DEPARTMENT OF COMPUTER SCIENCE & ENGINEERING
The RVR & JC College of Engineering was among the first few engineering colleges of Andhra Pradesh to introduce the undergraduate program in Computer Science & Engineering. The department came into being in 1994 with the introduction of B.Tech. course and is manned by a mix of young and experienced faculty.
Modern society relies increasingly on computers and software. Computing is transforming our world, changing the way we work and play, and redefining fields of human endeavour as diverse as healthcare, engineering and government. Computer Science is fuelling this revolution and provides, increasingly, a powerful intellectual framework for other disciplines, underpinning one’s understanding of key phenomena across life and health science, the humanities, engineering and physical science.
The Computer Science and Engineering UG Degree Program aims to provide the students with the knowledge and skills needed to become competent professionals in the computing industry or to prepare them for Master’s program.
The program aims to provide the students with the knowledge and skills needed to become competent professionals in the computing industry or to prepare them for Master’s program.
The degree programme is an ideal blend of theory comprising concepts and advanced applications and a rigorous practice that reinforces the theory to give the students the knowledge and skills needed for employment and an ability to cope with the advancing knowledge beyond the curriculum frame work. The implementation of instruction is systematic and is aimed at developing creativity, solving open ended problems and a bit of desire to research. The project work is so chosen that it calls for an integrated knowledge of quite a few subjects and pose a real challenge to the ability of the student.
The Department is conscious that they are dealing with a knowledge area whose paradigms are constantly shifting and the knowledge obsolescence is as high as the expansion is vast. Every effort is being made to shed out the redundancies and to absorb the new facets, into the teaching programme irrespective of syllabus. The hardware and software are being updated every year to cater to the changing needs. The staff who have graduated recently are being recruited as they are abreast with the recent knowledge and skills. Further, the staff of the department are being sent to acquire higher qualifications to make the department’s performance, the best available in these parts of the state. The aim of bringing out an up to date graduate is being pursued on a continuous basis.
The Department has modern laboratories to serve the teaching and research needs of the students and faculty of the department. Substantial computing resources that include high end servers with 370 MNC branded systems and all the necessary licensed software are exclusively provided for the department. All systems are fully networked within the department and to the institute’s campus using High End CISCO Switches and Fibre Optic Cables. Currently, a 16 Mbps dedicated leased line from BSNL provides high speed Internet Connection to the college. These facilities are maintained by the department programmers and technicians.
The full time faculty constantly strive to improve the intellectual atmosphere of the department through close interaction among them and with the students. Experts from renowned institutions and the industry are frequent visitors to the department contributing to enhancement of quality in all the departmental activities. Together, the staff and students are a cheerful and lively group with the sole object of continuous learning.
The Bachelors degree in Computer Science & Engineering is accredited by the National Board of Accreditation (NBA) of ALL INDIA COUNCIL FOR TECHNICAL EDUCATION (AICTE) TWICE and the latest for 3 years effective from SEPTEMBER, 2007.
ACHARYA NAGARJUNA UNIVERSITY: NAGARJUNA NAGAR
REVISED REGULATIONS FOR
FOUR  YEAR B.TECH. DEGREE COURSE
(CREDIT BASED SYSTEM)
(Effective for the batch of students admitted into first year B.Tech. from the academic year 20112012).

MINIMUM QUALIFICATIONS FOR ADMISSION:
A candidate seeking admission into First Year of B.Tech. Degree Course should have passed either the Intermediate examination conducted by the Board of Intermediate Education, Andhra Pradesh with Mathematics, Physics, and Chemistry as optional subjects (or any equivalent examination recognized by the Acharya Nagarjuna University) or Diploma in Engineering in the relevant branch conducted by the State Board of Technical Education & Training of Andhra Pradesh (or equivalent Diploma recognized by Acharya Nagarjuna University).
The selection is based on the rank secured by the candidate at the EAMCET / ECET (FDH) examination conducted by the A.P. State Council of Higher Education.
The candidate shall also satisfy any other eligibility requirements stipulated by the University and / or the Government of Andhra Pradesh from time to time.

