Department of
PHYSICS-AND-ELECTRONICS






Syllabus for
Bachelor of Science (Physics, Mathematics, Electronics)
Academic Year  (2020)

 
1 Semester - 2020 - Batch
Paper Code
Paper
Hours Per
Week
Credits
Marks
ELE131 NETWORK ANALYSIS AND ANALOG ELECTRONICS 4 4 100
ELE151 NETWORK ANALYSIS AND ANALOG ELECTRONICS LAB 2 2 50
ENG121 ENGLISH - I 3 2 100
FRN121 FRENCH 3 3 100
MAT131 DIFFERENTIAL CALCULUS 4 4 100
MAT151 DIFFERENTIAL CALCULUS USING MAXIMA 2 2 50
PHY131 MECHANICS 4 04 100
PHY151 PHYSICS LAB I 2 02 50
2 Semester - 2020 - Batch
Paper Code
Paper
Hours Per
Week
Credits
Marks
ELE231 LINEAR AND DIGITAL INTEGRATED CIRCUITS 4 4 100
ELE251 LINEAR AND DIGITAL INTEGRATED CIRCUITS LAB 2 2 50
ENG221 ENGLISH - II 3 2 100
FRN221 FRENCH 3 3 100
MAT231 DIFFERENTIAL EQUATIONS 4 4 100
MAT251 DIFFERENTIAL EQUATIONS USING MAXIMA 2 2 50
PHY231 ELECTRICITY AND MAGNETISM 4 04 100
PHY251 PHYSICS LAB II 2 02 50
3 Semester - 2019 - Batch
Paper Code
Paper
Hours Per
Week
Credits
Marks
AEN321 ADDITIONAL ENGLISH 3 3 100
ELE331 COMMUNICATION ELECTRONICS 4 4 100
ELE351 COMMUNICATION ELECTRONICS LAB 2 2 50
ENG321 ENGLISH-III 3 3 100
FRN321 FRENCH 3 3 100
HIN321 HINDI 3 2 50
KAN321 KANNADA 3 03 100
MAT331 REAL ANALYSIS 4 4 100
MAT351 INTRODUCTION TO PYTHON PROGRAMMING FOR MATHEMATICS 2 2 50
PHY331 THERMAL PHYSICS AND STATISTICAL MECHANICS 4 04 100
PHY351 PHYSICS LAB III 2 02 50
4 Semester - 2019 - Batch
Paper Code
Paper
Hours Per
Week
Credits
Marks
AEN421 ADDITIONAL ENGLISH 3 3 100
ELE431 MICROPROCESSOR AND MICROCONTROLLER 4 4 100
ELE451 MICROPROCESSOR AND MICROCONTROLLER LAB 2 2 50
ENG421 ENGLISH-IV 3 3 100
FRN421 FRENCH 3 3 100
HIN421 HINDI 3 2 50
KAN421 KANNADA 3 03 100
MAT431 ALGEBRA 4 4 100
MAT451 INTRODUCTION TO MATHEMATICAL MODELLING USING PYTHON 2 2 50
PHY431 WAVES AND OPTICS 4 04 100
PHY451 PHYSICS LAB IV 2 02 50
5 Semester - 2018 - Batch
Paper Code
Paper
Hours Per
Week
Credits
Marks
ELE531 EMBEDDED SYSTEMS 3 3 100
ELE541A OPTO ELECTRONIC DEVICES AND COMMUNICATION 3 3 100
ELE541B ELECTRONIC INSTRUMENTATION 3 3 100
ELE541C SIGNALS AND SYSTEMS 3 3 100
ELE551 EMBEDDED SYSTEMS LAB 2 2 50
