Engineering Syllabus Mumbai University Revised

engineering syllabus mumbai university revised  SEMESTER 1


1.Subjects are arranged from Hard to Easy.

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

3.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.


Applied Mathematics -I

Complex numbers.

1.1.1 Review of complex numbers. Cartesian, Polar and

Exponential form of a complex number.

1.1.2 De Moiver’s Theorem (without proof). Powers and roots

of Exponential and Trigonometric functions.

1.1.3 Circular and Hyperbolic functions.

Complex numbers and successive differentiation.

1.2.1 Inverse circular and Inverse Hyperbolic Functions

Logarithmic functions

1.2.2 Separation of real and imaginary parts of all types of


1.2.3 Successive differentiation –nth derivative of standard

functions-eax, (ax=b)-1, (ax=b)m, (ax=b)-m, log (ax + b)

sin (ax + b) Cos (ax+b). eax sin (bx+c). eax cos (bx+c).

1.2.4 Leibnitz’s theorem (without proot) and problems.

Partial differentiation

1.3.1 Partial derivatives of first and higher order, total differential

coefficients, total differentials, differentiation of composite

and implicit functions.

1.3.2 Euler’s theorem on Homogeneous function with two and

three independent Variables (with proof), deductions from

Euler’s theorem.

Application of partial differentiation, Mean Value theorems

1.4.1 Errors and approximations. Maxima and Minima of a

function of two independent variables. Lagrange’s method

of undetermined multipliers with one constraint.

1.4.2 Rolle’s theorem, Lagrange’s mean value theorem,

Cauchy’s mean value theorem (all theorems without

proof). Geometrical interpretation and problems.

Vector algebra & Vector calculus

1.5.1 Vector triple product and product of four vectors.

1.5.2 Differentiation of a vector function of a single scalar

variable. Theorems on derivatives (without proof). curves

in space concept of a tangent vector (without problems)

1.5.3 Scalar point function and vector point function. Vector

differential operator del. Gradient, Divergence and curl-

definitions, Properties and problems. Applications-Normal,

directional derivatives, Solenoidal and lrrotational fields.

Infinite series, Expansion of functions and indeterminate forms.

1.6.1 Infinite series-Idea of convergence and divergence. D’

Alembert’s root test, Cauchy’s root test.

1.6.2 Taylor’s theorem (Without proof) Taylor’s series and

Maclaurin’s series (without proof) Expansion of standard

series such as ex, sinx, cosx, tanx, sinhx, coshx, tanhx,

log(1+x), sin-1x – tan-1x, binomial series, expansion of

functions in power series.

1.6.3 Indeterminate forms-

. sin 1 , , 0 , , 0 , ,

0 0 0 iesalso volvingser problem rule BHospitals x


x x


– ¥ ¥ – ¥ ¥

Engineering Mechanics

01 1.1 Systems of Coplanar Forces:-

Resultant of concurrent forces, parallel forces & Non concurrent Non parallel

system of forces. Moment of Force about any point, Couples, Varignon’s

Theorem. Distributed forces in plane.

1.2 Introduction to Centroid & Centre of Gravity, Introduction to Moment of

Inertia & its theorem.


02 2.1 Equilibrium of system of coplanar forces :-

Condition of equilibrium for concurrent forces, Parallel forces & Non

concurrent Non parallel general system of forces & couples.

2.2Types of supports, loads, beams. Determination of reactions at supports for

various types of loads on beams.

2.3 Analysis of plane trusses by using Method of Section and Method of


03 3.1 Friction :-

Introduction to laws of friction, Cone of friction, Equilibrium of bodies on

inclined plane. Application of problems involving wedges, ladders, screw


3.2 Belt friction: transmission of power by belts and ropes, centrifugal and

initial tension in the belts and ropes. Condition of maximum power

transmission. Flat belts and flat pulleys & ropes on grooved pulleys.

04 4.1 Kinematics of Particle:-

Velocity and acceleration in terms of rectangular coordinate system,

Rectilinear motion. Motion along plane curved path. Tangential and Normal

components of acceleration. Motion Curves (a-t, v-t, s-t curves). Projectile

motion. Relative motion.

