CO1 Employ fundamental concepts of the number system, including HCF, LCM, simplifications, squares, and square roots, to solve real-life problems.
Apply mathematical concepts such as ratio, proportion, percentage, profit, loss, and age, to solve complex problems in both theoretical and practical contexts.
- Teacher: sreelakshmi kanil
Discuss the geometry of the functions and their properties.
Analyze the conditions for a function to have an inverse.
Explain the process of differentiation
Identify increasing, decreasing and concave functions using their derivatives
- Teacher: Neenu Susan Paul
This course serves as an essential bridge to advanced mathematical concepts,
focusing on an in-depth exploration of relations, equivalence relations, partial
ordering, exploring the properties of real numbers progressing to the
completeness of R. After the successful completion of the course the student should be able to:
1 Explain definitions, properties, and applications of
equivalence relations and partial ordering.
2 Illustrate how Hasse diagrams visually encapsulate
the structural properties of partially ordered sets.
3 Explain the algebraic and order properties of Real
numbers
4 Develop logical arguments and proofs related to the
completeness of the real numbers.
- Teacher: Elizabeth Reshma M T
This course introduces the basic concepts of Statistics. It outlines the techniques to expose the students to many Statistical ideas and rules that underline statistical reasoning. It also helps in developing the knowledge of sampling techniques such as Simple Random Sampling, Stratified Sampling, Systematic Sampling and measures of central tendency and dispersion. Also, Excel built in functions are used to solve numerical problems associated with the topics discussed.
- Teacher: Parvathy PS
CO1: Apply search, sorting, greedy algorithms, and graph representations to solve problems while implementing DFS, BFS, and minimum spanning tree algorithms. (A) CO2: Analyze path-related properties and network flow principles to evaluate graph connectivity.(An) CO3: Apply domination concepts to solve graph-based optimization problems. (A) CO4: Analyze spectral properties of graphs using characteristic polynomials, adjacency matrix determinants, and graph energy. (An)
- Teacher: anna sheethalvs
Course outcomes
- Teacher: maria baby
Course Outcomes:
CO1: Explain the basic concepts of set theory and Integrals of functions. (Ap)
CO2: Examine the concepts of random variables and probability spaces in the context of
measure theory. (Ap)
CO3: Analyze the properties of random variables using key inequalities in measure theory and
different modes of convergence. (An)
CO4: Apply the weak and strong laws of large numbers, along with the central limit theorem
in probability theory. (Ap)
- Teacher: krishnendu pr
CO1: Analyze the concepts of functions of bounded variation and rectifiable curves, and
examine their properties, including total variation and arc length. (An)
CO2: Apply the Riemann-Stieltjes integral to evaluate integrals, explore its properties, and
examine its relationship with differentiation and vector-valued functions. (A)
CO3: Analyze the uniform convergence of sequences and series of functions and its impact on
continuity, integration, and differentiation. (An)
CO4: Apply equicontinuous families of functions and utilize the Stone-Weierstrass theorem
for function approximation, along with understanding power series, exponential, logarithmic
and trigonometric series. (A)
- Teacher: Dhanalakshmi O M