Department of
MATHEMATICS






Syllabus for
Bachelor of Science (Economics, Mathematics, Statistics)
Academic Year  (2019)

 
1 Semester - 2019 - Batch
Paper Code
Paper
Hours Per
Week
Credits
Marks
AEN121 ADDITIONAL ENGLISH 3 3 100
ECO131 PRINCIPLES OF MICROECONOMICS 5 4 100
ENG121 ENGLISH 3 2 100
FRN121 FRENCH 3 3 100
HIN121 HINDI 3 3 50
KAN121 KANNADA 3 03 100
MAT131 DIFFERENTIAL CALCULUS 4 4 100
MAT151 DIFFERENTIAL CALCULUS USING MAXIMA 2 2 50
SAN121 SANSKRIT 3 3 100
STA131 DESCRIPTIVE STATISTICS AND PROBABILITY THEORY 4 4 100
STA151 DESCRIPTIVE STATISTICS AND PROBABILITY THEORY PRACTICAL 2 2 50
TAM121 TAMIL 3 3 100
2 Semester - 2019 - Batch
Paper Code
Paper
Hours Per
Week
Credits
Marks
AEN221 ADDITIONAL ENGLISH 3 3 100
ECO231 PRINCIPLES OF MACROECONOMICS 5 4 100
ENG221 ENGLISH 3 2 100
FRN221 FRENCH 3 3 100
HIN221 HINDI 3 3 50
KAN221 KANNADA 3 03 100
MAT231 DIFFERENTIAL EQUATIONS 4 4 100
MAT251 DIFFERENTIAL EQUATIONS USING MAXIMA 2 2 50
SAN221 SANSKRIT 3 2 100
STA231 STATISTICAL METHODS 4 4 100
STA232 R PROGRAMMING 4 4 100
STA251 STATISTICAL METHODS PRACTICAL 2 2 50
TAM221 TAMIL 3 3 100
3 Semester - 2018 - Batch
Paper Code
Paper
Hours Per
Week
Credits
Marks
AEN321 ADDITIONAL ENGLISH 3 2 50
ECO331 FUNDAMENTALS OF ECONOMIC GROWTH AND DEVELOPMENT 5 4 100
ENG321 ENGLISH 3 2 100
FRN321 FRENCH 3 2 50
HIN321 HINDI 3 2 50
KAN321 KANNADA 3 02 50
MAT331 REAL ANALYSIS 4 4 100
MAT351 INTRODUCTION TO PYTHON PROGRAMMING FOR MATHEMATICS 2 2 50
SAN321 SANSKRIT 3 2 50
STA331 STATISTICAL INFERENCE 4 4 100
STA332 APPLIED EXCEL 4 4 100
STA351 STATISTICAL INFERENCE PRACTICAL 2 2 50
TAM321 TAMIL 3 2 50
4 Semester - 2018 - Batch
Paper Code
Paper
Hours Per
Week
Credits
Marks
AEN421 ADDITIONAL ENGLISH 3 2 50
ECO401 ADVANCED MICRO AND MACROECONOMICS 2 2 50
ECO431 INTERNATIONAL ECONOMICS 5 4 100
ENG421 ENGLISH 3 2 100
FRN421 FRENCH 3 2 50
HIN421 HINDI 3 2 50
KAN421 KANNADA 3 02 50
MAT431 ALGEBRA 4 4 100
MAT451 MATHEMATICAL MODELS USING PYTHON PROGRAMMING 2 2 50
SAN421 SANSKRIT 3 2 50
STA431 SAMPLING TECHNIQUES 4 4 100
STA451 SAMPLING TECHNIQUES PRACTICAL 2 2 50
TAM421 TAMIL 3 2 50
5 Semester - 2017 - Batch
Paper Code
Paper
Hours Per
Week
Credits
Marks
ECO532 MATHEMATICAL ECONOMICS 4 4 100
