The department that grounds every engineering, management and science programme at TIST in linear algebra, calculus, differential equations and discrete structures — and runs its own quiz, modelling and orientation programmes besides.
Mathematics is described by the department as the “Queen of all Sciences” — a foundational discipline emphasised across every stream at TIST. The department is staffed by veteran mathematicians and university rank holders whose teaching is credited with strengthening student performance across all engineering, management and science programmes.
“The essence of mathematics is not to make simple things complicated, but to make complicated things simple.” — Stanley Gudder
Rather than running its own degree programme, the department teaches core and applied mathematics courses into the B.Tech, M.Tech and MBA curricula of every other department, and separately runs student-facing enrichment activities of its own — orientation classes, remedial coaching, math clubs and an annual statewide quiz.
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Courses Handled |
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Linear Algebra and Calculus |
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Vector Calculus, Differential Equations, and Transforms |
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Partial Differential Equations and Complex Analysis |
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Discrete Mathematical Structures |
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| Probability Distribution, Random Processes, and Numerical Methods | ||
| Graph Theory | ||
| Probability Statistics and Advanced Graph Theory | ||
| Computer Programming and Computational Techniques | ||
| Applied Linear Algebra | ||
| Number Theory | ||
| Computational Fundamentals for Machine Learning | ||
| Mathematics for Machine Learning | ||
| Quantitative Techniques for Managers ( MBA ) | ||
| Applied Mathematics in MTech Construction Management | ||
| Optimization Techniques in MTech Power Electronics | ||
| Mathematical Foundation in Mtech Data Science | ||
The department teaches mathematics courses across nearly every programme at TIST, spanning core B.Tech semesters through to specialised M.Tech and MBA electives.
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MAT 101 LINEAR ALGEBRA AND CALCULUS |
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Sl.No: |
Course Outcomes |
Level |
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CO1 |
Solve systems of linear equations, diagonalizable matrices and characterize quadratic forms |
L3 |
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CO2 |
Compute the partial and total derivatives and maxima and minima of multivariable functions |
L2 |
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CO3 |
Compute multiple integrals and apply them to find areas and volumes of geometrical shapes, mass and center of gravity of plane laminas |
L2 |
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CO4 |
Perform various tests to determine whether a given series is convergent, absolutely convergent or conditionally convergent |
L3 |
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CO5 |
Determine the Taylor and Fourier series expansion of functions and learn their applications. |
L2 |
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MAT 102 VECTOR CALCULUS, DIFFERENTIAL EQUATIONS AND TRANSFORMS |
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Sl. No: |
Course Outcomes |
Level |
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CO1 |
Compute the derivatives and line integrals of vector functions and learn their applications |
L2 |
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CO2 |
Evaluate surface and volume integrals and learn their inter-relations and applications. |
L2 |
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CO3 |
Solve homogeneous and non-homogeneous linear differential equation with constant coefficients |
L3 |
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CO4 |
Compute Laplace transform and apply them to solve ODEs arising in engineering |
L2 |
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CO5 |
Determine the Fourier transforms of functions and apply them to solve problems arising in engineering |
L2 |
MAT201 PARTIAL DIFFERENTIAL EQUATIONS AND COMPLEX ANALYSIS | ||
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Sl. No: | Course Outcomes | Level |
CO 1 | Understand the concept and the solution of partial differential equation. | L2 |
CO2 | Analyze and solve one dimensional wave equation and heat equation. | L3 |
CO3 | Understand complex functions, its continuity differentiability with the use of Cauchy Riemann equations. | L2 |
CO4 | Evaluate complex integrals using Cauchy’s integral theorem and Cauchy’s integral formula, understand the series expansion of analytic function | L3 |
CO5 | Understand the series expansion of complex function about a singularity and Apply residue theorem to compute several kinds of real integrals. | L2 |
MAT203 – DISCRETE MATHEMATICAL STRUCTURES (CS,IT,EL) | ||
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Sl. No: | Course Outcomes | Level |
CO 1 | Learn the fundamentals of enumeration or countingtechniques and methods of arrangements and derangements. | L2 |
CO 2 | Learn the fundamentals of propositional logic and predicate calculus and apply to test the validity of statements | L3 |
CO 3 | Learn the ideas of relations, functions equivalence relation and posets and it’s applications | L2 |
CO4 | Understand recurrence relation and apply the method of solving different type of recurrence relations using generating functions | L3 |
CO5 | Understand Fundamentals of Algebraic structures its properties such as monoids and groups | L2 |
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MAT202 PROBABILITY, STATISTICS AND NUMERICAL METHODS |
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Sl. No. |
Course Outcomes |
Level |
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CO1 |
Understand the concept, properties and important models of discrete random variables and, using them, analyze suitable random phenomena. |
L2 |
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CO2 |
Understand the concept, properties and important models of continuous random variables and, using them, analyze suitable random phenomena. |
L2 |
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CO3 |
Perform statistical inferences concerning characteristics of a population based on attributes of samples drawn from the population |
L3 |
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CO4 |
Compute roots of equations, evaluate definite integrals and perform interpolation on given numerical data using standard numerical techniques |
L2 |
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CO5 |
Apply standard numerical techniques for solving systems of equations, fitting curves on given numerical data and solving ordinary differential equations. |