ELE551A OPTO ELECTRONIC DEVICES AND COMMUNICATION LAB 2 2 50
ELE551B ELECTRONIC INSTRUMENTATION LAB 2 2 50
ELE551C SIGNALS AND SYSTEMS LAB 2 2 50
MAT531 LINEAR ALGEBRA 3 3 100
MAT541A INTEGRAL TRANSFORMS 3 3 100
MAT541B MATHEMATICAL MODELLING 3 3 100
MAT541C GRAPH THEORY 3 3 100
MAT541D CALCULUS OF SEVERAL VARIABLES 3 3 100
MAT541E OPERATIONS RESEARCH 3 3 100
MAT551 LINEAR ALGEBRA USING PYTHON 2 2 50
MAT551A INTEGRAL TRANSFORMS USING PYTHON 2 2 50
MAT551B MATHEMATICAL MODELLING USING PYTHON 2 2 50
MAT551C GRAPH THEORY USING PYTHON 2 2 50
MAT551D CALCULUS OF SEVERAL VARIABLES USING PYTHON 2 2 50
PHY531 MODERN PHYSICS - I 3 3 100
PHY541A ANALOG AND DIGITAL ELECTRONICS 3 3 100
PHY541B RENEWABLE ENERGY AND APPLICATIONS 3 3 100
PHY541C ASTRONOMY AND ASTROPHYSICS 3 3 100
PHY551 MODERN PHYSICS - I LAB 2 2 50
PHY551A ANALOG AND DIGITAL ELECTRONICS LAB 2 2 50
PHY551B RENEWABLE ENERGY AND APPLICATIONS LAB 2 2 50
PHY551C ASTRONOMY AND ASTROPHYSICS LAB 2 2 50
6 Semester - 2018 - Batch
Paper Code
Paper
Hours Per
Week
Credits
Marks
ELE631 VERILOG AND FPGA BASED DESIGN 3 3 100
ELE641A NON-CONVENTIONAL ENERGY SOURCES AND POWER ELECTRONICS 3 3 100
ELE641B NANO TECHNOLOGY AND NANO ELECTRONICS 3 3 100
ELE641C DIGITAL SIGNAL PROCESSING 3 3 100
ELE651 VERILOG AND FPGA BASED DESIGN LAB 2 2 50
ELE681 PROJECT LAB 2 2 50
MAT631 COMPLEX ANALYSIS 3 3 100
MAT641B NUMERICAL METHODS 3 3 100
MAT641C DISCRETE MATHEMATICS 3 3 100
MAT641D NUMBER THEORY 3 3 100
MAT641E FINANCIAL MATHEMATICS 3 3 100
MAT651 COMPLEX ANALYSIS USING PYTHON 2 2 50
MAT651A MECHANICS USING PYTHON 2 2 50
MAT651B NUMERICAL METHODS USING PYTHON 2 2 50
MAT651C DISCRETE MATHEMATICS USING PYTHON 2 2 50
MAT651D NUMBER THEORY USING PYTHON 2 2 50
MAT651E FINANCIAL MATHEMATICS USING PYTHON 2 2 50
MAT681 PROJECT ON MATHEMATICAL MODELS 5 5 150
PHY631 MODERN PHYSICS - II 3 3 100
PHY641A SOLID STATE PHYSICS 3 03 100
PHY641B QUANTUM MECHANICS 3 3 100
PHY641C NUCLEAR PHYSICS 3 3 100
PHY651 MODERN PHYSICS-LAB II 2 2 50
PHY651A SOLID STATE PHYSICS-LAB 2 02 50
PHY651B QUANTUM MECHANICS-LAB 2 2 50
PHY651C NUCLEAR PHYSICS-LAB 2 2 50
        

