B.Sc., MATHS (CA) Syllabus

B.Sc., MATHS (CA)

Syllabus

Program Code: UMC

2021-2022 onwards

___________________________

MANNAR THIRUMALAI NAICKER COLLEGE (AUTONOMOUS)

Re-accredited with “A” Grade by NAAC

PASUMALAI, MADURAI – 625 004

Volume II – Science Syllabus / 2020 - 2021

Academic Council Meeting Held on 29.04.2021 Page 455

Qualification for AdmissionCandidate should have passed the Higher Secondary Examination conducted by the

Board of Higher Secondary Education, Government of Tamil Nadu with Mathematics asone of the subjects in Higher Secondary Education.

Duration of the CourseThe students shall undergo the prescribed course of study for a period of three

academic years (six semesters).

Subject of Study

Part I : TamilPart II : English

Part III :

1. Core Subjects

2. Allied Subjects

3. Electives

Part IV :1. Non Major Electives (II Year)

2. Skill Based Subjects

3. Environmental Studies - Mandatory Subject

4. Value Education - Mandatory Subject

Part V :Extension Activities

Pattern of the question paper for the Continuous Internal Assessment

Note: Duration – 1 hour 30 minutes

(For Part I, Part II & Part III)

The components for continuous internal assessment are:Part –A

Four multiple choice questions (answer all) 4 x01= 04 MarksPart –B

Three short answers questions (answer all) 3 x02= 06 Marks

Part –CTwo questions (‘either …. or ‘type) 2 x 05=10 MarksPart –D

Two questions out of three 2 x 10 =20 Marks

--------------

Total 40 Marks---------------

Volume II – Science Syllabus / 2021 -2022


The scheme of Examination for Part-I, II & III

The components for continuous internal assessment are:

(40 Marks of two continuous internal assessments will be converted to 15 marks)

Two tests and their average --15 marks

Seminar /Group discussion --5 marks

Assignment --5 marks

--------------

Total 25 Marks

---------------

Pattern of the question paper for the Summative Examinations:

Note: Duration- 3 hours

Part –A

Ten multiple choice questions 10 x01 = 10 Marks

No Unit shall be omitted: not more than two questions from each unit.)

Part –B

Short answer questions (one question from each unit) 5 x02 = 10 Marks

Part –C

Five Paragraph questions (‘either …. or ‘type) 5 x 05 = 25 Marks

(One question from each Unit)

Part –D

Three Essay questions out of five 3 x 10 =30 Marks

(One question from each Unit)

--------------

Total 75 Marks

---------------

Part-IV- Skill Based Papers:

The Scheme of Examination for Skill Based Papers: (Except Practical Lab Subjects)

Pattern of the questions paper for the continuous Internal Assessment

45 MCQs will be asked for two internal assessment tests (45 x 1=45 Marks) and converted for

15 marks

The components for continuous internal assessment are:


Seminar /Group discussion --5 marks

Assignment --5 marks

--------------

Total 25 Marks

---------------


Academic Council Meeting Held on 29.04.2021 57

Summative Examination Pattern

Pattern of the Question Paper for Skill Based Papers (External)

75 Multiple choice questions will be asked from five units (75 x 1=75 Marks)

(15MCQ’s from each unit)

Part-IV- Environmental Studies and Value Education

The Scheme of Examination (Environmental Studies and Value Education)


Project Report --10 marks*

Total --25 marks

* The students as Individual or Group must visit a local area to document environmental assets –river / forest / grassland / hill / mountain – visit a local polluted site – urban / rural / industrial /agricultural – study of common plants, insects, birds – study of simple ecosystem – pond, river, hillslopes, etc.

Question Paper Pattern

(Internal Assessment)

Pattern of the Question Paper for Environmental Studies & Value Education only) (Internal)

45 MCQs will be asked for two internal assessment tests (45 x 1=45 Marks) and converted for15 marks

Two tests and their average -- 15 marksProject -- 10 marks

--------------Total 25 Marks

---------------Summative Examination Pattern

Pattern of the Question Paper for Environmental Studies & Value Education only)(External)

75 Multiple choice questions will be asked from five units (75 x 1=75 Marks)

(15MCQ’s from each unit)

Minimum Marks for a Pass

40% of the aggregate (Internal +Summative Examinations).No separate pass minimum for the Internal Examinations.27 marks out of 75 is the pass minimum for the Summative Examinations.



VISION

The Department of Mathematics with CA aspires to the highest standard of Excellence in teaching

and service. We will be the source for the Promotion of problem solving, analytical

thinking and utilizing latest technology in day to day life.

MISSION

The Mission of the Mathematics Department is to provide an environment where students can learn

and become competent users of mathematics and Mathematical applications with computer

knowledge

The 12 Graduate Attributes*:

1. (KB) A knowledge base for engineering: Demonstrated competence in university level

mathematics, natural sciences, engineering fundamentals, and specialized knowledge in science

and engineering to the program.

2. (PA) Problem analysis: An ability to use appropriate knowledge and skills to identify,

formulate, analyze, and solve complex science and engineering problems in order to reach

substantiated conclusions

3. (Inv.) Investigation: An ability to conduct investigations of complex problems by methods that

include appropriate experiments, analysis and interpretation of data and synthesis of

information in order to reach valid conclusions.

4. (Des.) Design: An ability to design solutions for complex, open-ended science and engineering

problems and to design systems, components or processes that meet specified needs with

appropriate attention to health and safety risks, applicable standards, and economic,

environmental, cultural and societal considerations.

5. (Tools) Use of mathematical tools: An ability to create, select, apply, adapt, and extend

appropriate techniques, resources, and modern mathematical tools to a range of science and

engineering activities, from simple to complex, with an understanding of the associated

limitations.

6. (Team) Individual and teamwork: An ability to work effectively as a member and leader in

teams, preferably in a multi-disciplinary setting.

7. (Comm.) Communication skills: An ability to communicate complex concepts within the

profession and with society at large. Such ability includes reading, writing, speaking and

listening, and the ability to comprehend and write effective reports and design documentation,

and to give and effectively respond to clear instructions.

8. (Prof.) Professionalism: An understanding of the roles and responsibilities of the

mathematicians in society, especially the primary role of protection of the public and the public

interest.



9. (Impacts) Impact of Mathematics on society and the environment: An ability to model and

analyze social and environmental aspects through Mathematics. Such ability includes an

understanding of the interactions that deals with the economic, social, health, safety, legal, and

cultural aspects of society, the uncertainties in the prediction of such interactions; and the

concepts of sustainable design and development and environmental stewardship.

10. (Ethics) Ethics and equity: An ability to apply professional ethics, accountability, and equity.

11. (Econ.) Economics and project management: An ability to appropriately incorporate economics

and business practices including project, risk, and change management into the practice of

mathematical applications and to understand their limitations.

12. (LL) Life-long learning: An ability to identify and to address their own educational needs in a

changing world in ways sufficient to maintain their competence and to allow them to contribute

to the advancement of knowledge

WA Graduate Attributes Caption as1 A Knowledge Base for Science & Engineering KB2 Problem Analysis PA3 Investigation Inv.6 Individual and Teamwork Team

7 Communication skills Comm.9 Impact of Mathematics on society and the environment Impacts10 Ethics and equity Ethics12 Life-long Learning LL



PROGRAM EDUCATIONAL OBJECTIVES (PEOs)

PEO1: To provide students with a thorough knowledge of fundamental mathematical facts, and solve

problems analytically and implement using Computer Applications.

PEO2: To engage in self – directed continuous learning aimed at global competency which will

promote professional and personal growth.

PEO3: To provide grounding in a coherent body of knowledge, a board coverage of related academic

skills, personal development and social skills.

PEO4: To develop confidence to appear for Competitive and Civil services examinations and will

occupy higher posts in administrative level.

PEO5: To expose them to various contemporary issues which will enable them become ethical and

responsible towards themselves, co-workers, the Society and the Nation.

PEO6: To develop teaching skills, subject knowledge in the course of their study which will help them

to shine in various field including Education, IT etc.



PROGRAMME OUTCOMES (POs)

PO1: Apply the knowledge of Mathematics and Computer Applications for the attainment of

solutions to the problems that come across in our day-to-day life/activities

PO2: Identify and analyze the problem and formulate novel ideas to yield solutions using the

principles of Mathematics and Computer Applications with appropriate consideration for

the public health, safety and environmental considerations

PO3: Communicate the fundamental and advanced concepts of their discipline in written and

oral form. Able to make appropriate and effective use of information technology

relevant to their discipline.

