Real Analysis is a branch of mathematical analysis dealing with the real numbers and real-valued functions of a real variable.
A connected fuzzy graph G (V,σ,µ) is said to be a perfect geodesic fuzzy graph if every node of G lies in any one of the geodesic basis of G. In other words, G is a perfect geodesic fuzzy graph if its pseudo geodesic number gn(G) = 0
A course on Measure theory given by Prof. E K Narayanan from Indian Institute of Science (IISc) Bangalore at Department of Math SS College Areekode. Full version is available in E-resources of the department.
A course on Real Analysis given by Prof. Ratikanta Panda from University of Delhi at Department of Math SS College Areekode. Full version is available in E-resources of the department.
A course on Linear Algebra given by Prof. Prof. Vijayarajan from Kerala School of Mathematics at Department of Math SS College Areekode. Full version is available in E-resources of the department.
Prof. A J Parameswaran from TIFR Mumbai is inaugurating the National Workshop on Measure Theory, Complex Analysis and Fourier Analysis
A course on Fourier Analysis given by Prof. S Thangavelu from Indian Institute of Science (IISc) Bangalore at Department of Math SS College Areekode. Full version is available in E-resources of the department.
A course on Fourier Analysis given by Prof. K Parthasarathy from Ramanujan Institute Chennai at Department of Math SS College Areekode. Full version is available in E-resources of the department.
This Lecture is an initiation to help the mathematics students and to equip them to the second semester core course of University of Calicut (2020-21). In this lecture we will discuss the basic notion of function with some generalities.
This lecture series is an initiation to help the mathematics students and to equip them to the second semester Core course of University of Calicut (2020-21). in this lecture we discuss arithmatic operations of real valued functions of a real variable. composition of functions are also explained with examples.
This Lecture series is an initiation to help the Mathematics students and to equip them to the second semester Core course of University of Calicut (2020-21). In this lecture we discuss arithmatic operations of real valued functions of a real variable. Composition of functions are also explained with examples.
This lecture series is an intiation to help the Mathematics students and to equip them to the Second Semester Core course of University of Calicut (2020 - 21). In this lecture we would like to discuss the graph of a real valued function of a real variable. We will consider some important examples and also the nature of an even and odd function.
This Lecture series is an initiation to help the Mathematics students and to equip them to the Second Semester Core course of University of Calicut (2020-21). We would like to discuss the Graph of a real valued function of a real variable under the translations, stretching, compression and reflection. We will go through some examples.
This lecture series on topology is an initiation to help second semester MSc Mathematics students of University of Calicut and to help them to do the course on topology
This Lecture series on Topology is an initiation to help 2nd Semester MSc Math students of Calicut University and to help them to do the Course on TOPOLOGY. We discuss the Transition from metric spaces to Topology. Some examples and collection of topologies are discussed.
This Lecture series is an initiation to help the math students and to equip them to the Second Semester Core course of University of Calicut (2020-21). In this Lecture we would like to discuss the Graph of a real valued function of a real variable which is defined Piecewise.We will give some examples .
This Lecture series is an initiation to help the math students and to equip them to the Second Semester Core course of University of Calicut (2020-21). In this Lecture, we will discuss the notion of limits in an intuitive way and look at some examples.
This Lecture series on Topology is an initiation to help 2nd Semester MSc Math students of Calicut University and to help them to do the Course on TOPOLOGY. We discuss some topologies on Real numbers and also introduce the notion of a base for a Topology.
This Lecture series is an initiation to help the math students and to equip them to do the Fifth Semester Core course of University of Calicut (2020-21). In this Lecture, we would give an invitation to Real analysis
This Lecture series is an initiation to help the math students and to equip them to do the Second Semester Core course of University of Calicut (2020-21). In this lecture , we will give some standard examples and try to explore limits from their Graph
This Lecture series on Topology is an initiation to help 2nd Semester MSc Math students of Calicut University and to help them to do the Course on TOPOLOGY. We discuss Base, Sub base and Product topology.
