01
Relations and Functions
- Types of relations
- Types of functions
- One-one and onto functions
- Composite functions
- Invertible functions
- Inverse of a function
- Binary operations
Standard 12th Mathematics With Coding and AI
- Product Code: Winnersneev C12
- Availability: In Stock
₹24,999.00
- Ex Tax: ₹24,999.00
ONLINE MATHEMATICS COURSE
Standard 12th Mathematics with Coding and AI
Master Class 12 Mathematics through concept-based learning, step-by-step numerical practice, coding demonstrations and Artificial Intelligence awareness. Prepare for board examinations with structured revision and problem-solving practice.
16 Weeks Course Duration
13 Chapters Mathematics Curriculum
Coding + AI Technology-Enhanced Learning
📚 Mathematics Course Contents
02
Inverse Trigonometric Functions
- Introduction to inverse trigonometric functions
- Domain and range
- Principal values
- Properties of inverse trigonometric functions
- Trigonometric identities
- Simplification of expressions
- Graphs and applications
03
Matrices
- Introduction to matrices
- Types of matrices
- Order of a matrix
- Equality of matrices
- Matrix operations
- Transpose of a matrix
- Symmetric and skew-symmetric matrices
- Invertible matrices
- Applications of matrices
04
Determinants
- Determinants of order 2 and 3
- Properties of determinants
- Minors and cofactors
- Area of a triangle
- Adjoint of a matrix
- Inverse of a matrix
- Solving linear equations using matrices and determinants
05
Continuity and Differentiability
- Continuity of functions
- Differentiability
- Relationship between continuity and differentiability
- Derivatives of standard functions
- Chain rule
- Implicit differentiation
- Logarithmic differentiation
- Parametric differentiation
- Higher-order derivatives
06
Applications of Derivatives
- Rate of change
- Increasing and decreasing functions
- Tangents and normals
- Maxima and minima
- First derivative test
- Second derivative test
- Optimization problems
- Real-life applications
07
Integrals
- Introduction to integration
- Integration as inverse differentiation
- Indefinite integrals
- Standard integrals
- Integration by substitution
- Integration by parts
- Partial fractions
- Definite integrals
- Properties of definite integrals
08
Applications of Integrals
- Area under a curve
- Area between curves
- Area bounded by lines and curves
- Applications of definite integrals
- Step-by-step problem-solving
09
Differential Equations
- Introduction to differential equations
- Order and degree
- Formation of differential equations
- General and particular solutions
- Variable separable method
- Homogeneous differential equations
- Linear differential equations
- Applications
10
Vector Algebra
- Introduction to vectors
- Types of vectors
- Magnitude and direction
- Addition and subtraction
- Scalar multiplication
- Unit vectors and direction cosines
- Dot product
- Cross product
- Scalar triple product
- Applications
11
Three-Dimensional Geometry
- Direction cosines and ratios
- Equations of lines
- Cartesian and vector equations
- Angle between two lines
- Shortest distance
- Distance between two lines
- Equations of planes
- Angle between planes
- Distance of a point from a plane
- Applications of 3D geometry
12
Linear Programming
- Introduction to linear programming
- Constraints
- Objective function
- Feasible region
- Graphical method
- Corner-point method
- Maximisation and minimisation problems
- Real-life applications
13
Probability
- Conditional probability
- Multiplication theorem
- Independent events
- Bayes' theorem
- Random variables
- Probability distributions
- Mean and variance
- Binomial probability distribution
🎯 Additional Online Training Modules
Strengthen mathematical concepts, improve exam readiness, and practise structured problem-solving throughout the course.
01. NCERT Concept-by-Concept Classes
02. Formula Sheets and Quick Revision
03. Step-by-Step Numerical Practice
04. Important Board-Exam Questions
05. Competency-Based Questions
06. Case-Study Questions
07. Previous-Year Question Practice
08. Chapter-Wise Assignments
09. Weekly Tests
10. Doubt-Solving Sessions
11. Full Syllabus Revision
12. Sample Papers
13. Mock Examinations
14. Board Exam Preparation
15. JEE/Competitive-Exam Foundation Practice
🚀 Learning Outcomes
- Understand important Class 12 Mathematics concepts.
- Apply algebraic and trigonometric techniques to solve problems.
- Develop skills in differentiation and integration.
- Solve problems involving vectors and 3D geometry.
- Apply probability and linear programming concepts.
- Improve calculation speed and mathematical accuracy.
- Practise board-style and competency-based questions.
- Explore coding and AI applications that support mathematical learning.
- Build confidence through assignments, revision and mock tests.
Note: This is a proposed 16-week course outline. Check the current CBSE syllabus for the relevant academic session before describing the course as a complete or official board syllabus. Coding and AI activities are supplementary learning components.
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