ECO533 RESEARCH METHODOLOGY 4 4 100
MAT511 ANALYTICAL AND LOGICAL REASONING SKILLS 3 3 100
MAT531 LINEAR ALGEBRA 3 3 100
MAT541A INTEGRAL TRANSFORMS 3 3 100
MAT541B NUMERICAL METHODS 3 3 100
MAT541C NUMBER THEORY 3 3 100
MAT541D CALCULUS OF SEVERAL VARIABLES 3 3 100
MAT541E FINANCIAL MATHEMATICS 3 3 100
MAT551 LINEAR ALGEBRA USING PYTHON 2 2 50
MAT551A INTEGRAL TRANSFORMS USING PYTHON 2 2 50
MAT551B NUMERICAL METHODS USING PYTHON 2 2 50
MAT551C NUMBER THEORY USING PYTHON 2 2 50
MAT551D CALCULUS OF SEVERAL VARIABLES USING PYTHON 2 2 50
MAT551E FINANCIAL MATHEMATICS USING PYTHON 2 2 50
MAT581 INTERNSHIP 0 2 100
STA531 LINEAR REGRESSION MODELS 3 3 100
STA541A STATISTICAL QUALITY CONTROL AND RELIABILITY THEORY 3 3 100
STA541B DESIGN OF EXPERIMENTS 3 3 100
STA541C ACTUARIAL STATISTICS 3 3 100
STA551 LINEAR REGRESSION MODELS PRACTICAL 2 2 50
STA552A STATISTICAL QUALITY CONTROL AND RELIABILITY THEORY PRACTICAL 2 2 50
STA552B DESIGN OF EXPERIMENTS PRACTICAL 2 2 50
STA552C ACTUARIAL STATISTICS PRACTICAL 2 2 50
6 Semester - 2017 - Batch
Paper Code
Paper
Hours Per
Week
Credits
Marks
ECO632 INTRODUCTION TO ECONOMETRICS 4 4 100
ECO633 FINANCIAL ECONOMICS 4 4 100
ECO681 ADDITIONAL ELECTIVE - DISSERTATION 0 4 100
MAT631 COMPLEX ANALYSIS 3 3 100
MAT641A MECHANICS 3 3 100
MAT641B MATHEMATICAL MODELLING 3 3 100
MAT641C COMPUTATIONAL AND APPLIED MATHEMATICS 3 3 100
MAT641D GRAPH THEORY 3 3 100
MAT641E OPERATIONS RESEARCH 3 3 100
MAT651 COMPLEX ANALYSIS USING PYTHON 2 2 50
MAT651A MECHANICS USING PYTHON 2 2 50
MAT651B MATHEMATICAL MODELLING USING PYTHON 2 2 50
MAT651C COMPUTATIONAL AND APPLIED MATHEMATICS USING PYTHON 2 2 50
MAT651D GRAPH THEORY USING PYTHON 2 2 50
MAT651E OPERATIONS RESEARCH USING PYTHON 2 2 50
STA631 TIME SERIES ANALYSIS AND FORECASTING TECHNIQUES 3 3 100
STA641A APPLIED STATISTICS 3 3 100
STA641B STOCHASTIC PROCESS AND QUEUING THEORY 3 3 100
STA641C BIOSTATISTICS 3 3 100
STA651 TIME SERIES ANALYSIS AND FORECASTING TECHNIQUES PRACTICAL 2 2 50
STA652A APPLIED STATISTICS PRACTICAL 2 2 50
STA652B STOCHASTIC PROCESS AND QUEUING THEORY PRACTICAL 2 2 50
STA652C BIOSTATISTICS PRACTICAL 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

