Karnataka DCET 2024 Syllabus: Exam Pattern, Marks Distribution

Unit 1

Matrices and Determinants: Basic concepts of Matrices(Addition, Subtraction and Multiplication), Determinants

Unit 2

Vectors: Magnitude of a vector, Position vector, Expression of vector in terms of position vectors

Unit 3

Probability: Random experiments, sample space, events, types of events, Algebra of events, complimentary event and so on

Unit 4

Trigonometry: Signs of Trigonometric ratios, Trigonometric ratios of Allied Angles in terms of θ

Unit 5

Complex numbers: Definition of a complex number. Conjugate of a complex number

Unit 6

Limits: Evaluation of limit of functions by factorization, rationalization, limits 

Unit 7

Straight Lines: Problems on different forms of equations of straight lines 

Unit 8

Differentiation: Problems on the function of a function and inverse trigonometric functions

Unit 9 

Applications of Differentiation

Unit 10

Integral Calculus: Rules of integration and problems

Unit 11                  

Definite Integrals: Simple problems on definite integrals. Problems on applications of definite integrals such as area and volume. 

Unit 1:

Mechanics 

• Unit , types of units, SI unit- Basic and Supplementary units, advantages 
• Measuring instruments: Vernier callipers-principle and least count
• Scalars and vectors: scalar and vector with an example, resultant, equilibrium, equilibrant

• Parallel forces: Types of parallel forces, a moment of force, couple, a moment of the couple ,simple problems on moment of force.

Unit 2: Properties of Solids and Liquids

• Properties of solids: Deforming force, elasticity and plasticity with examples

• Properties of Liquids:  Thrust and pressure, the expression for pressure at a point inside the liquid at rest-simple problems.
• Surface tension:  Cohesive and Adhesive forces with examples
• Viscosity: Expression for co-efficient of viscosity

Unit 3: Heat and Properties of Gases

• Concept of Heat and Temperature: Specific Heat of substance
• Transmission of Heat: Conduction, convection and radiation with example
• Gas Laws: Boyle’s law, Charle’s law and Gay-Lussac’s law with example

Unit 4: Wave Motion

• Simple Harmonic Motion: Periodic motion with example
• Wave: Wave motion, wave period, wave frequency, wave amplitude, wave length and wave velocity etc.
• Propagation of sound waves in air: Newton - Laplace’s formula for the velocity of sound in air and various factors affecting the velocity of sound in air.
• Vibrations: Free vibration, forced vibration and resonance with example
• Stationary waves: Stationary waves and its characteristics

Unit 5: Modern Physics 

• Electromagnetic waves: Electromagnetic waves and their properties
• Laser: Properties of  laser and its applications
• Nano-technology: Advantages and dis-advantages of nanotechnology
• Communication system: Advantages and disadvantages of satellite communication system
• Optical fibre: Principle and its applications

Unit 6: Industrial Chemistry

• Electrolysis: Electrolyte, types of electrolyte with example
• Corrosion: Conditions and preventive methods of corrosion
• Batteries: Battery, classification and its application
• Fuel cells: Fuel cell, types and advantages of fuel cells
• Metallurgy: Definition of mineral, ore, flux, slag and alloys
• Polymers: It's types, application of polymers
• Composite materials: Advantages and dis-advantages of composite material
• pH Value: pH value of a solution,  pH scale, application of pH in different fields

Applied Science

Applied Mathematics

Engineering (All Courses)