Department of Computer Science of CHRIST(Deemed to be University) strives to shape outstanding computer professionals with ethical and human values to reshape nation?s destiny. The training imparted aims to prepare young minds for the challenging opportunities in the IT industry with a global awareness rooted in the Indian soil, nourished and supported by experts in the field. 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.

Programme Outcomes 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 Programme Specific Outcomes PSO1.Provide a comprehensive understanding of hardware components and its applications PSO2.Apply the theoretical concepts to design and develop software PSO3.Demonstrate the problem solving skills in mathematical and digital sciences. PSO4. Express proficiency in oral and written communications to appreciate innovation in research. PSO5. Use software effectively for mathematical modelling. PSO6. Develop industry-focused skills to lead a successful career.

• Continuous Internal assessment (CIA) forms 50% and the end semester examination forms the other 50% of the marks in both theory and practical.
• The MSE & ESE for each theory paper is of two and three hours respectively.
• The CIA for the practical sessions are done on a day-to-day basis depending upon their performance in the pre-lab, the conduct of the experiment, viva questions etc. Only those who qualify with minimum require attendance and CIA will be allowed to appear for the ESE.

The Additional English course is offered as a second language course and seeks to introduce the students to the nuances of English literature in its varied forms and genres. The students who choose Additional English are generally proficient in the English language. Hence, instead of focusing on introducing them to language, challenging texts in terms of ideas, form, and technique are chosen. Additional English as a course is designed for students in place of a regional language. Non-Resident Indians (NRIs), foreign nationals and students who have not taken Hindi, Kannada, Tamil or French at the Plus 2 or Class XII levels are eligible to choose Additional English. The course is taught for students from different streams, namely, BA, BSc, BCom, and BBA in the first year and for BA, BSc and BCom (Regular) in the second year.

The first year syllabus is an attempt by the Department of English, Christ University to recognize and bring together the polyphonic Indian and Indian sub-continental voices in English in English translation for the Additional English students of the first year. This effort aims to familiarize the students with regional literatures in translation, Indian Writing in English (IWE) and literatures from Pakistan, Nepal and Srilanka, thereby, enabling the students to learn more about Indian culture and ethos through writings from different regions of the country. We have tried to represent in some way or the other the corners of India and the Indian sub-continent in this microcosmic world of short stories, poems and essays

There is a prescribed text bookfor the first year students, compiled by the Department of English, Christ University and intended for private circulation.

The first semester has a variety of writing from India, Pakistan and Nepal. The various essays, short stories and poems deal with various socio-economic, cultural and political issues that are relevant to modern day India and the Indian sub-continent and will enable students to comprehend issues of identity-politics, caste, religion, class, and gender. All of the selections either in the manner of their writing, the themes they deal with or the ideologies that govern them are contemporary in relevance and sensibility, whether written by contemporary writers or earlier writers. An important addition to this syllabus is the preponderance of North-Eastern writing which was hitherto not well represented. Excerpts from interviews, autobiographical writings, sports and city narratives are added to this section to introduce students to the varied genres of literature.

The objectives of this course are

to expose students to the rich literary and cultural diversity of  Indian literatures

to sensitise students on the social, political, historical and cultural ethos that has shaped the nation- INDIA

to enable to grasp and appreciate the variety and abundance of Indian writing, of which this compilation is just a passing glance

to learn and appreciate India through association of ideas in the texts and the external contexts (BhashaUtsav will be an intrinsic help in this endeavour)

The students will become

sensitive to cultural, social, religious and ethnic diversities and help them engage with their peers and all around them in a more understanding and ‘educated’ manner.

it will also enable them through the activities conducted to become more proactive citizens/participants in society.

aware of the dynamics of gender, identity, communalism and politics of this vast nation through its literature.