  

Assesment Pattern

Exam pattern for theory

Component

Marks

CIA I

10

Mid Semester Examination (CIA II)

25

CIA III

10

Attendance

05

End Semester Exam

50

Total

100

Examination And Assesments

Continuous Internal assessment ( CIA) forms 50% and the end semester examination forms the other 50% of the marks in theory. CIA marks are awarded based on the their performance in assignments, MSE and class assignments ( Quiz, presentations, Moodle based tests, problem solving, minor projects, MOOC etc.). The MSE & ESE for each theory paper is of two & three hours respectively.

CIA I and CIA III are conducted by respective faculty in the form of different types of assignments.

MSE will be held for odd semesters in the month of August and even semesters in the month of January.

ESE:The theory as well as practical courses are held at the end of the semesters.

Department Overview:
Department of Mathematics, CHRIST (Deemed to be University) is one of the oldest departments of the University, established in the year 1969. It offers programmes in Mathematics at the undergraduate level, post graduate level as well as M.Phil and Ph.D. It is equipped with the highly committed team of instructors having versatile experience in teaching, research and has a passion to explore and innovate. Department is committed to provide the quality education in Mathematics, facilitate the holistic development, encourage students for pursuing higher studies in mathematics and motivate students to uphold scientific integrity and objectivity in professional endeavors.
Mission Statement:
Vision: Excellence and Service Mission(Department of Mathematics): To organize, connect, create and communicate mathematical ideas effectively, through 4D's; Dedication, Discipline, Direction and Determination.
Introduction to Program:
Mathematics: The undergraduate course in Mathematics is designed to enable the students to lay a strong foundation in various fields of Mathematics. The course enables the students to develop a respectable intellectual level seeking to expose the various concepts in Mathematics. It also aims at enhancing the students reasoning, analytical and problem solving skills. The first four semesters are devoted to appreciate the beauty of mathematics through Differential Calculus, Differential Equations, Real Analysis and Algebra. In order to help the students in exploration of mathematical concepts through activities and exploration, FOSS (Free and Open Source Software) tool MAXIMA and the computer language "Python" are introduced. Students find better perceptions of the classical courses like Linear Algebra, Complex Analysis and the elective courses.
Program Objective:
On successful completions of the BSc Programme students will be able to PO1. Understand and apply the fundamental principles, concepts and methods in key areas of science and multidisciplinary fields PO2. Demonstrate problem solving, analytical and logical skills to provide solutions for the scientific requirements PO3. Develop the critical thinking with scientific temper PO4. Communicate the subject effectively PO5. Understand the importance and judicious use of technology for the sustainable growth of mankind in synergy with nature PO6. Understand the professional, ethical and social responsibilities PO7. Enhance the research culture and uphold the scientific integrity and objectivity PO8. Engage in continuous reflective learning in the context of technological and scientific advancements

ELE131 - NETWORK ANALYSIS AND ANALOG ELECTRONICS (2020 Batch)

Total Teaching Hours for Semester:60
No of Lecture Hours/Week:4
Max Marks:100
Credits:4

Course Objectives/Course Description

 

 Electronic devices and circuits are an integral part of day to day life. In order to enter the real world of Electronics, it is essential to have a course on Electronics devices and applications. This module starts with foundations of various networks and theorems used in Electronics. The basic principles and applications of basic devices such as diodes and transistors that revolutionized the world are covered. The concept of feedback and principles of sinusoidal oscillators are also introduced. The unit on Unipolar devices deals with the theory and applications of field effect transistors and UJT. 

The primary objectives of this course is

·       To learn the basic methods of analysing electrical dc networks using different network theorems.

·       To understand the principle and applications of half wave rectifier, full wave rectifier, filter circuits

·       To study the basic theory of bipolar junction transistor, various transistor-biasing techniques and transistor applications

·       To study the concept of feedback and basics of sinusoidal oscillators

 To understand the principles of FET and UJT

 

 

Learning Outcome

  This paper enables the students to understand.

·       The basic methods of solving electrical dc networks using different network theorems.

·       Theory and applications of diode and Zener diodes.

·       The basic theory of bipolar junction transistor, various transistor-biasing techniques and transistor applications

·       The concept of feedback and basic principles of sinusoidal oscillators

·       The theory, types and applications of FET and UJT.

Unit-1
Teaching Hours:15
Circuit Analysis
 

Review of Electronic components. Concept of Voltage and Current Sources. Voltage and current divider circuits, Kirchhoff’s Current Law, Kirchhoff’s Voltage Law. Mesh Analysis. Node Analysis. Superposition Theorem. Thevenin’s Theorem. Norton’s Theorem. Reciprocity Theorem. Maximum Power Transfer Theorem.

Unit-2
Teaching Hours:15
Junction Diode and its Applications
 

PN junction diode (Ideal and practical)- constructions, Formation of Depletion Layer, Diode Equation and I-V characteristics. static and dynamic resistances, dc load line analysis, Rectifiers- Half wave rectifier, Full wave rectifiers (center tapped and bridge), ripple factor and efficiency. Filter- Shunt capacitor filter, its role in power supply, Regulation- Line and load regulation, Zener diode, Zener and avalanche breakdown. Zener diode as voltage regulator-load and line regulation, Schottky diode.

 

Unit-3
Teaching Hours:15
Bipolar Junction Transistor
 

Review of the characteristics of transistor in CE and CB configurations, Regions of operation (active, cut off and saturation), Current gains α and β. Relations between α and β. dc load line and Q point. Transistor biasing and Stabilization circuits- Fixed Bias and Voltage Divider Bias. Thermal runaway, stability and stability factor S. Transistor as a two port network, h-parameter equivalent circuit. Small signal analysis of single stage CE amplifier. Input and Output impedance, Current and Voltage gains. Class A, B and C Amplifiers. Two stage RC Coupled Amplifier and its Frequency Response.

