Maths
1 – Sets, Relations and Functions
Introduction
Sets
Cartesian product
Constants and variables, intervals and neighbourhoods
Relations
Functions
Graphing functions using transformations
2 – Basic Algebra
Introduction
Real number system
Absolute value
Linear inequalities
Quadratic functions
Polynomial functions
Rational functions
Exponents and radicals
Logarithm
Application of algebra in real life
3 – Trigonometry
Introduction
A recall of basic results
Radian measure
Trigonometric functions and their properties
Trigonometric identities
Trigonometric equations
Properties of triangle
Application to triangle
Inverse trigonometric functions
4. Combinatorics and Mathematical Induction
Introduction
Fundamental principles of counting
Factorials
Permutations
Combinations
Mathematical induction
5. Binomial Theorem, Sequences And Series
Introduction
Binomial theorem
Particular cases of binomial theorem
Finite sequences
Finite series
Infinite sequences and series
6. Two Dimensional Analytical Geometry
Introduction
Locus of a point
Straight lines
Angle between two straight lines
Pair of straight lines
7 – Matrices and Determinants
Introduction
Matrices
Determinants
8 – Vector Algebra-I
Introduction
Scalars and vectors
Representation of a vector and types of vectors
Algebra of vectors
Position vectors
Resolution of vectors
Direction cosines and directon ratios
Product of vectors
9 – Differential Calculus – Limits and Continuity
Introduction
Limits
Continuity
10 – Differential Calculus –
Differentiability and Methods of Differentiation
Introduction
The concept of derivative
Differentiability and Continuity
Differentiation rules
11 – Integral Calculus
Introduction
Newton-Leibnitz integral
Basic rules of integration
Integrals of the form f(ax + b)
Properties of integrals
Simple applications
Methods of integrations
12 – Introduction to probability theory
Introduction
Basic definitions
Finite sample space
Probability
Some basic theorems on probability
Conditional probability
Total probability of an event
Bayes’ Theorem
Physics
- Nature of Physical World and Measurement
- Kinematics
- Laws of motion
- Work, Energy and Power
- Motion of System of Particles and Rigid Bodies
- Gravitation
- Properties of Matter
- Heat and Thermodynamics
- Kinetic Theory of Gases
- Oscillations
Chemistry
UNIT I
Basic Concepts of Chemistry and Chemical Calculations
UNIT 2
Quantum Mechanical Model of Atom
UNIT 3
Periodic Classification Of Elements
UNIT 4
Hydrogen
UNIT 5
Alkali and Alkaline Earth Metals
UNIT 6
Gaseous State
UNIT 7
Thermodynamics
UNIT 8
Physical and Chemical Equilibrium
UNIT 9
Solutions | Sketch notes |
UNIT 10
Chemical bonding
UNIT 11
Fundamentals of Organic Chemistry
UNIT 12
Basic concept of organic reactions
UNIT 13
Hydrocarbons
UNIT 14
Haloalkanes and Haloarenes
UNIT 15
Environmental Chemistry