info@cttewc.edu.in 044 2537 5753
info@cttewc.edu.in 044 2537 5753

DEPARTMENT OF MATHEMATICS WELCOME TO BACHELOR OF SCIENCE - MATHEMATICS UNDERGRADUATE PROGRAM WELL EQUIPPED LAB
GSUITE ENABLED CLASSROOMS
SMARTBOARD CLASSROOM
HIGHLY QUALIFIED TEACHERS

Department of Mathematics

Bachelor Of Science - Mathematics

The Department of Mathematics was established in the year 1985. The Department consists of eight faculty members who are committed and dedicated to the cause of teaching mathematics to young minds.

Undergraduate Program Eligibility

Minimum requirements for applying to the program

The Bachelor of Science – Mathematics, undergraduate programme, at minimum requires the applicant to have obtained the pass percentage in Higher Secondary Level exam finals.

Overview

The Department Of Mathematics - Undergraduate Programme

Objective

The Department aims at empowering women by giving them strong foundation in mathematics and also helps them to develop a holistic personality. Teamwork is encouraged and leadership skills are developed through various activities organized for them. The objective is to impart education which empowers them to meet the challenges of today’s highly competitive world.

About Us

The Department of Mathematics was established in the year 1985. The Department consists of eight faculty members who are committed and dedicated to the cause of teaching mathematics to young minds.

Department Contact Information

Contact Us

Bachelor Of Science
Mathematics


Department of Mathematics
CTTEWC main campus ,Chennai.

Mon – Fri 9:00A.M. – 4:00P.M.

Grievance redressal
grievances_math@cttewc.edu.in

General Enquiry
044-2345-5432
enq_math@cttewc.edu.in

Department Microsite

Department Events & Activities

Our Faculty

Department Of Mathematics

Accomplishments & Possibilities

Unique Infrastructure | Academic & Research | Your Future

Allied Maths Lab

Quality Infrastructure for curriculum and beyond

Career Opportunities

Career track

Higher Studies

Scope for Higher Studies

The department has a well furnished Lab with 20 computers to train and give the students insights on topics in curricula & beyond

Allied Mathematics Laboratory

No. of Computers                            – 20 
Computers with Internet Facility         – 20

Software/ Insurance/ Teaching/ Banking/ Scientific Research.

Scope for Higher Studies

M.Sc(Mathematics), M.Sc(Statistics), M.Sc(Actuarial Science), M.Sc(Operational Research & finance),

MCA, M.Sc(Bio-Statistics),M.Sc(Applied Mathematics Modeling and Scientific Computing.

Courses & Outcomes

This Section details the different courses undertaken, over a period of Six Semesters to complete the Bachelor Of Science – Mathematics : Undergraduate Program.

The courses are of the following varieties, Core papers that are mandatory, Electives that can be chosen from list of available electives and Laboratory practicals if applicable. The courses when successfully completed, collectively contribute towards the minimum requirement of awarding a Bachelor’s degree.

As part of the Madras University’s OBE – Outcome Based Education program, the desired outcome is presented along with each course.

Visit our official micro site for further information.

SYLLABUS FROM 2020 - 2021

Syllabus for students who joined on & after 2020 - 2021 academic year

Semester I

Language Paper -I

பொதுத்தமிழ் Paper  – I:

இந்தப் பாடத்தைக் கற்றலின் முடிவில் மாணவியர்கள்

  • இக்கால இலக்கிய வகைகளை அறிந்து கொள்வர்
  • இக்கால இலக்கியங்களைத் துய்க்கும் முறைகளை அறிந்து கொள்வர்
  • இக்கால இலக்கியங்கள் உணர்த்தும் கருத்துக்களை அறிந்து கொள்வர்
  • இக்கால இலக்கிய வரலாற்றைத் தெரிந்து கொள்வர்
  • மொழியைத் திறம்பட பயன்படுத்தும் ஆற்றலைப் பெறுவர்.

