Module 1: Exploring the subject matter of Economics

What is Economics? Definitions – Importance of Economics for Engineers – Schools of thought The Economic Problem – Scarcity and Choice – Resource allocation – the question of What to produce, How to Produce and How to Distribute Output – its nature and Importance in developing countries – Economic Systems – Basics of Capitalism, Socialism, Mixed Economy, Market Economy and Third World Economies. Is Economics a Science? Distinction between Micro and Macro Economics.

Sketching functions, Gaussian integrals, Stirling's formula, Generalised functions: Step function, Dirac delta function, properties of delta function,

Vectors and Tensors: Cartesian tensors, covariant and contravariant components of a vector, covariant and contravariant tensor, mixed tensor, metric tensor, contraction, rotations and index notation, Isotropic tensors: Kronecker delta, Levi-Civita symbol, Gram determinant. Rotations in three dimensions, Proper and improper rotations, scalars and pseudoscalars; polar and axial vectors.

DC Circuit Analysis: Network Theorems - Thevenin’s theorem, Norton’s theorem, Superposition theorem, Maximum power transfer theorem.
AC Circuit Analysis: Basic concepts of AC circuits – RMS value and average value – Behavior of resistor, capacitor and inductor in AC circuits – Sinusoidal steady state analysis of AC circuits – Power – Power factor - Resonance in AC circuits.

Introduction To Magnetic Theory

• Determination of total hardness of water

• The Nernst equation 

• Potentiometry

 • Conductometry

 • Determination of phosphoric acid content in soft drink

 • Determination of chloride content in water

 • Validation of Ostwald’s dilution law and solubility product

 • Kinetics of acid hydrolysis of ester

 • Kinetics of sucrose inversion

 • Preparation of polymers

 • Determination of molecular weight of polymers

 • Metallography of steels

Introduction and importance of Engineering Graphics – sheet layout and free-hand sketching– lines, lettering and dimensioning – geometrical constructions – engineering curves – ortho-graphic projection – first angle and third angle projections – projection of points, straight lines and planes – projection of simple solids – sections of solids – development of surfaces – iso-metric projection – introduction to AutoCAD – creation of simple 2D drawings.

Time complexity analysis. Big-Oh, Big-Omega, and Big-Theta notations. Data Types, ADTs, Various types of ADTs such as List, Set Ques, circular queue, trees, graphs etc.2-3 tree, red-black trees, binary trees, search trees, n-ary trees. Graph traversals, searching on graph, BFS, DFS, Spanning Tree, Minimum Spanning Tree, paths, shortest paths, TSP. Data structures for maintaining ranges, intervals and disjoint sets with applications. Binary heap, binomial and fibonacci heaps, skip lists, Hashing, universal hashing, integer sorting algorithms with analysis.

Introduction to Linux – introduction to programming – basic elements of a program, variables, values, types, assignment – expressions and control flow – iteration and loop design, arrays, for loop, functions, parameters, recursion – object-oriented paradigm, objects, classes, inheritance, reusability, polymorphism, overloading, libraries, containers, classes for file handling, parameter passing and pointers, linking, shell commands, data structures, linked list, stack, queue – applications.

Study of general purpose hand tools in workshop
Assembly and disassembly practices of the following models
–  Gear box assembly

–  Centrifugal pump assembly along with shaft alignment practice

–  Cam and follower mechanisms assembly

–  Transducer (sensor) trainer

Experiments on different basic machines
– Turning exercise – straight turning, taper turning, thread cutting practice

–  Welding practice – arc welding

–  Fitting practice – models with marking and drilling exercises

Wiring and Soldering practices

Damped driven oscillator
Waves and oscillation
Modulus of elasticity
Surface tension
Moment of inertia and angular acceleration
Faraday’s law of induction
Biot-Savarts law
Ratio of electronic charge to mass
Brewster’s angle and Malu’s law
Earth’s magnetic field
Charge of an electron

Functional English: conversation skills – asking questions, requests, doubts, engage in conversation – different types of communication-verbal and non-verbal, body language.

Teaching Grammar: grammar games, exercise. Teaching Vocabulary: Language games, exercise.

Reading and appreciating stories, poems, essays – listening and appreciating video lectures – comprehensive questions and answers.