**First Year Engineering Semester 2 Syllabus – **The second semester syllabus for Mumbai University engineering degree course is as bad as the first semester.There are wore subjects like engineering drawing that needs hundreds of hours of practice to clear as well as applied mathematics 2 that is worse than math 1 in many ways.Work extremely hard to avoid an ATKT in this semester.

Contents

## First Year Engineering Semester 2 Syllabus

APPLIED MATHEMATICS 2

Module?1: Differential Equations of First Order and First Degree

1.1 Exact differential Equations , Equations reducible to exact form by using

integrating factors.

1.2 Linear differential equations(Review), equation reducible to linear form,

Bernoulli’s equation.

1.3: Simple application of differential equation of first order and first degree to

electrical and Mechanical Engineering problem (no formulation of differential

equation)

4 hrs

3 hrs

2 hrs

2

Module?2: Linear Differential Equations With Constant Coefficients and

Variable Coefficients Of Higher Order

2.1. Linear Differential Equation with constant coefficient? complementary

function, particular integrals of differential equation of the type f(D)y = X

where X is ?????? , sin(ax+b), cos (ax+b), ????, ??????V, xV.

2.2. Cauchy’s homogeneous linear differential equation and Legendre’s

differential equation, Method of variation of parameters.

6 hrs.

3 hrs

3

Module?3: Numerical solution of ordinary differential equations of first

order and first degree, Beta and Gamma Function

3.1. (a)Taylor’s series method (b)Euler’s method

(c) Modified Euler method (d) Runga?Kutta fourth order formula (SciLab

programming is to be taught during lecture hours)

3.2 . Beta and Gamma functions and its properties.

4 hrs

4 hrs

4

Module ?4: Differentiation under Integral sign, Numerical Integration and

Rectification

4.1. Differentiation under integral sign with constant limits of integration.

4.2. Numerical integration? by (a) Trapezoidal (b) Simpson’s 1/3rd (c)

Simpson’s 3/8th rule (all with proof). (Scilab programming on (a) (b) (c) (d) is

to be taught during lecture hours)

4.3. Rectification of plane curves.

2 hrs

3 hrs

3 hrs

28

5.

Module?5: Double Integration

5.1. Double integration?definition, Evaluation of Double Integrals.

5.2. Change the order of integration, Evaluation of double integrals by

changing the order of integration and changing to polar form.

2 hrs

7 hrs

6.

Module?5: Triple Integration and Applications of Multiple Integrals.

6.1. Triple integration definition and evaluation (Cartesian, cylindrical and

spherical polar coordinates).

6.2. Application of double integrals to compute Area, Mass, Volume.

Application of triple integral to compute volume.

## APPLIED PHYSICS 2

INTERFERENCE AND DIFFRACTION OF LIGHT

Interference by division of amplitude and by division of wavefront; Interference in

thin film of constant thickness due to reflected and transmitted light; origin of

colours in thin film; Wedge shaped film(angle of wedge and thickness

measurement); Newton’s rings

Applications of interference – Determination of thickness of very thin wire or foil;

determination of refractive index of liquid; wavelength of incident light; radius of

curvature of lens; testing of surface flatness; Anti-reflecting films and Highly

reflecting film.

Diffraction of Light –Fraunhoffer diffraction at single slit, Fraunhoffer diffraction at

14 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

FEC202 Applied

Physics-II

15 15 15 60 25 – – 100

30

double slit, Diffraction Grating, Resolving power of a grating, dispersive power of a

grating

Application of Diffraction – Determination of wavelength of light with a plane

transmission grating

Module 2 LASERS

Quantum processes as absorption, spontaneous emission and stimulated emission;

metastablestates, population inversion, pumping, resonance cavity, Einsteins’s

equations; Helium Neon laser; Nd:YAG laser; Semiconductor laser,

Applications of laser- Holography (construction and reconstruction of holograms)

and industrial applications(cutting, welding etc), Applications in medical field

04hrs

Module 3 FIBRE OPTICS

Total internal reflection; Numerical Aperture; critical angle; angle of acceptance;

Vnumber; number of modes of propagation; types of optical fiber; Losses in optical

fibre(Attenuation and dispersion)

Applications of optical fibre – Fibre optic communication system; sensors (Pressure,

temperature, smoke, water level), applications in medical field

04 hrs

Module 4 ELECTRODYNAMICS

Cartesian, Cylindrical and Spherical Coordinate system, Scaler and Vector field,

Physical significance of gradient, curl and divergence, Determination of Maxwell’s

four equations.

Applications-design of antenna, wave guide, satellite communication etc.

08 hrs

Module 5 CHARGE PARTICLE IN ELECTRIC AND MAGNETIC FIELDS

Fundamentals of Electromagnetism, Motion of electron in electric field (parallel

,perpendicular, with some angle); Motion of electron in magnetic field

(Longitudinal and Transverse); Magnetic deflection; Motion of electron in crossed

field; Velocity Selector; Velocity Filter, Electron refraction; Bethe’s law;

Electrostatic focusing; Magnetostatic focusing; Cathode ray tube (CRT);Cathod ray

Oscilloscope (CRO)

Application of CRO: Voltage (dc,ac), frequency, phase measurement.