PO4: Function as an individual, and as a member or leader in diverse teams and in

multidisciplinary settings. Become an entrepreneur by acquiring technical,

communicative, problem solving and intellectual skills.

PO5: Recognize the need for and have the preparation and ability to engage in independent and

lifelong learning in the broadest context of technological change

PO6: Presentation and Interpretation of Data: Demonstrate the ability to manipulate and

visualize data and to compute standard statistical summaries.

PROGRAM SPECIFIC OUTCOME (PSOs)

PSO1: Communicate the concepts of mathematics effectively using various instructional strategies

PSO2: Demonstrate a computational ability in solving a wide array of mathematical problems.

PSO3: Develop mathematical models from basic axioms and analyze valid mathematical reasoning.

PSO4: Understand, analyse and develop computer programs in the areas related to Mathematics,

Algorithm, System software, Web design and Networking.

PSO5: Explore technical knowledge in diverse areas of Mathematics and Computer Applications and

experience the same.

PSO6: Provide a systematic understanding of the concepts and theories of mathematics and analyze the

situations.



MANNAR THIRUMALAI NAICKER COLLEGE (Autonomous), Pasumalai

MATHS (CA)., Curriculum

(For the students admitted during the academic year 2021-2022 onwards)

CourseCode

Title of the Course Hours Credits

Maximum MarksInt Ext Total

FIRST SEMESTERPart – I Tamil / Alternative Course21UTAG11 இக்காலக் ୷௳ ஂ ஜ ஏ୷ ஂ ஜ 6 3 25 75 100

Part – II English21UENG11 Communicative English - I 6 3 25 75 100Part - III Core Courses21UMTC11/21UMCC11

Differential Calculus 4 425 75 100

21UMTC12/21UMCC12

Theory of Equations and itsapplication

4 425 75 100

Part III Allied Course21UCSA11 Introduction to MS-Office 6 4 25 75 100

Part IV Skill Based Course21UMCS11 Numerical Aptitude 2 2 25 75 100

Part IV Mandatory Course

21UEVG11 Environmental Studies 2 2 25 75 100

Total 30 22 175 525 700SECOND SEMESTER

Part – I Tamil / Alternative Course21UTAG21 இைடக்கால ୭ ஆ୷ஜழஃ ஂ ஜ

୷ ஂ ஜ6 3 25 75 100

Part – II English21UENG21 Communicative English - II 6 3 25 75 100Part - III Core Courses21UMTC21/21UMCC21

Integral Calculus4 4 25 75 100

21UMTC22/21UMCC22

Analytical Geometry -3D 4 425 75 100

Part III Allied Course21UCSA21 Programming in C 4 3 25 75 10021UCSAP1 Programming in C - Lab 2 1 40 60 100

Part IV Skill Based Course

21UMCSP1 Web Design Lab 2 2 40 60 100

Part IV Value Education Course21UVLG21 Value Education 2 2 25 75 100

Total 30 22 230 570 800



THIRD SEMESTERPart – I Tamil / Alternative Course21UTAG31 ୷ஏஜ ஃ ୭ ஆ୷ஜழஃ ஂ ஜ

୯ ஂ ஜ6 3 25 75 100

Part – II English21UENG31 Communicative English - III 6 3 25 75 100Part - III Core Courses21UMTC31/21UMCC31

Mechanics 5 5 25 75 100

21UMTC32/21UMCC32

Trigonometry and Vector Calculus 4 4 25 75 100

Part III Allied Course21UCSA31 Python programming 3 2 25 75 10021UCSAP2 Python programming- Lab 2 2 40 60 100


21UMCS31 Techniques in Reasoning 2 2 25 75 100

Part IV Non-Major Elective Course

21UMCN31

21UMCN32

21UMCN33

Arithmetic and Mental Ability – I

Basic Mathematics

Basic Statistics

2 2 25 75 100

Total 30 23 215 585 800FOURTH SEMESTER

Part – I Tamil / Alternative Course21UTAG41 பண்ைடய ୭ ஆ୷ஜழஃ ஂ ஜ

ொ ஂ ஜ6 3 25 75 100

Part – II English21UENG41 Communicative English - I 6 3 25 75 100Part - III Core Courses21UMTC4121UMCC41

Modern Algebra 5 5 25 75 100

21UMTC42/21UMCC42

Sequences and Series 4 4 25 75 100

Part III Allied Course21UCSA41 Java Programming 5 4 25 75 100

Part IV Skill Based Course21UMCSP2 LaTeX - Lab 2 2 40 60 100Part IV Non-Major Elective Course

21UMCN41

21UMCN4221UMCN43

Arithmetic and Mental Ability - II

Resource Management Techniques

Mathematical Logic

2 2 25 75 100

Part V Extension - 1 100 - 100Total 30 23 290 510 800



FIFTH SEMESTERPart - III Core Courses21UMTC51/21UMCC51

Discrete Mathematics 6 4 25 75 100

21UMTC52/21UMCC52

Real Analysis 6 4 25 75 100

21UMTC53/21UMCC53

Differential Equations 6 4 25 75 100

Part III Core Elective21UMCE51 Number Theory 5 5 25 75 10021UMCE52 Graph Theory 5 5 25 75 100


21UMCS51 Theory of Lattices 2 2 25 75 100

Total 30 24 150 450 600SIXTH SEMESTER

Part - III Core Courses21UMTC61/21UMCC61

Linear Algebra 6 4 25 75 100

21UMTC62/21UMCC62

Complex Analysis 6 4 25 75 100

21UMCPR1 Project 6 4 40 60 100

Part III Core Elective21UMCE61 Operations Research 5 5 25 75 10021UMCE56 Numerical Methods 5 5 25 75 100


21UMCSP3 Numerical Methods – Practical 2 2 25 75 100

Total 30 24 150 450 600Grand Total 180 140 1210 3090 4300

List of Elective Courses1 Core Elective I Number Theory

2 Core Elective I Probability and Statistics

3 Core Elective II Graph Theory

4 Core Elective II Astronomy - I

5 Core Elective III Operations Research

6 Core Elective III Fuzzy Sets

7 Core Elective IV Numerical Methods

8 Core Elective IV Astronomy - II




DEPARTMENT OF MATHEMATICS WITH CA

(For those who joined in 2021-2022 and after)

Course Name DIFFERENTIAL CALCULUS

Course Code 21UMTC11/21UMCC11 L P C

Category Core 04 - 04

Nature of Course: EMPLOYBILITY SKILL ORIENTED ENTREPRENURSHIP

Course Objectives:

To develop problem solving skills To familiarize the applications of differential calculus. To explain about the nature and its types. To provide the capability of finding the circle, radius and centre of curvatures. To identify and solve the higher derivativesUnit: I 12 hrsSuccessive differentiation - nth derivative – Standard results – Trigonometrical transformation –

Formation of equations involving derivatives – Leibnitz formula.Unit: II 12 hrsMaxima and Minima of two variables – Lagrange’s method of undetermined multipliers -

Equations of tangent and normal at any point of the curve.Unit: III 12 hrsAngle of intersection of curves – Sub tangent and Sub Normal - Curvature – Circle, radius and

centre of curvatures - Cartesian formula for radius of curvature – The coordinates of the centre ofcurvature.Unit: IV 12 hrsEnvelopes - Evolute and Involute – Radius of curvature in Polar co-ordinates- p-r equation – Pedal

equation of curves.Unit: V 12 hrsMeaning of the derivative – Geometrical interpretation – Meaning of the sign of the differential

coefficient – rate of change of variable.Total Lecture Hours 60 hrs

Book for Study

T.K.Manickavashagam Pillai and S.Narayanan, Calculus, Volume I, S.ViswanathanPublishers, Chennai, 1996.Unit-I – Chapter 3, Sections: 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 2.1Unit-II – Chapter 8, Sections: 4, 5 & Chapter 9, Sections: 1.2, 1.3,Unit–III – Chapter 9, Section: 1.4, Section 2, & Chapter 10, Sections: 2.1, 2.2, 2.3, 2.4.Unit-IV – Chapter 10, Sections: 1.1, 1.2, 1.3, 1.4, 2.5, 2.6, 2.7.Unit- V – Chapter 4, Sections: 1, 2, 3.Books for References:1. S.Arumugam and Isaac, Calculus, New Gamma Publishing House, Palayamkottai, 2008.2. Shanthi Narayan, Differential Calculus, S.Chand & Company Ltd , New Delhi,1979.3. George B.Thomas, Thomas’ Calculus, Maurice D.Weir and Joel Hass, Pearson Education



Company, 12thEdition, 2015.Web Resources:

COURSE OUTCOME K LevelAfter the completion of the course, Students will be able to

CO1: Make use of Leibnitz formula to find the nth derivative of algebraic andtrigonometric functions and formation of equations involving derivatives

K3

CO2: Apply partial differentiation to determine the maxima and minima of functionsof two variables and Lagrange’s method of undetermined multipliers.