 

Unit-4
Teaching Hours:15
Sinusoidal Oscillators
 

Feedback in Amplifiers: Concept of feedback, negative and positive feedback, advantages of negative feedback (Qualitative only). Sinusoidal Oscillators: Barkhausen criterion for sustained oscillations. Hartley and Colpitts oscillators. Determination of Frequency and Condition of oscillation. 

JFET. construction, working and i-v characteristics (output and transfer), pinch off voltage, parameters. MOSFET–principle and construction, UJT, basic construction, working, equivalent circuit and I-V characteristics., applications.

Text Books And Reference Books:

[1]  S. A. Nasar, Electric Circuits”, Schaum’s outline series, Tata McGraw Hill, 2004.

[2]  A.P Malvino, “Principles of Electronics”, 7th edition ,TMH, 2011.

[3] Robert L Boylestad, “Introductory circuit analysis”, 5th edition, Universal Book Stall   2003.

[4]  R.S.Sedha, “A Text book of Applied Electronics”, 7th edition, S.Chand and Company Ltd. 2011.

  

Essential Reading / Recommended Reading

[1]  M. Nahvi & J. Edminister, “Electrical Circuits”, Schaum’s Outline Series, Tata McGraw- Hill, 2005

[2] David A. Bell “ Electronic Devices and Circuits”, 5th Edition, Oxford University Press, 2015

[3] A.S. Sedra, K.C. Smith, A.N. Chandorkar “Microelectronic circuits”, 6th Edn., Oxford University Press, 2014.

[4] J Millman and C. C. Halkias, “Integrated Electronics”, Tata McGraw Hill, 2001.

 

Evaluation Pattern

 

No.

Components

Marks

CIA 1

Assignment

10

CIA2

MSE

25

CIA 3

Quiz, MCQ test, presentation, minor project, MOOC

10

Attendance

 

05

ESE

centralized

50

Total

100

 

ELE151 - NETWORK ANALYSIS AND ANALOG ELECTRONICS LAB (2020 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:50
Credits:2

Course Objectives/Course Description

 

 

This practical course covers the study of network theorems, provides an overview of the principle, operation and applications of the electronic devices like diode and transistor. It provides hands on experience of circuit construction on breadboard, measurement of electrical parameters using Digital multimeter and Cathode ray oscilloscope (CRO).

 

To provide fundamental practical knowledge that enables the students to

 

·       effectively use the multimeter, CRO and measure electrical parameters

 

·       identify electronic components and construct the circuit on solder less bread board

 

·       verify network theorems (DC), study working of diode and transistor circuits

 

·       plot characteristics curves and output waveforms on graph sheet

 

Learning Outcome

On completion of this course, the students will be able to

·       acquire basic skills in handling the lab equipments effectively and safely

·       learn to construct circuit and study the circuit performance

·       plot the characteristics and interpret the results obtained

Unit-1
Teaching Hours:30
List of Experiments
 

AT LEAST 06 EXPERIMENTS FROM THE FOLLOWING BESIDES #1

1. To familiarize with basic electronic components (R, C, L, diodes, transistors), digital

     multimeter, Function Generator and Oscilloscope.

2. Measurement of Amplitude, Frequency & Phase difference using Oscilloscope.

3. Verification of  Superposition Theorem

4. Verification of the Maximum Power Transfer Theorem.

5. Study of the I-V Characteristics of (a) p-n junction Diode, and (b) Zener diode.

6. Study of (a) Half wave rectifier and (b) Full wave rectifier (FWR).

7. Study the effect of (a) C- filter and (b) Zener regulator on the output of FWR.

8. Study of Fixed Bias and Voltage divider bias configuration for CE transistor.

9. Design of a Single Stage CE amplifier of given gain.

10. Study of the Colpitt’s  Oscillator.

Text Books And Reference Books:

Paul B Zbar, A.P. MalvinoBasic "Electronics- A Text Lab Manual", , TMH, 9th Edition, 2001

Essential Reading / Recommended Reading

Poorna Chandra Rao   & Sasikala, “Handbook of  experiments in electronics and communication’ VIKAS Publising house, 2004

Evaluation Pattern

 

No.