05 hrs

Module 6 NANOSCIENCE AND NANOTECHNOLOGY

Introduction to nano-science and nanotechnology, Surface to volume ratio, Two

main approaches in nanotechnology -Bottom up technique and top down technique;

Important tools in nanotechnology such as Scanning Electron Microscope,

Transmission Electron Microscope, Atomic Force Microscope.

Nano materials: Methods to synthesize nanomaterials (Ball milling, Sputtering,

Vapour deposition, solgel), properties and applications of nanomaterials.

## APPLIED CHEMISTRY 2

Corrosion:

Introduction: Types of Corrosion- (I) Dry or Chemical Corrosion-i) Due to oxygen ii)

Due to other gases (II) Wet or Electrochemical corrosion- Mechanism i) Evolution of

hydrogen type ii) Absorption of oxygen. Types of Electrochemical Corrosion- Galvanic

cell corrosion, Concentration cell corrosion (differential aeration), Pitting corrosion,

Intergranular corrosion, Stress corrosion. Factors affecting the rate of corrosion- Nature of

metal, position of metal in galvanic series, potential difference, overvoltage, relative area

of anodic and cathodic parts, purity of metal, nature of the corrosion product, temperature,

moisture, influence of pH, concentration of the electrolytes. Methods to decrease the rate

of corrosion- Material selection, Proper designing, Use of inhibitors, Cathodic protectioni)

Sacrificial anodic protection ii) Impressed current method, Anodic protection method,

Metallic coatings- hot dipping- galvanizing and tinning, metal cladding, metal spraying,

Electroplating, Cementation. Organic coatings – Paints (only constituents and their

functions).

11

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

FEC203 Applied

Chemistry-II

15 15 15 60 25 – – 100

33

Module 2 Alloys

Introduction, purpose of making alloys, Ferrous alloys, plain carbon steel, heat resisting

steels, stainless steels (corrosion resistant steels), effect of the alloying element- Ni, Cr,

Co, Mn, Mo,W and V;

Non-Ferrous alloys- Composition, properties and uses of- Alloys of Aluminium- i)

Duralumin ii) Magnalium. Alloys of Cu- (I) Brasses-i) Commercial brass ii) German

silver, (II) Bronzes- i) Gun metal ii) High phosphorous bronze. Alloys of Pb- i) Wood’s

metal ii) Tinmann’s solder. Powder Metallurgy- Introduction, (1)Methods of powder

metal formation- i) Mechanical pulverization ii) Atomization iii) Chemical reduction iv)

Electrolytic process v) Decomposition (2) Mixing and blending. (3) Sintering (4)

Compacting- i) Cold pressing ii) Powder injection moulding (iii) Hot compaction.

Applications of powder metallurgy.

Shape Memory Alloys- Definition, properties and Uses.

07

hrs

Module 3 Fuels

Definition, classification of fuels-solid, liquid and gaseous. Calorific value- Definition,

Gross or Higher calorific value & Net or lower calorific value, units of heat (no

conversions), Dulong’s formula & numerical for calculations of Gross and Net calorific

values. Characteristics of a good fuel.

Solid fuels- Analysis of coal- Proximate and Ultimate Analysis with Significance and

numericals.

Liquid fuels- Crude petroleum oil, its composition and classification and mining (in

brief). Refining of crude oil- i) Separation of water ii) Separation of ‘S’ & iii) Fractional

Distillation with diagram and composition and uses table.

Cracking- Definition, Types of crackingI)

Thermal cracking – (i) Liquid phase thermal cracking (ii) Vapour phase thermal

cracking. II) Catalytic cracking- (i) Fixed-bed catalytic cracking (ii) Moving-bed catalytic

cracking. Advantages of Catalytic cracking.

Petrol- Refining of petrol, unleaded petrol ( use of MTBE), Catalytic converter, Power

alcohol, Knocking, Octane number, Cetane number, Antiknocking agents.

Combustion- Calculations for requirement of only oxygen and air (by weight and by

volume only) for given solid & gaseous fuels.

Biodiesel- Method to obtain Biodiesel from vegetable oils (Trans-esterification),

advantage and disadvantages of biodiesel.

Fuel cell- Definition, types and applications.

12

hrs

Module 4 Composite Materials

Introduction, Constitution- i) Matrix phase ii) Dispersed phase. Characteristic properties

of composite materials. Classification- (A) Particle – reinforced composites- i) Large –

particle reinforced composites ii) Dispersion – strengthened composites. (B) Fiber –

reinforced composites- i) Continuous – aligned ii) Discontinuous – aligned (short)- (a)

aligned (b) randomly oriented (C) Structural Composites- i) Laminates (ii) Sandwich

Panels.