K3

CO3: Determine envelope, curvatures, involute and evolute of the curve. K3CO4: Analyze the applications of differentiation K4CO5: Understand the equations of the tangent, normal, Sub tangent and Sub Normal. K2

CO & PO Mappings:

COS PO 1 PO 2 PO 3 PO 4 PO 5 PO 6CO 1 3 3 2 3 2 3CO 2 3 3 2 2 3 2CO 3 3 3 2 2 2 3CO 4 3 3 3 3 2 2CO 5 3 3 2 3 3 2*3 – Advanced Application; 2 – Intermediate Development; 1 - Introductory Level

LESSON PLAN

UNIT COURSE NAME Hrs Mode

I Successive differentiation - nth derivative – Standard results –Trigonometrical transformation – Formation of equations involvingderivatives – Leibnitz formula.

12 Chalk &Talk,LCD

II Maxima and Minima of two variables – Lagrange’s method ofundetermined multipliers - Equations of tangent and normal at any pointof the curve.

12 Chalk &Talk,PPT

III Angle of intersection of curves – Sub tangent and Sub Normal -Curvature – Circle, radius and centre of curvatures - Cartesian formulafor radius of curvature – The coordinates of the centre of curvature.

12 Chalk &Talk,Groupdiscussion

IV Envelopes - Evolute and Involute – Radius of curvature in Polarco-ordinates- p-r equation – Pedal equation of curves.

12 Chalk &Talk

V Meaning of the derivative – Geometrical interpretation – Meaningof the sign of the differential coefficient – rate of change ofvariable.

12 Chalk &Talk,Seminar

Course Designed by: Dr.V.Ramachandran and Mrs.R.Sumathi



Learning Outcome Based Education & Assessment (LOBE)Formative Examination - Blue Print

Articulation Mapping – K Levels with Course Outcomes (COs)Internal

Cos K Level Section A Section B Section CEither orChoice

Section DOpen

ChoiceMCQs Short Answers

No. of.Questions

K -Level

No. of.Questions

K -Level

CIAI

CO1 K3 2 K1&K2

1 K2 2 (K2&K2)

1 (K3)

CO2 K3 2 K2&K3

2 K2 &K3

2 ( K3 &K3)

2(K3)

CIAII

CO3 K3 2 K1&K2

1 K2 2(K3 &K3)

2(K3)

CO4 K4 2 K2&K3

2 K2 &K3

2 ( K3 &K3)

1(K4)

QuestionPatternCIA I &

II

No. of Questionsto be asked

4 3 4 3

No. of Questionsto be answered

4 3 2 2

Marks for eachquestion

1 2 5 10

Total Marks foreach section

4 6 10 20

Distribution of Marks with K Level CIA I & CIA II

KLevel

Section A(Multiple

ChoiceQuestions)

Section B(Short

AnswerQuestions)

Section C(Either /

OrChoice)

Section D(Open

Choice)

TotalMarks

% of(Markswithoutchoice)

Consolidateof %

CIAI

K1 2 2 - - 4 6.67 50

K2 2 4 10 10 26 43.33K3 - - 10 10 20 33.33 33.33K4 - - - 10 10 16.67 16.67

Marks 4 6 20 30 60 100 100

CIAII

K1 2 2 - - 4 6.67 50K2 2 4 10 10 26 43.33K3 - - 10 10 20 33.33 33.33K4 - - - 10 10 16.67 16.67

Marks 4 6 20 30 60 100 100K1- Remembering and recalling facts with specific answers

K2- Basic understanding of facts and stating main ideas with general answers

K3- Application oriented- Solving Problems

K4- Examining, analyzing, presentation and make inferences with evidences

CO5 will be allotted for individual Assignment which carries five marks as part of CIA

component.



Summative Examination – Blue Print Articulation Mapping – K Level with CourseOutcomes (COs)

S.No COs K - Level MOQs Short Answers Section C(Either /

orChoice)

Section D(Open

Choice)No. of

QuestionsK –

LevelNo. of

QuestionK –

Level

1 CO1 K3 2 K1&K2 1 K1 2 (K3& K3) 1 (K3)

2 CO2 K3 2 K1&K2 1 K1 2 (K3 &K3) 1 (K3)

3 CO3 K3 2 K1&K2 1 K2 2 (K3 &K3) 1 (K3)

4 CO4 K3 2 K1&K2 1 K2 2 (K3 &K3) 1 (K3)

5 CO5 K4 2 K1&K2 1 K2 2 (K3 &K3) 1 (K4)

No. of Questions to beAsked

10 5 10 5

No.of Questions to beanswered

10 5 5 3

Marks for each question 1 2 5 10Total Marks for each section 10 10 25 30(Figures in parenthesis denotes, questions should be asked with the given K level)

Distribution of Marks with K LevelK

LevelSection A(Multiple

ChoiceQuestions)

Section B(Short

AnswerQuestions)

Section C(Either/ or

Choice)

Section D( OpenChoice)

TotalMarks


Consolidated%

K1 5 6 10 - 19 15.8342

K2 5 4 10 10 31 25.83K3 - - 20 30 50 41.67 42K4 - - 10 10 20 16.67 16

Marks 10 10 50 50 120 100 100NB: Higher level of performance of the students is to be assessed by attempting higher level

of K levels.



Summative Examinations - Question Paper – Format

Section A (Multiple Choice Questions)Answer All Questions (10x1=10 marks)

Q.No CO K Level Questions1 CO1 K12 CO1 K23 CO2 K14 CO2 K25 CO3 K16 CO3 K27 CO4 K18 CO4 K29 CO5 K110 CO5 K2

Section B (Short Answers)Answer All Questions (5x2=10 marks)

Q.No CO K Level Questions11 CO1 K112 CO2 K113 CO3 K214 CO4 K215 CO5 K2

Section C (Either/Or Type)Answer All Questions (5 x 5 = 25 marks)

Q.No CO K Level Questions16) a CO1 K216) b CO1 K317) a CO2 K217) b CO2 K318) a CO3 K218) b CO3 K319) a CO4 K219) b CO4 K320) a CO5 K220) b CO5 K3NB: Higher level of performance of the students is to be assessed by attempting higher level

of K levelsSection D (Open Choice)

Answer Any Three questions (3x10=30 marks)Q.No CO K Level Questions

21 CO1 K322 CO2 K323 CO3 K324 CO4 K325 CO5 K3






Course Name Theory of Equations and its Applications

Course Code 21UMTC12 /21UMCC12 L P C

Category Core 4 - 4

Nature of course: EMPLOYABILITY SKILL ORIENTED ENTREPRENURSHIP

Course Objectives:

To familiarize with the theory of equations. To introduce the transformation of equations. To write the standard form of reciprocal equation.

To develop the knowledge of algebraic concepts on mathematics.

