DTE Kerala LET Syllabus 2024 & Exam Pattern

• Single Variable Calculus and Infinite series, Basic ideas of infinite series and convergence
• Geometric series, Harmonic series, Convergence tests, comparison, ratio, root tests
• Alternating series, Leibnitz Test, Absolute convergence
• Maclaurins series, Taylor series, radius of convergence

• Partial derivatives and its applications
• Partial derivatives of functions of more than two variables
• Higher order partial derivatives, differentiability
• Differentials and local linearity
• Maxima and Minima of functions of two variables
• Extreme value theorem relative extrema

• Calculus of vector valued functions
• Introduction to vector valued functions, parametric curves in 3-space
• Limits and continuity, derivatives, tangent lines, derivative of dot and cross product
• Definite integrals of vector valued functions, unit tangent, acceleration and speed
• Normal and tangential components of acceleration
• Directional derivatives and gradients-tangent planes and normal vectors

• Multiple integrals, Double integrals, Evaluation of double integrals
• Double integrals in nonrectangular coordinates reversing the order of integration
• Area calculated as a double integral
• Triple integrals (Cartesian co-ordinates only), volume calculated as a triple integral

• Topics in vector calculus
• Vector and scalar fields, Gradient fields
• conservative fields and potential functions
• Line integrals, work as a line integral
• Independence of path conservative vector field

• Topics in vector calculus
• Green’s Theorem, surface integrals
• Divergence Theorem, Stokes’ Theorem

Combined motion of rotation and translation – Concepts of instantaneous centre – Motion of connecting rod of piston and crank of reciprocating pump.

Rectilinear translation – Newton’s second law – D’Alembert’s Principle – Application to connected bodies.

Simple and harmonic motion – Spring-mass model – Period – Stiffness – Frequency – Simple numerical problems of single degree of freedom.

• Introduction to digital computer – Von Neumann  concept
• A  simple model  of computer,  acquisition  of data, storage of data, processing of data, output of processed  data
• Details of functional units of a computer
• Storage – primary storage and secondary  storag
• Introduction to programming  languages, types  of  programming languages
• System software, Operating  systems

• Problem Solving strategies, Problem analysis, formal definition of problem
• Solution top down design breaking a problem into sub problems
• Overview of the solution to the sub problems by writing step by step procedure (algorithm)
• Representation of procedure by flowchart
• Implementation of algorithms, use of procedures to achieve modularity

• Introduction to Python

• Functions, calling functions, type conversion and coercion,  composition  of functions
• Mathematical  functions, user-defined  functions, parameters  and arguments

• Strings and lists – string traversal and comparison with examples
• Tuples and dictionaries – operations and examples 

• Files and exceptions – text files, directories
• Introduction to classes and objects – attributes, instances

• General introduction to Civil Engineering
• History of civil Engineering
• Relevance of civil Engineering in the overall infrastructural development of the country
• Types and classification of structures – buildings, towers, chimneys, bridges, dams, retaining walls, water tanks, silos, roads, railways, runways and pipelines
• Definition and types of buildings as per National Building Code of India
• Selection of site-Components of a building and their functions- setting out of a building

• Stones: Classification of stones-Qualities of good building stones-Quarrying-Dressing-TestsSpecifications-Uses of common building stones
• Bricks: Composition of good brick earth – Classification-Qualities of good bricks –Field and laboratory tests-specifications
• Tiles: Classification-Manufacture-properties-Tests-Specifications

• Cement: Basic Ingredients- Manufacturing process- Grades- Properties-Tests Specifications
• Aggregates: Fine and coarse aggregate- Properties – uses-Tests
• Cement Mortar: Types and preparation

• Stone Masonry: Types-Details of Ashlars, Random Rubble, Coarse Rubble and Dry Rubble Masonry
• Brick Masonry: Types – Bond-Introduction to all types of Bonds – English bond in detail  – Comparison of stone and brick masonry

• Timber : Properties-Uses-Classification-Seasoning-Defects-Preservation-Tests
• Hard board and particle board –Manufacture and use
• Steel: structural steel and steel as reinforcement- Types- Properties-Uses – Market forms

• Floors and Flooring materials: Different types and selection of floors and floor coverings
• Roofs and roof coverings: Different types of roofs, Suitability, Types and selection of roofing materials

• Thermodynamics: Nature and scope of thermodynamics; basic concept
• Laws of Thermodynamics, Discovery Significance and Applications
• Qualitative ideas on Entropy, Available Energy ,Irreversibility, Principle of increase of Entropy& Carnot engine
• Limitations of Thermodynamics; Source of power; history of power production; power production in the future