BRANCHES OF STUDY:
2.1. The B.Tech. Course is offered in the following branches of study at one or more of the affiliated colleges:

Biotechnology

Chemical Engineering

Civil Engineering

Computer Science & Engineering

Electrical & Electronics Engineering

Electronics & Communication Engineering

Electronics & Instrumentation Engineering

Information Technology

Mechanical Engineering

The first year of study is common to all branches of Engineering except for Chemical Engineering and Biotechnology.

In addition to the core electives, an open elective (nondepartmental elective) is to be offered in the first semester of fourth year by all branches of B.Tech. courses.

DURATION OF THE COURSE AND MEDIUM OF INSTRUCTION:
3.1 The duration of the course is four academic years consisting of two semesters in each academic year where as annual pattern is followed for first year. The medium of instruction and examination is English.
3.2 The duration of the course for the students (Diploma Holders) admitted under lateral entry into II B.Tech. is three academic years consisting of two semesters in each academic year. The medium of instruction and examination is English.

MINIMUM INSTRUCTION DAYS:
The first year shall consist of a minimum number of 180 instruction days and each semester of 2^{nd}, 3^{rd} and 4^{th} years shall consist of 90 days of instruction excluding the days allotted for tests, examinations and preparation holidays.

EVALUATION:
The performance of the students in each year/ semester shall be evaluated subject wise.

The distribution of marks between sessional work (based on internal assessment) and University Examination will be as follows:

Nature of the subject

Sessional
Marks

University
Exam. Marks

Theory subjects
Design and / or Drawing
Practicals
MiniProject/Seminar
Project work

30
30
30
100
50

70
70
70

150 (Viva voce)

5.2. In the First Year, there shall be three MidTerm Examinations and three Assignment Tests in theory subjects, conducted at approximately equal intervals in the academic year. Assignment questions shall be given at least one week in advance and the students shall answer the question(s) specified by the concerned teacher just before the commencement of the Assignment Test. A maximum of 18 Sessional marks (75% approx) shall be awarded based on the best two performances out of the three Mid Term Exams and a maximum of 7 (25% approx) marks for the best two Assignment Tests out of the three Assignment Tests conducted.
For Drawing subject (Engineering Graphics), 7 marks shall be awarded based on daytoday class work and the remaining 18 marks shall be awarded based on the best two performances in the three Mid Term Exams. No separate Assignment Tests will be held for this subject.
The remaining 5 marks out of the 30 marks earmarked for the internal sessional marks are allotted for attendance in the respective theory and drawing subjects in a graded manner as indicated in clause 7.2.
In each of the Semesters of 2^{nd}, 3^{rd} and 4^{th} years, there shall be two MidTerm examinations and two Assignment Tests in every theory subject. The Sessional marks for the MidTerm examinations shall be awarded giving a weightage of 14 marks out of 18 marks (75% approx) to that MidTerm examination in which the student scores more marks and the remaining 4 marks (25% approx.) for other midterm examination in which the student scores less marks. Similarly a weightage of 5 marks (75% approx) out of 7 marks earmarked for the assignment tests shall be given for the assignment in which the student scores more marks and remaining 2 marks (25% approx) shall be given for the assignment test in which the student scores less marks.
For Drawing subjects, there shall be only two Mid Term examinations in each semester with no Assignment Tests. In case of such subjects a maximum of seven marks shall be given for the daytoday class work and the remaining maximum 18 marks shall be awarded to the Mid Term examinations taking into account the performance of both the Mid Term examinations giving weightage of 14 marks for the Mid Term Examination in which the student scores more marks and the remaining 4 marks for the other midterm examination. A weightage of 5 marks will be given in the total sessional marks of 30 for attendance in all theory and drawing subjects as indicated in clause 7.2.

The evaluation for Laboratory class work consists of weightage of 20 marks for day to day laboratory work including record work and 10 marks for internal laboratory examination including Vivavoce examination.
In the case of Project work, the sessional marks shall be awarded based on the weekly progress and based on the performance in a minimum of two Seminars and the Project Report submitted at the end of the semester. The allotment of the sessional marks for Seminars and for the daytoday class work shall be 20 and 30.
NOTE : A student who is absent for any Assignment / Mid Term Exam, for any reason whatsoever, shall be deemed to have scored zero marks in that Test / Exam and no makeup test / Exam shall be conducted.

A student who could not secure a minimum of 50% aggregate sessional marks is not eligible to appear for the yearend / semesterend University examination and shall have to repeat that year/ semester.