To find the approximate solution using Newton’s and Horner’s method.Unit: I 12

Theory of equations – Formation of Equation – Relation between the roots and coefficients.Unit: II 12

Sum of the power of the roots of an equation – Newton’s theorem – Reciprocal equations – StandardReciprocal Equations.Unit: III 12

Transformations of equations - Removal of terms – Multiple roots –Nature & Position ofroots - Descarte’s rule of sign.Unit: IV 12

Roll’s theorem (only statement) – Strum’s theorem (only problems) –Cubic equations – Cardon’smethod for solving a cubic equation.Unit: V 12

Approximate solutions of Numerical equations- Newton’s method – Horner’s method.Total Lecture Hours 60

Book for Study

S. Arumugam and Isaac, Classical Algebra, New Gamma Publishing House, Palayamkottai,2016.

Unit I : Page 08 – 31Unit II : Page 32 – 56Unit III : Page 56 – 77Unit IV : Page 78 – 100Unit V : Page 103 – 112



Books for References:1. T.K .Manicavasagam Pillai and S. Narayanan, Algebra – Volume I, S.Viswanathan

Printers Publishers Pvt. Ltd, Chennai, 2007.2. Hari kishan, Theory of equations, Atlantic publishers and Distributers Pvt Ltd,

December 2013.3. MacDuffee, C.C. - Theory of Equations, John Wiley & Sons Inc., 1954.Web Resources:

Course Outcomes K LevelAfter the completion of the course, Students will be able toCO1: Find the number of positive and negative roots of polynomial equation K2

CO2: Solve the transformation of equations K3

CO3: Determine the sum of the powers of the roots of equations K3

CO4: Predict approximate solutions to equations. K2

CO5: Analyze the relation between roots and coefficients of the polynomial equations. K4

CO & PO Mappings:

COS PO 1 PO 2 PO 3 PO 4 PO 5 PO 6CO 1 3 3 2 3 2 3CO 2 2 3 2 3 3 3CO 3 3 3 3 2 2 2CO 4 3 3 2 3 2 3CO 5 3 3 2 3 3 3*3 – Advanced Application; 2 – Intermediate Development; 1 - Introductory Level

LESSON PLAN

UNIT Course Name Hrs Mode

I Theory of equations – Formation of Equation – Relation between theroots and coefficients.

12 Chalk &Talk, LCD

II Sum of the power of the roots of an equation – Newton’s theorem –Reciprocal equations – Standard Reciprocal Equations.

12 Chalk &Talk,PPT

III Transformations of equations - Removal of terms – Multipleroots –Nature & Position of roots - Descarte’s rule of sign.

12 Chalk &Talk, Groupdiscussion

IV Roll’s theorem (only statement) – Strum’s theorem (only problems)–Cubic equations – Cardon’s method for solving a cubic equation.

12 Chalk & Talk

V Approximate solutions of Numerical equations- Newton’s method –Horner’s method.

12 Chalk &Talk,

Seminar

Course Designed by: Mrs.S.Ragavi and Dr.A.Hamari Choudhi






Section DOpen


No. of.Questions

K - Level No. of.Questions

K - Level

CIAI

CO1 K3 2 K1&K2 1 K2 2 (K2&K2)

1 (K3)

CO2 K3 2 K2&K3 2 K2 & K3 2 ( K3 &K3)

2(K3)

CIAII

CO3 K3 2 K1& K2 1 K2 2(K3 &K3)

2(K3)

CO4 K4 2 K2 &K3 2 K2 & K3 2 ( K3 &K3)

1(K4)


II


4 K3 3 K3 4 3


4 3 2 2


1 2 5 10


4 6 10 20


KLevel

Section A(Multiple

ChoiceQuestions)

Section B(Short

AnswerQuestions)

Section C(Either /

OrChoice)

Section D(Open

Choice)

TotalMarks


Consolidateof %

CIAI

K1 2 2 - - 4 6.67 50

K2 2 4 10 10 26 43.33K3 - - 10 10 20 33.33 33.33K4 - - - 10 10 16.67 16.67

Marks 4 6 20 30 60 100 100

CIAII

K1 2 2 - - 4 6.67 50K2 2 4 10 10 26 43.33K3 - - 10 10 20 33.33 33.33K4 - - - 10 10 16.67 16.67

Marks 4 6 20 30 60 100 100K1- Remembering and recalling facts with specific answersK2- Basic understanding of facts and stating main ideas with general answersK3- Application oriented- Solving ProblemsK4- Examining, analyzing, presentation and make inferences with evidencesCO5 will be allotted for individual Assignment which carries five marks as part of CIAcomponent.





orChoice)

Section D(Open

Choice)No. of

QuestionsK –

LevelNo. of

QuestionK –

Level

1 CO1 K3 2 K1&K2 1 K1 2 (K3& K3) 1 (K3)

2 CO2 K3 2 K1&K2 1 K1 2 (K3 &K3) 1 (K3)

3 CO3 K3 2 K1&K2 1 K2 2 (K3 &K3) 1 (K3)

4 CO4 K3 2 K1&K2 1 K2 2 (K3 &K3) 1 (K3)

5 CO5 K4 2 K1&K2 1 K2 2 (K3 &K3) 1 (K4)


10 5 10 5


10 5 5 3

Marks for each question 1 2 5 10Total Marks for each section 10 10 25 30

(Figures in parenthesis denotes, questions should be asked with the given K level)



ChoiceQuestions)

Section B(Short

AnswerQuestions)


Choice)


TotalMarks


Consolidated%

K1 5 6 10 - 19 15.8342

K2 5 4 10 10 31 25.83K3 - - 20 30 50 41.67 42K4 - - 10 10 20 16.67 16


of K levels.




DEPARTMENT OF MATHEMATICS (CA)


Course Name INTRODUCTION TO MS-OFFICE

Course Code 21UCSA11 L P C

Category Allied 6 4


Course Objectives:

To Provide hands-on use of Microsoft office 2013 applications Word, Excel, Access and Powerpoint.

To provide ‘foundational’ or ‘Computer Literacy’ curriculum that prepares students for life-long learning of computer concepts and skills.

To train and educate the mechanical part of computers ( electrical & electronic operations) To educate MS-office system, internet operations, online, offline working areas. To complete the assignments will result in MS-Office applications knowledge and skills.Unit: I Characteristics of a computer 12Introduction to Computers – Characteristics of a computer-History of computer-Generation of

computer-Classification of Computers- Applications of Computers – Computer Architecture andOrganisation –Personal computer – Other Devices – Hardware and Software.Unit: II Ms -Word Processing 12

Introduction to Word-Word Processing-Starting A Word-Editing A Document – Move and CopyText-Formatting Text and Paragraph-Finding and Replacing spelling, Grammar and Auto Correct-Using Tabs & Insert setting.Unit: III Features of Ms –Word 12

Enhancing a Document-Toolbars-Columns, Tables and Other Formatting Features using Graphics,Templates and Wizards-Using Mail merge-Miscellaneous Features of Word.Unit: IV Worksheet and Excel Processing 12

Introduction to Worksheet and Excel-Getting Started With Excel-Editing Cells, Using Commandsand Functions: Moving, Copying, Inserting and Deleting Rows and Columns-Printing theWorkbook-Creating Charts-Using Date, Time and Addressing Modes-Naming Ranges and Built InFunctions.Unit: V Overview of PowerPoint 12

Database in a worksheet –Formatting Commands and drawing toolbar-Miscellaneous Commandsand Functions-Multiple Workbooks, Pivot Table, Macros and Hyperlinks –Overview of PowerPoint– Creating A Presentation – PowerPoint Views – Running A Slideshow.

List of Practicals ( Internal Only)



1 MS-WORD

1.Create a New Document using MS word2. Prepare a resume to apply for a job in MS. Word.

3. Create an invitation to invite reporters of local Newspapers to cover

functions of Annual Day Celebrations of your College using Mail

Merge in MS.Word (4 Addresses).

4. Creating And Editing The Table :5. Create a Mark statement6. Create an Advertisement in MS. Word(College Brochure)7. Prepare a table of contents for a document.

10

2 MS-EXCEL

1. Create a statement in MS Excel2. From the following given particulars prepare a Salary Statement in MS

Excel Worksheet.DEVI ENTERPRISES MADURAI 625001 S. No., Emp-No., Name,Basic Pay, DA, HRA, Gross Pay, PF, IT, Deductions and Net Pay.Enter data for EMP-No ., NAME, and BASICPAY .Fill the S.No. column with Autoseries.

Calculate DA = 90% of Basic Pay, HRA = 5% of Basic Pay Calculate Gross Pay = Basic Pay + DA + HRA Calculate PF = 6% of Basic Pay, IT = 10% of Gross Pay Calculate deductions = PF + IT. Calculate Net Pay = Gross Pay – Deductions.

