Syllabus for Bachelor of Science (Economics, Mathematics, Statistics)



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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-Wikipedia)
CIA-2(Mid semester examinatio)
CIA-3(Digital learning-Wikipedia)
End sem examination
KAN121 - KANNADA (2017 Batch)

Total Teaching Hours for Semester:40

No of Lecture Hours/Week:3

Max Marks:50

Credits:02

Course Objectives/Course Description


Selected Vachanas Tripadi’s and Keerthanas of the Medieval Kannada Literature are introduced in the syllabus. This will enrich the poetic skills of the students. Since translation is a significant area in language and literature, emphasis is being given on theory as well as practice of it in the syllabus. Famous cultural art forms of India are also included in this semester. Language skills can be improved by giving focus on Grammar and Comprehension.


Learning Outcome

Medieval poetry in Kannada has been introduced in the syllabus. Studies of various literary forms namely Vachana, Tripadi, Shatpadi and Keerthanas will enable the students to understand the language and literature of the medieval period. A module on translation will expose the students to understand the linguistic literary and cultural traditions of various languages. To create cultural awareness among students, various cultural art forms of Karnataka have been included in the syllabus.

Unit-1

Teaching Hours:20



Medieval Kannada Literature: Poetry-Music-Language Skills
Unit-2

Teaching Hours:10

Folk Art forms of Karnataka

(A).Dollu Kunita (B). Pooja Kunita (C). Somana Kunita (D). Goravara Kunita


Unit-3


Teaching Hours:10

Language Skills

1. Translation Theory and Practice

2. Usage of alphabets in different contexts:

3. l & L

4. a & H


5. n & N

6. Hrasva and Deergha alphabets


7. Importance of Ottakshara

Text Books And Reference Books:

History and Philosophy of Vachanas Movement:

Selected Vachanas of Vachanakaras /Vachanakarthiyaru:

Paper -1 Medieval Kannada Literature: Poetry-Music-Language Skills 30 Marks

1. Devara Dasimayya


2. Basavanna
3. Allamaprabhu
4. Akkamahadevi
5. Ambigara chowdiah
6. Ayadakki Lakkamma
7. Sarvagna
8. Kanakadasa
9. Kumaravyasa
10. Hindustani/ Karnatak - Music and Musicians

Essential Reading:

1. Basavannanavara vachanagalu: L. Basavarjaju

2. Akkana vachanagalu: L. Basavarajau

3. Allamana Vachanagalu; L . Basavaraju

4. Uttarana Pourusha: Kumaravyasa

5. Paramartha: L. Basavaraj

Folk Art forms of Karnataka 10 Marks

(A).Dollu Kunita (B). Pooja Kunita (C). Somana Kunita (D). Goravara Kunita

Language Skills 10 Marks


1. Translation Theory and Practice

2. Usage of alphabets in different contexts:

3. l & L

4. a & H


5. n & N

6. Hrasva and Deergha alphabets


7. Importance of Ottakshara
Essential Reading / Recommended Reading

1. Acomparative study of Sarana and Dasa literature, P. S Srinivasa,University of Madras (1981)

2. Vyavaharika Kannada: HSK

3. Dr. Thipperudraswamy : Sharanara Anubhava Sahitya

4. K. Marulasiddappa and K. R. Nagaraj (Ed) Vachana Kammata, Bangalore University, Bangalore

Evaluation Pattern

CIA-1 Digital Learning - Wikipedia
CIA-2 Mid Semsester Examination
CIA-3 Digitization of Kannada Books
End Semester Examination
MAT131 - DIFFERENTIAL CALCULUS (2017 Batch)

Total Teaching Hours for Semester:60

No of Lecture Hours/Week:4

Max Marks:100

Credits:4

Course Objectives/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.

Learning Outcome

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


Compute limits, derivatives and examine the continuity, differentiability of a function at a point.

Derive Mean value theorems and its applications.

Find limit of a function using L’Hospital’s rule.

Compute successive differentiation, use Leibnitz theorem to solve problems and master the fundamental concepts of Partial Differentiation.

Be familiar with the curve tracing.

Unit-1


Teaching Hours:20

Limits, Continuity, Differentiability and Mean Value Theorems

Definition of the limit of a function (epsilon-delta) form – Continuity – Types of discontinuities – Properties of continuous functions on a closed interval, uniform continuity – 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

H. Anton, I. Birens and S. Davis, Calculus, John Wiley and Sons Inc., 2002.

F. Ayres and E. Mendelson, Schaum's Outline of Calculus, 6th ed. USA: Mc. Graw Hill., 2013.

J. Stewart, Single Variable Essential Calculus: Early Transcendentals, 2nd ed.: Belmont, USA: Brooks/Cole Cengage Learning., 2013.