LABORATORY / PRACTICAL CLASSES:
In any year/semester, a minimum of 90 percent experiments / exercises specified in the syllabi for laboratory course shall be conducted by the students, who shall complete these in all respects and get the Record certified by the concerned Head of the Department for the student to be eligible to face the University Examination in that Practical subject.
7.0. ATTENDANCE REGULATIONS:
7.1 Regular course of study means a minimum average attendance of 75% in all the subjects computed by totaling the number of hours / periods of lectures, design and / or drawing, practicals and project work as the case may be, held in every subject as the denominator and the total number of hours / periods actually attended by the student in all the subjects, as the numerator.
7.2 A Weightage in sessional marks upto a maximum of 5 marks out of 30 marks in each theory subject shall be given for those students who put in a minimum of 75% attendance in the respective theory in a graded manner as indicated below:
Attendance of 75% and above but less than 80%  1 mark
Attendance of 80% and above but less than 85%  2 marks
Attendance of 85% and above but less than 90%  3 marks
Attendance of 90% and above  5 marks
7.3 Condonation of shortage in attendance may be recommended on genuine medical grounds, up to a maximum of 10% provided the student puts in at least 65% attendance as calculated in clause 7.1 and provided the principal is satisfied with the genuineness of the reasons and the conduct of the student.
7.4 A student who could not satisfy the minimum attendance requirements, as given above, in any year / semester, is not eligible to appear for the year end or semester end examinations and shall have to repeat that year/semester.
8.0 DETENTION:
A student, who fails to satisfy either the minimum attendance requirements as stipulated in Clause7, or the requirement of minimum aggregate sessional marks as stipulated in Clause 5, shall be detained. Such a student shall have to repeat the same year / semester as the case may be subsequently and satisfy the above requirements afresh to become eligible to appear for the yearend / semesterend University examination.

UNIVERSITY EXAMINATION:
9.1. For each theory, design and/or drawing subject, there shall be a comprehensive University Examination of three hours duration at the end of First year / each Semester of 2^{nd}, 3^{rd} and 4^{th} years, except where stated otherwise in the detailed Scheme of Instruction.
Question paper setting shall be entrusted to external examiners from the panels approved by the respective Boards of Studies.
9.2. For each Practical subject, the University examination shall be conducted by one internal and one external examiner appointed by the Principal of the concerned college and the University respectively, the duration being that approved in the detailed Schemes of Instruction & Examination.
9.3 Vivavoce Examination in Project Work shall be conducted by one internal examiner and one external examiner to be appointed by the University.

AWARD OF CREDITS
Credits are awarded for each Theory/Practical Subjects. Each theory subject is awarded 4 credits and each practical subject is awarded 2 credits. Project work is awarded 10 credits. However for some important theory subjects more than 4 credits may be awarded by individual boards. The total number of credits for all the four years put together should be in the range of 218224 for any branch.

AWARD OF GRADES
S.No.

Range of Marks

Grade

Grade Points

1

≥85%

S

10.0

2

75%84%

A

9.0

3

65%74%

B

8.0

4

55%64%

C

7.0

5

45%54%

D

6.0

6

40%44%

E

5.0

7

≤39%

F(Fail)

0.0

8

The grade ‘W’ represents withdrawal/absent (subsequently changed into pass or E to S or F grade in the same semester)

W

0.0

10.2 A Student securing ‘F’ grade in any subject there by securing 0 grade points has to reappear and secure at least ‘E’ grade at the subsequent examinations in that subject.
10.3 After 1^{st} year/each semester, Grade sheet will be issued which will contain the following details:

The list of subjects for the 1^{st} year/each semester and corresponding credits and Grades obtained

The Grade Point Average(GPA) for the 1^{st} year/ each semester and

The Cumulative Grade Point Average(CGPA) of all subjects put together up to that semester from first year onwards
GPA is calculated based on the fallowing formula:
Sum of [No.Credits X Grade Points]
_______________________________
Sum of Credits
CGPA will be calculated in a similar manner, considering all the subjects enrolled from the first year onwards.
11.0 CONDITIONS FOR PROMOTION
11.1. A student shall be eligible for promotion to II B.Tech. Course if he / she satisfies the minimum requirements of attendance and sessional marks as stipulated in Clauses 5 and 7, irrespective of the number of backlog subjects in I B.Tech.