3. Create a result sheet containing Candidate’s Register No., Name,Marks for five subjects

4. Prepare consolidation of work sheets in MS Excel.5. Create Pivot Table report in MS Excel.

10

3 MS-POWERPOINT

1. Create a power-point presentation for paper presentation2. Create a power-point presentation with minimum 10 slides

a. Use word art to write the heading for each slides.b. Insert at least one clip-art, one picturec. Insert at least one audio and one video

3. Create a power-point presentation with minimum 5 slidesa. Use custom animation option to animate the text; the text must

move left to right one line at a time.b. Use proper transition for the slides

4. Create a power-point presentation to display your college details usinghyperlinks.

10

Total Lecture Hours 90hrs

Books for Study:



R.K.Taxali, PC Software for windows 98 Made Simple, Tata McGraw Hill Education (India)Private Limited. 34th reprint 2015.Books for References:

Sanjay Saxena, A First Course in Computers, Vikas Publishing House Pvt. Ltd, New Delhi2003.

Ron Mansfield, Working In Microsoft Office, Tata Mcgraw-HillEdition, New Delhi 2008.

Web Resources:https://www.slideshare.net/ZohaibAhmed40/microsoft-office-58554555

https://www.youtube.com/watch?v=yCVy5Kw0l8shttps://www.youtube.com/watch?v=fUkh3yWm3d4https://www.youtube.com/watch?v=ighIUg4WfTAhttps://www.youtube.com/watch?v=S-nHYzK-BVgCOURSE OUTCOMEAfter the completion of the course, Students will be able to

K Level

On the successful completion of the course, the students will be able toCO1: Demonstrate proficiency in the use of Word processing, Spreadsheet,

Database and Presentation applications.K1

CO2: use application software to solve business problems and increase efficiency inthe workplace.

K2

CO3: develop supervisory skills, expand business productivity, and enhance skills incommunication, human relations and modern office technology systems andprocedures.

K3

CO4: Use the computer, communication skills, and related information technologyto achieve business objectives.

K3

CO5: Understand Testing, errors and debugging K4

CO & PO Mapping:

COS PO 1 PO 2 PO 3 PO 4 PO 5 PO 6

CO 1 3 2 3 3 3 3

CO 2 3 3 3 3 2 2

CO 3 3 2 2 3 3 3

CO 4 3 2 3 3 3 3

CO 5 3 2 3 2 3 2

*3 – Advanced Application; 2 – Intermediate Development; 1 - Introductory Level

Course Designed by:

Dr. S. Saranya & Mr. A. Nambi Krishna



LESSON PLAN


I Introduction to Computers, Characteristics of a computer, History ofcomputer Generation of computer, Classification of Computers,Applications of Computers, Computer Architecture and Organisation,Personal computer Other Devices ,Hardware and Software.

10 Chalk &

Talk, PPT

II Introduction to Word, Word Processing, Starting A Word, Editing ADocument Move and Copy Text-Formatting Text and Paragraph,Finding and Replacing spelling, Grammar and Auto Correct, UsingTabs & Insert setting

10 Chalk &

Talk , ICT

III Enhancing a Document, Toolbars, Columns, Tables , Other FormattingFeatures, using Graphics, Templates and Wizards, Using Mail mergeMiscellaneous Features of Word.

10 Chalk &

Talk, LCD

IV Introduction to Worksheet and Excel, Getting Started With Excel-Editing Cells, Using Commands and Functions: Moving, Copying,Inserting and Deleting Rows and Columns, Printing the Workbook-Creating Charts Using Date, Time and Addressing, Modes-NamingRanges and Built In Functions.

10 Chalk &

Talk

PPT&LCD

V Database in a worksheet, Formatting Commands and drawing toolbarMiscellaneous, Commands and Functions, Multiple Workbooks, PivotTable, Macros and Hyperlinks, Overview of PowerPoint, Creating APresentation PowerPoint Views Running A Slideshow.

10 Chalk &

Talk, LCD

List of Programmes 10 Computer

Lab




Section DOpen


No. of.Questions

K -Level

No. of.Questions

K -Level

CIAI

CO1 K3 2 K1,K2 1 K2 2 (K2,K2) 1 (K3)CO2 K3 2 K2,K3 2 K2, K3 2 ( K3,K3) 2(K3)

CIAII

CO3 K3 2 K1, K2 1 K2 2(K3,K3) 2(K3)

CO4 K4 2 K2,K3 2 K2,K3 2 ( K3,K3) 1(K4)


II


4 K3 3 K3 4 3


4 3 2 2


1 2 5 10


4 6 10 20




KLevel

Section A(Multiple

ChoiceQuestions)

Section B(Short

AnswerQuestions)

Section C(Either /

OrChoice)

Section D(Open

Choice)

TotalMarks


Consolidateof %

CIAI

K1 2 2 - - 4 6.67 50

K2 2 4 10 10 26 43.33K3 - - 10 10 20 33.33 33.33K4 - - - 10 10 16.67 16.67

Marks 4 6 20 30 60 100 100

CIAII

K1 2 2 - - 4 6.67 50K2 2 4 10 10 26 43.33K3 - - 10 10 20 33.33 33.33K4 - - - 10 10 16.67 16.67






component.



or Choice)

Section D(Open

Choice)No. of

QuestionsK –

LevelNo. of

QuestionK –

Level1 CO1 K3 2 K1&K2 1 K1 2 (K3&

K3)1 (K3)

2 CO2 K3 2 K1&K2 1 K1 2 (K3&K3)

1 (K3)

3 CO3 K3 2 K1&K2 1 K2 2 (K3&K3)

1 (K3)

4 CO4 K3 2 K1&K2 1 K2 2 (K3&K3)

1 (K3)

5 CO5 K4 2 K1&K2 1 K2 2 (K3&K3)

1 (K4)


10 5 10 5


10 5 5 3

Marks for each question 1 2 5 10Total Marks for each

section10 10 25 30




Distribution of Marks with K LevelKLevel

Section A(Multiple

ChoiceQuestions)

Section B(Short

AnswerQuestions)


Choice)


TotalMarks


Consolidated%

K1 5 6 10 - 19 15.8342

K2 5 4 10 10 31 25.83K3 - - 20 30 50 41.67 42K4 - - 10 10 20 16.67 16Marks 10 10 50 50 120 100 100NB: Higher level of performance of the students is to be assessed by attempting higher level

of K levels.







Q.No CO K Level Questions16) a CO1 K216) b CO1 K317) a CO2 K217) b CO2 K318) a CO3 K218) b CO3 K319) a CO4 K219) b CO4 K3



20) a CO5 K220) b CO5 K3NB: Higher level of performance of the students is to be assessed by attempting higher level









Course Name NUMERICAL APTITUDE

Course Code 21UMCS11 L P C

Category Skill 02 - 02


Course Objectives:

To enhance the problem solving skill.To improve the basic mathematical skills.To help students who are preparing for any type of competitive examinations.To improve the skill in calendars.To improve the skill in data Interpretations.Unit: I HCF- LCM of Numbers. 6 hrs

Unit: II Average. 6 hrs

Unit: III Time and Work. 6 hrs

Unit: IV Calendar. 6 hrs

Unit: V Permutations and Combinations 6 hrs

Total Lecture Hours 30 hrsBook for Study

Dr. R.S. Aggarwal, Quantitative Aptitude for Competitive Examinations, S. Chand and CompanyPrivate Limited, New Delhi-110 055. (Revised and enlarged edition 2017).Books for References:1 P. Gupta, Quantitative Aptitude, Unique publishers.2 Topic – wise solved papers for IBPS/SBI Bank PO/ Clerk perlims and mains (Arun Sharma,

orQuantitative Aptitude – 2010-16), Disha publications.

