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.
The Bachelor of Science – Mathematics, undergraduate programme, at minimum requires the applicant to have obtained the pass percentage in Higher Secondary Level exam finals.
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.
Bachelor Of Science
Mathematics
Department of Mathematics
CTTEWC main campus ,Chennai.
Mon – Fri 9:00A.M. – 4:00P.M.
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Enquiries
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Department Microsite
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Research Scientist Actuary Statistician Operations Research Analyst Computer Scientist Inventory Strategist Geophysical Mathematician Geodesist Environmental Mathematician |
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.
Program Outcomes
On successful completion of Bachelor of Science programme, students will develop a scientific temper, critical thinking, problem solving skills, and research attitude for the betterment of the society.
Program Specific Outcomes
By the end of B.Sc. Maths programme, students will be able to get better understanding of mathematical concepts and their applications.
As part of the Madras University’s OBE – Outcome Based Education program, the desired outcome is presented along with each course.
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Semester I
பொதுத்தமிழ் Paper – I:
இந்தப் பாடத்தைக் கற்றலின் முடிவில் மாணவியர்கள்
Hindi I:
By the end of the course, students will be able to
French I:
By the end of the course, students will be able to
After completing this course, the learners will be able to
Students will acquire
Students will acquire Knowledge about
Students will acquire knowledge about
Semester II
பொதுத்தமிழ் Paper – II:
இந்தப் பாடத்தைக் கற்றலின் முடிவில் மாணவியர்கள்
Hindi II:
By the end of the course, students will be able to
French II:
By the end of the course, students will be able to
After completing this course, the learners will be able to
Students will acquire Knowledge
Students will acquire Knowledge about
Students will acquire knowledge about
Semester III
பொதுத்தமிழ் Paper – III:
இந்தப் பாடத்தைக் கற்றலின் முடிவில் மாணவியர்கள்
Hindi III:
By the end of the course, students will be able to
French III:
By the end of the course, students will be able to
Students will acquire Knowledge
Students will acquire knowledge
Students will acquire knowledge of
Semester IV
பொதுத்தமிழ் Paper – IV:
இந்தப் பாடத்தைக் கற்றலின் முடிவில் மாணவியர்கள்
Hindi IV:
By the end of the course, students will be able to
French IV:
By the end of the course, students will be able to
Students will acquire knowledge
Students will acquire knowledge about
Students will acquire knowledge
Semester V
Students will acquire knowledge to
Students will acquire knowledge of
Students will acquire knowledge
Students will acquire knowledge
Semester VI
Students will acquire knowledge about
Students will acquire knowledge
Students will acquire knowledge in
Semester I
பொதுத்தமிழ் Paper I – CLA1L
மாணவியர்கள் இந்தப் பாடத்தைக் கற்றலின் முடிவில்,
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
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
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
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
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
பொதுத்தமிழ் Paper II – CLA2H
மாணவியர்கள் இந்தப் பாடத்தைக் கற்றலின் முடிவில்,
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
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
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
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
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
பொதுத்தமிழ் Paper III – CLA3M
மாணவியர்கள் இந்தப் பாடத்தைக் கற்றலின் முடிவில்,
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.
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
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
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
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
பொதுத்தமிழ் Paper IV – CLA4K
மாணவியர்கள் இந்தப் பாடத்தைக் கற்றலின் முடிவில்,
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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