S. Narayanan & T. K. M. Pillay, Calculus, Reprint, India: S. Viswanathan Pvt. Ltd., 2009. (vol. I & II.)

M. Spivak, Calculus, 3rd ed., Cambridge University Press, 2006.

T.M. Apostol, Calculus, Vol-II , Wiley India Pvt. Ltd., 2011.

J. Edwards, An elementary treatise on the differential calculus: with applications and numerous example, Reprint, Charleston, USA: BiblioBazaar, 2010.

N. P. Bali, Differential Calculus, New ed. New Delhi, India: Laxmi Publications (P) Ltd., 2012.

G.B. Thomas and R.L. Finney, Calculus, Pearson Education, 2007.

Evaluation Pattern

Component

Mode of Assessment

Parameters

Points

CIA I


MCQ, Written Assignment. Reference work

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


Assignment / Written Assignment

Written Assignment based on Asymptotes, Singular points, Cusp, node and conjugate points - Tracing of curves.

Written Assignment based on Improper integrals – beta and gamma functions – properties – relation between beta and gamma functions

10

Attendance



Attendance

Regularity and Punctuality

05

ESE


Basic, conceptual and analytical knowledge of the subject

50

Total



100

MAT151 - DIFFERENTIAL CALCULUS USING MAXIMA (2017 Batch)

Total Teaching Hours for Semester:30

No of Lecture Hours/Week:2

Max Marks:50

Credits:2

Course Objectives/Course Description

The course Differential Calculus Using MAXIMA 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.


Learning Outcome

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


Acquire proficiency in using Maxima to study Differential Calculus

Demonstrate the use of Maxima to understand and interpret the core concepts in Differential Calculus


Unit-1


Teaching Hours:30

Proposed Topics

FUNCTIONS: Sketch the graph of various functions: explicit-implicit-parametric-polar.

LIMITS: Evaluation of Limits using built-in function in MAXIMA and illustration of the same graphically.

CONTINUITY: Demonstration of continuous functions and types of discontinuities.

DIFFERENTIABILITY: Determination of derivatives .- Graphical interpretation of derivatives.

MEAN VALUE THEOREMS: Verification.

MAXIMA AND MINIMA: Evaluation of extreme points.

SUCCESSIVE DIFFERENTIATION: Calculation of nth derivatives of functions.

PARTIAL DIFFERENTIATION: Partial differentiation of functions of two variables.

CURVE TRACING: Tracing of standard functions.

APPLICATION OF DIFFERENTIATION


Text Books And Reference Books:

Zachary Hannan, wxMaxima for Calculus I (Creative Commons Attribution-Non Commercial-Share Alike 4.0 International), 1st ed: Zachary Hannan - Solano Community College, 2015.

Zachary Hannan, wxMaxima for Calculus II (Creative Commons Attribution-Non Commercial-Share Alike 4.0 International), 1st ed: Zachary Hannan - Solano Community College, 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 assessment (CIA), lab examinations and the lab 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 fundamentals



Lab Assignments

CIA II


Familiarity with the commands and execution of them in solving problems. Analytical and Problem Solving skills

Lab Work


Problem Solving

CIA


Average of CIA I and CIA II

20

MSE



Conceptual clarity and analytical skills in solving Problems using Mathematical Package

Lab Exam based on the Lab exercises

10

Lab Record



Systematic

Documentation of the Lab exercise

Record work

07

Attendance



Regularity and Punctuality

Lab attendance

03

95 – 100% :3



90 – 94% : 2

85 – 89% : 1

ESE

Proficiency in executing the commands appropriately.



Comprehensive Lab Examination

10

Total



50

SAN121 - SANSKRIT (2017 Batch)

Total Teaching Hours for Semester:45

No of Lecture Hours/Week:3

Max Marks:50

Credits:2

Course Objectives/Course Description

The I semeste B.A/B.Sc students are prescribed wih the text "Raghuvamsam canto -II


Strotra shithya
Learning Outcome

The students will have exposure for the mahakavya style of poetry. The knowledge of Raghuvamsa which is based on Ramayana and the great poet Kalidasa.


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

Raghuvamsam canto -II

Raghuvamsam canto-II 75 shlokas to expose to the Mahakavyas


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:

Raghuvamsam canto -II


Strotra sahitya : Madhurashtaka and Geeta govinda
M.S. Subbalakshmi , Balamurali Krishna
Essential Reading / Recommended Reading

1) Raghuvamsam of Kalidasa by N.P. Unni.