1.      Keki N Daruwala     “Migrations”

2.      Kamala Das            “Forest Fire”

3.      Agha Shahid Ali      “Snow on the Desert”

4.      Eunice D Souza       “Marriages are Made”

1.      Rabindranath Tagore    “Babus of Nayanjore”

2.      Ruskin Bond  “He said it with Arsenic”

3.      Bhisham Sahni       “The Boss Came to Dinner”

4.      N. Kunjamohan Singh    “The Taste of Hilsa”

5.      Mohan Thakuri                “Post Script”

1.      Mahatma Gandhi       “What is True Civilization?” (Excerpts from Hind Swaraj)

2.      Ela Bhatt                    “Organising for Change”

3.      Sitakant Mahapatra     “Beyond the Ego: New Values for a Global Neighborhood

4.      B R Ambedkar             “Waiting for A Visa”

The text book copy "Reading Diversity"

CIA 2: Mid-semester written exam for 50 marks

CIA 3: Collage, tableaus, skits, talk shows, documentaries, Quizzes or any proactive            creative assignments that might help students engage with India as a cultural space. This is to be done keeping in mind the objectives and learning outcomes of the course.

Question Paper Pattern

Mid Semester Exam: 2 hrs

Section A: 4x5= 20

Section B: 2x15=30

Total                  50

End Semester Exam: 2 hrs

Section A: 4 x 5 = 20

Section B: 2 x 15= 30

Total                   50

The course provides the fundamentals of C programming, number systems, Boolean algebra and logic gates. The C programming helps the students to solve problems through logical thinking and digital logic helps the students to understand the concepts of constructing combinational and sequential circuits.

CO2: Learn to implement the concepts of arrays, functions, pointers, structures and to analyse logical expressions.

CO3: To create programs with ethical coding standards. CO4: To design combinational and sequential circuits.

Algorithms - flowcharts- The C Character Set - Constants,  Variables and Keywords  -  Types of C Constants - Types of C Variables - Variable Names - C Instructions – data Type Declaration I/O instructions - Arithmetic Instruction - TypeConversion.

The Decision Control Structure - The if Statement- if-else Statement- Nested if-else Use of Logical Operators - ! Operator - Decisions Using switch - The Loop Control Structure While Loop - for Loop - break Statement - continue Statement- do-while Loop.

A Simple Program Using Array -  Array Initialization - Two  Dimensional Arrays-  Initializing a 2-Dimensional Array - Memory Map of a 2-Dimensional Array – Strings - Standard Library String Functions - strlen( ) - strcpy( ) - strcat() - strcmp() - Two-Dimensional Array of Characters.

Function - Passing Values between Functions - Scope Rule  of  Functions  -  Calling Convention - Return Type of Function - Call by Value and Call by Reference -  An  Introduction to Pointers - Pointer Notation –Recursion.

Introduction to macros, Structures - Declaring a Structure - Accessing Structure Elements - How Structure Elements are stored.

Different number systems and their conversions (Decimal, Binary, Octal and Hexadecimal) Binary arithmetic - Addition, subtraction, multiplication and division of binary numbers, 1’s and 2’s complement, Floating point numbers, Coding – BCD, Gray,ASCII

Boolean operations and expressions, Laws and rules of boolean  algebra,  Demorgan’s Theorem, Boolean expressions, Simplification of Booleanexpression.

OR gate, NOR gate , NOT gate , AND gate, NAND gate X-OR gate , X-NOR gate, The universal property of NOR and NAND gate, Karnaugh map (SOP).

Adders (Half and Full), Decoder, Encoder, Multiplexer, De-Multiplexer  (Introductory ConceptsOnly).

Flip-flops- SR flip-flop, JK  flip-flop,  Master  slave  JK flip-flop,  Introduction to Registers  andCounters.

  [2] Floyd and Thomas L, Digital Computer Fundamentals, 11th Edition,  Pearson  International, 2015.

[2]  Balagurusamy E, Programming in ANSI C, 4th Edition, Tata-McGraw-Hill, 2007.

[3]  Deitel H M and Deitel P J, C - How to Program, 7th Edition, Prentice-Hall, 2012.

[4]  Susant K Rout, Cimple,C, Tata-McGraw-Hill Publishing Company Ltd., 2016.

[5]     Malvino, Paul Albert, Leach, Donald P. Gautam Saha, Digital Principles And Applications, 7th Edition,TMH,2010.

[6]  Bartee, Thomas C, Digital Computer Fundamentals, 6th Edition, TMH,2010

ESE-50%

The course introduces programming approach and practical implementation of theoretical concepts in C language. It provides the ability to understand, program, evaluate the given problems. The course also develops analyzing and problem solving skills based  on  C language.

