Math Chapters 1-2: Mathematical Logic and Matrices

Math Chapter 1: Mathematical Logic

• Weightage in board exam: 3-4 marks
• Important questions:
  • Negation of a statement
  • Quantified statements
  • Truth tables
• Trend: Questions from last 5 years' board exams have been repeatedly asked

Math Chapter 2: Matrices

• Weightage in board exam: 3-4 marks
• Important exercises:
  • Addition and multiplication of matrices
  • Inverse of a matrix
  • Application of matrices (e.g., finding the inverse of a matrix)
• Trend: Questions from last 5 years' board exams have been repeatedly asked

Math Chapter 3: Differentiation

• Weightage in board exam: 4-5 marks
• Important exercises:
  • Logarithmic differentiation
  • Implicit differentiation
  • Differentiation of trigonometric functions
• Trend: Questions from last 5 years' board exams have been repeatedly asked

Math Chapter 4: Application of Derivatives

• Weightage in board exam: 4-5 marks
• Important exercises:
  • Increasing and decreasing functions
  • Maxima and minima problems
  • Application of derivatives in optimization problems
• Trend: Questions from last 5 years' board exams have been repeatedly asked

Math Chapter 5: Integration

• Weightage in board exam: 4-5 marks
• Important exercises:
  • Integration by substitution
  • Integration by partial fractions
  • Definite integrals
• Trend: Questions from last 5 years' board exams have been repeatedly asked

Math Chapter 6: Differential Equations

• Weightage in board exam: 3-4 marks
• Important exercises:
  • First-order differential equations
  • Application of differential equations
• Trend: Questions from last 5 years' board exams have been repeatedly asked

Math Chapter 7: Probability Distribution

• Weightage in board exam: 4-5 marks
• Important exercises:
  • Binomial distribution
  • Poisson distribution
  • Normal distribution
• Trend: Questions from last 5 years' board exams have been repeatedly asked

Probability Distribution

• Important exercises:
  • Conditional probability
  • Bayes' theorem
  • Random variables

Commerce Chapter 1: Commission, Brokerage, and Discount

• Weightage in board exam: 3-4 marks
• Important exercises:
  • Commission and brokerage calculations
  • Discount calculations
• Trend: Questions from last 5 years' board exams have been repeatedly asked

Commerce Chapter 2: Linear Regression

• Weightage in board exam: 3-4 marks
• Important exercises:
  • Method of least squares
  • Lines of regression
• Trend: Questions from last 5 years' board exams have been repeatedly asked

Commerce Chapter 3: Time Series Analysis

• Weightage in board exam: 3-4 marks
• Important exercises:
  • Moving averages
  • Exponential smoothing
  • Seasonal variations
• Trend: Questions from last 5 years' board exams have been repeatedly asked

Commerce Chapter 4: Index Numbers

• Weightage in board exam: 3-4 marks
• Important exercises:
  • Construction of index numbers
  • Price relative method
  • Weighted aggregates
• Trend: Questions from last 5 years' board exams have been repeatedly asked

Commerce Chapter 5: Probability Distribution

• Weightage in board exam: 4-5 marks
• Important exercises:
  • Binomial distribution
  • Poisson distribution
  • Normal distribution
• Trend: Questions from last 5 years' board exams have been repeatedly asked

Math Chapters

Chapter 1: Mathematical Logic

• Weightage in board exam: 3-4 marks
• Important topics: negation of a statement, quantified statements, truth tables

Chapter 2: Matrices

• Weightage in board exam: 3-4 marks
• Important exercises: addition and multiplication of matrices, inverse of a matrix, application of matrices

Chapter 3: Differentiation

• Weightage in board exam: 4-5 marks
• Important exercises: logarithmic differentiation, implicit differentiation, differentiation of trigonometric functions

Chapter 4: Application of Derivatives

• Weightage in board exam: 4-5 marks
• Important exercises: increasing and decreasing functions, maxima and minima problems, application of derivatives in optimization problems

Chapter 5: Integration

• Weightage in board exam: 4-5 marks
• Important exercises: integration by substitution, integration by partial fractions, definite integrals

Chapter 6: Differential Equations

• Weightage in board exam: 3-4 marks
• Important exercises: first-order differential equations, application of differential equations

Chapter 7: Probability Distribution

• Weightage in board exam: 4-5 marks
• Important exercises: binomial distribution, Poisson distribution, normal distribution
• Also important: conditional probability, Bayes' theorem, random variables

Commerce Chapters

Chapter 1: Commission, Brokerage, and Discount

• Weightage in board exam: 3-4 marks
• Important exercises: commission and brokerage calculations, discount calculations

Chapter 2: Linear Regression

• Weightage in board exam: 3-4 marks
• Important exercises: method of least squares, lines of regression

Chapter 3: Time Series Analysis

• Weightage in board exam: 3-4 marks
• Important exercises: moving averages, exponential smoothing, seasonal variations

Chapter 4: Index Numbers

• Weightage in board exam: 3-4 marks
• Important exercises: construction of index numbers, price relative method, weighted aggregates

Chapter 5: Probability Distribution

• Weightage in board exam: 4-5 marks
• Important exercises: binomial distribution, Poisson distribution, normal distribution

Practice quiz covering mathematical logic and matrices, including negation, quantified statements, truth tables, matrix operations, and inverse of a matrix. Key concepts for board exams.