For Mathematics Practical Courses:

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

 

Exam Pattern for Statistics practicals

Component

Points

CIA of experiments

80

Test 1

25

Test 2

35

Viva-Voce Exam

10

Total

150

                  Total Marks : 50

Examination And Assesments

EXAMINATION AND ASSESSMENT S

For Theory Courses:

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:
Established in 1969, the Department of Economics is one of the strongest and vibrant departments in South India. Currently, the department, offers a wide array of undergraduate courses and a postgraduate programme with multiple specializations. To promote the holistic development of the students and to sustain the academic creativity and inventiveness of the faculty the department engages in numerous workshops, seminars, industrial interfaces, faculty development programmes and many such endeavors. 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. Department of Statistics is committed to excellence in teaching and equipping students to become practicing statisticians. The main objectives of the department are: 1. To acquaint students with various statistical methods and their applications in different fields 2. To cultivate statistical thinking among stu
Mission Statement:
Vision: Excellence and Service Mission : Department of Economics Preparing students to understand and resolve the multitude of challenges in the economy through relevant research based education. We aim to educate our students to become successful professionals and socially responsible citizens who contribute positively to the socio-economic well-being. Department of Mathematics To organize, connect, create and communicate mathematical ideas effectively, through 4D's; Dedication, Disc
Introduction to Program:
The course is designed to develop students with respectable intellectual levels. It seeks to expose the students to various concepts in Economics, Mathematics and Statistics and encourage them to uphold scientific integrity and objectivity in professional endeavors. Economics : The undergraduate courses in economics are structured to contribute to the student?s liberal education with a multiplicity of combinations. The programmes impart analytical skills and intellectual maturity to comprehend the complexities in the working of the economy. The course provides a sound theoretical basis in economic theory supplemented by practical applications of theories. The first four semesters are devoted to give a firm background in microeconomics, macroeconomics, development economics & international economics. In the fifth and sixth semesters, the students take two compulsory courses namely Indian Economy since Independence & Financial Economics. They have elective courses in the final year encompassing two options each semester. The elective courses offered by the department are mathematical methods for economics or health economics in the fifth semester and statistical methods for economics or environmental economics in the sixth semester. 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
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 On successful completions of the BSc EMS Programme students will be able to PSO1.Demonstrate the problem solving skills in mathematical sciences. PSO2. Use effectively the mathematical and statistical tools in the analysis of economic and social problems. PSO3. Address current economic issues and trends. PSO4. Acquire a strong foundation in Statistical analytics PSO5. Express proficiency in oral and written communications to appreciate innovation in research. PSO6. Develop industry-focused skills to lead a successful career.

AEN121 - ADDITIONAL ENGLISH (2019 Batch)

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

Course Objectives/Course Description

 

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)

  

 

Learning Outcome

Learning Outcome

 

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.

 

Unit-1
Teaching Hours:10
Poetry
 

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”

Unit-2
Teaching Hours:15
Short Stories
 

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”

Unit-3
Teaching Hours:20
Essays
 

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”

 

Text Books And Reference Books:

Contemporary knowledge of the soci-political situation in the sub-continent

The text book copy "Reading Diversity"

Essential Reading / Recommended Reading

On-line resources to appreciate the text through the Comprehension Questions

Evaluation Pattern

CIA 1:  Classroom assignment for 20 marks keeping in mind the objectives and learning outcomes of the course.

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

ECO131 - PRINCIPLES OF MICROECONOMICS (2019 Batch)

Total Teaching Hours for Semester:75
No of Lecture Hours/Week:5
Max Marks:100
Credits:4

Course Objectives/Course Description

 

Develop the conceptual foundations and analytical methods used in micro economics; Familiarize the students with the basics of consumer behaviour, behaviour of firms and market equilibrium; Analyse the market structures of perfect competition, oligopoly and monopolies; Introduce the game theory and welfare economics

Learning Outcome

  • Understand that economics is about the allocation of scarce resources and how that results in trade-offs.
  • Understand the role of prices in allocating scarce resources in market economies and explain the consequences of government policies in the form of price controls.
  • Appreciate positive as well as normative view points on concepts of market failure and the need for government intervention.

Unit-1
Teaching Hours:16
Micro Economics and the Theory of Consumption
 

Ten principles of economics: How people make decisions, how people interact and how the economy as a whole works- Role of observations and theory in economics- Role of assumptions- Role of Economic models- Wants and resources; Problem of choice, Production Possibility Frontier; Opportunity costs.

Unit-2
Teaching Hours:14
Demand and supply
 

Law of demand, Reasons for the downward slope of the demand curve. Exceptions to the law; Changes in demand; Elasticity of Demand- Degrees of price elasticity with diagrams; Factors determining price elasticity, methods of measurement. Income elasticity demand; Cross elasticity demand; Laws of supply, Changes in supply- Consumers, Producers and the Efficiency of the Markets: Consumer‟s surplus (Marshall), Producer surplus and Market efficiency- Externalities and Market inefficiency- Public goods and common resources.