• Thermal Engineering
• Historical development of steam engine ,steam turbines, gas turbines and hydraulic turbines
• Principle of turbomachinary; History of IC engines; two stroke and four stroke engines-working, applications
• Air compressors-types and uses
• Principles of Rocket propulsion, chemical rockets, Indian space programme

• Refrigeration and air conditioning
• History & Scope of refrigeration; applications of refrigeration
• Food preservation, refrigerated storage; applications in chemical and process industries; special applications; Air conditioning
• Principles & system; scope of air conditioning
• Psychometric properties of air; Human comfort standards

• Automobiles & Aeronautical Engineering
• Introduction to an Automobile; history of the automobile; Indian automobiles
• Types of automobiles; Major components and their functions
• Manufactures of motor vehicles in India
• Fundamentals of aerodynamics; drag force and lift force; jet engines types and applications

• Engineering and Materials
• Introduction and history of materials
• Basic crystallography; metals, alloys composites, ceramic, polymers; mechanical properties and testing of engineering materials

• Manufacturing Engineering: Methods of manufacturing; casting, forging, rolling extrusion; machining operations-turning, milling, drilling, grinding, shaping, planning
• Joining operations- soldering, brazing& welding
• Introduction to CNC machines; examples of typical products manufactured by above methods

Resonance in series and parallel circuits

Energy, bandwidth and quality factor, variation of impedance and admittance in series and parallel resonant circuits.

Specification parameters of diodes and numbering.

Zener diode, Varactor diodes, characteristics, working principle of LED, photo diode, solar cell.

Waves: One dimensional waves-Differential equation& its solution. Transverse vibration of stretched string.

Diffraction Fresnel and Fraunhofer diffraction. Fraunhofer diffraction at single slit. Plane transmission grating. Grating equation-measurement of wavelength , Rayleigh’s criterion for resolution of grating-Resolving power and dispersive power of grating.

Super conductivity: Superconducting phenomena. Meissen effect. Type-I and Type II superconductors. BCS theory. High temperature super conductors-Application of super conductors.

Statistical Mechanics: Microstates and Microstates. Phase space.Basic postulates of MaxwellBoltzmann. Boltzmann, Bose-Einstein and Femi Diarc statistics. Distribution equation in the three cases. Femi Level and its significance.

Ultrasonic’s: Production of Ultrasonic waves- Magnetostriction effect and Piezoelectic effect- Magnetostrictionj oscillator and Piezoelectric oscillator-Detection of ultrasonic’s-Thermal and piezoelectric methods-Applications of ultrasonics – -NDT and medical.

Photonics: Basics of solid state lighting-LED-Photo detectors-photo voltaic cell, junction & avalanche photo diodes, photo transistors, thermal; detectors, Solar cells-I-V characteristicsOptic fiber-Principle of propagation-numerical aperture-optic communication system-Industrial, medical and technological applications of optical fiber. Fiber optic sensors-Basics of Intensity modulated and phase modulated sensors.

UV-visible spectroscopy – Principle, Instrumentation and application.

IR spectroscopy- Principle and application.

HNMR spectroscopy-Principle, chemical shift-spin-spin splitting and application including MRI, Spectral Problems.

Nernst equation – Derivation, application & numericals.  Potentiometric titration – Acid-base and redox titration Lithium ion cell and Fuel cell.

Chromatographic methods – Basic principles, column, TLC. Instrumentation and principles of GC and HPLC.

Conductivity – Measurement of conductivity

Conducting Polymers – Polyaniline, Polypyrrole – Preparation, Structure and Properties.

OLED – An introduction

Advanced Polymers – Kevlar, Polybutadiene rubber and silicone rubber: Preparation, Structure and Properties.

Nanomaterials – Definition, Classification, chemical methods preparation- hydrolysis and reduction

Properties and Applications – Carbon Nano Tubes and fullerenes.  

Biodiesel – Natural gas.

Lubricant – Introduction, solid, semisolid and liquid lubricants.

Properties of lubricants – Viscosity Index, Flash point, Fire point, Cloud point, Pour point and Aniline point.

Water softening methods – Ion exchange process – Principle. Polymer ion exchange.  Reverse Osmosis – Disinfection method by chlorination and UV  Dissolved oxygen, BOD and COD.

Sewage water Treatment – Trickling Filter and UASB process.