Components

Marks

CIA 1

class work, pre-lab work

15

CIA2

MSE 

10

ESE

(two examiners)

25

Total

50

 

ENG121 - ENGLISH - I (2020 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:2

Course Objectives/Course Description

 
  • To expose learners to a variety of texts to interact with
  • To help learners classify ideologies and be able to express the same
  • To expose learners to visual texts and its reading formulas
  • To help learners develop a taste to appreciate works of literature through the organization of language
  • To help develop critical thinking
  • To help learners appreciate literature and the language nuances that enhances its literary values
  • To help learners understand the relationship between the world around them and the text/literature
  • To help learners negotiate with content and infer meaning contextually
  • To help learners understand logical sequencing of content and process information

·         To help improve their communication skills for larger academic purposes and vocational purposes

·         To enable learners to learn the contextual use of words and the generic meaning

·         To enable learners to listen to audio content and infer contextual meaning

·         To enable learners to be able to speak for various purposes and occasions using context specific language and expressions

·         To enable learners to develop the ability to write for various purposes using suitable and precise language.

Learning Outcome

·         Understand how to engage with texts from various countries, historical, cultural specificities and politics

 

·         Understand and develop the ability to reflect upon and comment on texts with various themes

 

·         Develop an analytical and critical bent of mind to compare and analyze the various literature they read and discuss in class

 

·         Develop the ability to communicate both orally and in writing for various purposes

 

Unit-1
Teaching Hours:6
language
 

Common errors- subject-verb agreement, punctuation, tense errors 

 

Unit-1
Teaching Hours:6
Unit 1 1. The Happy Prince By Oscar Wilde 2. Shakespeare Sonnet 18
 

Unit-2
Teaching Hours:6
language
 

sentence fragments, dangling modifiers, faulty parallelism,

Unit-2
Teaching Hours:6
unit 2
 

1. Why We Travel-Pico Iyer

2. What Solo Travel Has Taught Me About the World – and Myself -ShivyaNath- Blogpost

 

Unit-3
Teaching Hours:6
unit 3
 

1. Thinking Like a Mountain

By Aldo Leopold

2. Short Text: On Cutting a Tree

By Gieve Patel

Unit-3
Teaching Hours:6
language
 

Note taking

Unit-4
Teaching Hours:6
unit 4
 

1. Violence in the name of God is Violence against God

By Rev Dr Tveit

 

2. Poem: Holy Willie's Prayer

By Robert Burns

Unit-4
Teaching Hours:6
language
 

Paragraph writing

Unit-5
Teaching Hours:6
unit 5
 

1. The Story of B24

By Sir Arthur Conan Doyle

 2. Short Text: Aarushi Murder case 

 

Unit-5
Teaching Hours:6
Language
 

Newspaper report

Unit-6
Teaching Hours:6
unit 6
 

1.Long text:My Story- Nicole DeFreece

 

2. short text: Why You Should Never Aim for Six Packs

 

Unit-6
Teaching Hours:6
Language
 

Essay writing

Unit-7
Teaching Hours:6
Language
 

Paraphrasing and interpretation skills

Unit-7
Teaching Hours:6
unit 7
 

1.Long Text: Sir Ranjth Singh- Essay by SouravGanguly

2. Short text: Casey at the Bat-  Ernest Lawrence Thayer

Unit-8
Teaching Hours:3
visual text
 

Visual Text: Before the Flood

Text Books And Reference Books:

ENGlogue 1

Essential Reading / Recommended Reading

Addfitional  material as per teacher manual will be provided by the teachers

Evaluation Pattern

CIA 1=20

CIA 2=50 

CIA 3= 20 

ESE= 50 marks online and 50 marks written exam

FRN121 - FRENCH (2020 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:3

Course Objectives/Course Description

 

French as second language for the UG program

Learning Outcome

Enhancement of linguistic competencies and sharpening of written and oral communicative skills.

 

Unit-1
Teaching Hours:5
Chapter 1- I Discover
 

Lesson 1: Good Morning, How are you?

Unit-2
Teaching Hours:5
Chapter 1 - I discover
 

Lesson 2: Hello, My name is Agnes.

Unit-3
Teaching Hours:5
Chapter 2- Culture : Physical and Political france
 

Lesson 1: Who is it?

Unit-4
Teaching Hours:5
Chapter 2- Culture: Physical and Political France
 

Lesson 2: In my bag , I have......

Unit-5
Teaching Hours:5
Les Fables de la Fontaine
 

1. La cigale et la fourmis

Unit-6
Teaching Hours:5
Visual Text
 

A French Film 

Unit-7
Teaching Hours:5
Chapter 3- Viideo Workshop: He is cute!
 

Lesson 1 : How is he?