A student shall be eligible for promotion to III B.Tech. Course if he / she secures a minimum of 70% of the total number of credits from one regular and one supplementary examinations of I B.Tech., (including practical subject) in addition to satisfying the minimum requirements of attendance and sessional marks stipulated in Clauses 5 and 7 in II/IV B.Tech.

A student shall be eligible for promotion to IV B.Tech. course if he/she secures a minimum of 70% of the total number of credits from two regular & two supplementary examinations of I B.Tech. and two regular & one supplementary examinations of II B.Tech. 1^{st} semester and one regular & one supplementary examinations of II B.Tech. 2^{nd} semester (including practical subjects) in addition to satisfying the minimum requirements of attendance and sessional marks stipulated in Clauses 5 and 7 in III B.Tech.

A student (Diploma Holder) admitted under lateral entry into II B.Tech. shall be eligible for promotion to IV B.Tech. course if he/she secures a minimum of 70% of the total number of credits from two regular & one supplementary examinations of II B.Tech. 1^{st} semester and one regular & one supplementary examinations of II B.Tech. 2^{nd} semester (including practical subjects) in addition to satisfying the minimum requirements of attendance and sessional marks stipulated in Clauses 5 and 7 in III B.Tech.

ELIGIBILITY FOR AWARD OF B.TECH. DEGREE
The B.Tech. Degree shall be conferred on a candidate who has satisfied the following requirements.
12.1 The candidate must have satisfied the conditions for pass in all the subjects of all the years as stipulated in clause 10.
12.2. Maximum Time Limit for completion of B.Tech Degree
A Student, who fails to fulfill all the academic requirements for the award of the degree within eight academic years from the year of admission, shell forfeit his/her seat in B.Tech. course.
12.3 A student (Diploma Holder) admitted under lateral entry into II B.Tech., who fails to fulfill all the academic requirements for the award of the degree within six academic years from the year of admission, shell forfeit his/her seat in B.Tech. course.

AWARD OF CLASS
A candidate who becomes eligible for the award of B.Tech. Degree as stipulated in Clause 12 shall be placed in one of the following Classes.

S.No.

Class

CGPA

1

First Class With Distinction : CGPA 8.o or more .

8.0 or more

2

First Class : CGPA not less than 5.0 and less than 6.5

6.5 or more but less than 8.0

3

Second Class

5.0 or more but less than 6.5

4

Pass Class : CGPA 8.o or more .

4.5 or more but less than 5.0


IMPROVEMENT OF CLASS
14.1. A candidate, after becoming eligible for the award of the Degree, may reappear for the University Examination in any of the theory subjects as and when conducted, for the purpose of improving the aggregate and the class. But this reappearance shall be within a period of two academic years after becoming eligible for the award of the Degree.
However, this facility shall not be availed of by a candidate who has taken the Original Degree Certificate. Candidates shall not be permitted to reappear either for Sessional Examination or for University Examinations in Practical subjects (including Project Vivavoce) for the purpose of improvement.

A single Grade sheet shall be issued to the candidate after incorporating the Credits and Grades secured in subsequent improvements.

A consolidated Grade Sheet shall be issued to the candidate indicating the CGPA of all the four years put together along with the Provisional Certificate.

AWARD OF RANK
The rank shall be awarded based on the following:
15.1. Ranks shall be awarded in each branch of study for the top ten percent of the students appearing for the Regular University Examinations or the top ten students whichever is lower.

Only such candidates who pass the Final year examination at the end of the fourth academic year after admission as regular final year students along with the others in their batch and become eligible for the award of the Degree shall be eligible for the award of rank. The University Rank will be awarded only to those candidates who complete their degree within four academic years.
15.3. For the purpose of awarding rank in each branch, the CGPA calculated based on the Grades secured at the first attempt only shall be considered.

Award of prizes, scholarships, or any other Honors shall be based on the rank secured by a candidate, consistent with the desire of the Donor, wherever applicable.
16.0 SUPPLEMENTARY EXAMINATIONS
In addition to the Regular University Examinations held at the end of 1^{st} year / each semester, Supplementary University Examinations will be conducted during the academic year. Such of the candidates taking the Regular / Supplementary University examinations as Supplementary candidates may have to take more than one University Examination per day.
17.0 TRANSITORY REGULATIONS
17.1. Candidates who studied the fouryear B.Tech. Degree Course under Revised Regulations (RR)/ Credit based Regulations(CR) but who got detained in any year for want of attendance / minimum aggregate sessional marks may join the appropriate year / semester in the Semester system applicable for the batch and be governed by the Regulations of that batch from then on.
17.2. University Examinations according to RR / CR shall be conducted in subjects of each year five times after the conduct of the last set of regular examinations under those Regulations.