CO2: Implement structured C programs

CO3: Trace and debug the programs written in C language

 1.  Program to implement conditional statements.

 2.  Program to implement the concepts of while loop.

 3.  Program implementing for loop concepts.

 4.  Program to implement 1D array concept.

 5.  Program based on string concepts.

 6.  Program to implement string library functions.

 7.  Program to implement 2D array concepts.

 8.  Program to implement functions.

 9.  Program demonstrating recursion functions.

 10.Program to demonstrate call by value and call by reference.

[2]  Balagurusamy E, Programming in ANSI C, 4th Edition, Tata-McGraw-Hill, 2007.

[3]  Deitel H M and Deitel P J, C - How to Program, 7th Edition, Prentice-Hall, 2012.

[4]  Susant K Rout, Cimple,C, Tata-McGraw-Hill Publishing Company Ltd., 2016.

ESE - 50%

 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

·       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.

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.

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.

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.

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.

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

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

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

[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.

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

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

·              learn to construct circuit and study the circuit performance

·            to measure and record experimental data, analyse the results in comparison with    

          expected values and prepare a formal laboratory report.

·            plot the characteristics and interpret the results obtained

·            to understand the features of Electronic work bench (EWB) & virtual lab of MHRD

Online Experiments using virtual lab/simulation using electronic work bench

1. Verification of Kirchhoff’s voltage and current laws

2. Verification of Thevenin’s and Norton’s theorem.

3. Verification of the maximum power transfer theorem.

4. Study of Zener voltage regulator

5. Study of CE characteristics of a transistor

6. Study of Hartley’s Oscillator.

 Offline Experiments:

1. To familiarize with basic electronic components and equipments (R, C, L, diodes, transistors), digital multimeter, function generator and oscilloscope.

2. Verification of  superposition theorem

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

4. Study of (a) half wave rectifier and (b) Full wave rectifier (FWR).

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

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

7. Measurement of amplitude, frequency & phase difference using oscilloscope.

8. Design of a single stage CE amplifier of given gain.

9. Study of the Colpitt’s oscillator.

[2] Robert L Boylestad,(2014)Introductory circuit analysis, (12^th edition), Universal Book Stall.

[3] R.S.Sedha,(2019)A Text book of Applied Electronics, (Revised Edition), S.Chand and Company Ltd.  

[2] A.S. Sedra, K.C. Smith, A.N. Chandorkar (2014 ). Microelectronic circuits, (6th Edn)., Oxford University Press

• 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.

·         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

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

1. Why We Travel-Pico Iyer

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

sentence fragments, dangling modifiers, faulty parallelism,

Note taking

1. Thinking Like a Mountain

By Aldo Leopold

2. Short Text: On Cutting a Tree

By Gieve Patel

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

By Rev Dr Tveit

2. Poem: Holy Willie's Prayer

By Robert Burns

Paragraph writing

Newspaper report

1. The Story of B24

By Sir Arthur Conan Doyle

 2. Short Text: Aarushi Murder case 

1.Long text:My Story- Nicole DeFreece

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

Essay writing

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

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

Paraphrasing and interpretation skills

Visual Text: Before the Flood

CIA 2=50 

CIA 3= 20 

ESE= 50 marks online and 50 marks written exam

French as a second language in the UG program. The method Génération A1 consists of a student's book and an activity book, both included in the digital manual. It consists of 6 units preceded by an initial section of 'Welcome'. The structure of each unit marks a real learning journey.

Course Objectives

·       To develop linguistic competencies and sharpen oral and written communicative skills

·       To familiarize learners to certain aspects of francophone civilization.

·       To enable learners to engage in simple everyday situations

 Lexicon – Countries and nationalities, domestic animals, days of the week

 Grammar -Subject pronouns, verbs ‘to be’ and ‘to have’, definite and indefinite articles

 Speech acts – Greeting, asking how one is

Lesson 2: Hello, my name is Agnes.