Unit-8
Teaching Hours:5
Les Fables de la Fontaine
 

2. Le renard et le corbeau

Unit-9
Teaching Hours:5
Chapter 3- Video Workshop: He is cute
 

Lesson 2: Hello?

Text Books And Reference Books:

1.      Cocton, Marie-Noelle. Génération A1. Paris : Didier, 2016 

2.      De Lafontaine, Jean. Les Fables de la Fontaine. Paris, 1668

 

Essential Reading / Recommended Reading

1. Thakker, Viral. Plaisir d’écrire. New Delhi : Langers International Pvt. Ltd., 2011

2. French websites like Bonjour de France, Fluent U French, Learn French Lab, Point du FLE etc.

Evaluation Pattern

 

Assessment Pattern

CIA (Weight)

ESE (Weight)

CIA 1 – Assignment & MOODLE Testing (Quiz)

10%

 

CIA 2 –Mid Sem Exam

25%

 

CIA 3 – Role Play / Theatre and DELF Pattern: Reading & Writing

10%

 

Attendance

05%

 

End Sem Exam

 

50%

Total

50%

50%

 

MAT131 - DIFFERENTIAL CALCULUS (2020 Batch)

Total Teaching Hours for Semester:60
No of Lecture Hours/Week:4
Max Marks:100
Credits:4

Course Objectives/Course Description

 

Course Description: This course aims at enabling the students to know various concepts and principles of differential calculus and its applications.  Sound knowledge of calculus is essential for the students of mathematics for the better perceptions of the subject and its development.

Course objectives​: This course will help the learner to

COBJ1. Gain familiarity with the concepts of limit, continuity and differentiability.

COBJ2. Understand the relationship between the concepts of differentiability and continuity.

COBJ3. Analyse and interpret the different versions of mean value theorems.

COBJ4. Learn successive differentiation and nth derivative of product of two functions.

COBJ5. Find derivative of functions of more than one variable.

COBJ6. Be familiar with curve tracing.

Learning Outcome

On successful completion of the course, the students should be able to

CO1. Compute limits, derivatives and examine the continuity, differentiability of a function at a point.
CO2. Understand the properties of continuous functions and prove that differentiability implies continuity
CO3. Prove Mean value theorems and analyse its geometric interpretation.
CO4. Compute derivatives of any order and apply Leibniz’ theorem to find nth derivative of product of two functions.
CO5. Master the fundamental concepts of partial differentiation and apply Euler’s theorem for homogeneous functions.
CO6. Gain knowledge on the concepts such as asymptotes, concavity/convexity and singular points and apply the same for curve tracing.

Unit-1
Teaching Hours:20
Limits, Continuity, Differentiability and Mean Value Theorems
 

Definition of the limit of a function (ε-δ) form – Continuity, Uniform Continuity – Types of discontinuities – Properties of continuous functions on a closed interval - Boundedness theorem and extreme value theorem – Differentiability – Mean Value Theorems: Rolle’s theorem – Lagrange’s and Cauchy’s First Mean Value Theorems – Taylor’s theorem (Lagrange’s form and Cauchy’s forms of remainder) – Maclaurin’s theorem and expansions -Indeterminate forms. .

Unit-2
Teaching Hours:20
Successive and Partial Differentiation
 

Successive differentiation – nth derivatives of functions – Leibnitz theorem and its applications – Partial differentiation – First and higher order derivatives – Differentiation of homogeneous functions – Euler’s theorem – Taylor’s theorem for two variables (only statements and problems)- Maxima and Minima of functions of two variables.

Unit-3
Teaching Hours:20
Curve Tracing
 

Tangents and Normals, Concavity and convexity, Curvature, Asymptotes, Singular points, Tracing of curves (Parametric representation of curves and tracing of parametric curves, Polar coordinates and tracing of curves in polar coordinates)..

Text Books And Reference Books:

G.B. Thomas, M.D.Weir and J. Hass, ThomasCalculus, 12th ed., Pearson Education India, 2015. 

