This course introduces functions (straight lines, polynomials, exponentials and logarithms) and discrete mathematics (basics, graphs) with many examples. The students will be exposed to the idea of using abstract mathematical structures to represent concrete real life situations.
Recall the basics of sets, natural numbers, integers, rational numbers, and real numbers.
Learn to use the coordinate system, and plot straight lines.
Identify the properties and differences between linear, quadratic, polynomial, exponential, and logarithmic functions.
Find roots, maxima and minima of polynomials using algorithmic methods.
Learn to represent sets and relations between set elements as discrete graphs using nodes and edges.
Formulate some common real-life problems on graphs and solve them.
For details of standard term assessment timelines and exam structures, visit our Academics page.
Experienced Associate Professor with a demonstrated history of working in the higher education industry. Skilled in Mathematical Modeling, R, Stochastic Modeling, and Statistical Modeling. Strong education professional with a Doctor of Philosophy (Ph.D.) focused in Mathematical Statistics and Probability from Indian Institute of Technology, Bombay.
Madhavan Mukund studied at IIT Bombay (BTech) and Aarhus University (PhD). He has been a faculty member at Chennai Mathematical Institute since 1992.His main research area is formal verification. He has active research collaborations within and outside India and serves on international conference programme committees and editorial boards of journals.
He has served as President of both the Indian Association for Research in Computing Science (IARCS) (2011-2017) and the ACM India Council (2016-2018). He has been the National Coordinator of the Indian Computing Olympiad since 2002. He served as the Executive Director of the International Olympiad in Informatics from 2011-2014.
In addition to the NPTEL MOOC programme, he has been involved in organizing IARCS Instructional Courses for college teachers. He is a member of ACM India's Education Committee. He has contributed lectures on algorithms to the Massively Empowered Classroom (MEC) project of Microsoft Research and the QEEE programme of MHRD.