COMEDK UGET 2023 Syllabus 

Unit Name 

Chapters 

Differential Equations

• Differential Equations, Ordinary Differential Equation – Their Order and Degree
• Formation of Differential Equations
• Solution of Differential Equations by the Method of Separation of Variables.
• Solution of Homogeneous and Linear Differential Equations and those of type d2y = f(x) dx2.

Differential Calculus

• Polynomials, Rational, Trigonometric, Logarithmic and Exponential Functions
• Inverse Functions
• Graphs of Simple Functions
• Limits
• Continuity: Differentiation of the Sum, Difference, Product and Quotient of Two Functions
• Differentiation of Trigonometric, Inverse Trigonometric, Logarithmic, Exponential, Composite and Implicit Functions, Derivatives of Order Up to Two.
• Applications of Derivatives: Rate of Change of Quantities, Monotonic Increasing and Decreasing Functions, Maxims and Minimum Functions of One Variable, Tangents and Normals, Rolle’s and Lagrange’s Mean Value Theorems.

Vector Algebra

• Vectors and Scalars
• Addition of Vectors
• Components of a Vector in Two Dimensions and Three Dimensional Space
• Scalar and Vector Products
• Scalar and Vector Triple Product
• Application of Vectors to Plane Geometry

Matrices and Determinants

• Determinants and Matrices of Order Two and Three
• Properties of Determinants
• Evaluation of Determinants
• Area of Triangles Using Determinants
• Addition and Multiplication of Matrices
• Adjoint and Inverse of Matrix
• Test of Consistency and Solution of Similar Linear Equations using Determinants and Matrices.

Circles

• Standard Form of Equation of a Circle
• General Form of Equation of a Circle, its radius and centre
• Equation of a Circle when the End Points of a Diameter are Given.
• Points of Intersection of a Line and a Circle with the Centre at the Origin and Conditions for a Line to be Tangent to the Circle
• Equation of the Tangent
• Equation of a Family of Circles through the Intersection of Two Circles
• Condition for Two Intersecting Circles to be Orthogonal.

Three Dimensional Geometry

• Coordinates of a Point in Space
• Distance Between Two Points
• Section Formula
• Direction Ratios and Direction Cosines
• The angle between Two Intersecting Lines
• Skew Lines – The Shortest Distance between them and its Equation.
• Equations of a Line and a Plane in Different Forms: Intersection of a Line and a Plane, Coplanar Lines, Equation of a Sphere, It’s Centre and Radius.
• Diameter form of the Equation of a Sphere.

Probability

• Probability of an Event
• Addition and Multiplication Theorems of Probability and their Application
• Conditional Probability: Bayes Theorem
• Probability Distribution of a Random Variate
• Binomial and Poisson Distributions and their Properties.

Unit Name 

Chapter 

Motion in Two and Three Dimensions

• 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

Heat and Thermodynamics

• Thermal Expansion of Solids
• Liquids and Gases and their Specific Heats
• Relationship between Cp and Cv for Gases
• First Law of Thermodynamics
• Thermodynamic Processes
• Second Law of Thermodynamics
• Carnot Cycle Efficiency of Heat Engines

Oscillations

• 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 – it’s unit and conservation
• Coulomb’s Law
• Dielectric Constant
• Electric Field
• Lines of Force
• Field due to Dipole and its behaviour 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 in One Dimension

• Description of Motion in One Dimension Motion in a Straight Line
• Uniform and Non-Uniform Motion – Graphical Representation
• Uniformly Accelerated Motion and its application.

Unit Name 

Chapter 

Chemical Reactions and Chemical Kinetics

• Rate of Reaction
• Instantaneous Rate of Reaction and Order of Reaction
• Factors Affecting Rates of Reactions – Factors Affecting the Rate of Collisions Encountered Between the Reactant Molecules, Effect of Temperature on Reaction Rate, Concept of Activation Energy Catalyst.
• Effect of Light of Rates of Reactions.
• Elementary Reactions as Steps to more Complex Reactions.
• How Fast are Chemical Reactions?
• Rate Law Expression
• Order of a Reaction
• Units of Rates and Specific Rate Constant
• Order of Reaction and Effect of Concentration
• Temperature Dependence of the Rate Constant
• Fast Reactions
• Mechanism of Reaction
• Photochemical Reactions

Biomolecules

• Cell and Energy Cycle Carbohydrates: Carbohydrates, Mono-saccharides, Saccharides, Poly-saccharides, Amino Acid
• Peptides – Structure and Classification
• Proteins and Enzymes – Structure of Proteins, Role of Enzymes.

Nuclear Chemistry

• Nature of Radiation from Radioactive Substances
• Nuclear Reactions: Radioactive Disintegration Series
• Artificial Transmutation of Elements
• Nuclear Fission and Nuclear Fusion
• Isotopes and their Applications
• Radiocarbon Dating

Polymers

• Synthetic and Natural Polymers Classification on Polymers
• Natural and Synthetic Polymers
• Important Uses of Teflon, PVC, Polystyrene, Nylon-66, Terylene, Bakelite.

Coordination Chemistry

• Coordination Compounds
• Nomenclature: Isomerism in Coordination Compounds, Bonding in Coordination Compounds, Werner’s Coordination Theory
• Applications of Coordination Compounds

Chemistry in Action

• Dyes
• Chemical in Medicines (antipyretic, analgesic, antibiotics & tranquillizers)
• Rocket Propellants (Structural Formulae Non – Evaluative)

Environmental Chemistry

• Environmental Pollutants: Soil, Air and Water
• Major Atmospheric Pollutants: Acid Rain, Ozone and its Reactions causing Ozone Layer Depletion, Effects of Depletion of Ozone Layer, Industrial Air Pollution.