Class 12th CBSE ICSE Maths

Pure Mathematcis is a highly reputed institute for the preparation for class 12th Math exams in Chandigarh and Pnachkula It has given outstanding results in all courses. Chandigarh and Panchkula. pure Mathematics is one of the leading institutes located in Chandigarh and Panchkula which provides the best education & training of Math Coaching and provide Latest study material to its students and helps them to improve their overall performance in academics and also provide expert guidance to the students for enhancing the personality.Pure Mathematcis is eminent institute for Math Coaching for class 7th 8th 9th 10th 11th 12th. We have 15 years teaching experienced in mathematics subject.

Class 12th Coaching in Panchkula and Chandigarh

Course Overview 

• Total Duration: 10 months (August to May)

• Weekly Schedule: 4 classes per week (1.5 hours each)

• Total Classes: 160 classes

Course Objectives

1. To provide a clear understanding of all topics in the Class 12th Mathematics syllabus.

2. To develop problem-solving and analytical skills.

3. To prepare students for board exams and competitive exams like JEE, NEET, and other entrance tests.

4. To provide regular practice through assignments, quizzes, and mock tests.

Syllabus Breakdown

1. Relations and Functions (CBSE & ICSE)

• Types of relations

• Types of functions

• Composition of functions

• Invertible functions

• Binary operations

2. Algebra

• Matrices (CBSE & ICSE)

  • Types of matrices

  • Operations on matrices

  • Transpose of a matrix

  • Symmetric and skew-symmetric matrices

  • Determinants

  • Properties of determinants

  • Inverse of a matrix

• Determinants (CBSE & ICSE)

  • Minors and cofactors

  • Adjoint and inverse of a matrix

  • Applications of determinants (solving linear equations)

3. Calculus

• Continuity and Differentiability (CBSE & ICSE)

  • Continuity

  • Differentiability

  • Derivatives of composite functions

  • Chain rule

  • Derivatives of implicit functions

  • Exponential and logarithmic functions

• Applications of Derivatives (CBSE & ICSE)

  • Rate of change

  • Increasing and decreasing functions

  • Tangents and normals

  • Approximations

  • Maxima and minima

• Integrals (CBSE & ICSE)

  • Indefinite integrals

  • Methods of integration (substitution, partial fractions, by parts)

  • Definite integrals

  • Properties of definite integrals

  • Fundamental Theorem of Calculus

• Applications of Integrals (CBSE & ICSE)

  • Area under curves

  • Area between two curves

4. Vectors and 3D Geometry (CBSE & ICSE)

• Vectors

  • Types of vectors

  • Addition and multiplication of vectors

  • Scalar and vector triple product

• 3D Geometry

  • Direction cosines and ratios

  • Equation of a line

  • Angle between two lines

  • Shortest distance between two lines

  • Equation of a plane

  • Distance of a point from a plane

5. Linear Programming (CBSE & ICSE)

• Introduction to linear programming

• Graphical method

• Feasible and infeasible regions

• Optimal solutions

6. Probability (CBSE & ICSE)

• Conditional probability

• Multiplication theorem

• Independent events

• Bayes' theorem

• Random variables

• Probability distribution

• Binomial distribution

Teaching Methodology

1. Conceptual Clarity: Each topic will be explained with real-life examples and visual aids.

2. Problem-Solving: Step-by-step solutions to problems will be provided.

3. Interactive Sessions: Doubt-solving sessions and interactive discussions.

4. Practice: Regular assignments and worksheets for practice.

5. Revision: Periodic revision of topics to ensure retention.

6. Mock Tests: Full-length mock tests to simulate exam conditions.

Study Materials

1. Textbooks:

   • NCERT Mathematics for CBSE

   • ML Aggarwal for ICSE

2. Reference Books:

   • RD Sharma

   • RS Aggarwal

   • Previous years' question papers

Assessment and Evaluation

1. Weekly Quizzes: To assess understanding of weekly topics.

2. Monthly Tests: To evaluate progress and identify weak areas.

3. Mock Exams: Full-length board exam simulations.

4. Assignments: Regular homework to reinforce learning.

Course Schedule

Key Features of the Course

1. Doubt-Solving Sessions: Regular sessions to clear doubts.

2. Personalized Attention: Small batch sizes for individual focus.

3. Exam Strategies: Tips and tricks for scoring high in board exams.

4. Comprehensive Coverage: All topics as per CBSE and ICSE syllabus.

Expected Outcomes

By the end of this course, students will:

1. Have a thorough understanding of Class 12th Mathematics.

2. Be able to solve complex problems with ease.

3. Be well-prepared for board exams and competitive exams.

4. Develop a strong foundation for higher studies in Mathematics.