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)