Course
Math for Electronics I
To introduce differential/integral calculus of one variable To introduce solutions for a system of linear equations To introduce complex numbers
What you'll learn
Course structure & Assessments
4 credit course, weekly online assignments, 2 in-person invigilated quizzes, 1 in-person invigilated end term exam. For details, visit Academics.
| 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 |
Prescribed Books
The following are the suggested books:
“Thomas’ Calculus (14th edition),” J. R. Hass, C. E. Heil and M. D. Weir, Pearson.
“Calculus (8th edition),” J. Stewart, CENGAGE Learning.
“Calculus, Vol 1, 2ed (An Indian Adaptation),” T. M. Apostol, J. Singh and S. Goyal, Wiley.
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.
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.