L3 |
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MAT206- GRAPH THEORY(CS) |
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Sl. No: |
Course Outcomes |
Level |
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CO1 |
Explain vertices and their properties, types of paths, classification of graphs and trees & their properties. |
L2 |
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CO2 |
Demonstrate the fundamental theorems on Eulerian and Hamiltonian graphs. |
L2 |
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CO3 |
Illustrate the working of Prim’s and Kruskal’s algorithms for finding minimum cost spanning tree and Dijkstra’s and Floyd-Warshall algorithms for finding shortest paths. |
L3 |
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CO4 |
Explain planar graphs, their properties and an application for planar graphs. |
L3 |
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CO5 |
Explain the Vertex Color problem in graphs and illustrate an example application for vertex coloring. |
L3 |
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MAT204- PROBABILITY DISTRIBUTIONS, RANDOM PROCESS AND NUMERICAL METHODS (EC, EL and EE) |
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Sl. No: |
Course Outcomes |
Level |
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CO1 |
Understand the concept, properties and important models of discrete random variables, and using them analyze suitable random phenomena |
L2 |
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CO2 |
Understand the concept, properties and important models of continuous random variables, and using them analyze suitable random phenomena. |
L2 |
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CO3 |
Analyze random processes using autocorrelation, power spectrum and Poisson process model as appropriate |
L3 |
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CO4 |
Compute roots of equations, evaluate definite integrals and perform interpolation on given numerical data using standard numerical techniques |
L3 |
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CO5 |
Apply standard numerical techniques for solving systems of equations, fitting curves on given numerical data and solving ordinary differential equations |
L3 |
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MAT208- PROBABILITY, STATISTICS AND ADVANCED GRAPH THEORY(IT) |
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Sl. No: |
Course Outcomes |
Level |
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CO1 |
Understand the concept, properties and important models of discrete random variables and, using them, analyse suitable random phenomena |
L2 |
|
CO2 |
Understand the concept, properties and important models of continuous random variables and, using them, analyse suitable random phenomena |
L2 |
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CO3 |
Perform statistical inferences concerning characteristics of a population based on attributes of samples drawn from the population |
L3 |
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CO4 |
Understand the basic concept in Graph theory, Understand planar graphs and it’s properties. Demonstrate the knowledge of fundamental concepts of matrix representation of graphs, Apply fundamental theorems on Eularian graphs and Hamiltonian graphs. |
L2 |
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CO5 |
Understand the basic concept in Trees,coloring of graphs. Apply coloring of graphs, Apply algorithm to find the minimum spanning tree |
L2 |
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MA101 LINEAR ALGEBRA AND CALCULUS |
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|---|---|---|
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Sl. No. |
Course Outcomes |
Level |
|
CO1 |
Solve systems of linear equations, diagonalize matrices and characterize quadratic forms |
L3 |
|
CO2 |
Determine the partial and total derivatives and maxima and minima of multivariable functions. |
L2 |
|
CO3 |
Apply multiple integrals to find areas, volumes of geometrical shapes, mass and centre of gravity of plane laminas. |
L3 |
|
CO4 |
Determine whether a given series is convergent. |
L2 |
|
CO5 |
Determine the Taylor and Fourier series expansion of functions. |
L2 |
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MA102 VECTOR CALCULUS, DIFFERENTIAL EQUATIONS AND TRANSFORMS |
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Sl. No. |
Course Outcomes |
Level |
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CO1 |
Apply the concept of vector functions to work with conservative vector field. |
L3 |
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CO2 |
Apply computing integrals of scalar and vector field over surfaces in 3 dimensional space. |
L3 |
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CO3 |
Solve homogeneous and non-homogeneous linear differential equation with constant coefficients. |
L3 |
|
CO4 |
Apply Laplace transforms in various Engineering problems. |
L3 |
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CO5 |
Apply Fourier transforms in various engineering problems. |
L3 |
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MA 201 COMPLEX ANALYSIS AND LINEAR ALGEBRA |
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Sl. No. |
Course Outcomes |
Level |
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CO1 |
Determine the properties of a given function and transformation |
L2 |
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CO2 |
Solve contour integrals |
L3 |
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CO3 |
Express the given function as power series |
L2 |
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CO4 |
Solve real definite integrals using residue theorem |
L3 |
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CO5 |
Solve a system of equations using Linear Algebra |
L3 |
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MA 202 PROBABILITY DISTRIBUTIONS, TRANSFORMS AND NUMERICAL METHODS |
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|---|---|---|
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Si.No |
Course outcomes |
Level |
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CO1 |
Explain different types of probability distributions to characterize the population. |
L2 |
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CO2 |
Solve integrals and differential equations using Laplace transforms. |
L3 |
|
CO3 |
Express the given function as Fourier integrals. |
L2 |
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CO4 |
Solve differential equations using numerical methods |
L3 |
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CO5 |
Solve integrals using numerical methods |
L3 |
Awarded a Ph.D. for the dissertation “A Study on Intuitionistic Fuzzy Logic and Its Applications,” advised by Dr. Shiny Jose (retired professor, St. George’s College, Aruvithura). The department recognised her dedication to advancing research and education and her ability to inspire students and colleagues.
