# First year engineering semester 1 syllabus

**First year engineering semester 1 syllabus – **The syllabus for the first year engineering F.E for Mumbai University Bachelors degree course has six main subjects and a practical workshop lab.This is an extremely hard year and being the first semester you need to work extra to clear these main subjects.Watch out for mechanics and Applied Maths 1 , they are absolute killers and if there is a high chance you will end up with ATKTs in F.E.

*IMPORTANT*

*Finish study of hard subject FIRST, easy subjects can be completed in 1 week time*

*DO NOT under any circumstances, try and cover all the topics here ,leave out 25% in all subjects,and the rest 75% be a master of it. If you try and be a hero ,you will fail.*

** **

Contents

## First year engineering semester 1 syllabus

## APPLIED MATHEMATICS 1

Module?1: Complex Numbers

Pre?requisite: Review of Complex Numbers?Algebra of Complex Number,

Different representations of a Complex number and other definitions,

D’Moivre’s Theorem.

1.1.Powers and Roots of Exponential and Trigonometric Functions.

1.2. Expansion of sinn ?, cosn ? in terms of sines and cosines of multiples

of ? and Expansion of sinn?, cosn? in powers of sin?, cos?

1.3.Circular functions of complex number and Hyperbolic functions.

Inverse Circular and Inverse Hyperbolic functions. Separation of real

and imaginary parts of all types of Functions.

3 hrs

2 hrs

4 hrs

2

Module?2:Logarithm of Complex Numbers , Successive Differentiation

2.1. Logarithmic functions, Separation of real and Imaginary parts of

Logarithmic Functions.

2.2. Successive differentiation: nth derivative of standard functions.

Leibnitz’s Theorem (without proof) and problems

4 hrs

4 hrs

3

Module?3:Matrices

Pre?requisite: Inverse of a matrix, addition, multiplication and transpose of a

matrix

3.1. Types of Matrices (symmetric, skew? symmetric, Hermitian, Skew

Hermitian, Unitary, Orthogonal Matrices and properties of Matrices). Rank

of a Matrix using Echelon forms, reduction to normal form, PAQ in normal

form, system of homogeneous and non –homogeneous equations, their

consistency and solutions. Linear dependent and independent

vectors. Application of inverse of a matrix to coding theory.

9 hrs

4

Module?4: Partial Differentiation

4.1. Partial Differentiation: Partial derivatives of first and higher order. Total

differentials, differentiation of composite and implicit functions.

4.2. Euler’s Theorem on Homogeneous functions with two and three

independent variables (with proof).Deductions from Euler’s Theorem

6 hrs

3 hrs

6

5

Module?5: Applications of Partial Differentiation , Expansion of

Functions

1.1 Maxima and Minima of a function of two independent variables,

Jacobian.

1.2 Taylor’s Theorem (Statement only) and Taylor’s series, Maclaurin’s

series (Statement only).Expansion of ???? , sin(x), cos(x), tan(x), sinh(x),

cosh(x), tanh(x), log(1+x), ???????1(??),???????1(??),???????1(??), Binomial

series.

4 hrs

4 hrs.

6

Module?6: Indeterminate forms, Numerical Solutions

of Transcendental Equations and System of Linear Equations

6.1. Indeterminate forms, L? Hospital Rule, problems involving

series.

6.2. Solution of Transcendental Equations: Solution by Newton Raphson

method and Regula –Falsi Equation.

6.3. Solution of system of linear algebraic equations, by (1) Gauss

Elimination Method, (2) Gauss Jacobi Iteration Method, (3) Gauss Seidal

Iteration Method. (Scilab programming for above methods is to be

taught during lecture hours)

## APPLIED PHYSICS 1

CRYSTAL STRUCTURE

Introduction to crystallography; Study of characteristics of unit cell of

Diamond, ZnS, NaCl and HCP; Miller indices of crystallographic planes &

directions; interplanar spacing; X-ray diffraction and Bragg’s law;

Determination of Crystal structure using Bragg’s diffractometer; Frenkel and

Schotkey crystal defects; Ionic crystal legancy (3,4,6,8); Liquid crystal phases.