 Hindi I:                                                            

By the end of the course, students will be able to

  • recollect the interesting words and phrases used in the prescribed texts
  • practise writing leave letters, complaint letters, order letters, and enquiry letters
  • analyse the concepts or themes in the prescribed texts
  • write error-free official memos, government orders, notices, and various forms of official correspondence

French I:

By the end of the course, students will be able to

  • remember basic words and phrases related to transportation, fruits, and vegetables
  • understand basic grammar concepts like articles, prepositions, verbs, and adjectives
  • practise pronunciation using listening comprehension activities
  • analyse sentence structures in simple texts
  • write short essays using simple vocabulary

English Paper -I

After completing this course, the learners will be able to

  • recognise errors and use correct language
  • recognize their levels of language competency and improve upon them
  • comprehend ideas they listen to
  • demonstrate effective reading abilities
  • write simple sentence and develop them into a short paragraph
  • read and write independently
  • use English effectively for communicative purposes

CORE 01: Algebra

Students will acquire

  • Basic ideas on Theory of Equations, Matrices and Theory of Numbers.
  • Knowledge to solve theoretical and applied problems.

CORE 02: Differential Calculus

Students will acquire Knowledge about

  • The basics of differentiation and its applications.
  • The notion of curvature, evolutes, involutes and polar co-ordinates

Allied Paper- I : Calculus of finite differences and Numerical Analysis–I

Students will acquire knowledge about

  • Numerical techniques used as powerful tools in scientific computing
  • Linear algebraic, transcendental equations and interpolation using finite difference formulae

Semester II

Language Paper -II

பொதுத்தமிழ் Paper  – II:

இந்தப் பாடத்தைக் கற்றலின் முடிவில் மாணவியர்கள்

  • சங்க இலக்கிய அமைப்பினை அறிந்து கொள்வர்
  • அற இலக்கியங்கள் உணர்த்தும் விழுமியங்களை அறிந்து கொள்வர்
  • சங்க இலக்கியச் சிறப்பு இயல்புகளை அறிந்து கொள்வர்
  • சங்கம், சங்க மருவிய கால இலக்கிய வரலாற்றைத் தெரிந்து கொள்வர்
  • மொழியைத் திறம்பட பயன்படுத்தும் ஆற்றலைப் பெறுவர்

 Hindi II:

By the end of the course, students will be able to

  • remember new vocabulary learnt from translation practice (English to Hindi)
  • understand the dramatic elements in one-act plays
  • analyse the themes in short stories
  • enact scenes from one-act plays
  • write critical essays on prescribed texts

 French II:

By the end of the course, students will be able to

  • recollect new vocabulary learnt from prescribed texts
  • understand grammatical rules and sentence structures
  • apply grammar rules and write error-free sentences
  • develop conversations using simple vocabulary
  • write simple essays or stories using new vocabulary

English Paper -II

After completing this course, the learners will be able to

  • recognise errors and use correct language
  • recognize their levels of language competency and improve upon them
  • comprehend ideas they listen to
  • demonstrate effective reading abilities
  • write simple sentence and develop them into a short paragraph
  • read and write independently
  • use English effectively for communicative purposes

CORE 03: Trigonometry

Students will acquire Knowledge

  • About the expansions of Trigonometric Functions, Hyperbolic Functions and sum of Trigonometric Series

CORE 04: Integral Calculus and Vector Analysis

Students will acquire Knowledge about

  • Integration and its geometrical applications, double, triple integrals and improper integrals
  • Vector differentiation and Vector integration

Allied Paper- II : Calculus of finite differences and Numerical Analysis-II

Students will acquire knowledge about

  • Numerical techniques used as powerful tools in scientific computing
  • Numerical Differentiation, Numerical Integration and Difference Equations

Semester III

Language Paper -III

பொதுத்தமிழ் Paper  – III:

இந்தப் பாடத்தைக் கற்றலின் முடிவில் மாணவியர்கள்

  • பக்தி இலக்கியப் பின்னணியை அறிந்து கொள்வர்
  • சிற்றிலக்கிய வகைகளை அறிந்து கொள்வர்
  • சித்தர் இலக்கியங்களின் இயல்புகளை அறிந்து கொள்வர்
  • பக்தி, சிற்றிலக்கிய வரலாற்றைத் தெரிந்து கொள்வர்
  • மொழியைத் திறம்பட பயன்படுத்தும் ஆற்றலைப் பெறுவர்

Hindi III:

By the end of the course, students will be able to

  • describe different literary trends in poetry
  • understand the themes in the prescribed poems
  • analyse the poetic language used by poets like Surdas, Tulasidas, and Meera Bai
  • use newly learnt vocabulary in speech and writing
  • writing critical essays on the prescribed poems

 French III:

 By the end of the course, students will be able to

  • recollect new vocabulary and grammatical rules
  • apply grammatical rules to make meaningful sentences
  • understand cultural references in the prescribed texts
  • write general essays on favourite film, book, monument, etc.

English Paper -III

CORE 05: Analytical Geometry

Students will acquire Knowledge

  • To analyze characteristics and properties of two and three dimensional geometric shapes
  • To develop mathematical arguments about geometric relationships
  • In Geometry and its applications in real world

CORE 06: Differential Equations

Students will acquire knowledge

  • About the methods of solving Ordinary and Partial Differential Equations
  • To introduce Differential Equation as a powerful tool in solving problems in Science

Allied Paper- III : Mathematical Statistics–I

Students will acquire knowledge of

  • The laws of Probability and Baye’s theorem
  • Measures of Location, Dispersion, Correlation and Regression
  • The Discrete and Continuous Probability Distributions

Semester IV

Language Paper -IV

பொதுத்தமிழ் Paper  – IV:

இந்தப் பாடத்தைக் கற்றலின் முடிவில் மாணவியர்கள்

  • காப்பிய அமைப்பை அறிந்து கொள்வர்
  • சிற்றிலக்கிய வகைகளை அறிந்து கொள்வர்
  • காப்பியம், சிற்றிலக்கியம் ஆகியவற்றைச் செல்நெறிகளை அறிந்து கொள்வர்
  • காப்பியம், சிற்றிலக்கிய வரலாற்றைத் தெரிந்து கொள்வர்.
  • படைப்பாற்றலை வளர்த்து கொள்வதோடு பணி வாய்ப்பும் பெறுவர்

 Hindi IV:

By the end of the course, students will be able to

  • understand the characteristics of modern poetry
  • apply the vocabulary used by modern poets in speech and writing
  • analyse the poetic techniques used by the modern poets
  • describe the techniques used in short stories and one-act plays
  • write critical essays on modern writers and their works

French IV:

By the end of the course, students will be able to

  • remember new vocabulary and grammatical rules
  • apply grammatical rules and make error-free sentences
  • understand cultural differences using prescribed texts
  • analyse sentence structures in prescribed texts
  • write essays and letters in the prescribed formats

English Paper -IV

CORE 07: Transform Techniques

Students will acquire knowledge

  • About Laplace Transforms and its inverse
  • To apply Laplace transform in solving Ordinary Differential Equations with constant coefficients, simultaneous Ordinary Differential Equations
  • To solve problems in Fourier series and Fourier transforms

CORE 08: Statics

Students will acquire knowledge about

  • Particles or body in rest under the given forces
  • Forces, equilibrium of a particle and centre of mass of various bodies

Allied Paper- IV : Mathematical Statistics-II

Students will acquire knowledge

  • To provide the foundation of statistical analysis used in varied applications
  • Of Sampling methods, Tests of significance and testing of hypothesis

Semester V

CORE 09: Algebraic Structures-I

  • Students will acquire knowledge about the concepts of Sets, Groups and Rings

CORE 10: Real Analysis-I

Students will acquire knowledge to

  • Apply Mathematical concepts and Principles to perform numerical and symbolic computations
  • Understand and perform simple proofs
  • Know how abstract ideas and rigorous methods in Mathematical Analysis can be applied to practical problems