Lexicon – Months of the year, numbers 0-69, the family

Grammar – Formation of the feminine / plural, possessive adjectives

Speech acts -Introducing oneself and others, asking and saying dates

La cigale et la fourmis (The grasshopper and the ant)

Le renard et le corbeau (The fox and the crow)

A French movie

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

           Paris, 1668

Course Description

The detailed text book “Samakaleen Hindi Kavitha” edited by Dr.N Mohanan is an anthology of contemporary Hindi Poems written by representative poets of Hindi Literature. From the medieval poetry ' Kabir Ke Dohe and Sur ke pad 'is also included.  The poets reflect on the social, cultural and political issues which are prevalent in our society since the medieval period. Hindusthani sangeeth-parampara eva kalakar is one of the module. Since translation is a significant area in language and literature, emphasis is being given on it in the syllabus.Bharath ki pramukh sanskruthik kalayein  Yakshagana,Kathakali,Ram Leela,Krishna Leela etc. included in the syllabus to enrich cultural values among students.

Course Objectves: 

Students will be exposed to read, analyse and appreciate poems by learning poetry. Through translation, students will be able to develop translation skills while translating from other language articles. Students will be able to analyses critically the different cultural art forms by learning about the Famous cultural art forms of India.

At the end of the course, the student will be able to:

CO1: Improve their writing skill in literary Hindi by doing asynchronous session assignments.

●    CO2: Improve their analytical skills through critical analysis of the poems.

●    CO3: To appreciate the different aspects of Hindustani music.

●    CO4: To improve their basic research skills through creative and research oriented CIAs.

’  Samakaleen Hindi Kavitha (Collection ofcontemporary Poems)  Edited By: Mahendra Kulashreshta Rajpal and Son’s, New Delhi

Level of knowledge: Analytical

Translation-Practice                English to Hindi and vice- versa.

Ramleela,Krishnaleela,Yakshagaana,kathakali.

Utbhav,Vikas aur paramparaein

Pramukh Sangeethkar-1.Bhimsen Joshi 2.Gulam Ali 3.Pandit Ravishankar 4. Bismillah Khan.

1. 'Samakaleen Hindi Kavitha’ (Collection of Poems) Edited By: Dr.N Mohanan,  Rajpal and Son’s,New Delhi.

1. A Hand Book of Translation Studies         By: Das Bijay Kumar.               

2. Saral Subodh Hindi Vyakaran,                 By: Motilal Chaturvedi. Vinod pustak mandir, Agra-2

3. Anuvad Evam Sanchar –                         Dr Pooranchand Tantan, Rajpal and Son’s, Kashmiri

4. Anuvad Vignan                                       By: Bholanath Tiwar

5. Anuvad Kala                                           By: N.E Vishwanath Iyer.

CIA-2(Mid semester examination)-50 marks

CIA-3(Digital learning-article creation in Hindi Wikipedia)-20 marks

End sem examination-50 marks

Selections from Old Kannada, Medieval Kannada and Modern Kannada Literature are introduced for I Semester BA/ BSc. courses in the syllabus. This will enrich the students' Language and Communication skills, and also their critical and analytical skills.  This will help them to enhance their social sensitivity.  The rhythm of poetry helps the students to acquire natural speech rhythm.

1. Raghavanka- Harishchandra Kavya. Selected chapter( Purada Punyam Purusha Roopinde Pooguthide) 

2. Vachanas- Devara Dasimayya, Basavanna, Akkamahadevi, Aydakki Lakkamma, Gajesha Masanaiah.

    Keerthanegalu: Purandaradasa, Kanakadasa

3. Modern Kannada poetry: Mumbai Jataka- Dr. G.S. Shivarudrappa, Kari Heggadeya Magalu- B.M.Sri 

1. Dheera Kumara- A Folk tale

2. Mandannana Marriage- (An episode in Novel Karvalo) K. P. Poornachandra Tejaswi

3. Gili Kathe-(Translation) -  Ravindranath Tagore

1. Differences in Prounounciation ( L-l) (A-H) 

2. Change of meanings

3. Translation: English to Kannada 

1.Folk Art forms of Karnataka

1. Dollu Kunitha

2.Pooja Kunitha

3.Goravara Kunita

4. Patada Kunitha 

       2. Yashodhara Charite- Janna (Selected Episode) 

       3. Harishchandra Kavya- Raghavanka (Selected Episode) 

       4. Shree Sahitya- B M Shreekantaiah

       5. Janapada Kathegalu- Jee sham paramashivaiah

2. Vachana Chandrike- L Basavaraju

3. Purandara Sahitya Darshana- S K Ramachandra Rao

4. Kanakadasa- Basrur Subba Rao

5. Samagra Kannada Sahitya Charithre- Ed. G.S Shivarudrappa

CIA-2 Mid Semsester Examination- 50 Marks

CIA-3 Translation Assignment- English to Kannada -20 Marks

Attendance -05 Marks

End Semester Examination- 50 Marks

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.