Candidates who have gone through the entire course of four academic years and have satisfied the attendance and minimum aggregate sessional marks in 1^{st} year/each semester under RR/CR, but who are yet to pass some subjects even after the five chances stated in Clause 17.2, shall appear for the equivalent subjects in the Semester system, specified by the University / Board of Studies concerned.
18. 0 AMENDMENTS TO REGULATIONS
The University may, from time to time, revise, amend, or change the Regulations, Schemes of Examinations, and / or Syllabi.
* * *
ACHARYA NAGARJUNA UNIVERSITY
SCHEME OF INSTRUCTION AND EXAMINATION
w.e.f. 20112012 (Semester System)
I/IV B.Tech. (All Branches) ANNUAL PATTERN (for I B.Tech. only)
(Except Chemical Engg. And BioTechnology)
Sl. No.

Course Details

Scheme of Instruction

Scheme of Examination

Credits

Code No.

Subject Name

Periods per week

Maximum Marks

Total Marks

Lecture + Tutorial

Drawing / Practical

Sessional

University

1.

BT/CE/ChE/CSE/ECE/EEE/EI/IT/ME, 101

MathematicsI

3



30

70

100

4

2.

BT/CE/ChE/CSE/ECE/EEE/EI/IT/ME, 102

MathematicsII

3



30

70

100

4

3.

BT/CE/ChE/CSE/ECE/EEE/EI/IT/ME, 103

Engineering Physics

3



30

70

100

4

4.

CE/CSE/ECE/EEE/
EI/IT/ME, 104

Engineering Chemistry

3



30

70

100

4

5.

BT/CE/ChE/CSE/ECE/EEE/EI/IT/ME, 105

Professional Communication Skills

3



30

70

100

4

6.

BT/CE/ChE/CSE/ECE/EEE/EI/IT/ME, 106

C Programming and Numerical Methods

3



30

70

100

4

7.

CE/CSE/ECE/EEE/
EI/IT/ME, 107

Engineering Mechanics

3+1



30

70

100

4

8.

BT/CE/ChE/CSE/ECE/EEE/EI/IT/ME, 108

Engineering Graphics*

2+4



30

70

100

4

9.

BT/CE/ChE/CSE/ECE/EEE/EI/IT/ME, 151

Physics Lab



3

30

70

100

2

10.

BT/CE/ChE/CSE/ECE/EEE/EI/IT/ME, 152

Chemistry Lab



3

30

70

100

2

11.

BT/CE/ChE/CSE/ECE/EEE/EI/IT/ME, 153

Workshop Practice



3

30

70

100

2

12.