CORE 11: Dynamics

Students will acquire knowledge of

  • The motion of bodies under the influence of forces
  • Rectilinear motion of particles, Projectiles, Impact and Moment of Inertia of Particles

CORE 12: Discrete Mathematics

Students will acquire knowledge

  • To apply tools and ideas in Mathematics for solving Applied Problems.
  • To Evaluate Boolean functions and to express a logic sentence in terms of predicates, quantifiers, and logical connectives

ELECTIVE 1: PROGRAMMING LANGUAGE ‘C’ WITH PRACTICALS

Students will acquire knowledge

  • About the basic concepts and structure of ‘C’ program
  • To write simple programs with Mathematical Applications

Semester VI

CORE 13: Algebraic Structures-II

  • Students will acquire knowledge about the Vector Spaces, Dual spaces, Inner product spaces and linear transformations

CORE 14: Real Analysis-II

Students will acquire knowledge about

  • The Real Numbers and the Analytic Properties of Real- Valued Functions
  • The Analytic concepts of Connectedness, Compactness, Completeness And Calculus

CORE 15: Complex Analysis

  • Students will acquire knowledge about the basic ideas of analysis of Complex Functions in solving Complex Variables

ELECTIVE 2: GRAPH THEORY

Students will acquire knowledge

  • To describe and apply some basic algorithms for graph
  • To model real world problems using graph theory

ELECTIVE 3: OPERATIONS RESEARCH

Students will acquire knowledge in

  • Solving Linear Programming Problems
  • Sequencing the jobs to be carried out based on Cost Optimization
  • Solving assignment and transportation problems and Queuing Theory Models

SYLLABUS PRIOR TO 2020 - 2021

Syllabus for students who joined before 2020- 2021 academic year

Semester I

Language Paper -I

பொதுத்தமிழ் Paper I – CLA1L

மாணவியர்கள் இந்தப் பாடத்தைக் கற்றலின் முடிவில்,

  • நாட்டுப்புற இலக்கியங்களின் வகைப்பாடுகள்,சிறுகதை, உரைநடை, மரபு கவிதை, புதுக்கவிதை ஆகியவற்றின் ஆசிரியர் குறிப்புகள், அவ்வாசிரியர்கள் வாழ்ந்த காலச்சூழல், அவர்கள் எழுதிய நூல்குறிப்புகள் முதலானவற்றை நினைவில் கொள்கிறார்கள்
  • படைப்பிலக்கியங்களின் முக்கியத்துவத்தையும் இலக்கியங்களின் தொன்மையையும் புரிந்து கொள்கிறார்கள்
  • ஊடகத்தில் மொழியைப் பயன்படுத்தும் முறை, துறைசார்ந்த கலைச்பசொற்களை அறிந்து கொள்ளுதல், சொற்களின் பொருள் அறிதல் ஆகிய மொழிப்பயிற்சியைப் பெறுகிறார்கள்
  • நாட்டுப்புற இலக்கியங்களின் வாயிலாகப் பெறப்படும் மனித உணர்வுகளையும் தற்கால இலக்கியங்களில் வெளிப்படும் சமூக அவலங்களையும் மதிப்பீடு செய்யும் தன்மையைப் பெறுகிறார்கள்
  • நவீன இலக்கிய உத்திகளை உள்வாங்கி அவற்றைப் பின்பற்றிக் கவிதை, கட்டுரை எழுதும் திறனைப் பெறுகிறார்கள்

Hindi I – CLE1E

By the end of the course, students will be able to
● recollect the interesting words and phrases used in the prescribed texts
● practise writing leave letters, complaint letters, order letters, and enquiry letters
● analyse the concepts or themes in the prescribed texts
● write error-free official memos, government orders, notices, and various forms of official correspondence

French I – CLK1S

By the end of the course, students will be able to
● remember basic words and phrases related to transportation, fruits, and vegetables
● understand basic grammar concepts like articles, prepositions, verbs, and adjectives
● practise pronunciation using listening comprehension activities
● analyse sentence structures in simple texts
● write short essays using simple vocabulary

