As you want syllabus of WBJEE Entrance Exam for admission in Engineering Course, so here is complete syllabus:

WBJEE Entrance Exam Syllabus for Engineering Courses

Chemistry
Atoms, Molecules and Chemical Arithmetic
Atomic Structure
The Periodic Table and Chemical Families
Chemical Bonding and Molecular Structure
Solid State
Liquid State
Chemical Energetics and Chemical Dynamics
Physical Chemistry of Solutions
Chemistry of Non-Metallic Elements and their Compounds:
Chemistry in Industry
Polymers
Environmental Chemistry
Aliphatic Compounds
Alcohols
Carboxylic Acids
Aliphatic Amines
Application Oriented chemistry
Principles of Qualitative Analysis
Radioactivity and Nuclear Chemistry
Gaseous State
Hydrogen
Coordination Compounds
Chemistry of Metals
Chemistry of Carbon Compounds
Ionic and Redox Equilibria
Surface Chemistry
Aromatic Compounds
Introduction to Bio-Molecules
Aldehydes and Ketones
Haloalkanes and Haloarenes
Ethers

Mathematics
Algebra
A.P., G.P., H.P.
Complex Numbers
Permutation and combination
Matrices
Statistics and Probability
Trigonometry
Calculus
Integral calculus
Vectors
Logarithms
Principle of mathematical induction
Sets, Relations and Mappings
Coordinate geometry of three dimensions
Quadratic Equations
Application of Calculus
Second order derivative.
Differential calculus

Physics
Kinematics
Work, power, energy
Viscosity Thermodynamics
Oscillations & Waves
Current Electricity
Magnetics
Nuclear Physics
Solid state Electronics
Physical World, Measurements, Units & dimensions
Gravitation
Electrostatics
Laws of motion
Kinetic theory of gases
Atomic Physics
Magnetic effect of current
Electromagnetic waves