Unit-3
Teaching Hours:16
Theory of Production and Cost
 

Production function; Law of Variable proportions; Laws of returns, Economies of scale; Producer's Equilibrium with the help of iso-quants and iso-cost lines. Cost function - Important cost concepts. Short run and long run cost analysis (traditional theory) Modern theory of cost- Long run and short run - Revenue analysis - AR and MR.

Unit-4
Teaching Hours:19
Product Pricing and Factor Pricing
 

Market structure. Perfect competition, Price and output determination. Role of time element in market price determination. Monopoly- Price output determination, Price discrimination Monopolistic Competition. Price and Output determination. Selling costs. Product differentiation. Wastes in monopolistic competition. Oligopoly Price determination (collusive pricing, price leadership), Features of Duopoly and Monopsony

Unit-5
Teaching Hours:10
Theory of Consumer Choice and New Frontiers in Microeconomics
 

Cardinal utility analysis; Law of diminishing marginal utility; Consumer's surplus (Marshall), Ordinal utility analysis. Indifference curves- Properties, consumer's equilibrium, Price effect, Income Effect and substitution effect. New Frontiers in Microeconomics: Introduction to concepts of Asymmetric Information, Political economy, Behavioral Economics.

Text Books And Reference Books:

1. N. Gregory Mankiw (2012). Principles of Microeconomics, 4th Edition, Cengage Learning India.

2. Lipsey, R.G. and K.A. Chrystal (1999), Principles of Economics (IX Ed.), Oxford University Press, Oxford.

Essential Reading / Recommended Reading

1. Ramsfield, E. (1997), Micro Economics (IX edition), W.W Norton and company, New York.

2. Pindyck and Rubinfield (2009), Micro Economics (VII edition), Pearson Education.

3. Ray,N.C.(1975), An Introduction to Micro economics, Macmillan company of India Ltd, New Delhi.

4. Samuelson, P.A. and W.D. Hague (1972), A textbook of Economic Theory, ELBS Longman group, London.

5. H.L. Ahuja, Principles ofMicroeconomics, S.Chand, New Delhi.

 

Evaluation Pattern

CIA - 1: 20 marks.

CIA - 2: Mid Semester Examination - 50 marks; 2 hours.

CIA - 3: 20 marks.

ENG121 - ENGLISH (2019 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
Unit 1 1. The Happy Prince By Oscar Wilde 2. Shakespeare Sonnet 18
 

Unit-1
Teaching Hours:6
language
 

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

 

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-2
Teaching Hours:6
language
 

sentence fragments, dangling modifiers, faulty parallelism,

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
unit 7
 

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

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

Unit-7
Teaching Hours:6
Language
 

Paraphrasing and interpretation skills

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 (2019 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:8
Dossier 0- Discovery
 

1.      First and Last Names of French Families

2.      Few French and International personalities

 

 

Unit-2
Teaching Hours:8
Dossier 1 - The Ones, the others
 

1.      Greetings- Usage of “tu” and “Vous”

2.      Telephone Numbers in France 

3.      Some cultural / festive events in Paris- The Francophone

Unit-3
Teaching Hours:8
Dossier 2- Here, Elsewhere
 

1.      Pontoise and Ile de France- The City

2.      Annecy- Youth hostel and accommodation

3.      The wording of address in France- postal codes and departments

 

 

Unit-4
Teaching Hours:8
Dossier 3 Tell me who you are
 

1.      The French and sports- The Reality shows

2.      New ways of meeting- The Differences men/ women

3.      Surnames of married women/ children- Announcements and family functions

 

 

Unit-5
Teaching Hours:8
Dossier 4 Each person at his own pace
 

1.      Rhythm of Life and Rhythm of the city- Internet and media in daily life

2.      The Outings 

3.      Family life and Household chores- Routine and change in rhythm

Unit-6
Teaching Hours:5
Tales
 

1.      The tooth of the cat – Renaud FABBRI 

2.      The Princess and the pea- Odile THIEVENAZ

Text Books And Reference Books:

1.      Berthet, Annie, Catherine Hugot et al. Alter Ego + A1. Paris : Hachette, 2012 

2.      Krishnan, Chitra. De Bouche à Oreille. New Delhi : Langers International Pvt Ltd., 2009

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 – Assignments / Letter writing / Film review

10%

 

CIA 2 –Mid Sem Exam

25%

 