English I – CLZ1L

By the end of the course, students will be able to
• remember English vowel and consonant sounds and symbols, along with the rules for word stress, sentence stress, intonation, and voice modulation
• understand the life and works of renowned writers
• apply grammatical rules of tense, aspect, auxiliaries, question tags, interrogative / negative statements in writing error-free sentences
• analyse poetic language or story elements in the prescribed texts
• write critical essays and enact scenes from the prescribed stories

Core Paper I - Algebra - TAM1A

By the end of the course, students will be able to
● solve a polynomial equation and find real roots which are increased or decreased
● analyse nature of infinite series and find its sum
● assess Symmetric, Skew Symmetric, Hermition, and Skew Hermition and perform operations on Matrices
● evaluate the concept of Congruence and derive Fermat’s and Wilson’s theorems

Core Paper II - Trigonometry - TAM1B

By the end of the course, students will be able to
● derive expansion of powers of 𝑠𝑖𝑛𝜃, 𝑐𝑜𝑠𝜃, and expansions of sin 𝑛𝜃 , 𝑐𝑜𝑠 𝑛𝜃 and tan𝑛𝜃.
● find the relation between Circular and Hyperbolic functions
● understand and solve problems in Hyperbolic and Inverse Hyperbolic Functions
● evaluate complex numbers in algebraic and trigonometric forms
● convert trigonometric series to algebraic series and solve them

Allied Paper I - Calculus of Finite Differences and Numerical Analysis I - SBAME

By the end of the course, students will be able to
● find solution for algebraic and transcendental equations using iterations
● solve simultaneous linear system of equations using numerical methods
● find finite differences of polynomials using numerical operators
● solve problems of interpolation with equal and unequal intervals
● derive central difference interpolation formula with equal intervals

Semester II

Language Paper -II

பொதுத்தமிழ் Paper II – CLA2H

மாணவியர்கள் இந்தப் பாடத்தைக் கற்றலின் முடிவில்,

  • சிற்றிலக்கியங்கள், கிறித்துவ இசுலாமிய இலக்கியங்கள் ஆகியவற்றின் ஆசிரியர் குறிப்புக்களையும், காலச்சூழலையும் நினைவில் வைத்துக் கொள்கிறார்கள்
  • சிற்றிலக்கியங்களில் எளிய மக்கள் கதைத் தலைவன் தலைவிகளாகப் படைக்கப்பட்டதன் நோக்கத்தைப் புரிந்து கொள்கிறார்கள்
  • நிலம் சார்ந்த மக்களின் வாழ்க்கை முறையையும் மூவேந்தர் மரபையும் காப்பிய இலக்கியத் தன்மையையும் புரிந்து கொள்கிறார்கள்
  • சிற்றிலக்கியங்களைப் பிற இலக்கியங்களோடு ஒப்பிட்டு இவ்விலக்கியங்கள் சமூகத்தை எவ்வாறு பிரதிபலிக்கின்றன என்பதை மதிப்பீடு செய்கிறார்கள்
  • இலக்கண விதிகளைக் கொண்டு தமிழ் மொழியில் தவறின்றிப் பேசவும் எழுதவும் பயிற்சி செய்கிறார்கள்

Hindi II – CLE2G

By the end of the course, students will be able to
● remember new vocabulary learnt from translation practice (English to Hindi)
● understand the dramatic elements in one-act plays
● analyse the themes in short stories
● enact scenes from one-act plays
● write critical essays on prescribed texts

French II – CLK2L

By the end of the course, students will be able to
● recollect new vocabulary learnt from prescribed texts
● understand grammatical rules and sentence structures
● apply grammar rules and write error-free sentences
● develop conversations using simple vocabulary
● write simple essays or stories using new vocabulary

English II – CLZ2L

By the end of the course, students will be able to
• recollect new vocabulary learnt through word-building activities
• apply grammatical rules of tenses, framing questions, and question tags in identifying errors in sentences
• analyse figurative language in prescribed poems
• evaluate story elements in short stories
• synthesise information and write critical essays on poems, short stories, and one-act plays

