2nd Semester ME & CE Syllabus & Recommended Books
MATHEMATICS –II (DIFFERENTIAL EQUATIONS)
ORDINARY DIFFERENTIAL EQUATIONS
MODULE 3A: FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS (6
LECTURES)
exact, linear and bernoulli’s equations, euler’s equations,
equations not of first degree: equations solvable for p, equations solvable for
y, equations solvable for x and clairaut’s type.
MODULE 3B: ORDINARY DIFFERENTIAL EQUATIONS OF HIGHER ORDERS
(8 LECTURES)
second order linear differential equations with variable
coefficients, method of variation of parameters, cauchy-euler equation; power
series solutions; legendre polynomials, bessel functions of the first kind and
their properties.
TEXTBOOKS/REFERENCES:
Other Important books :-
PARTIAL DIFFERENTIAL EQUATIONS
MODULE 3C: partial
differential equations – first order (6 lectures) first order partial
differential equations, solutions of first order linear and non-linear pdes.
MODULE 3D: partial
differential equations – higher order (10 lectures) solution to homogenous and
non-homogenous linear partial differential equations second and higher order by
complimentary function and particular integral method. flows, vibrations and
diffusions, second-order linear equations and their classification, initial and
boundary conditions (with an informal description of well-posed problems),
d'alembert's solution of the wave equation; duhamel's principle for one
dimensional wave equation. separation of variables method to simple problems in
cartesian coordinates. the laplacian in plane, cylindrical and spherical polar
coordinates, solutions with bessel functions and legendre functions. one
dimensional diffusion equation and its solution by separation of variables.
boundary-value problems: solution of boundary-value problems for various linear
pdes in various geometries.
TEXTBOOKS/REFERENCES:
CHEMISTRY
MODULE 1: atomic and molecular structure (10 lectures)
failure of classical newtonian and maxwell wave mechanics to explain properties
of particles at atomic and sub-atomic level; electromagnetic radiation, dual
nature of electron and electromagnetic radiation, plank’s theory, photoelectric
effect and heisenberg uncertainty principle. failure of earlier theories to
explain certain properties of molecules like paramagnetic properties.
principles for combination of atomic orbitals to form molecular orbitals.
formation of homo and hetero diatomic molecules and plots of energy level
diagram of molecular orbitals. coordination numbers and geometries, isomerism
in transitional metal compounds, crystal field theory and the energy level
diagrams for transition metal ions and their magnetic properties.
MODULE 2:
spectroscopic techniques and applications (8 lectures) principles of
vibrational and rotational spectroscopy and selection rules for application in
diatomic molecules. elementary idea of electronic spectroscopy. uv-vis
spectroscopy with related rules and its applications. fluorescence and its
applications in medicine. basic principle of nuclear magnetic resonance and its
application. basics of magnetic resonance imaging.
MODULE 3: intermolecular forces and properties of gases
(4 lectures) ionic, dipolar and van der waals interactions. equations of state
of ideal and real gases, deviation from ideal behaviour. vander waal gas
equation.
MODULE 4: use of free energy in chemical equilibria &
water chemistry (8 lectures) thermodynamic functions: energy, enthalpy entropy
and free energy. equations to interrelate thermodynamic properties. free
energy, emf. and cell potentials, the nernst equation and applications.
corrosion. use of free energy considerations in metallurgy through ellingham
diagrams. solubility equilibria. water chemistry, hard and soft water.
parameters of quality of water to be used in different industries as for
drinking water. calculation of hardness of water in all units. estimation of
hardness using edta and alkalinity method. removal of hardness by soda lime and
ion exchange method including zeolite method
MODULE 6: stereochemistry (4 lectures) representations of
3-d structures, structural isomers and stereoisomers, configurations and
symmetry and chirality, enantiomers, diastereomers, optical activity, absolute
configurations and conformational analysis.
MODULE 7: organic reactions and synthesis of a drug molecule
(4 lectures) introduction to intermediates and reactions involving
substitution, addition, elimination, oxidation- reduction, diels elder
cyclization and epoxide ring openings reactions. synthesis of a commonly used
drug molecule like aspirin.
SUGGESTED TEXT BOOKS &
UNIVERSITY CHEMISTRY
COURSE OUTCOMES
the concepts
developed in this course will aid in quantification of several concepts in
chemistry that have been introduced at the 10+2 levels in schools. technology
is being increasingly based on the electronic, atomic and molecular level
modifications. quantum theory is more than 100 years old and to understand
phenomena at nanometer levels, one has to base the description of all chemical
processes at molecular levels. the course will enable the student to: analyse
microscopic chemistry in terms of atomic and molecular orbitals and
intermolecular forces. rationalise bulk properties and processes using
thermodynamic considerations. distinguish the ranges of the electromagnetic
spectrum used for exciting different molecular energy levels in various
spectroscopic techniques rationalise periodic properties such as ionization
potential, electronegativity, oxidation states and electronegativity.list major
chemical reactions that are used in the synthesis of molecules.