This Lecture series is an initiation to help the math students and to equip them to do the Second Semester Core course of University of Calicut (2020-21). In this lecture , we will discuss some techniques to evaluate the limits
This Lecture series is an initiation to help the math students and to equip them to do the Fifth Semester Core course of University of Calicut (2020-21). In this Lecture, we would give an invitation to Real analysis
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This Lecture series on Topology is an initiation to help 2nd Semester MSc Math students of Calicut University and to help them to do the Course on TOPOLOGY. We discuss the notion subspaces and hereditary properties
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This Lecture series is an initiation to help the math students and to equip them to do the Second Semester Core course of University of Calicut (2020-21). In this lecture , we will discuss more evaluation techniques for limits
This Lecture series is an initiation to help the math students and to equip them to do the Fifth Semester Core course of University of Calicut (2020-21). In this Lecture, we discuss the well ordering property of Natural numbers and the Principle of Mathematical induction.
This Lecture series on Topology is an initiation to help 2nd Semester MSc Math students of Calicut University and to help them to do the Course on TOPOLOGY. In this lecture we will view Topology from the notion of closed sets and closure. Also discuss the density.
This Lecture series is an initiation to help the math students and to equip them to do the Second Semester Core course of University of Calicut (2020-21). In this lecture , we will discuss squeeze theorem which has fundamental importance.
This Lecture series is an initiation to help the math students and to equip them to do the Second Semester Core course of University of Calicut (2020-21). We will discuss continuity on close bounded intervals and the intermediate value theorem. Moreover ,we will revisit the notion of tangents as well as the rate of change.
This Lecture series is an initiation to help the math students and to equip them to do the Fifth Semester Core course of University of Calicut (2020-21). In this lecture, we will discuss consequences of triangle inequality with applications. Also we will define the notion of Boundedness of subsets in R.
This Lecture series on Topology is an initiation to help 2nd Semester MSc Math students of Calicut University and to help them to do the Course on TOPOLOGY. In this lecture we will continue our discussion on continuous functions with natural examples. Also we will look at the important class of projection maps.
This Lecture series is an initiation to help the math students and to equip them to do the Second Semester Core course of University of Calicut (2020-21). We will introduce the notion of Differentiation and also discuss how it is related with continuity. Examples are discussed to understand the notion.
This Lecture series on Topology is an initiation to help 2nd Semester MSc Math students of Calicut University and to help them to do the Course on TOPOLOGY. Here we will discuss about open and closed maps . Also the behaviour of Projection maps. We will conclude this session by introducing the Homeomorphism- which gives the equivalence of topological objects. Extension and lifting maps are also introduced.
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This Lecture series is an initiation to help the math students and to equip them to do the Fifth Semester Core course of University of Calicut (2020-21). Here we discuss the completeness property of the ordered field R. Also discussed supremum and infimum of bounded sets with examples.
This Lecture series is an initiation to help the math students and to equip them to do the Second Semester Core course of University of Calicut (2020-21). In this lecture we discuss some applications of the derivatives in mechanics and Economics.
This Lecture series on Topology is an initiation to help 2nd Semester MSc Math students of Calicut University and to help them to do the Course on TOPOLOGY. In this lecture we would like to discuss how to make functions continuous by topologizing domain or codomain. Weak topology and strong topology have introduced.
This Lecture series is an initiation to help the math students and to equip them to do the Fifth Semester Core course of University of Calicut (2020-21). In this lecture we will look at some application of completeness property of the Real number system and discuss the Archimedean property which plays an important role in Analysis.
This Lecture series is an initiation to help the math students and to equip them to do the Second Semester Core course of University of Calicut (2020-21). We would like to discuss the notion of Differentials and how effectively one can put application to approximations.We conclude the discussion by Linear approximations.
This Lecture series on Topology is an initiation to help 2nd Semester MSc Math students of Calicut University and to help them to do the Course on TOPOLOGY. To begin with, we will discuss strong topology and specifically the quotient space. We conclude the lecture by characterising quotient spaces intrinsically and getting identification spaces. This allows us to enter into the world of algebraic topology.
This Lecture series is an initiation to help the math students and to equip them to do the Second Semester Core course of University of Calicut (2020-21). We will discuss the extrema of functions using differential calculus.Both local and global concepts are going to be look eds and Fermat's theorem which help us to understand the possibilities of extrema.
This Lecture series is an initiation to help the math students and to equip them to do the Second Semester Core course of University of Calicut (2020-21). Here we will continue the consequences of Fermat's theorem. Rolle's theorem and Mean value theorem are discussed in detail.