Core Paper III - Differential Calculus - TAM2A

By the end of the course, students will be able to
● find derivatives of functions using Leibnitz’s theorem
● calculate maxima and minima of functions of two variables
● find curvature, radius of curvature, and centre of curvature for given functions
● determine angle of intersection of two curves and slopes of tangent in polar coordinates
● find asymptotes parallel to axes and intersection of a curve with an asymptote

Core Paper IV - Analytical Geometry - TAM2B

By the end of the course, students will be able to
● understand chord of contact, polar and pole, conjugate points, and conjugate lines of conics
● describe co-normal points and concyclic points of conic, and derive polar equations of straight lines and circles
● write equations of chord, tangent and normal of conics, and prove the equation of asymptotes of hyperbola
● derive systems of planes and orthogonal projections
● represent lines, angle between a line and a plane, co-planar lines, shortest distance between two skew lines and intersection of three planes
● derive equation of a sphere and section of a sphere by a plane
● evaluate radical plane, coaxial system of spheres, and orthogonal spheres

Allied Paper II - Calculus of Finite Differences and Numerical Analysis II

By the end of the course, students will be able to
● derive derivative of a function using numerical difference formula
● find integration of a function using special cases of general quadrature formula
● solve linear homogeneous and non-homogeneous difference equations using appropriate numerical methods

Semester III

Language Paper -III

பொதுத்தமிழ் Paper III – CLA3M

மாணவியர்கள் இந்தப் பாடத்தைக் கற்றலின் முடிவில்,

  • சைவ வைணவ இலக்கியக் குறிப்புகள், நாயன்மார்கள் மற்றும் ஆழ்வார்களின் பெயர்கள், வள்ளலார் பற்றிய குறிப்புகள், சமூக அரசியல் காலச்சூழல்கள் போன்றவற்றை நினைவுப்படுத்திக்  கொள்கிறார்கள்
  • பக்தி இலக்கியங்களின் இறைநெறியையும் கும்பகர்ணனின் அறவுணர்வையும், கன்றை இழந்த பசுவிற்கு நீதி வழங்கிய மனுச்சோழனின் முறை மாண்பையும் புரிந்து கொள்கிறார்கள்
  • பக்தி இலக்கியங்கள் உணர்த்தும் மெய்நெறியைக் கடைப்பிடித்து வாழ்வியல் முறையை மேம்படுத்திக் கொள்கிறார்கள்
  • உலகியல் வாழ்க்கையிலிருந்து நம்மை வேறுபடுத்தி நிலையான வீடுபேற்றை அடைவதற்கான வழிமுறைகளைப் பகுத்துணர்கிறார்கள்
  • அறம், பக்தி, நீதி, ஒழுக்கம் ஆகிய தனிமனிதப் பண்புகளை மதிப்பீடு செய்கிறார்கள்
  • அரசு அலுவலகங்கள் மற்றும் தனியார் நிறுவனங்கள் ஆகியவற்றிற்குக் கடிதம் எழுதும் திறனையும் இலக்கிய நிகழ்வுகளைக் காட்சியாக நடித்துக் காட்டும் திறனையும் பெறுகிறார்கள்

Hindi III – CLE3H

By the end of the course, students will be able to
● describe different literary trends in poetry
● understand the themes in the prescribed poems
● analyse the poetic language used by poets like Surdas, Tulasidas, and Meera Bai
● use newly learnt vocabulary in speech and writing
● writing critical essays on the prescribed poems

French III – CLK3M

By the end of the course, students will be able to
● recollect new vocabulary and grammatical rules
● apply grammatical rules to make meaningful sentences
● understand cultural references in the prescribed texts
● write general essays on favourite film, book, monument, etc.