04

hrs

Module 5 Green Chemistry

Introduction, Twelve Principles of Green chemistry, numerical on atom economy,

Conventional and green synthesis of Adipic acid, Indigo, Ibuprofen and Carbaryl.

Green solvents (ionic liquid supercritical CO2) and products from natural materials.

ENGINEERING DRAWING

Introduction to Engineering Drawing:- Types of Lines, Dimensioning Systems as per IS

conventions.

Engineering Curves: Basic construction of Cycloid, Involutes and Helix (of cylinder) only.

** Introduction to Auto CAD:- Basic Drawing and Editing Commands. Knowledge of

setting up layers, Dimensioning, Hatching, plotting and Printing.

3

36

6) Use CAD tool to draw an isometric view.

**Should be covered during Auto CAD practical sessions.

@ Should be covered only in Term work. (i.e. Questions will not be asked for the End semester

Examination).

Term Work:

Component – 1

Drawing Sheet – 1: Projection of Solids (3 Problems)

Drawing Sheet – 2: Section of Solids and Development of lateral surfaces (2 Problems)

Drawing Sheet – 3: Orthographic Projection without section (2 Problems)

Drawing Sheet – 4: Orthographic Projection with section (2 Problems)

Drawing Sheet – 5: Isometric Views (3 Problems)

Component -2

One A-3 size sketch book consisting of:-

1) 2 problems each from Engineering Curves, Projection of Lines, Planes and Solids.

2) 2 problem from Section of solids and 1 problem from section of solids with Development of

lateral surface of that sectioned Solid.

2

Projection of Points and Lines:- Lines inclined to both the Reference Planes (Excluding

Traces of lines) and simple application based problems on Projection of lines.

@Projection of Planes:- Triangular, Square, Rectangular, Pentagonal, Hexagonal and

Circular planes inclined to either HP or VP only. (Exclude composite planes)

6

3

Projection of Solids: – (Prism, Pyramid, Cylinder, Tetrahedron, Hexahedron and Cone only)

Solid projection with the axis inclined to HP and VP. (Exclude Spheres, Composite, Hollow

solids and frustum of solids). Use change of position or Auxiliary plane method

Section of solids:- Section of Prism, Pyramid, Cylinder, Tetrahedron, Hexahedron & Cone

t b l di l t t l t f l ( E l d C d S ti Pl )

14

4

Orthographic projections:-

• Different views of a simple machine part as per the first angle projection method

recommended by I.S.

• Full or Half Sectional views of the Simple Machine parts

12

Isometric Views: Isometric View/Drawing of blocks of plain and cylindrical surfaces using

plain/natural scale only. (Exclude Spherical surfaces).

• **Drawing of Isometric views using Auto CAD.

• @Reading of Orthographic Projections. [Only for Practical Exam (AutoCAD)

and TW

## STRUCTURED PROGRAMMING APPROACH

1.1 Basics of Computer:

Turing Model, Von Neumann Model, Basics of Positional

Number System, Introduction to Operating System and component

of an Operating System.

1.2 Algorithm & Flowchart :

Three construct of Algorithm and flowchart: Sequence, Decision

(Selection) and Repetition

06

2 Fundamentals of

C-Programming

2.1 Character Set, Identifiers and keywords, Data types, Constants,

Variables.

2.2 Operators-Arithmetic, Relational and logical, Assignment,

Unary, Conditional, Bitwise, Comma, other operators.

Expression, statements, Library Functions, Preprocessor.

2.3 Data Input and Output – getchar( ), putchar( ), scanf( ), printf( ),

gets( ), puts( ), Structure of C program .

06

39

3 Control

Structures

3.1 Branching – If statement, If-else Statement, Multiway decision.

3.2 Looping – while , do-while, for

3.3 Nested control structure- Switch statement, Continue statement

Break statement, Goto statement.

12

4 Functions and

Parameter

4.1Function -Introduction of Function, Function Main, Defining a

Function, Accessing a Function, Function Prototype, Passing

Arguments to a Function, Recursion.

4.2 Storage Classes –Auto , Extern , Static, Register

06

5

Arrays , String

Structure and

Union

5.1 Array-Concepts, Declaration, Definition, Accessing array

element, One-dimensional and Multidimensional array.

5.2 String- Basic of String, Array of String , Functions in String.h

5.3 Structure- Declaration, Initialization, structure within structure,

Operation on structures, Array of Structure.

5.4 Union – Definition , Difference between structure and union ,

Operations on a union

14

6 Pointer and

Files

6.1 Pointer :Introduction, Definition and uses of Pointers, Address

Operator, Pointer Variables, Dereferencing Pointer, Void Pointer,

Pointer Arithmetic, Pointers to Pointers, Pointers and Array, Passing

Arrays to Function, Pointers and Function, Pointers and two

dimensional Array, Array of Pointers, Dynamic Memory Allocation.

6.2 Files: Types of File, File operation- Opening, Closing, Creating,

Reading, Processing File

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