Web Resources:1. https://www.indiabix.com/aptitude/problems-on-hcf-and-lcm/2. https://www.indiabix.com/aptitude/time-and-work/3. https://www.examsbook.com/calendar-aptitude-questions-and-problemsCourse Outcomes: K LevelAfter the completion of the course, Students will be able toCO1: Appear for competitive Examinations. K2CO2: Enhance the mental ability in numerical problems. K3CO3: Find HCF and LCM. K3CO4: Acquire the knowledge of numbers and average. K3



CO5: Acquire the knowledge of calendars and data Interpretations. K3

CO & PO Mappings:

COS PO 1 PO 2 PO 3 PO 4 PO 5 PO 5 PO 6

CO 1 3 3 3 2 3 2 2

CO 2 2 3 3 3 2 3 3

CO 3 3 2 2 2 3 2 3

CO 4 3 2 2 3 3 3 2

CO 5 3 3 2 3 3 3 2


LESSON PLANUNIT COURSE NAME Hrs Mode

I HCF- LCM of Numbers. 6 Chalk &

Talk.LCD

II Average 6 Chalk & Talk,

PPT

III Time and Work. 6 Chalk & Talk.,

Group discussion

IV Calendars. 6 Chalk &

Talk.LCD

V Tabulation. 6 Chalk & Talk ,

Seminar

Course Designed by:

Mr. P. Palanikumar & Dr. S. Suriyakala






Course Name INTEGRAL CALCULUS

Course Code 21UMTC21/ 21UMCC21 L P C

Category Core 4 - 4


Course Objectives:

To give an idea about the properties of definite integrals. To evaluate double and triple integrals. To interchange Cartesian to polar co-ordinates. To understand the relation between the derivative and definite integrals To know the properties of Beta and Gamma functions..Unit: I 15 hrs

Integration of rational algebraic functions –Special cases – Integration of irrational algebraicfunctions – Properties of definite integralsUnit: II 15 hrs

Integration by parts– Reduction formulae for sinn x, cosnx, tann x , cosecnx, sinmx cosnx-Bernoulli’s formula.Unit: III 15 hrs

Evaluation of double integral – Changing of order of integration– Double integral in Polar co–ordinates – Triple integral.Unit: IV 15 hrs

Jacobian – Change of variables in the case of two variable and three variables – Transformationfrom Cartesian to polar coordinate – Transformation from Cartesian to spherical coordinates.Unit: V 15 hrs

Properties – relation between Beta and Gamma functions – Recurrence formula.Total Lecture Hours 75 hrs

Book for Study

Narayanan. S and Manickavasagam Pillai. T.K, Calculus Volume II , (2015)Unit I : Chapter 1 : 7.3, 7.4, 7.5, 8, 11

Unit II : Chapter 1: 12,13,15.1Unit III: Chapter 5 : 2.1, 2.2, 3.1, 4Unit IV : Chapter 6: 1.1, 1.2, 2.1,2.2,2.3,2.4Unit V: Chapter 7: 2.1, 2.2, 2.3, 3, 4, 5

Books for References:



1 Bali. N. P, Integral Calculus, Laxmi Publications, (1991), Delhi.2 Arumugam. S and Isaac, Calculus, New Gamma Publishing House, 2008, Palayamkottai3 George B.Thomas, Maurice D.Weir and Joel Hass Calculus 12th Edition, Pearson

Education, 2015.Web Resources:COURSE OUTCOMES K LevelAfter the completion of the course, Students will be able to

CO1: Demonstrate the understanding of basic concepts of integration. K2

CO2: Examine various techniques of integration K4

CO3: Apply the various concepts in solving definite and improper integrals. K3

CO4: Solve problems using transformation of one coordinate system to another K4

CO5: Analyze the properties of Beta and Gamma functions. K4

CO & PO Mapping:


CO 1 3 3 3 3 2 3

CO 2 3 3 2 3 2 2

CO 3 3 3 3 2 3 3

CO 4 2 3 2 3 3 3

CO 5 3 3 2 3 3 2

*3 – Advanced Application; 2 – Intermediate Development; 1 – Introductory Level

LESSON PLAN

UNIT COURSE NAME Hrs Pedagogy

I Integration of rational algebraic functions –Special cases – Integration ofirrational algebraic functions – Properties of definite integrals.

15 Chalk &Talk

II Integration by parts– Reduction formulae for sinn x, cosnx, tann x ,cosecnx, sinmx cosnx-Bernoulli’s formula.

15 Chalk &

Talk

III Evaluation of double integral – Changing of order of integration–Double integral in Polar co– ordinates – Triple integral.

15 Chalk &

Talk

IV Jacobian – Change of variables in the case of two variable and threevariables – Transformation from Cartesian to polar coordinate –Transformation from Cartesian to spherical coordinates.

15 Chalk &

Talk

V Properties – relation between Beta and Gamma functions – Recurrenceformula.

15 Chalk &

Talk

Course Designed by: Mrs.R.Sumathi and Dr.V.Ramachandran






SectionD

OpenChoice

MCQs Short AnswersNo. of.

QuestionsK - Level No. of.

QuestionsK -

LevelCIAI

CO1 K3 2 K1&K2 1 K2 2 (K3&K3) 1 (K3)CO2 K3 2 K2&K3 2 K2&K3 2 ( K2&K2) 2(K3)

CIAII

CO3 K3 2 K1&K2 1 K2 2(K3&K3) 2(K3)

CO4 K4 2 K2 &K3 2 K2&K3 2 ( K3&K3) 1(K4)


II


4 K3 3 K3 4 3


4 3 2 2


1 2 5 10


4 6 10 20


KLevel

Section A(Multiple

ChoiceQuestions)

Section B(Short

AnswerQuestions)

Section C(Either /

OrChoice)

Section D(Open

Choice)

TotalMarks


Consolidateof %

CIAI

K1 2 2 - - 4 6.67 50

K2 2 4 10 10 26 43.33K3 - - 10 10 20 33.33 33.33K4 - - - 10 10 16.67 16.67

Marks 4 6 20 30 60 100 100

CIAII

K1 2 2 - - 4 6.67 50K2 2 4 10 10 26 43.33K3 - - 10 10 20 33.33 33.33K4 - - - 10 10 16.67 16.67






component.





orChoice)

Section D(Open

Choice)No. of

QuestionsK –

LevelNo. of

QuestionK –

Level

1 CO1 K3 2 K1&K2 1 K1 2 (K3& K3) 1 (K3)

2 CO2 K3 2 K1&K2 1 K1 2 (K3 &K3) 1 (K3)

3 CO3 K3 2 K1&K2 1 K2 2 (K3 &K3) 1 (K3)

4 CO4 K3 2 K1&K2 1 K2 2 (K3 &K3) 1 (K3)

5 CO5 K4 2 K1&K2 1 K2 2 (K3 &K3) 1 (K4)


10 5 10 5


10 5 5 3




Section A(Multiple

ChoiceQuestions)

Section B(Short

AnswerQuestions)


Choice)


TotalMarks


Consolidated%

K1 5 6 10 - 19 15.8342


of K levels.






Course Name ANALYTICAL GEOMETRY – 3D

Course Code 21UMTC22 / 21UMCC11 L P C

Category Core 4 - 4


Course Objectives:

To recall the basic concepts of two dimensions

To understand about lines, planes , spheres

To compare the two dimensions and three dimensions

To find the distance between the Lines and the Planes

To find the angle between the Lines, the Planes , the SpheresUnit: I

The plane – Equation of a Plane – Intercept form - Normal form- Transformation to the Normalform- Angle between two planes – Length of perpendicular – Angle Bisectors of Two Planes.Unit: II

The straight line – Equation of a Straight Line- Symmetric form – Two Point form – Anglebetween the Lines – Problems

Unit: III

A Plane and a Line- Coplanar Lines- Angle between the line and the plane- Distancebetween two linesUnit: IV

Shortest distance between two lines – The Sphere – Equation of the sphere- ProblemsUnit: V

General Form of a Sphere- Diameter Form- Tangent Line and Tangent Plane- Angle of Intersectionof Two Spheres- Section of a Sphere – Simple problems.

Book for Study

Text Book:

Dr. Arumugam. S and A. Thangapandi Isaac, Analytical Geometry of three Dimensions andVector Calculus , New Gamma Publications, Reprint 2017, Palayamkottai.

Unit I Chapter 2 : Full



Unit II Chapter 3 : Section 3.1Unit III Chapter 3 : Section 3.2Unit IV Chapter 3 : Section 3.2 & Chapter 4: Section 4.1Unit V Chapter 4 : Section4.2,4.3


1 Manicka Vasagam Pillai and Natarajan, Analytical Geometry of three Dimensions and

Vector Calculus, Viswanathan. S, Printers and Publishers Pvt. Ltd., Reprint 2001,

Chennai.

2 Duraipandian.P, Laxmidurai pandian and Muhilan.D, Analytical Geometry of two

Dimensions, Emerald Publishers, Reprint, 1985, Chennai.

