# Mathematics 10 - 12

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Live online course for class 10th, 11th & 12th

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1 hours

Package Duration

10 hours

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### What you'll learn

 CLASS X CLASS XI CLASSXII Trigonometrical Identities 1. Trigonometric Tables 2. Trigonometric Ratios of Complementary Angles 3. Trigonometric Identities Sets 1. Set Notations 2. Subset and Superset 3. Operations on Sets 4. Algebra of Sets 5. Counting Theorems Continuity and Differentiability 1. Continuity 2. Differentiability and Chain Rules 3. Differentiation: Implicit Functions 4. Differentiation of Exponential Functions 5. Second Order Derivatives 6. Logarithmic Functions 7. Difference of Parametric Function Statistics: Graphical Representation- Histogram and Ogive Relations and Functions 1. Cartesian Product of Sets 2. Relations 3. Functions 4. Graphs and Algebra of Functions Inverse Trigonometric Functions 1. Introduction: Inverse Trigonometry 2. Properties of Inverse Trigonometry Applications of Probability Principle of Mathematical Induction: Introduction and Application Matrices 1. Introduction to Matrices 2. Matrix Operations 3. Transpose of a Matrix 4. Elementary Operations Compound Interest using Formula and Without Formula Complex Numbers and Quadratic Equations 1. Introduction to Complex Numbers 2. Geometry of Complex Numbers 3. Quadratic Equations 4. Square Root of a Complex Number Determinants 1. Introduction to Determinants 2. Properties and Application of Determinants 3. Minors and Co-factors 4. Solving Simultaneous Equations Sales tax and Value Added Tax Linear Inequalities 1. Linear Inequalities: One Variable, 1 and 2 Variables 2. Graphical Solutions 3. Word Problems: Linear Inequalities Applications of Integrals 1. Area between a Curve and a Line 2. Area between two Curves Banking 1. Interest on Savings Bank Account 2. Interest on Recurring Bank Account Trigonometric Functions 1. Introduction to Trigonometric Functions 2. Degree Measure and Radian Measure 3. Graphs of Trigonometric Functions 4. Trigonometric Equations 5. Sign of Trigonometric Functions 6. Multiple Angle Formulae 7. Advanced Trigonometric Formula 8. Sum and Difference Formulae 9. Basic Trigonometric Formulae 10. Sine and Cosine Laws Integrals 1. Introduction to Integration 2. Problems on Definite Integrals 3. Properties of Definite Integrals 4. Evaluating Definite Integrals 5. Limit of a Sum 6. Integration by Parts and Partial Fractions 7. Integrals of Special Functions and Trigonometric Identities 8. Integration by Substitution 9. More Problems on Integrations Shares and Dividend Permutations and Combinations 1. Fundamental Principles of Counting 2. Permutations: Distinct and Non-Distinct Objects 3. Combinations 4. Applications of Permutations and Combinations Differential Equations 1. Nitro: Differential Equations 2. Variable Separable Form 3. Homogenous Differential Equations 4. Linear Differential Equations Linear Equations 1. Solving Inequations 2. Solving Joint Inequations 3. Representation of the Solution on the Number Line Binomial Theorem 1. Binomial Theorem for Positive Index 2. General Terms in Binomial Expansion Applications of Derivatives 1. Rate of Change and Approximations 2. Increasing and Decreasing Functions 3. Tangents and Normals 4. Maxima-Minima- I & II Derivative Test Quadratic Equations 1. Introduction to Quadratic Equations 2. Solving Quadratic Equations using the Formula 3. Method of Completing the Square 4. Nature of Roots 5. Word Problems: Quadratic equations 6. Equations Reducible to Quadratic Form 7. Solution of Quadratic Equations by Factorisation Sequences and Series 1. Arithmetic Progression and Arithmetic Mean 2. Geometric Progressions 3. Relation Between AM and GM 4. Special Sequences and Series 5. Introduction to Sequences 6. Sum to Infinity of a GP Continuity and Differentiability 1. Continuity 2. Differentiability and Chain Rules 3. Differentiation: Implicit Functions 4. Differentiation of Exponential Functions 5. Second Order Derivatives 6. Logarithmic Functions 7. Difference of Parametric Functions 8. Mean Value Theorems Coordinate Geometry- Reflection Straight Lines 1. Basic Concept of 2D Geometry 2. Slope of a Line 3. Various Forms of Equation of a Line 4. Normal and General Form of a Line 5. Distance between Lines 6. Shifting of Origin Vector Algebra 1. Introduction to Vector Algebra 2. Properties of Vectors 3. Scalar Product of Two Vectors 4. Cross Product Ratios and Proportion Conic Sections 1. Circles 2. Parabola 3. Ellipse Three Dimensional Geometry 1. Introduction to 3-D Geometry 2. Cartesian Equation of a Line 3. Skew Lines 4. Equation of Plane 5. Intercept Form and Family of Planes 6. Distance of a Point from a Plane Factorisation by Using Factor Theorem and Reminder Theorem Introduction to 3-Dimentional Geometry 1. Introduction 2. Distance Formula: 3-D Geometry 3. Section Formula: 3-D Geometry Linear Programing 1. Introduction to Linear Programing 2. Optimal Solution 3. Solution of Linear Programing Problems Matrices 1. Introduction to Matrices 2. Algebra to Matrices 3. Multiplication of Matrices Limits and Derivatives 1. Introduction and Algebra of Limits 2. Limits of Rational Functions and Trigonometric Functions 3. Measuring of Derivatives 4. Sum and Difference Rule 5. Infinite Limits 6. Logarithmic and Exponential Limits Probability 1. Introduction to Conditional Probability 2. Independent Events 3. Bayes’ Theorem 4. Distribution of Random Variables 5. Binomial Distribution 6. Mean and Variance of a Random Variable Distance and Section Formulae 1. Section and Mid-Point Formula 2. Distance Formula Mathematical Reasoning 1. Mathematical Statement 2. Implications and Validating of Statements Equation of a Line 1. Slope of a Line 2. Various Forms of Equation of A Line Probability 1. Introduction to Probability 2. Axiomatic Probability 3. Problems on Probability Symmetry 1. Line Symmetry 2. Drawing Symmetrical Figures Statistics 1. Mean Deviation 2. Variance and Standard Deviation Similarity 1. Applications to Maps and Models 2. Similar Triangles 3. Area of Similar Triangles Loci: Concepts, Theorems and Applications of Loci Circle: Arc, Chord and Cyclic Properties 1. Cyclic Quadrilaterals 2. Chord Properties Circle: Chords and Tangent Properties 1. Alternate Segment Properties 2. Secant and Tangent Properties 3. Properties of Tangents 4. Common Tangents: Direct and Transverse Circle: Constructions 1. Construction of Tangents 2. Construction Incircle, Circumcircle Mensuration: Circle 1. Area of Circular Regions 2. Semi-circle and Quadrant Mensuration: Right Circular Cone Sphere 1. Surface Area and Volume of a Cone 2. Surface Area and Volume of Sphere and Hemisphere 3. Surface Area and Volume of Combination of Solids 4. Conversion of Solids Heights and Distances 1. Introduction 2. Applications Measures of Central Tendency- Mean 1. Arithmetic Mean of Grouped Data Measures of Central Tendency- Median and Mode 1. Median and Mode of Grouped Data