- 13 Sections
- 86 Lessons
- 20 Weeks
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- Relations and FunctionsUnit-I: Relations and Functions3
- Inverse Trigonometric FunctionsUnit-I: Relations and Functions4
- MatricesUnit-II: Algebra13
- 4.1Concept & Notation
- 4.2Order & equality
- 4.3Types of matrices
- 4.4Zero and identity matrix
- 4.5Transpose of a matrix
- 4.6Symmetric and skew symmetric matrices
- 4.7Operation on matrices – 1
- 4.8Operation on matrices – 2
- 4.9Simple properties – 1
- 4.10Simple properties – 2
- 4.11Commutativity of multiplication of matrices and existence
- 4.12Invertible matrices
- 4.13Proof of the uniqueness of inverse
- DeterminantsUnit-II: Algebra5
- Continuity and DifferentiabilityUnit-III: Calculus8
- 6.1Continuity and differentiability, chain rule
- 6.2Derivative of inverse trigonometric functions
- 6.3Derivative of implicit functions
- 6.4Concept of exponential and logarithmic functions
- 6.5Derivatives of logarithmic and exponential functions
- 6.6Logarithmic differentiation
- 6.7Derivative of functions expressed in parametric forms
- 6.8Second order derivatives
- Applications of DerivativesUnit-III: Calculus5
- IntegralsUnit-III: Calculus7
- 8.1Integration as inverse process of differentiation
- 8.2Integration of a variety of functions by substitution
- 8.3By partial fractions and By parts
- 8.4Evaluation of simple integrals of different types and problems based.
- 8.5Fundamental Theorem of Calculus
- 8.6Basic properties of definite integrals
- 8.7Evaluation of definite integrals
- Applications of the IntegralsUnit-III: Calculus3
- Differential EquationsUnit-III: Calculus6
- 10.1Definition
- 10.2Order and degree
- 10.3General and particular solutions of a differential equation
- 10.4Solution of differential equations by method of separation of variables
- 10.5Solutions of homogeneous differential equations of first order and first degree
- 10.6Solutions of linear differential equation of the type
- VectorsUnit-IV: Vectors and Three-Dimensional Geometry12
- 11.1Vectors and scalars
- 11.2Magnitude and direction of a vector
- 11.3Direction cosines and direction ratios of a vector
- 11.4Types of vectors
- 11.5Position vector of a point
- 11.6Negative of a vector
- 11.7Components of a vector
- 11.8Addition of vectors, multiplication of a vector by a scalar
- 11.9Position vector of a point dividing a line segment in a given ratio
- 11.10Geometrical Interpretation
- 11.11Properties and application of scalar (dot) product of vectors
- 11.12Vector (cross) product of vectors
- Three - dimensional GeometryUnit-IV: Vectors and Three-Dimensional Geometry5
- Linear ProgrammingUnit-V: Linear Programming8
- 13.1Introduction
- 13.2Related terminology such as constraints
- 13.3Objective function
- 13.4Optimization
- 13.5Graphical method of solution for problems in two variables
- 13.6Feasible and infeasible regions (bounded or unbounded)
- 13.8Feasible and infeasible solutions
- 13.9Optimal feasible solutions (up to three non-trivial constraints)
- ProbabilityUnit-VI: Probability7
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