Chapter 1: Sets

Understand the concept of sets

Know the different types of sets (finite, infinite, empty)

Be able to perform operations on sets (union, intersection, difference)

Solve problems involving sets

Chapter 2: Relations and Functions

Define relations and functions

Understand the types of relations (reflexive, symmetric, transitive)

Identify the types of functions (one-to-one, onto)

Solve problems involving relations and functions

Chapter 3: Trigonometry

Understand trigonometric ratios

Know the trigonometric identities

Solve trigonometric equations

Apply trigonometry to solve real-life problems

Chapter 4: Principle of Mathematical Induction

Understand the principle of mathematical induction

Apply mathematical induction to prove statements

Solve problems using mathematical induction

Chapter 5: Complex Numbers and Quadratic Equations

Define complex numbers

Understand the properties of complex numbers

Solve quadratic equations using complex numbers

Apply complex numbers to solve problems

Chapter 6: Linear Inequalities

Define linear inequalities

Solve linear inequalities

Graph linear inequalities on a coordinate plane

Apply linear inequalities to solve problems

Chapter 7: Permutations and Combinations

Define permutations and combinations

Calculate permutations and combinations

Solve problems involving permutations and combinations

Apply permutations and combinations to solve problems

Chapter 8: Binomial Theorem

Understand the binomial theorem

Calculate binomial coefficients

Expand binomial expressions using the binomial theorem

Apply the binomial theorem to solve problems

Chapter 9: Sequences and Series

Define arithmetic and geometric sequences

Calculate the sum of arithmetic and geometric series

Solve problems involving sequences and series

Apply sequences and series to real-life situations

Chapter 10: Straight Lines

Define straight lines

Calculate the equation of a straight line

Find the slope and intercept of a straight line

Solve problems involving straight lines

Chapter 11: Conic Sections

Define conic sections

Identify the different types of conic sections (circle, ellipse, parabola, hyperbola)

Calculate the equations of conic sections

Apply conic sections to solve problems

Chapter 12: Introduction to Three Dimensional Geometry

Define three-dimensional geometry

Identify the coordinates of points in three-dimensional space

Calculate the distance between two points in three-dimensional space

Solve problems involving three-dimensional geometry

Chapter 13: Limits and Derivatives

Understand the concept of limits

Calculate limits of functions

Define derivatives

Find the derivative of functions using different rules

Chapter 14: Mathematical Reasoning

Understand mathematical reasoning

Identify the different types of reasoning (deductive, inductive)

Apply mathematical reasoning to solve problems

Solve problems involving mathematical reasoning

Chapter 15: Statistics

Define statistics

Calculate measures of central tendency (mean, median, mode)

Calculate measures of dispersion (range, variance, standard deviation)

Apply statistics to real-life situations

Chapter 16: Probability

Define probability

Calculate the probability of events

Use probability rules (addition rule, multiplication rule)

Solve problems involving probability