DTE Kerala LET Syllabus 2021 – Download Pdf Now

· 1 mark will be deducted for every incorrect answer

· 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 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

· 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

· 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

· Vector and scalar fields, Gradient fields

· conservative fields and potential functions

· Line integrals, work as a line integral

· Independence of path conservative vector field

· 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.

· 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 storage

· Introduction to programming languages, types of programming languages

· System software, Operating systems

· 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

· Mathematical functions, user-defined functions, parameters and arguments

· Tuples and dictionaries – operations and examples

· Introduction to classes and objects – attributes, instances

· 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

· Bricks: Composition of good brick earth – Classification-Qualities of good bricks –Field and laboratory tests-specifications

· Tiles: Classification-Manufacture-properties-Tests-Specifications

· Aggregates: Fine and coarse aggregate- Properties – uses-Tests

· Cement Mortar: Types and preparation

· Brick Masonry: Types – Bond-Introduction to all types of Bonds – English bond in detail – Comparison of stone and brick masonry

· Hard board and particle board –Manufacture and use

· Steel: structural steel and steel as reinforcement- Types- Properties-Uses – Market forms

· Roofs and roof coverings: Different types of roofs, Suitability, Types and selection of roofing materials

· 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

· 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

· 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

· 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

· Introduction and history of materials

· Basic crystallography; metals, alloys composites, ceramic, polymers; mechanical properties and testing of engineering materials

· 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.