Beyond regular coursework, the department runs orientation, remedial and enrichment programmes, and organises statewide student competitions.
Statewide intercollegiate quiz competition. Winners: Nirmala College (1st, ₹3,000), M A College of Arts & Science (2nd, ₹2,000), and TIST (3rd, ₹1,500).
All Kerala Intercollegiate Mathematics Quiz 2025 Organized by the Department of Mathematics, Toc H Institute of Science and Technology, Arakkunnam
The Department of Mathematics, Toc H Institute of Science and Technology (TIST), Arakkunnam, organized the All Kerala Intercollegiate Mathematics Quiz 2025 with great enthusiasm and participation from colleges across Kerala. The event aimed to inspire mathematical thinking and promote academic collaboration among young minds.
The day began with the All Kerala Intercollegiate Mathematics Quiz 2025, the most awaited intellectual highlight of the event.
The Quiz was conducted by Dr. Liju Alex, Assistant Professor, Department of Mathematics, BCM College, Kottayam, an eminent academician, researcher, and engaging quiz master with extensive experience in the field of mathematics. His lively and insightful approach made the competition both challenging and enjoyable for the participants.
Following the quiz, the Valedictory Function began with a welcome speech delivered byDr. Reshmi R, Head of the Department of Mathematics, TIST. The function is presided byMr. Kurian Thomas, Manager, Toc H Public School Society, who delivered the Presidential Address, and Dr. Liju Alex, who presented the Keynote Address. The function also featured felicitations by Mr. Madhu Cherian, Secretary, Toc H Public School Society, and Prof. (Dr.) Preethy Thekketh, Principal, TIST.Students from different colleges in and around Ernakulam actively participated, showcasing their mathematical aptitude and teamwork.
The winners of the competition are
First Prize winners are Mr. Athul Sibichen& Mr. Hishen M.J from Nirmal College, Department of Mathematics, Nirmala College, Muvattupuzha. They got Ever-Rolling Trophy with a cash prize of Rs.3000. The second prize winners are Mr. Arikal Fabrizio Jose & Mr. Angelo George Joseph from M A College of Arts & Science, Kothamangalam. They got Trophy with a cash prize of Rs 2000/- and third prize winners are Mr. Harshit Kumar Singh & Mr. Abel Kurian from Department of Computer Science, TIST. They got Trophy with a cash prize of Rs 1500/-.
The event concluded with a Vote of Thanks proposed by Asst. Prof. Asha G. Pillai, Department of Mathematics, expressing gratitude to all dignitaries, participants, and organizers.
The All Kerala Intercollegiate Mathematics Quiz 2025 was a resounding success, reflecting the Department’s commitment to fostering mathematical excellence, creativity, and collaborative learning among students across Kerala.
Still and working-model categories showcasing mathematically inspired models with real-world applications. Prize winners spanned departments including IT, Civil Engineering and Computer Science, with cash prizes from ₹1,000 to ₹2,000.
Intra Collegiate Mathematical Modelling Competition
The Mathematical Modelling Competition was conducted by the Department of Mathematics, on 27 March 2025.The participants were students of various departments of TIST. The competition was conducted for both Still Model and Working Model categories, where students showcased innovative and mathematically inspired models integrating theory with real-world applications. The prize distribution for the winners are awarded in All Kerala Inter Collegiate Mathematics Quiz Competition held on 17 October 2025. The prize winners are
First Prize winners for still model are Ms. Neha Sunil and Ms. Sheen Tharaken from Department of Information Technology. They got a cash prize of Rs 2000 with certificate. The second prize winners are Ms. Aiswarya Reghu and Ms. A. G. Nandana from Department of Civil Engineering. They got a cash prize of Rs 1500 with certificate.The third prize winners are Ms. Devananda Nair and Ms. Irine Paul from Department of Computer Science Engineering.They got a cash prize of Rs 1000 with certificate.