CHEMISTRY LABORATORY
CHOICE OF 10-12 EXPERIMENTS FROM THE FOLLOWING
v determination of surface
tension and viscosity
v thin layer chromatography
v ion exchange column for
removal of hardness of water
v determination of chloride
content of water
v colligative
properties using freezing point depression
v determination of the rate
constant of a reaction
v
determination of cell constant and conductance of solutions
v potentiometry -
determination of redox potentials and emfs
v synthesis of a
polymer/drug
v saponification/acid value
of an oil
v chemical analysis of a
salt
v lattice structures and
packing of spheres
v models of potential
energy surfaces v
chemical oscillations- iodine clock reaction v
determination of the partition coefficient of a substance between two
immiscible liquids v
adsorption of acetic acid by charcoal v
use of the capillary viscosimeters to the demonstrate of the isoelectric point
as the ph of minimum viscosity for
gelatin sols and/or coagulation of the white part of egg.
LABORATORY OUTCOMES
the chemistry laboratory course will consist of experiments
illustrating the principles of chemistry relevant to the study of science and
engineering. the students will learn to: estimate rate constants of reactions
from concentration of reactants/products as a function of time measure
molecular/system properties such as surface tension, viscosity, conductance of
solutions, redox potentials, chloride content of water, etc synthesize a small
drug molecule and analyse a salt sample
PROGRAMMING FOR PROBLEM SOLVING : CREDIT:5
MODULE 1: introduction to programming (6 lectures)
introduction to components of a computer system (disks, memory, processor,
where a program is stored and executed, operating system, compilers etc). idea
of algorithm: steps to solve logical and numerical problems. representation of
algorithm: flowchart/pseudo code with examples. from algorithms to programs;
source code, variables (with data types) variables and memory locations, type
casting/type conversion, run time environment (static, dynamic location),
storage classes (auto, register, static, extern), syntax and logical errors in
compilation, object and executable code.
MODULE 2: operators (3 lectures) arithmetic
expressions/arithmetic operators/relational operators/logical operators/bitwise
operators and precedence module 3: conditional branching and loops (5 lectures)
writing and evaluation of conditionals and consequent branching, iteration and
loops
MODULE 4: arrays (4 lectures) array declaration &
initialization, bound checking arrays (1-d, 2-d), character arrays and strings.
MODULE 5: basic
algorithms (6 lectures) searching (linear search, binary search etc.), basic
sorting algorithms (bubble, insertion and selection), finding roots of
equations, notion of order of complexity through example programs (no formal
definition required)
MODULE 6: function (4 lectures) introduction & writing
functions, scope of variables functions (including using built in libraries),
parameter passing in functions, call by value, passing arrays to functions:
idea of call by reference
MODULE 7: recursion
(5 lectures) recursion, as a different way of solving problems. example
programs, such as finding factorial, fibonacci series, reverse a string using
recursion, and gcd of two numbers, ackerman function etc. quick sort or merge
sort.
MODULE 8:
structure/union (3 lectures)structures, accessing structure elements, way of
storage of structure element, defining structures and array of structures,
basic definition of union, comparison b/w structure & union with example
MODULE 9: pointers (5 lectures) idea of pointers, defining
pointers, use of pointers in self-referential structures, notion of linked list
(no implementation), pointer to pointer, pointer to array, pointer to strings,
array of pointer, pointer to function, pointer to structure.
MODULE 10: file
handling (only if time is available, otherwise should be done as part of the
lab)
SUGGESTED TEXT BOOKS:
THE STUDENT WILL LEARN
· To
formulate simple algorithms for arithmetic and logical problems.
· To translate the algorithms
to programs (in c language).
· To
test and execute the programs and correct syntax and logical errors.
· To implement conditional
branching, iteration and recursion.
· To decompose a problem into
functions and synthesize a complete program using divide and conquer approach.
· To
use arrays, pointers and structures to formulate algorithms and programs.
· To apply programming to
solve matrix addition and multiplication problems and searching and sorting
problems.
· To apply programming to
solve simple numerical method problems, namely rot finding of function,
differentiation of function and simple integration.
LABORATORY
PROGRAMMING FOR PROBLEM SOLVING:
[THE LABORATORY SHOULD BE PRECEDED OR FOLLOWED
BY A TUTORIAL TO EXPLAIN THE APPROACH OR ALGORITHM TO BE IMPLEMENTED FOR THE
PROBLEM GIVEN.]
Tutorial 1: problem solving using computers:
lab1: familiarization with programming
environment
tutorial 2: variable types and type
conversions:
lab 2: simple computational problems using
arithmetic expressions
Tutorial 3:
branching and logical expressions:
lab 3: problems involving if-then-else
structures
Tutorial 4:
loops, while and for loops:
LAB 4: ITERATIVE PROBLEMS E.G., SUM OF SERIES
tutorial 5: 1d
arrays: searching, sorting:
lab 5: 1d array manipulation tutorial 6: 2d
arrays and strings
lab 6: matrix problems, string operations
tutorial 7: functions, call by value:
lab 7: simple functions
tutorial 8:
numerical methods (root finding, numerical differentiation, numerical
integration):
lab 8: programming for solving numerical
methods problems
tutorial 9:
recursion, structure of recursive calls
lab 9:
recursive functions
tutorial 10:
pointers, structures and dynamic memory allocation
lab 10:
pointers and structures
tutorial 11:
file handling:
lab 11: file operations laboratory outcomes
# to formulate the algorithms for simple
problems
# to translate
given algorithms to a working and correct program.
