Course Page - IIT Madras Degree Program

Applications Open now for May 2025 Batch | Applications Close: May 20, 2025 | Exam: July 13, 2025

Foundation Level

Math for Electronics I

by Prof. Andrew Thangaraj , Prof. Ramkrishna Pasumarthy

Course ID: MA1101

Course Credits: 4

Course Type: Foundation

Pre-requisites: None

About the Instructors

Prof. Andrew Thangaraj

Professor, Electrical Engineering Department, IIT Madras

Andrew Thangaraj received his B. Tech in Electrical Engineering from the Indian Institute of Technology (IIT) Madras in 1998 and Ph.D. in Electrical Engineering from the Georgia Institute of Technology, Atlanta, USA in 2003.

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He was a post-doctoral researcher at the GTL-CNRS Telecom lab at Georgia Tech Lorraine, Metz, France from Aug 2003 till May 2004. Since 2004, he has been a faculty at the Department of Electrical Engineering, IIT Madras, where he is currently a professor.

His research interests are in the broad areas of information theory, error-control coding and information-theoretic aspects of cryptography. From Jan 2012 till Jan 2018, he served as Editor for the IEEE Transactions on Communications. From July 2018, he is an Associate Editor for the IEEE Transactions on Information Theory.

From Nov 2011, he has been one of the NPTEL coordinators for IIT Madras. At NPTEL, he has played a key role in the starting of online courses and certification. He is currently a National MOOCs coordinator for NPTEL under the SWAYAM project of the MHRD.

Prof. Andrew is also one of the coordinators for the IIT Madras Online BSc Degree Program, which was launched in June, 2020.

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Other courses by the same instructor: MA2101 - Math for Electronics II , - Humanities Elective , - Humanities Elective , - Humanities Elective , - Humanities Elective , - Humanities Elective , - Humanities Elective , - Humanities Elective and - Humanities Elective

Prof. Ramkrishna Pasumarthy

Professor, Department Of Electrical Engineering, IIT Madras

I am currently a Professor at the Control and Optimisation group , Department of Electrical Engineering, IIT Madras. I obtained my PhD in systems and control from University of Twente, The Netherlands and held post doc positions at University of Melbourne and UCLA.

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My current research interests lie in the area of Network Sytems optimization and control, Control of BrainNetworks, Data Driven methods in systems and control, Connected and autonomous vehicles.

I am a associated with the Robert Bosch Center for Data Sciences and Artificial Intelligence at IIT Madras

I am also coordinator for NPTEL

Other courses by the same instructor: - Humanities Elective , - Humanities Elective , - Humanities Elective , - Humanities Elective , - Humanities Elective , - Humanities Elective , - Humanities Elective , - Humanities Elective and - Humanities Elective

WEEK 1	Numbers, Variables, Functions and Equations Visualizing expressions and equations Functions of one variable Straight lines
WEEK 2	System of Linear Equations Solving system of two Linear equations Matrix representation Solving system of n variables and m linear equations
WEEK 3	Bonded, monotonic, convergent, and divergent sequences Limit of a sequence Computing Limits Monotone convergence theorem
WEEK 4	Limit of function and continuity Computing the limit of function and determining the continuity Limits and continuity of powers/exponentials One-sided limits Limits at infinity
WEEK 5	Derivative and its Applications Derivative of a function with examples Differentaition rules Derivative of power function Derivative of polynomial and rational functions Properties and details Higher order derivatives
WEEK 6	Mean Value Theorem Monotonic function and derivatives L'Hopital's rule: Limits and derivatives Inverse functions and derivatives Differential and Errors Taylor's Theorem
WEEK 7	Power series Geometric series Harmonic series and q-series Root and Ratio tests Convergence of power series Functions defined using power series Properties of exp(x) Properties and problems related to e^x
WEEK 8	Area under the curve and Riemann sums The definite integral Fundamental theorem of calculus and Anti-derivatives Integration by substitution Integration by parts
WEEK 9	Length of arcs Perimeter/Area of a circle, The number Pi, Improper integral Computing Volumes of solids Logarithm function Applications of Logarithm function
WEEK 10	Arithmetic with complex number Complex plane, unit circle, angles in radians Sinusoidal Function Polar Coordinates Derivative of sin and cos Complex exponential and Euler's Formula Trigonometric Identities and Roots of Unity
WEEK 11	Rational Functions Trigonometric Functions Inverse Trigonometric Functions Derivatives/integrals of Inverse trigonometric functions Hyperbolic functions Inverse of hyperbolic function, derivatives, integrals
WEEK 12	Ordinary Differential Equations Solution to first order linear ODE Examples of first order linear ODE Second order differential equation Non-homogeneous second order differential equation Examples of second order linear ODE