CIA 3 – Quiz / Role Play / Theatre / Creative projects 

10%

 

Attendance

05%

 

End Sem Exam

 

50%

Total

50%

50%

HIN121 - HINDI (2019 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:50
Credits:3

Course Objectives/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:

  • to impart the knowledge of poetics
  • to acquire translation skills
  • to expose students to veriety of texts to interact with them
  • to help students develop a taste to appreciate works of literature through the organisation of language
  • to help students understand the relationship between the world around them and the text
  • to improve their oral and written skills
  • to expose them to the world of music

Learning Outcome

Students will be exposed to the world of poetry and Music. Through translation and cultural studies, students can understand different languages, literature and culture. Grammar portions will help the students to develop their language proficiency.

Unit-1
Teaching Hours:15
Samakaleen Hindi Kavitha (Collection of contemporary Hindi Poems),Kabir Ke Dohe and Sur Ke Pad.
 

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

 

Level of knowledge: Analytical

 

Unit-2
Teaching Hours:10
Translation-Theory and Practice
 

                                                                                            

                                      

                                          

                                           

         

Translation-Practice                English to Hindi and vice- versa.

Unit-3
Teaching Hours:10
Bharath ki pramukh sanskruthic kalayen-
 

Ramleela,Krishnaleela,Yakshagaana,kathakali.

Unit-4
Teaching Hours:5
Hindusthani Sangeeth-parampara evam pramukh kalakar
 

Utbhav,Vikas aur paramparaein

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

Text Books And Reference Books:

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

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.

                                                                 

Evaluation Pattern

CIA-1(Digital learning-Editing of Hindi article in Hindi Wikipedia )-20 marks

CIA-2(Mid semester examination)-50 marks

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

End sem examination-50 marks

KAN121 - KANNADA (2019 Batch)

Total Teaching Hours for Semester:45
No of Lecture Hours/Week:3
Max Marks:100
Credits:03

Course Objectives/Course Description

 

Course Description

Select Old Kannada, Medieval Kannada and Modern Kannada Literatures are  introduced for I Semester BA/ BSc. courses in the syllabus. This will enrich the  Language and Communication  skills, Critical and analytical thinking of the students. this will help them to enhance their social sensitivity.  

Course Objectives

  • To expose learners to variety of texts to interact with them
  • To help learners develop a taste to appreciate works of Literature through the organization of Language
  • To help learners understand the relationship between the world around them and the text
  • To help lerarners to improve their oral and written skills for their respective career goals
  • To help improve their communiction skills for larger academic purposes and vocational purposes

Learning Outcome

  •  Develop an analytical and critical bent of mind to compare and analize the various literature they read and discuss  in class
  • Develop a more humane and service orented aproach to all forms of life around them
  • Ability to communicate effectively in speech and in writing
  • Ability to use better language to communicate effectively

 

Unit-1
Teaching Hours:20
Poetry -Old, Medivial and Modern Kannada Literature
 

1. Poetry (Old Kannada literature)

1 Pampa-Bharata Bahubali Prasamga

2. Janna- Chitramapatre Ramate Naari

3. Raghavanka- Purada Punyam Purusha Roopinde Pogutide

 

2. Vachanas & Keerthanas (Medieval Kannada Literature)

          1. Devaradasimayya 2. Basavanna 3. Akkamahadevei

          4. Allamaprabhu 5. Urilingapeddi 6. Purandara Dasa

          7. Kanakadasa 8. Vadiraja  

  3. Modern Kannada Poetry

        1. B.M.Shree- Kaarihrggadeya Magalu

        2.  Bendre- Hakki Haarutide Nodidira

        3. Gopala Krishna Adiga- Neharu Nivruttaraguvudill

        4. G.S Shivarudrappa – Mumbai Jaataka

        5. T Yellappa- Avaru Mattu Naavu

       6. Muktayakka- Mooru Mukhagalu

 

Unit-2
Teaching Hours:15
. Prose: Short Stories
 

 

1. Ramana Savaari Santege Hodaddu- K Sadashiva

       2. Chappaligalu- Sara Abubakkar

       3. Aeroplane mattu Chitte- K.P. Poornachandra Tejaswi

       4. Gilikathe: Ravindranatha Tagore (Translated by   S.G. Kulakarni)

        