07 hrs

Module 2 QUANTUM MECHANICS

Introduction, Wave particle duality; de Broglie wavelength; experimental

verification of de Broglie theory; properties of matter waves; wave packet,

phase velocity and group velocity; Wave function; Physical interpretation of

09 hr

Subject

Code

Subject

Name

Examination Scheme

Theory

Term

Work Practical Oral Total Internal Assessment End SEM.

Exam. Test

1

Test

2

Average of

Test 1 & 2

FEC102 Applied

Physics-I

15 15 15 60 25 – – 100

9

wave function; Heisenberg’s uncertainty principle; Electron diffraction

experiment and Gama ray microscope experiment; Applications of uncertainty

principle; Schrodinger’s time dependent wave equation; time independent

wave equation; Motion of free particle; Particle trapped in one dimensional

infinite potential well.

Module 3 SEMICONDUCTOR PHYSICS

Splitting of energy levels for band formation; Classification of

semiconductors(direct & indirect band gap, elemental and compound);

Conductivity, mobility, current density (drift & diffusion) in semiconductors(n

type and p type); Fermi Dirac distribution function; Fermi energy level in

intrinsic & extrinsic semiconductors; effect of impurity concentration and

temperature on fermi level; Fermi Level diagram for p-n junction(unbiased,

forward bais, reverse bias); Breakdown mechanism (zener & avalanchy), Hall

Effect

Applications of semiconductors: Rectifier diode, LED, Zener diode, Photo

diode, Photovoltaic cell, BJT, FET, SCR., MOSFET

14 hrs

Module 4 SUPERCONDUCTIVITY

Introduction, Meissner Effect; Type I and Type II superconductors; BCS

Theory (concept of Cooper pair); Josephson effect

Applications of superconductors- SQUID, MAGLEV

03 hrs

Module 5 ACOUSTICS

Conditions of good acoustics; Reflection of sound(reverberation and echo);

absorption of sound; absorption coefficient; Sabine’s formula; Acoustic Design

of a hall; Common Acoustic defects and acoustic materials

03 hrs

Module 6 ULTRASONICS

Ultrasonic Wave generation; Magnetostriction Oscillator; Piezoelectric

Oscillator;

Applications of ultrasonic: Eco sounding; NDT; ultrasonic

cleaning(cavitation); ultrasonic sensors; Industrial applications of

ultrasonic(soldering, welding, cutting, drilling)

## APPLIED CHEMISTRY 1

Water

Impurities in water, Hardness of water, Determination of Hardness of water by EDTA

method and problems, Softening of water by Hot and Cold lime Soda method and

numerical problems. Zeolite process and numerical problems. Ion Exchange process

and numerical problems. Potable water standard as per BIS w.r.t. i) pH, ii) Alkalinity,

iii) TDS, iv) Hardness; Drinking water or Municipal water -Treatments removal of

microorganisms by adding Bleaching powder, Chlorination (no breakpoint

chlorination), Disinfection by Ozone, Electrodialysis, Reverse osmosis, and Ultra

filtration. BOD, COD- definition & significance, sewage treatment (only activated

sludge process), Numerical problems related to COD.

12 hrs

Module 2 Polymers

Introduction to polymers, Classification, Types of polymerization, Thermoplastic and

Thermosetting plastic; Compounding of plastic,Fabrication of plastic by Compression,

Injection, Transfer and Extrusion moulding. Preparation, properties and uses of Phenol

formaldehyde, PMMA, Kevlar. Effect of heat on the polymers (Glass transition

temperature), Viscoelasticity. Conducting polymers, Engineering Plastics, Polymers in

medicine and surgery. Rubbers :

Natural rubber- latex, Drawbacks of natural rubber, Vulcanization of rubber,

12 hrs

Subject

Code Subject Name

Examination Scheme

Theory

Term

Work Practical Oral Total Internal Assessment End

SEM.

Exam.