BT/CE/ChE/CSE/ECE/EEE/EI/IT/ME, 154

Fundamentals of H/W & S/W and CProgramming Lab



3

30

70

100

2


TOTAL


23+5

12

360

840

1200

40

* Two different question papers will be set for the University Examination. One question paper for CE, ME, EEE, ChE and BT branches and the University Examination will be conducted in Morning Session. The second question paper will be set for ECE, EI, CSE & IT branches and the University exam will be conducted in Evening Session.
ACHARYA NAGARJUNA UNIVERSITY
SCHEME OF INSTRUCTION AND EXAMINATION
w.e.f. 20112012 (Semester System)
II / IV B.Tech., (COMPUTER SCIENCE & ENGINEERING)
(SEMESTER, I)
________________________________________________________________
Code Subject T P C
________________________________________________________________
CSE/IT 211 MathematicsIII 4  4
CSE/IT212 Discrete Mathematical Structures 4  4
CSE/IT213 Basic Electrical & Electronics Engineering 4+1  4
CSE/IT214 Digital Logic Design 4  4
CSE/IT215 Operating Systems 4+1  4
CSE/IT216 Data Structures using C 4+1  4
CSE/IT251 Data Structures Lab  3 2
CSE/IT252 BEE Lab  3 2
CSE/IT253 Communication Skills  3 2
Total 27 9 30
II / IV B.Tech., (COMPUTER SCIENCE & ENGINEERING)
(SEMESTER, II)
Code Subject T P C
________________________________________________________________
CSE/IT221 Probability & Statistics 4  4
CSE/IT222 Environmental Science 4  4
CSE/IT223 Computer Organization 4  4
CSE/IT224 DBMS 4+1  4
CSE/IT225 Object Oriented Programming 4+1  4
CSE/IT226 UNIX Programming 4+1  4
CSE/IT261 DBMS Lab  3 2
CSE/IT262 OOPs Lab  3 2
CSE/IT263 OS Lab (UNIX based)  3 2
Total 27 9 30
________________________________________________________________
III / IV B.Tech., (COMPUTER SCIENCE & ENGINEERING)
(SEMESTER, I)
________________________________________________________________
Code Subject T P C
________________________________________________________________
CSE 311 Microprocessors & Microcontrollers 4+1  4
CSE/IT312 Computer Networks 4  4
CSE/IT313 Automata Theory & Formal Languages 4+1  4
CSE/IT314 Advanced Java Programming 4+1  4
CSE/IT 315 Design Analysis of Algorithms 4  4
CSE/IT316 Software Engineering 4  4
CSE/IT351 Advanced Java Programming Lab  3 2
CSE352 Microprocessors Lab  3 2
CSE/IT353 Computer Networks Lab  3 2
Total 27 9 30
________________________________________________________________
III / IV B.Tech., (COMPUTER SCIENCE & ENGINEERING)
(SEMESTER, II)
________________________________________________________________
Code Subject T P C
CSE/IT321 Network Security 4  4
CSE322 Compiler Design 4+1  4
CSE/IT323 OOAD 4  4
CSE/IT324 Artificial Intelligence 4  4
CSE/IT325 Elective  I 4+1  4
CSE/IT326 Computer Vision 4+1  4
CSE/IT361 Mini Project  3 2
CSE362 Compiler Design Lab  3 2
CSE/IT363 Computer Vision Lab  3 2
Total 27 9 30
ELECTIVEI:
CSE 325(A), Gaming Engineering
CSE 325(B), Embedded & Real Time Systems
CSE 325(C), Multimedia Systems
CSE 325(D), Software Testing Methodologies
IV / IV B.Tech., (COMPUTER SCIENCE & ENGINEERING)
(SEMESTER, I)
________________________________________________________________
Code Subject T P C
________________________________________________________________
CSE/IT 411 Mobile Computing 4+1  4
CSE412 Advanced Computer Architecture 4  4
CSE/IT413 Distributed Systems 4+1  4
CSE414 Web Technologies 4+1  4
CSE/IT415 ElectiveII(Open) 4  4
CSE/IT416 Professional Ethics & human Values 4  4
CSE/IT451 Mobile Computing Lab  3 2
CSE452 Web Technologies Lab  3 2
CSE/IT453 Soft Skills Lab  3 2
Total 27 9 30
________________________________________________________________
IV / IV B.Tech., (COMPUTER SCIENCE & ENGINEERING)
(SEMESTER, II)
________________________________________________________________
Code Subject T P C
________________________________________________________________
CSE/IT421 Industrial Engineering & Management 4  4
CSE/IT422 Machine Learning 4  4
CSE/IT423 Data Engineering 4+1  4
CSE/IT424 Elective II 4+1  4
CSE/IT425 Elective  III 4+1  4
CSE/IT461 Data Engineering Lab  3 2
CSE/IT462 Project  3 10
Total 23 6 30
Elective, II
CSE424(A) Parallel Algorithms
CSE424(B) Natural Language Processing
CSE424(C) Cyber Crimes & Laws
CSE424(D) Multicore Technologies
Elective III
CSE 425 (A) Bio Informatics
CSE 425 (B) Enterprise Programming
CSE 425 (C) Cloud Computing
CSE 425 (D) Image & Speech
Processing
CE/CSE/ECE/EEE/EI/IT/ME 101

