COMEDK UGET 2025 Syllabus

Maths

• Integration 
• Vector & 3D 
• Conic section 
• Differentiation 

• 5
• 5 - 6
• 6
• 5

Physics

• Gravitation 
• Electrostatistic 
• Modern physics 
• Optics 

• 3 - 4
• 4
• 5
• 5

Chemistry

• Organic chemistry 
• Solid state and solution 
• Chemical kinetics 
• Chemical bonding

• 10
• 4
• 2
• 2 - 3

Topics 

Chapters 

Heat & Thermodynamics 

Thermal expansion of solids. , Liquids, gases, and their specific heats, Relationship between Cp and Cv of Gases, The first law of thermodynamics, Thermodynamic processes,The second law of thermodynamics, Carnot Cycle Efficiency for Heat Engines 

Oscillation 

Heating Effects of Current, Electric Power , Simple Concept of Thermo-Electricity, Seebeck Effect and Thermocouple, Chemical Effect of Current Faraday's Laws of Electrolysis.

Electrostatics 

Electric Charge – its unit and conservation, Coulomb's Law, Dielectric Constant, Electric Field, Lines of Force, Field due to Dipole and its behavior in a uniform electric field, Electric Flux, Gauss's theorem, and its applications, Electric Potential, Potential due to a Point Charge, Conductors and Inductors, Distribution of Charge on Conductors, Capacitance, Parallel Plate Capacitor, Combination of Capacitors, Energy of Capacitor 

Thermal and Chemical effects of currents 

Heating Effects of Current , Electric Power, Simple Concept of Thermo-Electricity, Seebeck Effect and Thermocouple, Chemical Effect of Current Faraday's Laws of Electrolysis 

Motion 

Scalars and Vectors, Vector Addition, Real Number, Zero Vector and its Properties, Resolution of Vectors, Scalar and Vector Products, Uniform Circular Motion and its, Applications, Projection Motion.

Current & Electricity 

Electromagnetic induction and alternating currents 

Alternating Current 

Motion descriptions in two and three dimensions 

Physical world & measurement 

Kinetic Energy 

Units

Topics

Atomic Structure

Introduction to Atomic Structure, Atomic Models, Quantum Mechanical Model, Atomic Orbital Shapes, Electron Filling Rules, and Stability of Fully and Half-filled Orbitals.

Chemical Bonding

Chemical bond types include valence bond theory, molecular orbital theory, and hydrogen bonds.

States of Matter: Gases and Liquids

Intermolecular forces, laws governing the gaseous state, ideal behavior, deviation from ideal behavior, liquefaction of gases, liquid state

Thermodynamics

Thermodynamic terms, quantities, the first law of thermodynamics, thermochemistry, spontaneity, and the third law of thermodynamics.

Chemical Equilibrium

Introduction to Equilibrium, Equilibrium in Physical Processes, Equilibrium in Chemical Processes, Types of Chemical Equilibria, Applications of Equilibrium Constant, Factors Affecting Equilibrium, Ionic Equilibrium in Solution, Ionization of Acids and Bases, Buffer Solutions, Solubility Equilibria of Sparingly, Soluble Salts.

Solid State

Introduction to Solid State Chemistry, Classification of Solids by Order of Arrangement, Crystal Lattices and Unit Cells, Close Packing in Solids, Imperfections in Solids, Electrical Properties, and Magnetic Properties. 

Solutions

Introduction to solutions, types of solutions, expressing the concentration of solutions of solids in liquids, solubility, and vapor pressure of liquid solutions, Classification of Liquid-Liquid Solutions on the basis of Raoult's Law, Colligative Properties, Abnormal Molecular Mass.

Redox reactions and Electrochemistry

Oxidation and Reduction Reactions, Redox Reactions in Terms of Electron Transfer Reactions, Oxidation Number, Types of Redox Reactions, Redox Reaction Balancing, Electrochemical Cell Types, Electrolysis, Conductance in Electrolytic Solutions, and Corrosion.

Block & p-Block Elements and metallurgy

S-Block Elements Group 1 Elements & Group 2 Elements, P-Block Elements Group 13, 14, 15, 16, 17 and 18 Elements.

d and f - Block Elements and Coordination Compounds

d-Block elements, F-block elements, coordination compounds, IUPAC nomenclature of coordination compounds, Valence Bond Theory as Applied to Coordination Compounds, and the significance of coordination compounds.

Surface Chemistry

Adsorption on a Surface , Catalysis, Colloids.

Chemical Kinetics

Rate of Chemical Reaction, Factors Affecting Reaction Rate, Integrated Rate Equations, and Half-Life Temperature Dependence of Reaction Rates, Collision Theory.

Hydrocarbons, Haloalkanes, and Haloarenes

Carbon hybridization types include: Classification of Organic Compounds, IUPAC Nomenclature of Organic Compounds, Stereochemistry and Isomerism, Homolytic and Heterolytic Fission of a Covalent Bond, Basics of Organic Reaction, Electronic Displacements in a Covalent Bond, Aromaticity, Alkanes (Upto 5 Carbon Atoms), Alkenes (Upto 5 Carbon Atoms), Alkynes (Upto 5 Carbon Atoms), Arenes, Haloalkanes and haloarenes.

Oxygen containing Organic compounds

Structure, Preparation, and Properties of Alcohols, Phenols, and Ethers. Preparation of Ethers and Chemical Properties Physical, chemical, and practical applications of aldehydes and ketones, as well as carboxylic acids.

Nitrogen containing Organic compounds

Amine structure, preparation, physical and chemical properties, and diazonium salts.

Bio-Molecules and Polymers

Biomolecules, Polymers

Chemistry in Everyday life

Chemicals in Medicines, Food, and Hygiene (Soaps and Detergents)

Environmental Chemistry

Environmental, Pollution, Water Pollution, Industrial Pollution.