Test

1

Test

2

Average of

Test 1 & 2

FEC103 Applied

Chemistry-I

15 15 15 60 25 – – 100

12

Preparation, properties and uses of Buna-S, Silicone and Polyurethane rubber.

Module 3 Lubricants

Introduction, Definition, Mechanism of lubrication, Classification of lubricants, Solid

lubricants (graphite & Molybdenum disulphide), Semisolid lubricants, Liquid

lubricants, Additives in blended Oils. Important properties of lubricants – Definition

and significance of – Viscosity, Viscosity index, Flash and fire points, Cloud and pour

points, Oiliness, Emulsification, Acid value and numerical problems, Saponification

value and numerical problems.

07 hrs

Module 4 Phase Rule

Gibb’s Phase Rule, Terms involved with examples, One Component System (Water),

Reduced Phase Rule, Two Component System (Pb- Ag), Advantages and Limitations

of Phase Rule.

04 hrs

Module 5 Important Engineering Materials

Cement – Manufacture of Portland Cement, Chemical Composition and Constitution of

Portland Cement, Setting and Hardening of Portland Cement, Concrete, RCC and

Decay.

Nanomaterials, preparation (Laser and CVD) method, properties and uses of CNTS,

Fullerene – properties and uses.

## ENGINEERING MECHANICS

1.1 System of Coplanar Forces:

Resultant of concurrent forces, parallel forces, non-concurrent

non-parallel system of forces, Moment of force about a point, Couples, Varignon’s

Theorem. Force couple system. Distributed Forces in plane.

1.2 Centroid for plane Laminas.

05

04

15

02 2.1Equilibrium of System of Coplanar Forces:

Condition of equilibrium for concurrent forces, parallel forces and non-concurrent

non-parallel general forces and Couples.

2.2Types of support: Loads, Beams, Determination of reactions at supports for

various types of loads on beams.(Excluding problems on internal hinges)

2.3Analysis of plane trusses: By using Method of joints and Method of

sections.(Excluding pin jointed frames)

06

03

05

03 3.1 Forces in space:

Resultant of Non-coplanar Force Systems: Resultant of concurrent force system,

parallel force system and non-concurrent non-parallel force system.

Equilibrium of Non-coplanar Force Systems: Equilibrium of Concurrent force

system, parallel force system and non-concurrent non-parallel force system.

3.2 Friction:

Introduction to Laws of friction, Cone of friction, Equilibrium of bodies on inclined

plane, Application to problems involving wedges, ladders.

3.3 Principle of virtual work:

Applications on equilibrium mechanisms, pin jointed frames.

05

07

04

04 4.1 Kinematics of a Particle: -Rectilinear motion, Velocity & acceleration in terms

of rectangular co-ordinate system, Motion along plane curved path, Tangential&

Normal component of acceleration, Motion curves (a-t, v-t, s-t curves), Projectile

motion.

10

05 5.1 Kinematics of a Rigid Body :- Introduction to general plane motion,

Instantaneous center of rotation for the velocity, velocity diagrams for bodies in plane

motion.

06

06 6.1 Kinetics of a Particle: Force and Acceleration: -Introduction to basic concepts,

D’Alemberts Principle, Equations of dynamic equilibrium, Newton’s second law of

motion.

6.2 Kinetics of a Particle: Work and Energy: Principle of work and energy, Law of

conservation of energy.

6.3 Kinetics of a Particle: Impulse and Momentum: Principle of linear impulse and

momentum. Law of conservation of momentum. Impact and collision.

## Basic Electrical engineering

DC Circuits(Only Independent Sources): Kirchhoff ’s laws, Ideal and

practical voltage and current source, Mesh and Nodal analysis, Supernode and

Supermesh analysis, Source transformation, Star-delta transformation,

Superposition theorem, Thevenin’s theorem, Norton’s theorem, Maximum

power transfer theorem, (Source transformation not allowed for Superposition

theorem, Mesh and Nodal analysis).