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.

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. .

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.

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)..

Course Description: Introduction to Python Programming1 provides a foundational background for programming in a mathematical setting. Students will learn the basics of object orientated programming, algorithm, flow chart, memory storage, variable scoping, modules, objects and classes, and basic data structures.

Course objectives​: This course will help the learner to

COBJ1: Acquire proficiency in using Python Programming.

COBJ2: Demonstrate the use of Python to understand and interpret the some concepts in Mathematics.

CO1: Write algorithms, flow chart and codes.

CO2: Use modules and functions in python language.

CO3: Acquire proficiency in using conditional structures.

CO4: Solve problems using control structures.

CO5: Use python lists, tuples and dictionaries.

CO6: Write small programs using python programming.

1. Getting started with Python
2. Variable, Printing, input and output
3. Modules and functions
4. If statements, Conditional operators, elif
5. For Loops, Break statements, The loop variable, the range function
6. Numbers, Math Operators, Random numbers, Math functions
7. Counting, Summing, Swapping, Flag variables, Maxes and mins, Comments, Simple debugging, Example programs
8. Strings, Concatenation and repetition, The in operator, Indexing, Slices, Looping, String methods
9. Lists, List methods, Tuples

Janakiharana of Kumaradasa is the first Sanskrit mahakavya, so far as the extant literature goes, to deal solely with the whole of the Ramayana story. Its further interest is that it was produced in Ceylon, showing thereby the wider world over which Sanskrit had its sway. After manuscripts of the full text of the poem in twenty cantos had to come to light in South India, what is now presented was the first systematc and critical study to be undertaken to the author and the text and its position vis-a-vis other Mahakavyas. In addition to the above study and the critical edition of the cantos which were at that time unpublished the examination of the large number of extra-verses found in some MSS of the text and showing them as interpolations.

To develop communication skills

To analyse and appreciate the poem and literature

To acquaint the students with the linguistic features, aesthetic sense and other specific key features of famous Sanskrit poetry.

Selected shlokas 1-60 shlokas

Kumāradāsa is the author of a Sanskrit Mahākāvya called the Jānakī-haraṇa or Jānakī’s abduction. Jānakī is another name of Sita, wife of Rama. Sita was abducted by Ravana when she along with Rama, exiled from his kingdom, and Lakshmana was living in a forest which incident is taken from Ramayana ('Rama’s Journey'), the great Hindu epic written by Valmiki.

The Sinhalese translation of his work, Jānakī-haraṇa, gave credence to the belief that Kumāradāsa was King Kumāradhātusena (513-522 A.D.) of Sri Lanka but scholars do not make any such identification even though the poet at the end of his poem says that his father, Mānita, a commander of the rearguard of the Sinhalese King Kumāramaṇi, died in battle on the day he was born and that his maternal uncles, Megha and Agrabodhi, brought him up. Rajasekhara, who lived around 900 A.D., in his Kāvyamīmāmsā refers to the poet as born blind - मेधाविरुद्रकुमारदासादयः जात्यन्धाः. There is also a tradition that this poem was written by Kalidasa. Kumāradāsa came after Kalidasa and lived around 500 A.D., later than Bhāravi but before Māgha. While writing Jānakī-haraṇa, he certainly had before him Raghuvaṃśa of Kalidasa.^[1] 

Sandhis and lakaras          

Samasa prakaranam

1)      Janakiharanam of Kumaradasa edited by  C K Swaminathan

2)      Janakiharanam edited by G.R. Nandargikar

3)      Sanskrit Grammar Translation from English to Sanskrit by M.R. Kale

Sanskrit Grammar Kannada version by Satish Hegde.                                   