2) sanskrit grammar Translation from English to Sanskrit by M.R.Kale
3) Sanskrt Grammar Kannada version by Hegde.
Evaluation Pattern

CIA 1 Wikipedia assignment


CIA 2 Midsemester examination
CIA 3 Wikipedia assignment
STA131 - DESCRIPTIVE STATISTICS AND PROBABILITY THEORY (2017 Batch)

Total Teaching Hours for Semester:90

No of Lecture Hours/Week:6

Max Marks:150

Credits:6

Course Objectives/Course Description


This course is designed as the foundation course for the students of statistics. It deals with basic data manipulation techniques using excel, statistical techniques to summarize and describe the data, probability theory. Correlation and regression are also dealt with.

Learning Outcome

After completion of this course the students will be able to


perform data manipulation using excel

perform graphical and diagrammatic representation of statistical data, like bar diagram, pie, histogram and line diagram

understand how to construct the pivotal tables and use of the statistical functions to calculate the descriptive statistics

understand the theory behind the descriptive statistics, like measures of central tendency, dispersion, skewness and kurtosis

understand the theory of probability and its applications

learn about correlation and regression and their application

Unit-1

Teaching Hours:20



Basic Concepts

Concepts of a statistical population and sample from a population, quantitative and qualitative data, nominal, ordinal and time-series data, discrete and continuous data. Presentation of data by tables and by diagrams, 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:20

Descriptive Statistics

Measures of location (or central tendency) and dispersion, moments, measures of skewness and kurtosis, cumulants. Bivariate data: Scatter diagram, principle of least-square and fitting of polynomials and exponential curves.


Unit-3

Teaching Hours:15

Correlation and Regression

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


Unit-4

Teaching Hours:20

Probability Theory

Random experiment, sample point and sample space, event, algebra of events, Definition of Probability - classical, relative frequency and axiomatic approaches to probability, merits and demerits of these approaches (only general ideas to be given). Theorem on probability, conditional probability, independent events. Baye’s theorem and its applications.


Unit-5

Teaching Hours:15

Statistical Data Analysis using Ms-Excel:

MS Excel: Excel Worksheet, creating data files in Excel, formatting cells, Sorting, Filtering, Pivot tables, conditional statements, mathematical and statistical functions. Graphical representation and curve estimation. Introduction to data analysis pack and statistical analysis using DAP.


Practical Assignments using Ms-Excel:

Questionnaire, data collection and data base creation using Excel sheet

Pivot Table construction

Diagrammatic/Graphical representation (Bar, Pie, Histogram, Line and Scatter diagram)

Descriptive statistics using statistical functions and DAP

Correlation and Correlation matrix

Curve estimation (Linear, Polynomial, exponential)


Text Books And Reference Books:

J.E. Freund, Mathematical Statistics with Applications, 7th Ed., Pearson Education, 2009.

A.M. Goon, M.K. Gupta and B. Dasgupta, Fundamentals of Statistics, Vol. I, 8th Ed., World Press, Kolkatta, 2005.

S.C. Gupta and V.K. Kapoor, Fundamentals of Mathematical Statistics, 11th Ed., Sultan Chand and Sons, 2007.

W.J DeCoursey, Statistics and Probability for Engineering Applications, Elsevier Science (USA), 2009.

Essential Reading / Recommended Reading

R.V. Hogg, A.T. Craig and J.W. Mckean, Introduction to Mathematical Statistics, 6th Ed., Pearson Education, 2005.

A.M. Mood, F.A. Graybill and D.C. Boes, Introduction to the Theory of Statistics, 3rd Ed., Tata McGraw Hill Publication, 2007.

Evaluation Pattern

Evaluation Pattern:

Component


Marks
Continuous Internal Assessment-I
10
Continuous Internal Assessment-II
25
Continuous Internal Assessment-III
10
Attendance
5
End Semester Exam(Written Test)
50
Practicals
50
Total
150

End Semester Exam Pattern:


Section
Total number of questions
No. of questions to be answered
Max. Marks for each question
Total Marks
A
12
10
3
30
B
6
5
6
30
C
6
4
10
40
Total
24
19

100


TAM121 - TAMIL (2017 Batch)

Total Teaching Hours for Semester:45

No of Lecture Hours/Week:3

Max Marks:50

Credits:2

Course Objectives/Course Description


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 of Chandra with its contemporary style and texture offer a glimpse of an amazing variety of characters going through the riddles of human existence. A new concept, Cultural Studies, will take the students beyond prescribed syllabus to include the architecture, customs, beliefs and faiths of Indian society.