Unit-3
Teaching Hours:10
Language Skills
 

 

     1.  A- H, L-l, N-n, Hrasva- Deerga, Ottakshara, Joining of words

     2. Report Writing

     3. Folk Art forms of Karnataka

Text Books And Reference Books:

       1. Adipurana- Pampa

       2. Yashodhara Charite- Janna

       3. Harishchandra Kavya- Raghavanka

       4. Shree Sahitya- B M Shreekantaiah


                                                                           

Essential Reading / Recommended Reading

1. Pampa Ondu Adhyayana- G S Shivarudrappa

2. Vachana Chandrike- L Basavaraju

3. Purandara Sahitya Darshana- S K Ramachandra Rao

 

 

 

Evaluation Pattern

CIA-1 Digital Learning - Wikipedia- 20 Marks

CIA-2 Mid Semsester Examination- 50 Marks

CIA-3 Digitization of Kannada Books - 20 Marks

End Semester Examination- 50 Marks

 

MAT131 - DIFFERENTIAL CALCULUS (2019 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 – 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. - Maxima and Minima.

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, 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 (2019 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 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

SAN121 - SANSKRIT (2019 Batch)

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

Course Objectives/Course Description

 

The I semeste B.A/B.Sc students are prescribed wih the text " Ruthusamharam"

Strotra shithya 

Learning Outcome

The students will have exposure for the  style of poetry. Ruthusamhara is the work based on the nature which makes the students to understand about changes in nature

Unit-1
Teaching Hours:30
test
 

poery Buddhacharitham III canto, up to 52 stanzas.

Level of Knowledge: Conceptual/ descriptive/ Analytical.

Unit-1
Teaching Hours:35
Ruthusamharam
 

Ruthusamharam

Strotra sahithya 

Unit-2
Teaching Hours:5
Grammar
 

Grammar

Grammer- Sandhis and lakaras                                                          

 Level of Knowledge:  Analytical /Conceptual

Unit-3
Teaching Hours:5
. Language component.
 

language component.

Translation from Sanskrit to english                                                     

Level of Knowledge:  Analytical/. Conceptual

Composition to write in Sanskrit                                                              

Level of Knowledge:  Analytical/. Conceptual

Comprehension in Sanskrit                                                                     

Level of Knowledge:  Analytical/. Conceptual

Text Books And Reference Books:

Ruthusamharam

 Strotra sahitya : Madhurashtaka and Geeta govinda                                    

                            M.S. Subbalakshmi , Balamurali Krishna 

Essential Reading / Recommended Reading

1) Ruthusamharam- Shivaprasad Dvivedi

2) Ruthusamharam- Dr. K . Narayanabhatta

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

4) Sanskrt Grammar Kannada version by Hegde. 

Evaluation Pattern

CIA 1  Wikipedia  assignment   Evaluated for 20 marks

CIA 2 Midsemester examination   Evaluated for 50 marks

CIA 3  Wikipedia assignment   Evaluated for 20 marks

          End semester   Evaluated for 50 marks

 

STA131 - DESCRIPTIVE STATISTICS AND PROBABILITY THEORY (2019 Batch)

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

Course Objectives/Course Description

 

This course is designed to introduce the historical development of statistics, presentation of data, descriptive measures and fitting mathematical curves for the data.
This course also introduces measurement of relationship of quantitative and qualitative data and the concept of probability.

 

Learning Outcome

CO1:To enable the students understand and apply the descriptive measures and probability for data analysis.

CO2: Implement theoritical concepts of descriptive measures and probability

Unit-1
Teaching Hours:10
Organization and presentation of data
 


Origin and development of Statistics, Scope, limitation and misuse of statistics. Types of data:
primary, secondary, quantitative and qualitative data. Types of Measurements: nominal, ordinal,
discrete and continuous data. Presentation of data by tables: construction of frequency
distributions for discrete and continuous data, graphical representation of a frequency
distribution by histogram and frequency polygon, cumulative frequency distributions (inclusive
and exclusive methods).

