBER-Video
Part 4.Study notes
5.SQUARE ROOT OF A COMPLEX NUMBER-Video
Part 5.Study notes
6.POLAR REPRESENTATION OF A COMPLEX NUMBER-Video
Part 6.Study notes
7.MISCELLANEOUS PROBLEMS-Video
Part 7.Study notes
           CHAPTER 6-LINEAR INEQUALITIES
1.SOLUTION OF LINEAR INEQUALITY-Video
Part 1.Study notes
2.SOLUTIONS OF SYSTEM OF LINEAR INEQUALITIES-Video
Part 2.Study notes
3.SOLUTION OF LINEAR INEQUALITY WITH TWO VARIABLES-Video
Part 3.Study notes
4.SOLUTION OF SYSTEM OF LINEAR INEQUALITIES-Video
Part 4.Study notes
           CHAPTER 7-PERMUTATIONS AND COMBINATIONS
1.FUNDAMENTAL PRINCIPLE OF COUNTING-Video
Part 1.Study notes
2.PERMUTATIONS MORE PROBLEMS-Video
Part 2.Study notes
3.COMBINATIONS-Video
Part 3.Study notes
4.COMBINATIONS MORE PROBLEMS-Video
Part 4.Study notes
5.PERMUTATIONS AND COMBINATIONS-PREVIOUS 5 HSE QUESTIONS AND ANSWERS-Video
           CHAPTER 8-BINOMIAL THEOREM
1.BINOMIAL THEOREM SIMPLE PROBLEMS-Video
Part 1.Study notes
2.BINOMIAL THEOREM MORE PROBLEMS-2-Video
Part 2.Study notes
3.PROPERTIES OF BINOMIAL THEOREM-Video
Part 3.Study notes
4.MISCELLANEOUS PROBLEMS-Video
Part 4.Study notes
           CHAPTER 9-SEQUENCES AND SERIES
1.SEQUENCES AND SERIES INTRODUCTION-Video
Part 1.Study notes
2.ARITHMETIC PROGRESSION-Video
Part 2.Study notes
3.SUM TO n TERMS OF AN A P-Video
Part 3.Study notes
4.GEOMETRIC PROGRESSION-Introduction and problems related to n th term-Video
Part 4.Study notes
5.GEOMETRIC PROGRESSION-MORE PROBLEMS-Video
Part 5.Study notes
6.GEOMETRIC PROGRESSIONS MORE PROBLEMS-Video
Part 6.Study notes
7.SUM TO n TERMS OF SPECIAL SERIES-Video
Part 7.Study notes
8.PREVIOUS 5 HSE QUESTION PAPER DISCUSSION CLASS-Video
           CHAPTER 10-STRAIGHT LINES
1.STRAIGHT LINES-INTRODUCTION-Section formula, distance formula, area of a triangle, midpoint formula-Video
Part 1.Study notes
2.SLOPE OF A LINE-Video
Part 2.Study notes
3.VARIOUS FORMS OF EQUATION OF A LINE-Video
Part 3.Study notes
4.VARIOUS FORMS OF EQUATION OF A LINE-Cont...-Video
Part 4.Study notes
5.DIFFERENT FORMS OF GENERAL EQUATION OF A LINE-Video
Part 5.Study notes
6.EQUATION OF FAMILY OF LINES THROUGH INTERSECTION OF 2 LINES-Video
Part 6.Study notes
7.DISTANCE OF A POINT FROM A LINE-Video
Part 7.Study notes
8.MISCELLANEOUS PROBLEMS-Video
Part 8.Study notes
9.STRAIGHT LINES -PREVIOUS HSE QUESTIONS AND ANSWERS-Video
           CHAPTER 11-CONIC SECTIONS
1.CONIC SECTIONS-CIRCLE-Video
Part 1.Study notes
2.CONIC SECTIONS-PARABOLA-Video
Part 2.Study notes
3.CONIC SECTIONS-ELLIPSE-Video
Part 3.Study notes
4.CONIC SECTIONS-ELLIPSE-MORE PROBLEMS-Video
Part 4.Study notes
5.CONIC SECTIONS-HYPERBOLA-Video
Part 5.Study notes
6.CONIC SECTIONS -PREVIOUS HSE QUESTIONS AND ANSWERS-Video
           CHAPTER 12-INTRODUCTION TO THREE DIMENSIONAL GEOMETRY
1.INTRODUCTION TO THREE DIMENSIONAL GEOMETRY-PART-1-Video
Part 1.Study notes
2.DISTANCE BETWEEN TWO POINTS-Video
Part 2.Study notes
3.SECTION FORMULA, CENTROID OF A TRIANGLE-Video
Part 3.Study notes
4.MISCELLANEOUS PROBLEMS-Video
Part 4.Study notes
           CHAPTER 13-LIMITS AND DERIVATIVES
1.INTRODUCTION TO LIMITS-Video
Part 1.Study notes
2.LIMITS OF RATIONAL FUNCTIONS-Video
Part 2.Study notes
3.LIMITS OF RATIONAL FUNCTIONS MORE PROBLEMS-Video
Part 3.Study notes
4.LIMITS OF PIECEWISE FUNCTIONS-Video
Part 4.Study notes
5.LIMITS OF TRIGONOMETRIC FUNCTIONS-Video
Part 5.Study notes
6.LIMITS OF EXPONENTIAL AND LOGARITHMIC FUNCTIONS-Video
Part 6.Study notes
7.DERIVATIVES USING FIRST PRINCIPLE-Video
Part 7.Study notes
8.DERIVATIVES OF SOME STANDARD FUNCTIONS-Video
Part 8.Study notes
9.BASIC DIFFERENTIATION-Video
Part 9.Study notes
10.DIFFERENTIATION MORE PROBLEMS-Video
Part 10.Study notes
           CHAPTER 14-MATHEMATICAL REASONING
1.NEGATION, CONVERSE, CONTRAPOSITIVE OF A STATEMENT-Video
Part 1.Study notes
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