# to be able to correct syntax errors as
reported by the compilers
# to be able to identify and correct logical
errors encountered at run time
# to be able to write iterative as well as
recursive programs
# to be able to represent data in arrays,
strings and structures and manipulate them through a program
# to be able to
declare pointers of different types and use them in defining self- referential
structures.
# to be able to
create, read and write to and from simple text files.
WORKSHOP MANUFACTURING PRACTICES
DETAILED CONTENTS:
1. manufacturing
methods-casting, forming, machining, joining, advanced manufacturing methods (3
lectures)
2. cnc machining, additive manufacturing (1 lecture)
3. fitting operations & power tools (1 lecture)
4. carpentry (1 lecture)
5. plastic moulding,
glass cutting (1 lecture)
6. metal casting (1 lecture)
7. welding (arc welding & gas welding), brazing,
soldering (2 lecture) suggested
COURSE OUTCOMES:
#upon completion of this course, the students will gain
knowledge of the different manufacturing processes which are commonly employed
in the industry, to fabricate components using different materials.
WORKSHOP PRACTICE: (60 HOURS) [L: 0; T: 0; P: 4 (2 CREDITS)]
1. machine shop (10 hours) and fitting shop (8 hours)
2. carpentry (6
hours)
3. welding shop (8 hours) (arc welding 4 hrs + gas welding 4
hrs)
4. casting (8 hours)
and smithy (6 hours)
5. plastic moulding
& glass cutting (6 hours)
6. 3-d printing of
different models (8 hours) examinations could involve the actual fabrication of
simple components, utilizing one or more of the techniques covered above.
Laboratory Outcomes
#upon completion of this laboratory course, students will be
able to fabricate components with their own hands.
# they will also get practical knowledge of the dimensional
accuracies and dimensional tolerances possible with different manufacturing
processes.
# by assembling different components, they will be able to
produce small devices of their interest. by assembling different components,
they will be able to produce small devices of their interest.
ENGLISH CREDIT:3
1. VOCABULARY BUILDING
a. the concept of word formation
b. root words from foreign languages and their use in
english
c. acquaintance with prefixes and suffixes from foreign
languages in
english to form derivatives.
d. synonyms, antonyms, and standard abbreviations.
e. affixes, acronyms
2. BASIC WRITING SKILLS
a. sentence structures
b. use of phrases and clauses in sentences
c. importance of proper punctuation
d. kinds of sentences
e. use of tense, use in context and coherence of tense in
writing
f. use of voice – active/passive in sentences
g. use of speech – direct and indirect speech
h. framing questions- direct, using modal verbs
3. IDENTIFYING COMMON ERRORS IN WRITING
a. subject-verb agreement
b. noun-pronoun agreement
c. misplaced modifiers
d. articles
e. prepositions
f. redundancies
g. clichés
h. common english errors
4. NATURE AND STYLE OF SENSIBLE WRITING
a. describing
b. defining
c. classifying
d. providing examples or evidence
e. writing introduction and conclusion
f. organising principle of paragraphs in documents
g. argument, describing/ narrating/ planning, defining,classifying
h. lexical resources, using suitable language register
i. coherence, writing introduction, body and conclusion,
techniques for
writing precisely,grammar and accuracy
5. WRITING PRACTICES
a. comprehension
b. formal letter writing/ application/ report writing/
writing minutes of
meetings
c. essay writing
d. formal email writing
e. resume/ cv writing, cover letter,
f. statement of purpose
6. ORAL COMMUNICATION
(THIS UNIT INVOLVES INTERACTIVE PRACTICE SESSIONS IN
LANGUAGE LAB)
a. listening comprehension
b. pronunciation, intonation, stress and rhythm
c. common everyday situations: conversations and dialogues
d. communication at workplace
e. interviews
f. formal presentations
g. acquainting students with ipa symbols
h. phonetics (basic)
i. sounds – vowels, consonants
j. clearing mother tongue influence
k. clearing redundancies and common errors related to
indianisms
l. group discussion
m. expressing opinions
n. coherence and fluency in speech
7. READING SKILLS
a. reading comprehension,
b. paragraph reading based on phonetic sounds/ intonation
8. PROFESSIONAL SKILLS
a. team building
b. soft skills and etiquettes
9. ACQUAINTANCE WITH TECHNOLOGY-AIDED LANGUAGE LEARNING
a. use of computer software (grammarly, ginger…)
b. use of smartphone applications (duolingo, busuu…)
10. ACTIVITIES
a. narrative chain
b. describing/ narrating
c. writing essays in relay
d. peer/ group activities
e. brainstorming vocabulary
f. cue / flash cards for vocabulary
g. debates
My other blogs :- workshops held in gce (ppt) click here
:- The technical akash click here
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