MATHEMATICSI

L
3

T
0

P
0

M
100

UnitI
Differential Calculus: Rolle’s Theorem (without proof), Lagrange’s Mean value theorem (without proof), Taylor’s theorem (without proof), Maclaurin’s series, Maxima and Minima of functions of two variables, Lagrange’s method of undetermined multipliers.
UnitII
Multiple Integrals: Double integrals, Change of order of integration, Double integrals in polar coordinates, Area enclosed by plane curves, Triple integrals, Volume of solids, Change of variables.
Ordinary differential equations (first order): Introduction, Linear and Bernoulli’s equations, Exact equations, equations reducible to exact equations, Orthogonal trajectories, Newton’s law of cooling, Heat flow, Rate of Decay of RadioActive Materials.
UnitIII
Ordinary differential equations (higher order):
Linear Differential equations: Definition, Theorem, Operator D, Rules for finding the complementary function, Inverse operator, Rules for finding the particular integral, Working procedure to solve the equation, Linear dependence of solutions, Method of variation of parameters, Equations reducible to linear equations, Cauchy’s homogeneous linear equation, Legendre’s linear equation, Simultaneous linear equations with constant coefficients.
UnitIV
Fourier Series: Introduction and Euler’s formulae, Conditions for a Fourier expansion, Functions having points of discontinuity, Change of interval, Even and Odd functions, Half range series Typical wave forms and Parseval’s formulae, Complex form of the Fourier series Practical harmonic analysis.

Text Books:
1. B.S. Grewal, Higher Engineering Mathematics, Khanna publishers, 40^{th} edition.
Reference Books:
1. Kreyszig, Advanced Engineering Mathematics.
2. Babu Ram, Engineering Mathematics.
* * *
CE/CSE/ECE/EEE/EI/IT/
ME 102

MATHEMATICSII

L
3

T
0

P
0

M
100

UnitI
Matrices:
Rank of a matrix, vectors, Consistency of linear system of equations, Linear transformations, Characteristic equations, Properties of eigen values, Cayley Hamilton theorem (without proof), Reduction to diagonal form reduction of Quadratic forms to canonical form, Nature of a quadratic form, Complex matrices.
UnitII
Beta Gamma functions, error function.
Statistics: Method of least squares, Correlation, coefficient of correlation (direct method only), lines of regression.
Vector Calculus:
Scalar and vector point functions, Del applied to scalar point functions. Gradient
UnitIII
Vector Calculus:
Del applied to vector point functions, Physical interpretation of divergence, Del applied twice to point functions, Del applied to products of point functions, Integration of vectors, Line integral, Surfaces, Green’s theorem in the plane (without proof), Stoke’ s theorem (without proof), Volume integral, Gauss divergence Theorem (without proof), Cylindrical Coordinates, Spherical polar coordinates.
UnitIV
Laplace Transforms: Introduction, Transforms of elementary functions, Properties of Laplace Transforms, existence conditions, Transforms of derivatives, Integrals, multiplication by t^{n}, division by t, Evaluation of integrals by Laplace Transforms, Inverse transforms, convolution theorem, Application to Differential equations with constant coefficients, transforms of unit step function, unit impulse function, periodic function.
Text Books:
1. B.S.Grewal, Higher Engineering Mathematics, Khanna publishers, 40^{h} Edition.
Reference Books:
1. Babu Ram, Engineering Mathematics.
2. Erwin Keyszing, Advanced Engineering Mathematics. John Wiley and Sons.
* * *
CE/CSE/ECE/EEE/EI/IT/
ME 103

ENGINEERING PHYSICS

L
3

T
0

P
0

M
100

UNITI 20 Periods
Ultrasonics
Production of Ultrasonics by Piezoelectric oscillator method, Detection by Acoustic grating method, Applications  Pulse echo technique, ultrasonic imaging and some general applications.
Applied Optics
Interference: Stokes principle (Phase change on reflection), Interference in thin films due to reflected light (Cosine law), (uses of air films in wedge method and Newton’s rings experiments  qualitative treatments only), Michelson’s interferometer: Principle, construction working and applications (Determination of wavelength of monochromatic source & for resolution of two closely lying wavelengths).
Lasers: Laser characteristics, Spontaneous and Stimulated emissions, Basic requirements of a laser, Population inversion, Solid state laser (Ruby laser), Gas (HeNe) laser, Semiconductor (GaAs) laser, Applications of lasers.
Holography: Principle, recording, reproduction and applications.
Fiber optics: Structure of optical fiber, Types of optical fibers, Numerical aperture, Fiber optics in communications and advantages.
UNITII 15 Periods
