HandoutsEt

HandoutsEt

Grade 12 Mathematics Student Textbook

The contents of book are as given below

Unit 1: Sequences and Series

  • 1.1 Sequences
  • 1.2 Arithmetic sequences and geometric sequences
  • 1.3 The sigma notation and partial sums
  • 1.4 Infinities series
  • 1.5 Applications of arithmetic progressions and geometric progressions

Unit 2: Introduction to Limits and Continuity

  • 2.1 Limits of sequences of numbers
  • 2.2 Limits of functions
  • 2.3 Continuity of a function
  • 2.4 Exercises on applications of limits

Unit 3 Introduction to Differential Calculus

  • 3.1 Introduction to Derivatives
  • 3.2 Derivatives of some functions
  • 3.3 Derivatives of combinations and compositions of functions

Unit 4 Applications of Differential Calculus

  • 4.1 Extreme values of functions
  • 4.2 Minimization and maximization problems
  • 4.3 Rate of change

Unit 5 Introduction to Integral Calculus 

  • 5.1 Integration as reverse process of differentiation
  • 5.2 Techniques of integration
  • 5.3 Definite integrals, area and fundamental theorem of calculus
  • 5.4 Applications of Integral calculus

Unit 6 Three Dimensional Geometry and Vectors in Space (For Natural Science Students)

  • 6.1 Coordinate axes and coordinate planes in space
  • 6.2 Coordinates of a point in space
  • 6.3 Distance between two points in space
  • 6.4 Mid-point of a line segment in space
  • 6.5 Equation of sphere
  • 6.6 Vectors in space

Unit 7 Mathematical Proofs (For Natural Science Students)

  • 7.1 Revision on logic
  • 7.2 Different types of proofs
  • 7.3 Principle and application of mathematical induction

Unit 8 Further on Statistics (For Social Science Students)

  • 8.1 Sampling techniques
  • 8.2 Representation of data
  • 8.3 Construction and interpretation of graphs
  • 8.4 Measures of central tendency and measures of variability
  • 8.5 Analysis of frequency distributions
  • 8.6 Use of cumulative frequency curves

Unit 9 Mathematical Applications for Business and consumers (For Social Science Students) 

  • 9.1 Applications to purchasing
  • 9.2 Percent increase and percent decrease
  • 9.3 Real estate expenses
  • 9.4 Wages