Champu Ramayana of Bhoja 

CIA 1 Wikipedia assignments

CIA 2 Mid semester examinations

CIA 3 Wikipedia assignments

Poems of Bharatiyar and Bharatidasan and poems by women poets with feminine sensibilities  will initiate the students into the modern period with all its complexities. The short stories by Ambai offers a matured vision of life through a varied characters and situatins. A new concept, Cultural Studies, will take the students beyond prescribed syllabus to include music, theatre, painting and films out of whcih the art form of music is taken up for the first semester.

To make the students experience the impact made by Bharathiyar and Bharathidasan during the 20^th century and to bring them to the realities of 21^st century. They will also learn, on their own, about the nuances of music and a unique aesthetic experience it offers 

1. Kannan yen sevagan

2. Kannan yen kozhandhai

3. Kannan yen vilayatu pillai

4. Kannan yen kadhalan

5. Kannan yen kadhali

1. Kadal

2. Kundram

3. Nyaairu

4. Aal

5. Chittrur

Prose including reference to contemporary literary issues

1. Oru karupu silanthi udan oru iravu- Ambai

Cultural studies, Indian festivals

1.Ottadai -Thamarai

2. Kapinaani thozhudhal- Ponmani vairamutu

3. Yendhan tozha- Subhathra

4. Kadal konda pen puram- Andal priya dharshini

5. Pen- P. Kalpana '

Pira mozhi chorkal

Isai

Malliga, R et al (ed).Thamilppathirattu I.Bangalore: Prasaranga,2011

     ‘Oru Karuppuchilanthiyudan Or Iravu’ by Ambai,

      published by Kalachuvadu Publications, Nagercoil, 2014

 Varadarajan, Mu.  Thamil Ilakkia Varalaru . New Delhi:Sahitya Akademi, 2008

 Sivathambi, Ka.Thamil Sirukathaiyin Thorramum Valarchiyum.Coimbatore: NCBH, 2009

 Ragunathan,C.Bharathi: Kalamum Karuthum, Chennai:NCBH, 1971

Ramakrishnan S 100 Sirantha Sirukathaigal, Chennai: Discovery Books, 2013

The second semester has a variety of writing from India, Pakistan and Srilanka. The various essays, short stories and poems deal with various socio-economic, cultural and political issues that are relevant to modern day India and the Indian sub-continent and will enable students to comprehend issues of identity-politics, caste, religion, class, and gender. All of the selections either in the manner of their writing, the themes they deal with or the ideologies that govern them are contemporary in relevance and sensibility, whether written by contemporary writers or earlier writers. Excerpts from interviews, autobiographical writings, sports and city narratives are added to this section to introduce students to the varied genres of literature.

The objectives of this course are

to expose students to the rich literary and cultural diversity of  Indian literatures

to sensitise students on the social, political, historical and cultural ethos that has shaped the nation- INDIA

to enable to grasp and appreciate the variety and abundance of Indian writing, of which this compilation is just a passing glance

to learn and appreciate India through association of ideas in the texts and the external contexts (BhashaUtsav will be an intrinsic help in this endeavour)

more aware culturally, ethically, socially and politically as citizens

the course will sensitize students towards cultural, social, religious and ethnic diversities and help them engage with their peers and all around them in a more understanding and ‘educated’ manner.

it will also enable them through the activities conducted to become more proactive citizens/participants in society.

aware of the dynamics of gender, identity, communalism and politics of this vast nation through its literature.

1.      Jayanta Mahapatra    “Grandfather”

2.      Meena Alexander    “Rites of Sense”

3.      K.Satchidanandan      “Cactus”

4.      Jean Arasanayagam   “Nallur”

1.      Temsula Ao             “The Journey”

2.      A. K Ramanujan       “Annaya’s Anthropology”

3.      Sundara Ramswamy   “Waves”

4.      Ashfaq Ahmed            “Mohsin Mohalla”

5.      T.S Pillai                      “In the Floods”

1.      Salman Rushdie        “Gandhi Now”

2.      Amartya Sen             “Sharing the World”

3.      Suketu Mehta            “Country of the No”

4.      Rahul Bhattacharya     “Pundits From Pakistan” (An Excerpt)

CIA 1: Classroom assignment/test for 20 marks keeping in tune with the course objectives and learning outcomes.