Unit-2
Teaching Hours:15
Descriptive Statistics
 

Measures of location or central tendency: Arthimetic mean, Median, Mode, Geometric mean,
Harmonic mean. Partition values: Quartiles, Deciles and percentiles. Measures of dispersion:
Mean deviation, Quartile deviation, Standard deviation, Coefficient of variation. Moments:
measures of skewness, Kurtosis.

Unit-3
Teaching Hours:10
Correlation
 

Correlation: Scatter plot, Karl Pearson coefficient of correlation, Spearman's rank correlation coefficient, multiple and partial correlations (for 3 variates only).

Unit-4
Teaching Hours:15
Basics of probability
 

Random experiment, sample point and sample space, event, algebra of events. Definition of Probability: classical, empirical and axiomatic approaches to probability, properties of probability. Theorems on probability, conditional probability and independent events, Laws of total probability, Baye’s theorem and its applications.

Unit-5
Teaching Hours:10
Association of attributes
 

Relation between class frequencies, consistency of data, independence of attributes, criterion of independence, association of attributes: Yule’s coefficient of association, Yule’coefficient of colligation.

Text Books And Reference Books:

1. Rohatgi V.K and Saleh E, An Introduction to Probability and Statistics, 3 rd edition, John
Wiley & Sons Inc., New Jersey, 2015.
2. Gupta S.C and Kapoor V.K, Fundamentals of Mathematical Statistics, 11 th edition, Sultan
Chand & Sons, New Delhi, 2014.

Essential Reading / Recommended Reading

1. Mukhopadhyay P, Mathematical Statistics, Books and Allied (P) Ltd, Kolkata, 2015.
2. Walpole R.E, Myers R.H, and Myers S.L, Probability and Statistics for Engineers and
Scientists, Pearson, New Delhi, 2017.
3. Montgomery D.C and Runger G.C, Applied Statistics and Probability for Engineers,
Wiley India, New Delhi, 2013.
4. Mood A.M, Graybill F.A and Boes D.C, Introduction to the Theory of Statistics, McGraw
Hill, New Delhi, 2008.

Evaluation Pattern

Component

Marks

CIA I

10

Mid Semester Examination (CIA II)

25

CIA III

10

Attendance

05

End Semester Exam

50

Total

100

STA151 - DESCRIPTIVE STATISTICS AND PROBABILITY THEORY PRACTICAL (2019 Batch)

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

Course Objectives/Course Description

 

The course is designed to provide a practical exposure to the students in Basic concepts of Excel and different way of representation of data.

Learning Outcome

CO1:Understand data and analysis

CO2: Implement EXCEL in given data set

CO3: Create  a research statement and collect data related to the statement along with the representation of data and
practical exposure on DAP.

Unit-1
Teaching Hours:30
List of practical assignments
 

1.     Questionnaire preparation, data collection and data base creation using Excel sheet

2.     Basic data manipulation techniques: sorting, filtering, conditional formatting 

3.     Pivot Table construction

4.     Diagrammatic representation

5.     Graphical representation

6.     Descriptive statistics using statistical functions and Data Analysis Pack (DAP)

7.     Exercise on correlation and Correlation matrix

8.     Exercise on partial and multiple correlation coefficient.


 

Text Books And Reference Books:

1.     Rohatgi V.K and Saleh E, An Introduction to Probability and Statistics, 3rd edition, John Wiley & Sons Inc., New Jersey, 2015.

2.     Gupta S.C and Kapoor V.K, Fundamentals of Mathematical Statistics, 11th edition, Sultan Chand & Sons, New Delhi, 2014.

Essential Reading / Recommended Reading

1.     Mukhopadhyay P, Mathematical Statistics, Books and Allied (P) Ltd, Kolkata, 2015.

2.     Walpole R.E, Myers R.H, and Myers S.L, Probability and Statistics for Engineers and Scientists, Pearson, New Delhi, 2017.

3.     Montgomery D.C and Runger G.C, Applied Statistics and Probability for Engineers, Wiley India, New Delhi, 2013.

4.     Mood A.M, Graybill F.A and Boes D.C, Introduction to the Theory of Statistics, McGraw Hill, New Delhi, 2008.

Evaluation Pattern

Section

Parameters

Marks

A

Objective/Aim

2

B

Analysis

3

C

Interpretation

3

D

Timely submission

2

Total

 

10

TAM121 - TAMIL (2019 Batch)

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

C