Mathematics First year Notes,Videos
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| 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
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| 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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