First Prize winners for working model are Mr.Sanjay P from Department of Mechanical Engineering. They got a cash prize of Rs 2000 with certificate. The second prize winners are Mr. Alan Roy and Mr. Sidharth R from Department of Mechanical Engineering. They got a cash prize of Rs 1500 with certificate. The third prize winners are Ms. Devananda Nair and Ms. Irine Paul from Department of Computer Science Engineering.They got a cash prize of Rs 1000 with certificate.
Screening-based competition with ten teams from multiple departments participating.
𝐈𝐍𝐓𝐑𝐀-𝐂𝐎𝐋𝐋𝐄𝐆𝐄 𝐌𝐀𝐓𝐇𝐄𝐌𝐀𝐓𝐈𝐂𝐒 𝐐𝐔𝐈𝐙 𝐂𝐎𝐌𝐏𝐄𝐓𝐈𝐓𝐈𝐎𝐍
The Department of Mathematics organized an 𝐈𝐍𝐓𝐑𝐀-𝐂𝐎𝐋𝐋𝐄𝐆𝐄 𝐌𝐀𝐓𝐇𝐄𝐌𝐀𝐓𝐈𝐂𝐒 𝐐𝐔𝐈𝐙 𝐂𝐎𝐌𝐏𝐄𝐓𝐈𝐓𝐈𝐎𝐍 𝐨𝐧 𝐍𝐨𝐯𝐞𝐦𝐛𝐞𝐫 𝟐𝐧𝐝, 𝟐𝟎𝟐𝟒, 𝐟𝐫𝐨𝐦 𝟏 𝐏𝐌 𝐭𝐨 𝟑 𝐏𝐌 𝐚𝐭 𝐓𝐚𝐠𝐨𝐫𝐞 𝐇𝐚𝐥𝐥.
Ten teams, each consisting of two members from various departments, will participate in this competition. These teams include three from Computer Science Engineering, one from Civil Engineering, two from Electronics, two from Mechanical Engineering, one from Electrical and Electronics Engineering, and one from Electronics and Communication Engineering.
A screening test was conducted on October 18th, 2024, to select the final 10 teams from a pool of 91 participants across various departments.
Aims to encourage the students to apply mathematical concepts and techniques to solve real – world problems
Intra College Mathematical Model Building Competition
The department of Mathematics has conducted Intra College Mathematical Model Building Competition on 18 December 2023. The competition aims to encourage the students to apply mathematical concepts and techniques to solve real – world problems. Through these competitions, participants learn to develop problem solving skills, enhance analytical and computational skills, promote team work and collaboration and communicate mathematical ideas .The competition was conducted for both Still and Working models. Mr. Alan Roy, Mr. Sidharth R and Mr. Abhishekh Anil from the Department of Mechanical Engineering and Mr. Beaskrishna S from the Department of Civil Engineering jointly won the first prize for Still models. Ms. Irine Paul and Ms. Devananda Nair from the Department of Computer Science Engineering won the second prize. For working models, first prize winner was Mr. Omkarnath K Ajai and second prize winner were Mr. Alan Roy, Mr. Sidharth R and Mr. Abhishekh Anil and third prize winners were Mr. Adithya S and Mr. Varun M S from the Department of Mechanical Engineering. Congratulations to all the teams for their achievements!
A 10-day programme strengthening foundational mathematical knowledge for newly joined B.Tech students.
Mathematics Orientation Course (2024-2025 Admission)
The Department of Mathematics, TIST conducts an orientation program every year for newly joined B Tech students. This year, the first batch of the program commences from June 24, 2024 to July 5, 2024 for duration of 10 days. The main aim of the program is to strengthen the foundational knowledge of mathematics, ensuring the core concepts essential for engineering disciplines. The next batches will commence on July 4, 2024 and July 10, 2024 respectively.
Statewide competition attracting multiple colleges, with prizes totaling ₹6,500.
The Department of Mathematics has conducted the All Kerala Intercollegiate Mathematics Quiz Competition on December 6, 2023.
Various colleges from all over Kerala participated in this event turning it into a dynamic platform for intellectual exchange and spirited competition. The resource person was Asst.Prof. Liju Alex from BCM College Kottayam. He is an eminent personality in this field. The program conveyed a sound understanding of the concept and strategic thinking.
Krishnand K K and Rosa Mariam Sebastian from Sacred Hearts College Thevara bagged the first prize of Rs 3000, Memento and Ever rolling trophy. Meera S and Devananda K V from St Teresa’s College Ernakulam secured the second prize of Rs 2000 and a Memento. Job Biju Cherian and Naseem K K from Rajagiri School of Engineering and Technology received the third prize of Rs 1500 and certificates.
