Mathematics textbook for PUC-I all lessons PDF

Chapters:

Sets   1

• Introduction
• Sets and their Representations   1
• The Empty Set
• Finite and Infinite Sets
• Equal Sets
• Subsets
• Power Set
• Universal Set
• Venn Diagrams
• Operations on Sets
• Complement of a Set
• Practical Problems on Union and Intersection of Two Sets   1

Relations and Functions   1

• Introduction
• Cartesian Product of Sets
• Relations
• Functions

Trigonometric Functions   1

• Introduction
• Angles
• Trigonometric Functions
• Trigonometric Functions of Sum and Difference of Two Angles
• Trigonometric Equations

Principle of Mathematical Induction   1

• Introduction   1
• Motivation
• The Principle of Mathematical Induction

Complex Numbers and Quadratic Equations

• Introduction
• Complex Numbers
• Algebra of Complex Numbers
• The Modulus and the Conjugate of a Complex Number
• Argand Plane and Polar Representation
• Quadratic Equations

Linear Inequalities

• Introduction
• Inequalities
• Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation
• Graphical Solution of Linear Inequalities in Two Variables
• Solution of System of Linear Inequalities in Two Variables

Permutations and Combinations   1

• Introduction
• Fundamental Principle of Counting
• Permutations
• Combinations

Binomial Theorem   1

• Introduction
• Binomial Theorem for Positive Integral Indices   1
• General and Middle Terms

Sequences and Series

• Introduction   4
• Sequences
• Series
• Arithmetic Progression (A.P.)   2
• Geometric Progression (G.P.)
• Relationship Between A.M. and G.M.
• Sum to n terms of Special Series

Straight Lines   3

• Introduction
• Slope of a Line
• Various Forms of the Equation of a Line
• General Equation of a Line
• Distance of a Point From a Line

Conic Sections

• Introduction
• Sections of a Cone
• Circle
• Parabola
• Ellipse
• Hyperbola

Introduction to Three Dimensional Geometry

• Introduction
• Coordinate Axes and Coordinate Planes in Three Dimensional Space
• Coordinates of a Point in Space
• Distance between Two Points
• Section Formula

Limits and Derivatives

• Introduction
• Intuitive Idea of Derivatives
• Limits
• Limits of Trigonometric Functions
• Derivatives

Mathematical Reasoning   1

• Introduction
• Statements
• New Statements from Old
• Special Words/Phrases
• Implications
• Validating Statements

Statistics

• Introduction
• Measures of Dispersion   1
• Range
• Mean Deviation   1
• Variance and Standard Deviation
• Analysis of Frequency Distributions

Probability

• Introduction
• Random Experiments
• Event
• Axiomatic Approach to Probability
• Appendix 1: Infinite Series
  • Introduction
  • Binomial Theorem for any Index
  • Infinite Geometric Series
  • Exponential Series
  • Logarithmic Series
• Appendix 2: Mathematical Modelling
• Introduction
• Preliminaries