COMEDK Counselling 2024

COMEDK Model Test Paper 2024

Main Topics

Sub Topics

Sets

Sets and their Representations Empty set, Finite and Infinite sets, Equal sets, Subsets. Subsets of real numbers, particularly intervals (with notations). Power set. Universalset. Venn diagrams. Union and Intersection of sets

Relations and Functions

Ordered pairs. Cartesian product of sets. Number of elements in the Cartesian product of two finitesets. Cartesian product of the set of reals with itself. Definition of relation, pictorial diagrams, domain, co-domain and range of a relation. Function as a special type of relation. Pictorial representation of a function, domain, co-domain and range of a function. Real valued functions, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and greatest integer functions, with their graphs

Trigonometric Functions

Positive and negative angles. Measuring angles in radians and in degrees and conversion from one measure to another. Definition of trigonometric functions with the help of unit circle. Truth of the identity cos2 x + sin2 x = 1, for all x. Signs of trigonometric functions. Domain and range of trigonometric functions and their graphs. Expressing sin (x±y) and cos (x±y) in terms of sinx, siny, cosx & cosy and their simple applications

Complex numbers and Quadratic Equations

Need for complex numbers, especially √−1, to be motivated by inability to solve some of the quadratic equations. Algebraic properties of complex numbers. Statement of Fundamental Theorem of Algebra, solution of quadratic equations (with real coefficients) in the complex number system

Linear Inequalities

Algebraic solutions of linear inequalities in one variable and their representation on the number line. Graphical solution of linear inequalities in two variables. Graphical method of finding a solutionof system of linear inequalitiesin two variables

Permutations and Combinations

Fundamental principle of counting. Factorial n. (n!) Permutations and combinations, simple applications

Sequence and Series

Arithmetic Progression (A. P.). Arithmetic Mean (A.M.) Geometric Progression (G.P.), general term of a G.P., sum of n terms of a G.P., infinite G.P. and its sum, geometric mean (G.M.), relation between A.M. and G.M

Straight Lines

Brief recall of two dimensional geometry from earlier classes. Slope of a line and angle between two lines. Various forms of equations of a line: parallel to axis, point -slope form, slope-intercept form, two-point form,intercept form and normal form. General equation of a line. Distance of a point from a line

Conic Sections

Sections of a cone: circles, ellipse, parabola, hyperbola. Standard equations and simple properties of parabola, ellipse and hyperbola. Standard equation of a circle

Limits and Derivatives

Derivative introduced as rate of change both as that of distance function and geometrically. Intuitive idea of limit. Limits of polynomials and rational functions trigonometric, exponential and logarithmic functions. Definition of derivative relate it to scope of tangent of the curve, derivative of sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions

Statistics

Measures of Dispersion: Range, mean deviation, variance, and standard deviation of ungrouped/grouped data

Probability

Random experiments: outcomes, sample spaces (set representation). Events: occurrence of events, ‘not', ‘and' and ‘or' events, exhaustive events, mutually exclusive events. Probability of an event, probability of ‘not', ‘and' and ‘or' events

Relations and Functions

Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions

Inverse Trigonometric Functions

Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions

Matrices

Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew symmetric matrices. Operation on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication. On- commutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restrict to square matrices of order 2). Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries)

Determinants

Determinant of a square matrix (up to 3 x 3 matrices), minors, co-factors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix

Continuity and Differentiability

Continuity and differentiability, chain rule, derivative of inverse trigonometric functions like sin−1 ????, cos−1 ???? and tan−1 ????, derivative of implicit functions. Concept of exponential & logarithmic functions. Derivatives of logarithmic and exponential functions. Logarithmic differentiation, derivative of functions expressed in parametric forms. Second order derivatives

Applications of Derivatives

Applications of derivatives: rate of change of bodies, increasing/decreasing functions, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as real- life situations)

Integrals

Integration as inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts

Applications of Integrals

Applications in finding the area under simple curves, especially lines, circles/ parabolas/ellipses (in standard form only)

Differential Equations

Definition, order and degree, general and particular solutions of a differential equation. Solution of differential equations by method of separation of variables, solutions of homogeneous differential equations of first order and first degree

Vectors

Vectors and scalars, magnitude and direction of a vector. Direction cosines and direction ratios of a vector. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Definition, Geometrical Interpretation, properties and application of scalar (dot) product of vectors, vector (cross) product of vectors

Three- Dimensional Geometry

Direction cosines and direction ratios of a line joining two points. Cartesian equation and vector equation of a line, skew lines, shortest distance between two lines. Angle between two lines

Linear Programming

Introduction, related terminology such as constraints, objective function, optimization, graphical method of solution for problems in two variables, feasible and infeasible regions (bounded or unbounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints)

Probability

Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes' theorem, Random variable and its probability distribution, mean of random variable

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Subject 

Book Names

Author/Publisher

Best Books for Physics

Physics for Karnataka CET and COMEDK

BASE

Physics for Karnataka CET and COMEDK 

S. Dasharathi

Science for Everyone: Aptitude Test Problems in Physics

S.S. Krotov

Best Books for Chemistry

Chemistry for Karnataka CET and COMEDK

BASE

39 Years' Chapterwise Topicwise Solved Papers

Ranjeet Shahi

Chemistry for Karnataka CET and COMEDK

Dr. Sonar Maruti H.

Best Books for Mathematics

Mathematics for Karnataka CET and COMEDK

BASE

Mathematics for Karnataka CET and COMEDK

M.R. Hanumantharaya

Mathematics Class XI and XII

R.D. Sharma

Section 

Questions 

Duration 

Physics 

60 

60 

Chemistry 

60 

60 

Mathematics 

60 

60 

Total 

180 

180