Essential Reading / Recommended Reading
  1. H. Anton, I. Birens and S. Davis, Calculus, John Wiley and Sons Inc., 2002.
  2. F. Ayres and E. Mendelson, Schaum's Outline of Calculus, 6th ed. USA: Mc. Graw Hill., 2013.
  3. J. Stewart, Single Variable Essential Calculus: Early Transcendentals, 2nd ed.: Belmont, USA: Brooks/Cole Cengage Learning., 2013.
  4. S. Narayanan & T. K. M. Pillay, Calculus, Reprint, India: S. Viswanathan Pvt. Ltd., 2009. (vol. I & II.)
  5. M. Spivak, Calculus, 3rd ed., Cambridge University Press, 2006.
  6. T.M. Apostol, Calculus, Vol-II, Wiley India Pvt. Ltd., 2011.
  7. J. Edwards, An elementary treatise on the differential calculus: with applications and numerous examples, Reprint, Charleston, USA: BiblioBazaar, 2010.
  8. N. P. Bali, Differential Calculus, New ed. New Delhi, India: Laxmi Publications (P) Ltd., 2012.
Evaluation Pattern

 

Component

Mode of Assessment

Parameters

Points

CIA I

MCQ,

Written Assignment,

Reference work, etc.,

Mastery of the core concepts

Problem solving skills

 

10

CIA II

Mid-semester Examination

Basic, conceptual and analytical knowledge of the subject

25

CIA III

Written Assignment, Project

Problem solving skills

10

Attendance

Attendance

Regularity and Punctuality

05

ESE

 

Basic, conceptual and analytical knowledge of the subject

50

Total

100

MAT151 - DIFFERENTIAL CALCULUS USING MAXIMA (2020 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:50
Credits:2

Course Objectives/Course Description

 

Course Description: The course Differential Calculus Using wxMaxima is aimed at enabling the students to appreciate and understand core concepts of Differential Calculus with the help of the free and open source mathematical software Maxima. It is designed to gain hands on experience in using MAXIMA to perform plotting of standard curves, to find limits of a function, illustrate differentiability and solve applied problems on differentiation.

Course objectives​: This course will help the learner to

COBJ1. Acquire skill in solving problems on Differential Calculus using MAXIMA.
COBJ2. Gain proficiency in using MAXIMA to solve problems on Differential Calculus.

Learning Outcome

On successful completion of the course, the students should be able to  

CO1. Acquire proficiency in using MAXIMA to study Differential Calculus.
CO2. Demonstrate the use of MAXIMA to understand and interpret the core concepts of various types of functions from the algebraic and graphical points of view.
CO3. Use MAXIMA to evaluate limits of functions and check for continuity graphically as well as algebraically.
CO4. Be familiar with the built-in functions to find derivatives of any order and solve application problems dealing with the concept of rate of change.
CO5. Sketch graphs of standard curves using MAXIMA to interpret tracing of curves.

Unit-1
Teaching Hours:30
Proposed Topics
 
  1. Introduction to MAXIMA
  2. Sketch the graph of various functions: explicit-implicit-parametric-polar.
  3. Evaluation of limits using built-in function in maxima and illustration of the same graphically.
  4. Demonstration of continuous functions and types of discontinuities.
  5. Determination of derivatives. - graphical interpretation of derivatives.
  6. Verification of mean value theorems.
  7. Evaluation of extreme points, maxima and minima.
  8. Calculation of nth derivatives of functions
  9. Partial differentiation of functions of two variables.
  10. Tracing of curves.
  11. Applications of differentiation
Text Books And Reference Books:
  1. Zachary Hannan, wxMaxima for Calculus I (Creative Commons Attribution-Non-Commercial-Share Alike 4.0 International), Solano Community College, Edition 1.0 Publisher, Published June 17, 2015.
  2. Zachary Hannan, wxMaxima for Calculus II (Creative Commons Attribution-Non-Commercial-Share Alike 4.0 International), Solano Community College, Edition 1.0 Publisher, Published June 17, 2015.
Essential Reading / Recommended Reading

 Sandeep Koranne, Handbook of Open Source Tools, Springer Science & Business Media, 2010.

Evaluation Pattern

The course is evaluated based on continuous internal assessments (CIA) and the lab e-record. The parameters for evaluation under each component and the mode of assessment are given below.


Component

Parameter

Mode of  Assessment

Maximum

Points

CIA I

Mastery of the  concepts

Lab Assignments

20

CIA II

Conceptual clarity and analytical skills

Lab Exam - I

10

Lab Record

Systematic documentation of the lab sessions.

e-Record work

07

Attendance

Regularity and Punctuality

Lab attendance

03

95-100% : 3

90-94%   : 2

85-89%   : 1

CIA III

Proficiency in executing the commands appropriately,.