3 Analytical Geometry: 2D and 3D, ,P.R.Vittal- Pearson Publications – January 2013

Related Online Contents (MOOC, SWAYAM, NPTEL, Websites etc.)

COURSE OUTCOME K LevelAfter the completion of the course, Students will be able to

CO1: Understand the concepts of equation of a Plane, Straight line, Sphere K2

CO2: Solve the problems in three dimensions K3

CO3: Illustrate the angle between the surfaces K4

CO4: Calculate the distance between points, lines and planes. K3

CO5: Identify the lines and the planes from the given equations K3

CO & PO Mappings:


CO 1 3 3 3 3 2 3

CO 2 3 3 2 3 2 2

CO 3 3 3 3 2 3 3

CO 4 2 3 2 3 3 3

CO 5 3 3 2 3 3 2

*3 – Advanced Application; 2 – Intermediate Development; 1 – Introductory Level



LESSON PLAN

UNIT COURSE NAME Hrs Pedagogy

I The plane – Equation of a Plane – Intercept form - Normal form-Transformation to the Normal form- Angle between two planes -Length of perpendicular – Angle Bisectors of Two Planes.

12 Chalk &Talk

II The straight line – Equation of a Straight Line- Symmetric form – TwoPoint form – Angle between the Lines – Problems

12 Chalk &Talk

III A Plane and a Line- Coplanar Lines- Angle between the line and theplane- Distance between two lines

12 Chalk &Talk

IV Shortest distance between two lines - The Sphere – Equation of thesphere- Problems

12 Chalk &Talk

V General Form of a Sphere- Diameter Form- Tangent Line and TangentPlane- Angle of Intersection of Two Spheres- Section of a Sphere –Simple problems.

12 Chalk &Talk

Course Designed by: Dr.A.Hamari Choudhi and Mrs.S.Ragavi



Cos K Level Section A Section B SectionSection CEither orChoice

SectionSection D

OpenChoice


QuestionsK -

LevelNo. of.

QuestionsK -

LevelCIAI

CO1 K3 2 K1&K2

1 K2 2 (K3&K3)

1 (K3)

CO2 K3 2 K2&K3

2 K2 &K3

2 ( K2 &K2)

2(K3)

CIAII

CO3 K3 2 K1&K2

1 K2 2(K3 &K3)

2(K3)

CO4 K4 2 K2&K3

2 K2 &K3

2 ( K3 &K3)

1(K4)


II


4 K3 3 K3 4 3


4 3 2 2


1 2 5 10


4 6 10 20




KLevel

Section A(Multiple

ChoiceQuestions)

Section B(Short

AnswerQuestions)

Section C(Either /

OrChoice)

Section D(Open

Choice)

TotalMarks


Consolidateof %

CIAI

K1 2 2 - - 4 6.67 50

K2 2 4 10 10 26 43.33K3 - - 10 10 20 33.33 33.33K4 - - - 10 10 16.67 16.67

Marks 4 6 20 30 60 100 100

CIAII

K1 2 2 - - 4 6.67 50

K2 2 4 10 10 26 43.33K3 - - 10 10 20 33.33 33.33K4 - - - 10 10 16.67 16.67






component.



orChoice)

Section D(Open

Choice)No. of

QuestionsK –

LevelNo. of

QuestionK –

Level

1 CO1 K3 2 K1&K2 1 K1 2 (K3& K3) 1 (K3)

2 CO2 K3 2 K1&K2 1 K1 2 (K3 &K3) 1 (K3)

3 CO3 K3 2 K1&K2 1 K2 2 (K3 &K3) 1 (K3)

4 CO4 K3 2 K1&K2 1 K2 2 (K3 &K3) 1 (K3)

5 CO5 K4 2 K1&K2 1 K2 2 (K3 &K3) 1 (K4)


10 5 10 5


10 5 5 3







ChoiceQuestions)

Section B(Short

AnswerQuestions)


Choice)


TotalMarks


Consolidated%

K1 5 6 10 - 19 15.8342

K2 5 4 10 10 31 25.83K3 - - 20 30 50 41.67 42K4 - - 10 10 20 16.67 16


of K levels.







Q.No CO K Level Questions16) a CO1 K116) b CO1 K117) a CO2 K117) b CO2 K118) a CO3 K318) b CO3 K319) a CO4 K319) b CO4 K3



20) a CO5 K320) b CO5 K3NB: Higher level of performance of the students is to be assessed by attempting higher level







DEPARTMENT OF MATHEMATICS (CA)


Course Name PROGRAMMING IN C

Course Code 21UCSA21 L P C

Category Allied 4 - 3


Course Objectives:

To provide exposure to problem solving through programming.

To train the student to the basic concepts of the C- programming language.

To provide complete knowledge of C language.

To develop logics which will help them to create programs, applications in C.

Unit: I 12

Overview of C and Data types :History of C – importance of C – character set – C tokens – keywords andidentifiers – constants – variables – data types – declaration of variables – defining symbolic constants –declaring variable as constants - operators – managing input and output operations: Reading and writingCharacter

Unit: II 12

Decision Making and Branching: Introduction – simple if – else...If – nested if – ladder if – switch statement

– conditional operators – goto statements – while statement – do...While statement – for statement.

Unit: III 12

Arrays and Strings: Introduction – one dimensional array – Declaration of one Dimensional array –

initialization of one dimensional arrays – two dimensional arrays – initializing two dimensional arrays -

multi dimensional array – declaring and initializing string variables – reading and writing strings-String

handling Functions

Unit: IV 12

Function and Structures: Introduction to functions – Need for user defined functions – definition of a

function – function calls – function declaration – category of functions –No arguments and no return values

– arguments but no return values - arguments with return values – No arguments but returns a value –

recursion – Introduction to Structure and Unions – defining and declaring a structure variables – accessing

structure members – arrays of structures – structures and functions– unions–size of structures –bit fields.

Functions – Passing strings to functions – The scope , visibility and lifetime of variables – Multifile

Programs.

Unit: V 12

Pointers and File Management: Introduction to pointers – understanding pointers – Accessing the address of

a variable - declaring and initializing of pointer variablesIntroduction to file – defining and opening a file –

closing a file – input/output operations on files- error handling during I / O operations- Random access to

files Command line arguments.



Total Lecture Hours 60 Hrs

Books for Study:

E. Balagurusamy, Programming in ANSI C, Tata McGraw-Hill Publishing Company Limited,

New Delhi, Fourth Edition, 2019.


Sanjay Saxena, A First Course in Computers, Vikas Publishing House Pvt. Ltd, New Delhi2003.

Ron Mansfield, Working In Microsoft Office, Tata Mcgraw-HillEdition, New Delhi 2008.

Web Resources:

1. https://www.slideshare.net/AjitNayak20/computer-fundamentals-intro-to-c-programming-module-i

2. https://www.slideshare.net/avikdhupar/amazing-cCourse Outcomes K LevelOn the successful completion of the course, the students will be able to

CO1: To understand and apply the basic concepts of constants, variables and data

types.

K3

CO2: To develop the different types of operators in C programming language. K3

CO3: To develop programming skills using the fundamentals and basics. K4

CO4: To analyze the string handling functions and different types of functions. K4

CO5: To demonstrate programs using Structures and unions. K4

CO & PO Mappings:


CO 1 3 3 3 3 2 3

CO 2 2 2 3 3 2 2

CO 3 3 3 3 3 3 2

CO 4 2 2 3 2 3 3

CO 5 3 2 3 2 3 3




LESSON PLAN


I Overview of C and Data types :History of C – importance of C – characterset – C tokens – keywords and identifiers – constants – variables – datatypes – declaration of variables – defining symbolic constants – declaringvariable as constants - operators – managing input and output operations:Reading and writing Character

12 Chalk &

Talk, PPT

II Decision Making and Branching: Introduction – simple if – else...If – nested

if – ladder if – switch statement – conditional operators – goto statements –

while statement – do...While statement – for statement.

12 Chalk &

Talk , ICT

III Arrays and Strings: Introduction – one dimensional array – Declaration of

one Dimensional array – initialization of one dimensional arrays – two

dimensional arrays – initializing two dimensional arrays - multi dimensional

array – declaring and initializing string variables – reading and writing

strings-String handling Functions

12 Chalk &

Talk, LCD

IV Function and Structures: Introduction to functions – Need for user defined

functions – definition of a function – function calls – function declaration –

category of functions –No arguments and no return values – arguments but

no return values - arguments with return values – No arguments but returns a

value – recursion – Introduction to Structure and Unions – defining and

declaring a structure variables – accessing structure members – arrays of

structures – structures and functions– unions–size of structures –bit fields.