English III – CLZ3P

By the end of the course, students will be able to
• remember complex vocabulary used in literary contexts
• apply grammatical rules and avoid errors in speaking and writing
• analyse poetic elements in prescribed poems
• evaluate various biographies and critique the lives and works of famous personalities
• develop their interview skills through mock-interviews

Core Paper V - Integral Calculus - TAM3A

By the end of the course, students will be able to
● obtain reduction formula for various functions
● find area of curved surfaces and volume of solid by applying integrals
● describe the relationship between beta and gamma functions
● evaluate directional derivative, gradient, divergence curl, and unit normal
● solve the problems in line, surface, and volume integrals using Gauss, Stokes, and Green’s theorem

Core Paper VI - Differential Equations - TAM3B

By the end of the course, students will be able to
● understand linear, non-linear, partial, and ordinary differential equations
● identify methods to solve homogeneous and non-homogeneous linear and higher order equations
● form partial differential equations by eliminating arbitrary constants and arbitrary functions
● solve partial differential equation using various methods

Allied II - Mathematical Statistics I - SBAOA

By the end of the course, students will be able to
● understand data classification and apply measures of central tendency and dispersion to grouped and ungrouped data cases
● interpret univariate and bivariate random variables and mathematical expectations
● analyse standard distributions
● compute univariate and bivariate regression through correlation analysis

Semester IV

Language Paper -IV

பொதுத்தமிழ் Paper IV – CLA4K

மாணவியர்கள் இந்தப் பாடத்தைக் கற்றலின் முடிவில்,

  • சங்க இலக்கியங்கள், நீதி இலக்கியங்கள், காப்பியங்கள் ஆகியவற்றின் காலப் பின்னணி, சங்கப்புலவர்களின் வாழ்க்கைக் குறிப்புகள் போன்றவற்றை நினைவில் வைத்துக் கொள்கிறார்கள்
  • எட்டுத்தொகை, பத்துப்பாட்டு, சிலப்பதிகாரம், மணிமேகலை, திருக்குறள் ஆகியவற்றில் பண்டைத் தமிழ் மக்களின் அகம் புறம் சார்ந்த வாழ்வியல் நிலைப்பாட்டினைப் புரிந்து கொள்கிறார்கள்
  • மொழிப்பெயர்ப்பு விதிகளையும் உத்திகளையும் பயன்படுத்தி எழுத்துப் பயிற்சியைப் பெறுகிறார்கள்
  • செவ்வியல் இலக்கியங்களைக் கற்பதன் மூலம் திணை, துறை விளக்கங்களைத் திறனாய்வு செய்கிறார்கள்
  • பண்டைய மக்களின் வாழ்வியல் கொள்கைகளைத் தற்கால மக்களின் வாழ்வோடு ஒப்பிட்டு மதிப்பீடு செய்கிறார்கள்
  • மொழிப்பெயர்ப்புப் பயிற்சியின் மூலம் கட்டுரை, அறிக்கை ஆகியவற்றை மொழியாக்கம் செய்கிறார்கள்

Hindi IV – CLE4J

By the end of the course, students will be able to
● understand the characteristics of modern poetry
● apply the vocabulary used by modern poets in speech and writing
● analyse the poetic techniques used by the modern poets
● describe the techniques used in short stories and one-act plays
● write critical essays on modern writers and their works

French IV – CLK4N

By the end of the course, students will be able to
● remember new vocabulary and grammatical rules
● apply grammatical rules and make error-free sentences
● understand cultural differences using prescribed texts
● analyse sentence structures in prescribed texts
● write essays and letters in the prescribed formats

English IV – CLZ4R

By the end of the course, students will be able to
• remember interesting words and phrases used in one-act plays and selected scenes from Shakespeare
• analyse the complex themes in one-act plays and short stories
• apply various techniques in letter writing, précise writing, paraphrasing, and report writing
• evaluate writing techniques used by playwrights and short story writers
• enact scenes from Shakespeare, one-act plays, or short stories

Core Paper VII - Transform Techniques TAM4A

By the end of the course, students will be able to
● understand concept of Laplace transform, Fourier series, and Fourier transform
● derive Fourier series of periodic functions by evaluating Fourier coefficients
● evaluate problems using properties of transform techniques
● apply Laplace and Fourier transform to initial and boundary value problem

