MATHEMATICS
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CBSE Class 12 Commerce Mathematics Syllabus:
| Name of the Chapters |
| Relations and Functions |
| Introduction to Relations |
| Introduction to Functions |
| Problems on Functions |
| Composition of Functions |
| Binary Operations |
| Inverse Trigonometric Functions |
| Introduction: Inverse Trigonometry |
| Properties of Inverse Trigonometry |
| Matrices |
| Introduction to Matrices |
| Matrix Operations |
| Transpose of A Matrix |
| Elementary Operations |
| Determinants |
| Introduction to Determinants |
| Properties of Determinants |
| Properties and Applications of Determinants |
| Minors and Co-factors |
| Solving Simultaneous Equations |
| Continuity and Differentiability |
| Continuity |
| Differentiability and Chain Rule |
| Differentiation: Implicit Functions |
| Differentiation of Exponential Functions |
| Second Order Derivatives |
| Logarithmic Functions |
| Differentiation of Parametric Functions |
| Mean Value Theorems |
| Applications of Derivatives |
| The rate of Change and Approximations |
| Increasing and Decreasing Functions |
| Tangents and Normals |
| Maxima – Minima – I Derivative Test |
| Maxima – Minima – II Derivative Test |
| Integrals |
| Introduction to Integration |
| Problems on Definite Integrals |
| Properties of Definite Integrals |
| Evaluating Definite Integrals |
| Limit of A Sum |
| Integration by Parts |
| Integration by Partial Fractions |
| Integrals of Special Functions |
| Integrals of Trigonometric Identities |
| Integration by Substitution |
| More Problems on Integration |
| Applications of Integrals |
| Area Between A Curve and A-Line |
| Area Between Two Curves |
| Differential Equations |
| Intro: Differential Equations |
| Variable Separable Form |
| Homogenous Differential Equations |
| Linear Differential Equations |
| Vector Algebra |
| Introduction to Vector Algebra |
| Properties of Vectors |
| Scalar Product of Two Vectors |
| Cross Product |
| Three Dimensional Geometry |
| Introduction to 3-D Geometry |
| Cartesian Equation of A-Line |
| Skew Lines |
| Equation of Plane |
| Intercept Form and Family of Planes |
| The distance of A Point From A Plane |
| Linear Programming |
| Introduction to Linear Programming |
| Optimal Solution |
| The solution of Linear Programming Problems |
| Probability |
| Introduction to Conditional Probability |
| Independent Events |
| Bayes’ Theorem |
| Distribution of Random Variables |
| Binomial Distribution |
| Mean and Variance of A Random Variable |
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Course details
Lectures
4
Quizzes
1
Level
Beginner
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