Functions – Passing strings to functions – The scope , visibility and

lifetime of variables – Multifile Programs.

12 Chalk &

Talk

PPT&LCD

V Pointers and File Management: Introduction to pointers – understanding

pointers – Accessing the address of a variable - declaring and initializing of

pointer variablesIntroduction to file – defining and opening a file – closing a

file – input/output operations on files- error handling during I / O

operations- Random access to filesCommand line arguments.

12 Chalk &

Talk, LCD

Course Designed by:







SectionD

OpenChoice


QuestionsK - Level No. of.

QuestionsK -

LevelCIAI

CO1 K3 2 K1&K2 1 K2 2(K3&K3)

1 (K3)

CO2 K3 2 K2&K3 2 K2&K3 2( K3&K3)

2(K3)

CIAII

CO3 K3 2 K1& K2 1 K2 2(K3&K3)

2(K2)

CO4 K4 2 K2 &K3 2 K2&K3 2(K2&K2)

1(K4)

Question

PatternCIA I &

II

No. of Questions tobe asked

4 K3 3 K3 4 3

No. of Questions tobe answered

4 3 2 2


1 2 5 10


4 6 10 20


KLevel

Section A(MultipleChoiceQuestions)

Section B(ShortAnswerQuestions)

Section C(Either /OrChoice)

Section D(OpenChoice)

TotalMarks


Consolidateof %

CIAI

K1 2 2 - - 4 6.67 50

K2 2 4 10 10 26 43.33K3 - - 10 10 20 33.33 33.33K4 - - - 10 10 16.67 16.67Marks 4 6 20 30 60 100 100

CIAII

K1 2 2 - - 4 6.67 50K2 2 4 10 10 26 43.33K3 - - 10 10 20 33.33 33.33K4 - - - 10 10 16.67 16.67Marks 4 6 20 30 60 100 100

K1- Remembering and recalling facts with specific answers





component.





orChoice)

Section D(Open

Choice)No. of

QuestionsK –

LevelNo. of

QuestionK –

Level

1 CO1 K3 2 K1&K2 1 K1 2 (K3& K3) 1 (K3)

2 CO2 K3 2 K1&K2 1 K1 2 (K3 &K3) 1 (K3)

3 CO3 K3 2 K1&K2 1 K2 2 (K3 &K3) 1 (K3)

4 CO4 K3 2 K1&K2 1 K2 2 (K3 &K3) 1 (K3)

5 CO5 K4 2 K1&K2 1 K2 2 (K3 &K3) 1 (K4)


10 5 10 5


10 5 5 3




Section A(Multiple

ChoiceQuestions)

Section B(Short

AnswerQuestions)


Choice)


TotalMarks


Consolidated%

K1 5 6 10 - 19 15.8342


of K levels.





Q.No CO K Level Questions1 CO1 K1

2 CO1 K23 CO2 K14 CO2 K25 CO3 K16 CO3 K27 CO4 K18 CO4 K29 CO5 K110 CO5 K2







21 CO1 K3

22 CO2 K323 CO3 K324 CO4 K325 CO5 K3


Academic Council Meeting Held on 29.04.2021 3




Course Name PROGRAMMING IN C - LAB

Course Code 21UCSAP1 L P C

Category Allied - 02 01


Course Objectives:

To understand best technologies for solving web client/server problems.

To Analyze and design real time web applications.

To use Java script for dynamic effects and to validate form input entry.

To Analyze to Use appropriate client-side or Server-side applications.

List of Progarammes

Simple interest calculation 2

Find the biggest from two numbers- ordinary /switch case/conditional operator methods 2

Find the biggest from three numbers. 2

Check the given number is odd or even –ordinary/switch case/conditional operatormethods

2

Prime number checking 2

Print all prime numbers between any two given limit 2

Check the given character is vowels or not 2

Perform various arithmetic operations using switch case 2

Find the sum of digits of a given number 2

Binary to decimal-Decimal to binary conversion 2

Display the PASCAL’S triangle 2

Arrange -n numbers in ascending and descending order 2



Arrange -N strings in alphabetical order 2

Palindrome checking 2

Matrix addition/ subtraction/multiplication. Function and structure 2

Total Lab Hours 30

Books for Study:

E. Balagurusamy, Programming in ANSI C, Tata McGraw-Hill Publishing Company Limited,New Delhi, Fourth Edition, 2019.

Books for Reference:

1 Byron Gottfried, Programming with C, Tata McGraw Hill, New Delhi, 2011.

2 Yashavant Kanethkar ,Let us C, BPB Publications, New Delhi , Jan 2010.

Web Resources:

1. https://www.udemy.com/course/c-programming-laboratory/

2. https://wptripura.nic.in/C%20Programming%20Lab.pdf

3.http://www.betbkec.com/assets/images/faculty/cplab.pdf

COURSE OUTCOME K LevelOn the successful completion of the course, the students will be able to

CO1: To illustrate Programming principles K2

CO2: To develop skills to solve mathematical problems. K3

CO3: To relate conditional and looping statements. K2

CO4: To design simple projects. K2

CO5: To construct programs using strings and functions. K3

CO & PO Mapping:


CO 1 3 3 3 3 2 2

CO 2 2 2 3 3 2 3

CO 3 3 2 3 3 3 2

CO 4 2 2 3 2 3 3

CO 5 3 3 2 3 3 3

Course Designed by:







Course Name WEB DESIGIN LAB

Course Code 21UCSSP1 L P C

Category Skill - 02 02


Course Objectives:

To use HTML canvas with JavaScript to draw lines, rectangles, arcs, and circles.

To use HTML canvas with JavaScript to draw gradients and shadows.

To Create HTML Documents with formatting, images, tables, frames.

To Create HTML Documents with multi-media objects.

To Develop a static website using Hyper Text Mark-up Language.

LIST OF PROGRAMMES

1 . Create webpage with Colorful text and Background color using HTML tags 3

2 Create Ordered list and Unordered List of data using HTML tags. 3

3 Create College Time Table using HTML. Also put Border around the table. 3

4 Create Internal and External Hyperlinks. 3

5 Implement the concept of Frames. 3

6 Create Login Form 3

7 Display image on the web browser with hyperlink 3

8 Design Biodata 3

9 Create webpage with different stylesheet 3

10 Create webpage with all character elements in html 3

Total Hours 30

Web Resources:

1. https://www.bitdegree.org/learn/html-color

2. https://www.tutorialrepublic.com/html-tutorial/html-lists.php

3. https://www.w3schools.com/html/html_css.asp

COURSE OUTCOME K LevelOn the successful completion of the course, the students will be able to

CO1: Demonstrate the important HTML tags for designing static pages and separatedesign from content using Cascading Style sheet

K2

CO2: Design screen-based user interfaces, with graphics, textual components, andnavigation systems to achieve a unified, functional environment that results in

K5



static web pages.CO3: Understand the difference between linked, embedded and inline style

specifications.K4

CO4: Analyze a web page and identify its elements and attributes. K3

CO5: Learning the rules and techniques to create and design the web pages. K5

CO & PO Mappings:


CO 1 3 2 2 2 3 3

CO 2 2 2 2 2 3 3

CO 3 3 1 2 2 2 2

CO 4 2 2 2 2 1 3

CO 5 3 3 2 2 2 3

LESSON PLAN

CYCLE WEB DESIGIN LAB Hrs Mode

I

Create webpage with Colorful text and Background color using HTMLtags

3 ICT

Create Ordered list and Unordered List of data using HTML tags. 3

II

Create College Time Table using HTML. Also put Border around the

table.

3 ICT

Create Internal and External Hyperlinks. 3

IIIImplement the concept of Frames. 3 ICT

Create Login Form 3

VIDisplay image on the web browser with hyperlink 3 ICT

Design Biodata 3

VCreate webpage with different stylesheet 3 ICT

Create webpage with all character elements in html 3

Course Designed by:

Mrs. R. K. Vijayalakshmi

B.Sc., MATHS (CA) Syllabus

Documents

Transcript of B.Sc., MATHS (CA) Syllabus