Core Paper VIII - Statics - TAM4B

By the end of the course, students will be able to
● understand basic concepts like distance, time, velocity, and acceleration
● apply these concepts to solve problems related to force
● find centre of mass and evaluate stability of equilibrium

Allied II - Mathematical Statistics II - SBAOB

By the end of the course, students will be able to
● understand basic principles of statistical inference (estimation and hypothesis testing) and sampling distributions
● analyse statistical inference procedures (confidence intervals, hypothesis tests for one population, and hypothesis tests for two populations)
● construct estimators for given population and derive their properties
● choose appropriate methods for testing of hypothesis of large samples and small samples

Semester V

Core Paper IX - Algebraic Structures - TAM5A

By the end of the course, students will be able to
● understand the properties of group, ring, and field
● derive proofs to various theoretical statements and problems using group, ring, and field
● apply algebraic structures in solving problems

Core Paper X - Real Analysis I - TAM5B

By the end of the course, students will be able to
● describe fundamental properties of set theory in real analysis
● classify countable and uncountable sets
● understand concept of sequences, limit of a sequence, convergence, divergence, and bounded sequences
● analyse series using different types of test
● describe concept of metric spaces and find limits in metric spaces

Core Paper XI - Dynamics - TAM5C

By the end of the course, students will be able to
● identify the relationship among distance, time, velocity, and acceleration
● understand concepts of balancing of rotating mass
● analyse inertia forces in mechanism
● find motion of a particle
● apply vector mechanics to solve kinematic problems

Core paper XII - Discrete Mathematics - TAM5D

By the end of the course, students will be able to
● understand basic principles of set theory and Boolean Algebra
● construct switching circuits and Boolean gates
● enumerate generating functions
● apply Graph theory to derive mathematical proofs and solve problems

Elective I - Programming Language ‘C’ with Practicals and Theory - TEM5A

By the end of the course, students will be able to
● understand concept of ‘C’ Programming and its different modules that include conditional and looping expressions, arrays, strings, functions, pointers, structures, and file programming
● apply programming concepts in writing a program
● create, compile, and debug programs in ‘C’ language

Semester VI

Core Paper XIIILinear Algebra - TAM6A

By the end of the course, students will be able to
● understand basis, dimension, kernel, rank, and nullity of vector space
● recollect properties of vector space, dual space, and inner product space
● construct an orthonormal base for any vector space using GramSchmidt orthogonalisation process
● apply principles of matrix algebra to linear transformation

Core Paper XIV - Real Analysis II - TAM6B

By the end of the course, students will be able to
● understand open and closed sets, connected sets, and bounded sets
● describe connectedness, compactness in a metric space, and continuity of a function
● determine Riemann integrability of a bounded function, and study its existence and properties
● define derivatives and understand the concept through Rolle’s theorem, Law of Mean, and fundamental theorem of Calculus
● differentiate between pointwise and uniform convergence of sequence of functions

Core Paper XV - Complex Analysis - TAM6C

By the end of the course, students will be able to
● understand analytic functions and complex differentiable functions as power series
● compute complex line integrals and real integrals using residue theorem
● determine whether a given function is differentiable or not, and find its derivative if it is differentiable
● apply Cauchy theorem to verify and solve line integral
● solve differentiation and line integral problems using standard theorems

Elective II - Graph Theory - TEM6B

By the end of the course, students will be able to
● understand the basic principles of Graph Theory
● construct graphs using theoretical concepts
● derive simple mathematical proofs using graphs
● apply Graph Theory to solve practical problems

Elective III - Operations Research - TEM6C

By the end of the course, students will be able to
● solve linear programming problems using simplex, Big–M-method and duality, and find optimum solutions with profit maximisation
● solve balanced and unbalanced assignment problems
● find feasible solutions for transportation problems using NWC, LCM, and VAM method and calculate its optimality using MODI methods
● evaluate relationship between primal and dual of an LPP
● compute CPM and PERT for a network