18

02

AC Circuits: Generation of alternating voltage and currents, RMS and Average

value, form factor, crest factor, AC through resistance, inductance and

capacitance, R-L, R-C and R-L-C series and parallel circuits, phasor diagrams,

power and power factor, series and parallel resonance, Q factor and bandwidth.

12

03

Three Phase Circuits: Three phase voltage and current generation, star and

delta connections(balanced load only), relationship between phase and line

currents and voltages, Phasor diagrams, Basic principle of wattmeter,

measurement of power by one and two wattmeter methods.

06

04

Single Phase Transformer: Construction, working principle, emf equation,

ideal and practical transformer, transformer on no load and on load, phasor

diagrams, equivalent circuit, OC and SC test, regulation and efficiency.

12

05 DC Machines: Principle of operation of DC motors and DC generators,

construction and classification of DC machines, emf equation.

## ENVIRONMENTAL STUDIES

Overview of Environmental Aspects:

• Definition, Scope and Importance of Environmental Study

• Need for Public awareness of environmental education

• Introduction to depletion of natural resources: Soil, Water, Minerals and

Forests.

• Global crisis related to – Population, water, sanitation & Land.

Ecosystem:

• Study of ecosystems: Forest, desert and aquatic (in brief).

• Energy flow in Ecosystem, overview of Food Chain, Food Web and

Ecological Pyramid.

• Concept of ecological succession and its impact on human beings (in brief).

Case Study on Chipko Movement (Uttarakhand, India), (began in 1973).

4

Module 2 Aspects of Sustainable Development:

• Concept and Definition of Sustainable Development.

• Social, Economical and Environmental aspects of sustainable development.

• Control measures: 3R (Reuse, Recovery, Recycle),

• Resource utilization as per the carrying capacity (in brief).

Case Study on Narmada Bachao Andolan (Gujarat, India, in the mid and late

1980s).

2

Module 3 Types of Pollution:

• Water pollution: Sources of water pollution and Treatment of Domestic and

industrial waste water (with flow-diagram of the treatment),

• Land Pollution: Solid waste, Solid waste management by land filling,

8

21

composting and incineration

• Air pollution: Sources of air pollution,

Consequences of air pollution :-

Greenhouse effect (Explanation with schematic diagram),

Photochemical Smog (Explanation with chemical reaction).

Cleaning of gaseous effluents to reduce air contaminants namely dust

particle or particulate matters by using:- (i) Electrostatic precipitators (ii)

Venturi scrubber (Schematic diagram and working).

• Noise pollution: Sources, effects, threshold limit for different areas and

control methods.

• E-Pollution: Definition, Sources and effects.

• Nuclear pollution: Sources and effects.

Case study on Water Pollution of Ganga River.

Case study on London smog (U. K.)(December, 1952).

Case Study of Fukushima Disaster (March, 2011).

Module 4 Pollution Control Legislation:

• Functions and powers of Central and State Pollution Control Board.

• Environmental Clearance, Consent and Authorization Mechanism.

Case Study of Dombivali MIDC- Boiler Blast Tragedy (Thane, Maharashtra,

India), (May, 2016).

3

Module 5 Renewable Sources of Energy:

• Importance of renewable sources of energy.

• Principle and working with schematic diagram of :-

(i) Solar Energy: (a) Flat plate collector and (b) Photovoltaic cell.

(ii) Wind Energy: Wind Turbines.

(iii) Hydropower: Hydropower generation from water reservoir of the dam.

(iv) Geothermal Energy: Utilisation of underground sources of steam for

power generation.

4

Module 6 Technological Advances to overcome Environmental problems:

• Concept of Green Buildings,

• Various indoor air pollutants and their effects on health.

• Carbon Credit: Introduction and general concept.

• Disaster Management: Techniques of Disaster Management to cope up with

(i) Earthquake and (ii) Flood.

Case Study on Earthquake in Latur (Maharashtra, India), (September,1993).

Case Study on Cloudburst and Landslides at Kedarnath (Uttarakhand, India),

(June, 2013)

How to solve mech kt

do all 100% theory+derivations, numericals can be hard so avoid