05 5.1 Kinematics of Rigid Bodies

Introduction to general plane motion, Instantaneous center of rotation for the

velocity, velocity diagrams for bodies in plane motion,(up to two linkage


06 6.1 Kinetics of particles

Introduction of basic concepts., Newton’s second law, work energy principle,

D’Alembert’s principles, equation of dynamic equilibrium.

6.2 Moment of Energy principles: Linear momentum, principle of

conservation of momentum, Impact of solid bodies, direct and oblique

impact, impact of solid bodies, semi elastic impact and plastic impact.


Prerequisite A. Concepts of c.m.f, potential difference & current, battery.

B. Capacitors, with uniform & composite medium, energy

stored in a capacitor, R-C time constant.

C. Magnetic field, magnetic circuit, Faraday’s laws of

electromagnetic induction, Hysteresis & Eddy current losses,

energy stored in an inductor time constant in R-L Circuit.

1. DC circuits: (only independent sources).

Ohm’s law resistance, receptivity, series & parallel

connections, star delta transformation, power dissipation in

resistance, effect of temperature on resistance.

Kirchhoffs laws Mesh laws Mesh & Nodal analysis. Source

transformation, Superposition, Thevenin’s. Norton’s and

Maximum power transfer theorems.

2. AC circuits:

Generation of alternating voltage & currents, R.M.S. &

Average value form factor crest factor A.C. Through

resistance inductance & capacitance. R-L,R-C & R-L-C

series & parallel circuits, phasor diagrams. Power & power

factor, series & parallel resonance.

Problems by analytical as well as phical methods.

3. Three phase circuits:

Three phase voltage & current generation, star & delta

connections (balanced load), relationship b between phase &

line currents and voltages, phasor diagrams, measurement of

power by two wattmeter method.

Problems by analytical as will graphical methods.

4. Single phase transformer:

Construction, working principle, c.m.f. equation, ideal &

practical transformer, phasor diagrams, equivalent circuit,

O.C.& S.C. tests, efficiency & regulation. All day efficiency.

5. Electrical Machines: (No numerical is expected).

DC Generators & Motors: Construction, working

principle, e.m.f. equation, classification & applications.

Three phase Induction Motor: construction, working

principle, squirrel cage rotor & phase wound rotor,

production of rotating magnetic field, slip.

Single phase Induction Motor: Construction working

principle, double field revolving theory, split phase,

capacitor start, & shaded pole motor.

6. A. Semiconductor Devices: (No numerical is expected)

P-N Junction diode, Zener diode, their construction,

working and characteristics. BJT its construction,

characteristics & applications. (only CE configuration)

B. Rectifiers: (No numerical is expected)

Analysis of half wave & full wave rectifier with resistive

load and its parameters ripple factor rectification

efficiency, regulation.

Rectifier circuit with capacitive filter only.

12. Study of electrical machines.

CP -1

01 Structured Programming using C++

1.1.C++ as a superset of C programming language

1.2.C++ Fundamentals: Character set, identifiers and

Keywords, data Types, constants, and Variables Declarations,

Operators & Expression, Library functions, statements, Symbolic

Constants, Preprocessor directives

02 2.1. Data Input and Output:

getchar(), putchar() scanf(), gets() puts(), cin, cout, setw(), endi etc.

2.2. Control Statements:

If else, while, do-while, go to, for statements, nested control

structures, switch, break, continue statements, comma operator.

03 3.1 Functions:

Functions prototypes. passing arguments to a function by value and

by reference, recursion, over loading functions, storage classes

3.2. Arrays:

Defining-processing array, passing arrays to function introduction to

Multidimensional arrays, arrays and strings.

04 4.1 Pointers

Declaration Referencing and de-referencing, passing pointers to

functions pointer to functions, pointer to arrays

Creation and manipulation of linked list

4.2. Structures and Unions: Defining and processing a structure,

05 5.1 Introduction to object Oriented Programming in C++ 5.2.

Classes, Objects, data encapsulation, access specifies:

Private, public and protected, inheritance in details, operator

overloading of Unary and Binary arithmetic operators, virtual

functions, pure virtual functions.

06 6.1 late binding, friend functions, Object as function parameter

overriding functions and over loaded constructors copy constructor,

static class members.

Applied Chemistry –I

01 Polymers:

Introduction, classification, Hydrocarbon Molecules, Thermoplastic,

Thermosetting Polymers.

Basic Concepts Molecular Weight, Molecular Shape, Polymer

Crystallinity. Crystallization, Meting & Glass Transtition Phenomena.