Lab Exam - II

10

Total

50

PHY131 - MECHANICS (2020 Batch)

Total Teaching Hours for Semester:60
No of Lecture Hours/Week:4
Max Marks:100
Credits:04

Course Objectives/Course Description

 

This course is aimed to provide a thorough knowledge of the basics of kinematics, gravitation, work, energy, oscillations, properties of matter and special theory of relativity. Each topic includes problem-solving which develops the thinking process and application skills of the students.  

Learning Outcome

Familiarisation of the fundamental mathematical formulations in mechanics and development of application skills.

Unit-1
Teaching Hours:15
Laws of Motion
 

Scalars and vectors, types of vectors, Vector algebra-Vector addition and subtraction, Graphical and analytical methods, components of vectors, Scalar and vector products, applications for scalar and vector products, Vector derivatives, 1st order and second-order differential equations.      

Motion in one dimension-Motion with uniform velocity, uniform acceleration and non-uniform acceleration, Motion in two dimensions-projectile motion- Motion along a curve in a plane (radial and transverse components of velocity and acceleration), examples. Drag force terminal velocity, Frames of reference- Inertial and non-inertial, two frames of reference moving with uniform relative velocity, uniform acceleration, rotating frames, fictitious forces-Examples-(Banking of curved railway track, Accelerometer, freely falling elevator). Newton’s Laws of motion. First, second and third laws, Conservative and non-conservative forces, Dynamics of a system of particles., Definition of centre of mass, centre of mass of two particles, group of particles, continuous bodies, uniform straight rod, motion of the centre of mass.              

Unit-2
Teaching Hours:15
Momentum and Energy
 

Conservation of momentum and energy, work-energy theorem, motion of rockets. 

Rotational motion: Angular velocity and angular momentum, torque, conservation of angular momentum.

Fluids: Surface tension: Synclastic and antisynclastic surface - Excess of pressure - Application to spherical and cylindrical drops and bubbles - variation of surface tension with temperature - Jaegar’s method, Drop weight method. Viscosity: Viscosity - Rate flow of liquid in a capillary tube - Poiseuille’s formula - Determination of coefficient of viscosity of a liquid - Stoke's method, Variation of viscosity of a liquid with temperature 

Unit-3
Teaching Hours:15
Gravitation and Oscillations
 

Newton’s law of gravitation. Motion of a particle in a central force field (motion is in a plane, angular momentum is conserved, areal velocity is constant). Kepler’s Laws (qualitative). Satellite in circular orbit and applications. Geosynchronous orbits. Weightlessness. Basic idea of Global Positioning System (GPS).

Oscillations: Simple harmonic motion. Differential equation of SHM and its solutions. Kinetic and Potential Energy, Total Energy and their time averages. Damped oscillations.       

Unit-4
Teaching Hours:15
Elasticity and Relativity
 

Elasticity: Hooke’s law - Stress-strain diagram - Elastic moduli-Relation between elastic constants - Poisson’s Ratio-Expression for Poisson’s ratio in terms of elastic constants - Work done in stretching and work done in twisting a wire - Twisting couple on a cylinder - Determination of rigidity modulus by static torsion - Torsion pendulum-Determination of Rigidity modulus and moment of inertia - q, η and σ by Searle’s method.

Special theory of relativity: Constancy of speed of light. Postulates of Special Theory of Relativity. Length contraction. Time dilation. Relativistic addition of velocities. 

Text Books And Reference Books:

[1].Resnick, R., Walker, J., & Halliday, D. (2015). Principles of physics (9th ed.): Wiley.

[2].Kittel, C. (2007). Mechanics: Berkeley physics course, Vol. 1: Tata McGraw- Hill.

[3].Sears, F. W., Zemansky, M. W., & Young H. D. (1986). University Physics: Addison- Wesley.

Essential Reading / Recommended Reading

[1].Basudeb, B. (2015). Engineering mechanics (2nd ed.): Oxford University Press.

[2].Ronald, L. R. (2003). University physics: Thomson Brooks.

Evaluation Pattern

 

Type

Components

Marks

CIA1

Assignments/class room interaction/periodical test/student seminar/preparation of science models

10

CIA2

MSE (centralized)

25

CIA3

Quiz, MCQ test, presentation,project, MOOC

10

Attendance

 

05

ESE

Centralized

50

Total

 

100

 

PHY151 - PHYSICS LAB I (2020 Batch)

Total Teaching Hours for Semester:30
No of Lecture Hours/Week:2
Max Marks:50
Credits:02

Course Objectives/Course Description

 

The mechanics related experiments included in this course enables the students to understand the theory better and develops the application skills in a practical situation.

Learning Outcome