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# IIT-JEE FOUNDATION-II

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Electronic City, Bangalore

Course ID: 62227

Electronic City, Bangalore

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₹ 50,000

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12thÂ class (NCERT) Plan (Full syllabus)

 1. Relations and Functions 3 Â 1.1 Introduction 1 Â 1.2 Types of Relations 1 Â 1.3 Types of Functions 2 Â 1.4 Composition of Functions and Invertible Function 2-3 Â 1.5 Binary Operations 3 2. Inverse Trigonometric Functions 1 Â 2.1 Introduction 1 Â 2.2 Basic Concepts 1 Â 2.3 Properties of Inverse Trigonometric Functions 1 3. Matrices 4 Â 3.1 Introduction 1 Â 3.2 Matrix 1 Â 3.3 Types of Matrices 1 Â 3.4 Operation onÂ  Matrices 2 Â 3.5 Transpose of aÂ  Matrix 3 Â 3.6 Symmetric and Skew SymmetricÂ  Matrices 3 Â 3.7 Elementary Operations (Transformation) of a Matrix 4 Â 3.8 InvertibleÂ  Matrices 4 4. Determinants 3 Â 4.1 Introduction 1 Â 4.2 Determinant 1 Â 4.3 Properties ofÂ  Determinant 1 Â 4.4 Area of a Triangle 2 Â 4.5 Minors and Cofactors 2 Â 4.6 Adjoint and Inverse of a Matrix 3 Â 4.7 Applications ofÂ  Determinant and Matrices 3 5. Continuity and Differentiability 4 Â 5.1 Introduction 1 Â 5.2 Continuity 1 Â 5.3 Differentiability 2 Â 5.4 Exponential and Logarithmic Functions 3 Â 5.5 Logarithmic Differentiation 3 Â 5.6 Derivatives of Functions in Parametric Forms 4 Â 5.7 Second Order Derivatives 4 Â 5.8 Mean Value Theorem 4 6. Application of Derivatives 3 Â 6.1 Introduction 1 Â 6.2 Rate of Change of Quantities 1 Â 6.3 Increasing and Decreasing Functions 1 Â 6.4 Tangents and Normal 2 Â 6.5 Approximations 3 Â 6.6 Maxima and Minima 3 7. Integrals 6 Â 7.1 Introduction 1 Â 7.2 Integration as an Inverse Process of Differentiation 1 Â 7.3 Methods of Integration 1-2 Â 7.4 Integrals of some Particular Functions 2 Â 7.5 Integration by Partial Fractions 3 Â 7.6 Integration by Parts 4 Â 7.7 Define Integral 5 Â 7.8 Fundamental Theorem of Calculus 5 Â 7.9 Evaluation of Define Integrals by Substitution 6 Â 7.10 Some Properties of Definite Integrals 6 8. Application of Integrals 1 Â 8.1 Intro 1 Â 8.2 Area under curve 1 Â 8.3 Area between curves 1 9. Differential Equations 4 Â 9.1 Intro 1 Â 9.2 Basic concepts 1 Â 9.3 General and particular solution of a DE 1-2 Â 9.4 Formation of DE whose general solution is given 2 Â 9.5 Methods of solving first order, first degree DE 3+4 10. Vector Algebra 2 Â 10.1 Intro 1 Â 10.2 Basics concepts 1 Â 10.3 Types of vectors 1 Â 10.4 Addition of vectors 1 Â 10.5 Multiplication of vector by a scalar 2 Â 10.6 Product of two vectors 2 11. Three Dimensional Geometry 4 Â 11.1 Intro 1 Â 11.2 Direction cosines and ratios of a line 1 Â 11.3 Equation of line 1-2 Â 11.4 Angle between lines 2 Â 11.5 Shortest distance between lines 2-3 Â 11.6 Plane 3 Â 11.7 Co-planarity in planes 3 Â 11.8 Angle between planes 4 Â 11.9 Distance of a point from a plane 4 Â 11.10 Angle between line and a plane 4 12. Linear Programming 1-2 Â 12.1 Intro 1 Â 12.2 LP problems and its mathematical foundation 1 Â 12.3 Different types of LPP 1 13. Probability 5 Â 13.1 Intro 1 Â 13.2 Conditional Probability 1 Â 13.3 Multiplication theorem 2 Â 13.4 Independent events 2 Â 13.5 Bayes theorem 3 Â 13.6 Random variables and probability distribution 4 Â 13.7 Bernoulli Trails and binomial distribution 5 Â Â Total Sessions 43

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