CIA 2: Mid-semester written exam for 50 marks

CIA 3: Collage, tableaus, skits, talk shows, documentaries, Quizzes or any proactive            creative assignments that might help students engage with India as a cultural space. This is to be done keeping in tune with the course objectives and learning outcomes.

Question Paper Pattern        

Mid Semester Exam: 2 Hrs

Section A: 4x5= 20

Section B: 2x15=30

Total                  50

End Semester Exam: 2 hrs

Section A: 5 x 5 = 25

Section B: 5 x 15= 75

Total                   100

The course provides knowledge on the data storage techniques, accessing techniques, the various operations applied on the data and fundamental knowledge of operating system architecture and the various operations performed by the Operating system. This course helps the students to attain comprehensive understanding of programming and to acquire the knowledge on the different tasks like job scheduling, memory  management,  file  handling done by operatingsystems.

CO2: To implement the different operations on the data structures and to evaluate the process scheduling, deadlock system and effective memory management

CO3: To analyse the applications of data structures in real time applications CO4: To analyse the file structure, directory structure and allocation methods.

Introduction to data structures- Arrays- Introduction, Array  Operations,  linear  search  – Binary search – insertion in an array– deletion in an array – sort  – Bubble  Sort  - Insertion  Sort - SelectionSort.

Introduction –Insertion – Deletion – Search - Double Linked List Representations.

Introduction - Stack Operations using arrays and linked lists - Infix to Prefix - Queue Operations using array and linkedlist.

Introduction - Binary Trees- Properties of Binary Trees - Binary Tree  Representations  -  Binary TreeTraversals.

Introduction – Definitions and terminology – graph representations – Depth first search – Breadth first search

Operating system definition, computer system organization, architecture, structure and operations, process, memory and storage management.

Process concepts, scheduling, operations on processes. Process Scheduling: Basic concepts, scheduling criteria, scheduling algorithms, Synchronization: Background, critical section problems.

Deadlock System model, deadlock characterization, methods for handling deadlock, deadlock prevention, avoidance and detection.

Memory Management Strategies: Background, swapping, Memory allocation,  Paging, Structure of the pagetable.

File system structure, directory structure, allocation methods and free-space management.

Self Learning : Segmentation, File system structure.

[2]   Silberschatz, P.B. Galvin and G. Gagne, Operating System  Concepts,  9th  Edition, New Delhi, Wiley India,2012.

      [2]    Seymour Lipschultz: Data Structures, Schaum series TMH,2010.

[3]    William Stallings, Operating system Internals and Design Principles, 7th Edition, Prentice Hall,2017.

[4]    Andrew S. Tanenbaum and Herbert Bos, Modern Operating Systems, 4th Edition, Pearson,2014.

[5]    H.M. Deitel, P. J. Deitel, D. R. Choffnes, Operating Systems, 3rd Edition, Pearson, 2007.

ESE: 50% 

The course introduces programming approach and practical implementation of data structure concepts. The course aims to familiarize with practical and real time application of linear and Non-linear data structure. It provides the ability to identify, apply and evaluate relevant data structure concept for the given problems.

CO1: Understand the need for Data Structures when building application

CO2: To write diversified solutions for given problem

CO3: Improve logical, analytical, problem solving skill using Cprogramming

1.            Inserting an element into one dimensionalarray

2.            Deletion of an element from one dimensionalarray

3.            Implementation of  insertionsort.

4.            Implementation of  selectionsort.

5.            Implementation of BinarySearch.

6.            Implementation of Linear Search in a linked list

7.            Creation of a linked list and inserting nodes into it.

8.            Deletion from a linked list.

9.            Implementation of different operations on a stack.

10.        Implementation of different operations on aqueue

      [2]  Seymour Lipschultz: Data Structures, Schaum series TMH,2010.

ESE: 50% 

Operational amplifier is a versatile device that was originally designed for performing mathematical operations and this device has a myriad of consumer, industrial and scientific applications. The course starts with basic principles of operational amplifiers and various applications of op-amp.