Learning Outcome

To make the students experience the impact made by Bharathiyar and Bharathidasan during the 20th century and to bring them to the realities of 21st century. They will also learn, on their own, the significance of festivals celebrated across the country


Unit-1

Teaching Hours:15

Modern Poetry

Poems of Bharathiyar, Bharathidasan and women poets


Unit-2

Teaching Hours:5

Practical Grammar

2 Grammar as reflected in the poems


Unit-3

Teaching Hours:15

Contemporary Cultural Issues

Prose including reference to contemporary literary issues


Unit-4

Teaching Hours:10

Language Skills

Language Skills: Piramozhichorkal


Text Books And Reference Books:

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

Chandra. Alagamma, published by Uyireluthu Pathippagam, Trichy, 2011

Essential Reading / Recommended Reading


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

Evaluation Pattern

With a total of 50 marks, 25 marks will come from Continuous Internal Assessment (CIA) and the remaining 25 marks will come from end semester exanination. While the end semester examination will be fully theory based the CIA will consist of Wikipedia entries, assignments, theatre production, book review and other activities
AEN221 - ADDITIONAL ENGLISH (2017 Batch)

Total Teaching Hours for Semester:45

No of Lecture Hours/Week:3

Max Marks:50

Credits:2

Course Objectives/Course Description


Course Objectives

The objectives of this course are

 to introduce the students to look at India and the Indian subcontinent through Literature

 to inculcate literary sensibility/taste among students across curriculum

 to improve language skills – reading, writing and listening

 to enable students to grasp and appreciate the variety and abundance of Indian writing,

of which this compilation is just a passing glance.

 to actively engage with the Indian sub-continent as a cultural and social space (to be

facilitated through proactive CIAs which help students to interact and engage with the

realities they face every day and have come across in these text

 to learn and appreciate India through association of ideas in the texts and the external

contexts (Bhasha Utsav will be an intrinsic help in this endeavour)
Learning Outcome

Students would become

 more aware culturally, ethically, socially and politically

 sensitive towards cultural, social, religious and ethnic diversities

 critical participants in their everyday culture
Unit-1

Teaching Hours:12

Poetry

Poetry (Any 4 of these)



1. Kutti Revathi: “Stone Goddesses”

2. Sukirtharani: “Infant Language” or “I Speak up Bluntly”

3. Taslima Nasrin: “India” or “Border”

4. Lalrinmawii Khiangte: “For a Better Tomorrow”

5. Desomond Kharmawphlang: “Poems during November”

6. Keki Daruwalla: “Boat-Ride Along the Ganga”

7. Anand Mahanand: “The Day Mother Sold Her Ornaments”

8. Habib Jalib: “Dastoor” (Pakistan)


Unit-2

Teaching Hours:11

Essays

Essays (Any 4 of these)



1. Amartya Sen: “Democracy as Public Reasoning”

2. Sitakant Mahapatra: “Beyond the Ego: New Values for a Global Neighbourhood”

3. Amitav Ghosh: The Ghosts of Mrs Gandhi” or “The Diaspora in Indian Culture”

4. Rahul Dravid: Speech at Sir Donald Bradman Oration

5. Ramachandra Guha: Excerpts from “How Much Should a Person Consume?”

6. A K Ramanujan: “Telling Tales”

7. Manjushree Thapa: “Women Have No Rights”

Unit-3


Teaching Hours:12

Short Stories

Short Stories (Any 4 of these) 12 Hours

1. U R Ananthamurthy: “A Horse for the Sun”

2. Shama Futehally: “Photographs”

3. Dilip Purushottam Chitre: “Scorpio”

4. Sushmita Rath: “Touch”

5. Bimal Choudhury: “Riot”

6. Liaozhai: “Ruiyun, a Famous Courtesan”

7. Arun Joshi: “The Homecoming”

8. Mohsin Hamid: “Air Conditioning” (Pakistan)

9. Ashfaq Ahmed: “Mohsin Mohalla” (Pakistan)


Unit-4

Teaching Hours:10

Graphic Narratives

Graphic Narrative (Any one of these)

1. Art -Durgabai Vyamand Subhash Vyam; Story- Srividya Natarajan and S Anand:

Bhimayana: Incidents in the Life of Bhimrao Ambedkar

2. Sita Sings the Blues

3. Luv and Kush (Pen Movies animated movie)


Text Books And Reference Books:

Blends (textbook)


Essential Reading / Recommended Reading

Bhimayana



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