Viscoelasticity, Deformation Fracture, Defects in Polymers.

Polymerization addition, Polymerization Copolymerization and

Condensation Polymerization.

Advanced polymer Material, Conductiong Polymers Electrical Properties

of Polymers. Liquid Crystal Properties Molecular Electronics & Polymers &

Supramolecular Chemistry.

Fabrication of Polymers

i)Compression Moulding ii) Injection Moulding iii) Transfer Moulding iv)

Extrusion Moulding

Synthesis Properties & uses of PE PMMA Formaldehyde resign Polymer

composite Materials.

2 Water:

Hardness of water, effect of hard water in the manufacture sector types of

hardness, determination of hardness by EDTA method and Problems.

Softening of water by i) Lime soda method with equations in general Hotcld

lime soda method and problems ii)zeolite process & problems iii) Lon

exchange method iv) reverse osmoses, ultrafiltration & its industrial


Methods to determine extent of water pollution i) BOD ii) COD.

Methods to control water pollution.

Industrialization- materials cycle & pollution. Recycling issues.

3 Lubricants

Definition, classification, characteristic properties, problems on acid value

and saponification value. Theories of lubrication.

Additives for lubricants, selection of lubricant.

4 Energy:

Classification Solar energy, hydropower, wind power Biomass energy

using bio technology Hydrogen as a fuel

Solar energy, Production of electricity using solar energy Rechargeable

alkaline storage batteries, Nickel Hydrogen Batteries. Rechargeable Lithium



5 Phase Rule and steels:

Gibbs Phase Rule, One Component System Water, Two Component

System Iron-carcon Equilibrium Diagram with Microstructures.

Limitations & Application of Phase Rule.

Plain Carbon Steel.Limitations.

Introduction to Alloy Steels, special steels.

Principles of shape memory effect & its applications.


6 Nano-materials:

Introduction to nano-materials.

Graphite, fullerenes carbon nanatubes, nanowires, nanocones, Haeckelites.

Their electronic and mechanical properties

Production methods for CNTS.

Applications of nono materials in i) Medicine ii) Catalysis iii)

Environmental Technologies iv) Environmental & related fields.

v) Mechanics.


Applied Physics -I

01 Crystallography & X-rays:

Lattice basis, crystal axes, unit cells, lattice parameters & crystal systems,

SC, BCC, FCC, diamond, Nacl, Zinc blend and HCP crystal structures, Miller

indices. Planes & directions, Liquid crystals & phases, LCD display & its


X-rays- origin of x-rays and x-ray spectra, x-ray diffraction & Bragg’s is

law and determination of crystal structure.

Real crystals- crystal imperfections, point defects and dislocations.

02 Physics of Semiconductors:

Classification of solids, Fermi-Dirac statistics, concept of Fermi level & its

variation with temperature, impurity and applied voltage.

Intrinsic & extrinsic carrier concentrations, carrier drift, mobility resistivity

and Hall effect, carrier diffusion, Einstein’s relations, current density &

continuity equations.

Energy band diagrams of p-n junction, formation of depletion region,

derivation for depletion layer width.

03 Super conductivity:

Critical temperature, critical magnetic field, Type I Type II suppr

conductors, high Tc super conductors.

Meissner effect, josephson effect.

SQUIDS, plasma confinement, Maglev.

04 Acoustics:

acoustics of Building, Absorption, Importance of Reverberation Time,

Units of Loudness, Decible, Phon.

Conditions for Good Acoustics methods of Designs for Good Acoustics,

determination of Absorption coefficient, Noise Opllution.

05 Ultrasonics:

Principles of production, piezoelectric & mangetostriction effect.

Piezoelectric & mangetostriction oscillator: ultrasonic materials- quartz &

ferroelectric materials, cavitations effect.

Applications based on cavitation effect and echo sounding, ultrasonic

imaging & medical diagnosis.


06 Electron optics:

Electostatic & Magnetostatic focusing system

Construction & working of CRT, CRO & its applications.

, , , ,

2 Responses to Engineering Syllabus Mumbai University Revised

  1. deepak September 7, 2015 at 8:21 am #

    How to solve mech kt

    • jojo22 September 7, 2015 at 7:56 pm #

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

Leave a Reply

Powered by WordPress. Designed by Woo Themes