Digital techniques and systems are used today in ever more applications because of their increasingly reliable, efficient, economical operations and the capability of storage. They have  invaded all walks of life that has created  digital revolution. Therefore it is essential to have a strong foundation of the theory and practices of digital electronics. This course deals with the subject from number system, logic gates and timer circuits using IC 555. It also deals with various combinational logic circuits and sequential circuits.

·       Study of op amp parameters and design of inverting and non inverting op amp

·       Familiarize the design and construction of active filters

·      Study of Sinusoidal oscillators

·       Understand the working of different circuits using op-amps

·         Understand different number systems and their inter-conversion

·         Simplify logic equations using Boolean laws, Karnaugh maps

·         Design combinational logic circuits using logic gates

·         Have knowledge about different logic families and choose appropriate IC for circuit design

·         Design sequential circuits like flip flops, counters.

An overview of Differential amplifier, Block diagram of Operational amplifier, Characteristics of an Ideal and Practical Operational Amplifier (IC 741), Open and closed loop configuration, Frequency Response. Parameters of operational amplifier, CMRR. Slew Rate and concept of Virtual Ground. 

 Inverting and non-inverting amplifiers, Summing and Difference Amplifier, Buffer Amplifier Basic Differentiator, Integrator, Phase Shift Oscillator, Wein bridge oscillator, Comparator and Zero-crossing detector, Active low pass and high pass Butterworth filter (1st order only). Filter design techniques and methods, Numerical problems

Decimal, Binary, Octal and Hexadecimal number systems, base conversions. Representation of signed and unsigned numbers, Binary arithmetic; addition, subtraction by 2’s complement method.

Truth Tables of OR, AND, NOT, NOR, NAND, XOR, XNOR, Universal Gates, Basic postulates and fundamental theorems of Boolean algebra. Simplification using Boolean Algebra.

 Standard representation of logic functions (SOP and POS), Minimization Techniques Karnaugh map minimization up to 4 variables for SOP and POS.  Don’t care conditions

 Design of Arithmetic logic circuits –half adder, full adder, 4-bit parallel binary adder, half and full subtractors. Two bit and 4-bit magnitude comparators, Encoders, decimal to BCD encoder, priority encoder, applications, decoders, BCD to octal, BCD to decimal decoders, Multiplexers-4: 1, 8:1 and logic diagram and truth table of each, applications, Demultiplexers-1: 4, 1:8 and logic diagram and  truth table of each, applications.

 Clock and Timer (IC 555): Introduction, Functional Block diagram of IC 555, Astable and monostable multivibrator circuits. Numerical problems 

 Difference between Combinational and sequential logic circuits, SR, D, and JK Flip-Flops, T flip flops, clocked (Level and Edge Triggered) Flip-Flops. Asynchronous inputs, Preset and Clear operations. Race-around conditions in JK Flip-Flop. Master-slave JK Flip-Flop.                               

 Shift registers: Serial-in-Serial-out, Serial-in-Parallel-out, Parallel-in-Serial-out and Parallel-in-Parallel-out Shift Registers (only up to 4 bits).       

 Counters (4 bits): Ring Counter. Asynchronous counters, mod n counters, Decade Counter. Synchronous Counter. Three-bit synchronous up counter Counter design and specifications using K map.   

PHI.

[2]. David A. Bell, (2011). Operational Amplifiers and Linear ICs, Oxford University Press (3rd Edition).

[3]. A Anand Kumar, (2011. ). Fundamentals of digital circuits, (3rd edition ) PHI.

 [4]. T.L.Floyd , (2005).Digital Fundamentals, Universal Book Stall, (8th edition).

[2]. A.P Malvino,( 2011), Principles of Electronics, Tata McGraw-Hill, 7th edition.

[3]. T. L. Floyd,(2005),Electronic Devices and Circuits, PHI, 5th Edition.

[4]. Sedra and Smith, (2008.), Micro Electronic Circuits, Oxford University Press, 5th Edition.

[5]. A.P. Malvino, D.P.Leach and Saha , Digital Principles and Applications, 7th Edition.

[6]. R.P Jain ,(2011),Modern Digital Electronics, TMH publication, 3rd  edition, 2009.