If you’re searching for a prestigious, career-boosting learning opportunity in 2025, the IIT Roorkee FREE Online Course is an unmissable chance to upskill with India’s top institute—without spending a rupee. Whether you’re a student, professional, or lifelong learner, IIT Roorkee’s e-learning offerings are designed to help you master cutting-edge subjects and gain certificates that stand out on your resume. Here’s everything you need to know about these free online courses, their benefits, eligibility, and how to enroll.
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Table of Contents
About the IIT Roorkee FREE Online Course
This course is a basic course offered to UG/PG students of Engineering/Science background. It contains Analytic Functions, applications to the problems of potential flow, Harmonic functions, Harmonic conjugates, Milne’s method, Complex integration, sequences and series, uniform convergence, power series, Hadamard’s formula for the radius of convergence, Taylor and Laurent series, zeros and poles of a function, meromorphic function, the residue at a singularity, Residue theorem,
the argument principle and Rouche’s theorem, contour integration and its applications to evaluation of a real integral, integration through a branch cut, conformal mapping, application to potential theory, review of unilateral and bilateral Z-transforms and their properties, application of calculus of residues for the inversion formula of Z- transforms and Laplace transforms, review of Fourier integrals and Fourier transforms, Finite Fourier transforms, discrete Fourier transforms and applications, basic concepts of probability,
Bayes theorem, probability networks, discrete and continuous probability distribution, joint distribution, correlation coefficient, applications to problems of reliability, queueing theory, service time for a customer in a facility and life testing, testing of hypotheses. This course has tremendous applications in diverse fields of Engineering and Sciences such as Signal processing, Potential theory, Bending of beams etc.
Why Choose an IIT Roorkee FREE Online Course?
IIT Roorkee, one of India’s most respected IITs, has a legacy of academic excellence and innovation. Through its E-Learning Centre (ELC) and collaborations with NPTEL and SWAYAM, IIT Roorkee delivers high-quality, accessible online courses in engineering, science, management, and emerging technologies. These courses are:
Absolutely free to access (with optional paid certification)
Taught by IIT Roorkee’s expert faculty
Industry-relevant and up-to-date
Flexible and self-paced for busy students and professionals
Recognized by employers and academic institutions worldwide
Course layout
Week 1: Analytic Functions, Cauchy-Riemann Equations, Harmonic Functions, Harmonic Conjugates and Milne’s Method, Applications to the problems of potential flow-I, Applications to the problems of potential flow-II
Week 2 : Complex integration, Cauchy’s theorem-I, Cauchy’s theorem-II , Cauchy’s Integral Formula for the Derivatives of an Analytic Function , Morera’s theorem, Liouville’s theorem and Fundamental Theorem of Algebra
Week 3 : Winding Number and Maximum Modulus Principle, Sequences and Series, Uniform Convergence of Series, Power Series, Taylor series
Week 4 : Laurent Series, Zeros and Singularities of an Analytic Function, Residue at a Singularity, Residue Theorem, Meromorphic Functions
Week 5 : Evaluation of real integrals using residues-I, Evaluation of real integrals using residues-II , Evaluation of real integrals using residues-III, Evaluation of real integrals using residues-IV, Evaluation of real integrals using residues-V
Week 6 : Bilinear Transformations, Cross ratio, Conformal Mapping-I, Conformal Mapping-II, Conformal mappings from half plane to disk and half plane to half plane-I
Week 7 : Conformal mappings from disk to disk and angular region to disk, Application of Conformal mapping to potential theory, Review of Z-transforms-I, Review of Z-transforms-II, Review of Z-transforms-III
Week 8 : Review of bilateral Z-transforms, Finite Fourier transforms, Fourier integrals and Fourier transforms, Fourier Series, Discrete Fourier transforms-I
Week 9 : Discrete Fourier transforms-II, Basic concepts of probability, Conditional probability, Bayes theorem and Probability networks, Discrete probability distribution
Week 10 : Binomial distribution, Negative binomial distribution and Poisson distribution, Continuous probability distribution, Poisson Process, Exponential distribution
Week 11 : Normal distribution , Joint distribution-I, Joint probability distribution-III, Joint probability distribution-III, Correlation and regression-I
Week 12 : Correlation and regression-II, Testing of hypotheses-I, Testing of hypotheses-II, Testing of hypotheses-III, Application to Queueing Theory and Reliablility Theory
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What Makes IIT Roorkee FREE Online Courses Unique?
Expert Faculty: Learn from professors with decades of teaching and research experience in India and abroad.
Industry-Relevant Curriculum: Courses are designed to meet current job market needs, including analytics, AI, quantum computing, and marketing.
Flexible Learning: Study at your own pace, with video lectures, assignments, and interactive forums.
Global Recognition: Certificates from IIT Roorkee and NPTEL/SWAYAM are respected by employers and universities worldwide.
No Cost Barrier: All courses are free to audit and learn. Pay only if you want a verified certificate.
Who Can Apply for IIT Roorkee FREE Online Courses?
Students: Undergraduate, postgraduate, and PhD candidates from any discipline
Working Professionals: Looking to upskill or switch careers
Educators: Seeking to update their knowledge or teach new subjects
Lifelong Learners: Anyone with a passion for learning, regardless of age or background
Most courses have no strict prerequisites, though some advanced topics (like quantum computing) may require basic subject knowledge
Why You Can’t Afford to Miss These Courses
Boost Your Resume: IIT Roorkee’s brand is highly respected by recruiters.
Stay Industry-Ready: Learn the latest skills in data analytics, AI, marketing, and quantum computing.
Network with Peers: Join a community of motivated learners and industry experts.
Zero Cost, Maximum Value: Access world-class education for free, with optional certification for career advancement.
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How to Enroll in an IIT Roorkee FREE Online Course?
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Conclusion
The IIT Roorkee FREE Online Course lineup is your chance to learn from India’s top educators, master in-demand skills, and earn a prestigious certificate—all at no cost. Whether you’re aiming for a career in data analytics, marketing, AI, or quantum computing, these courses offer the flexibility, quality, and recognition you need to succeed in 2025 and beyond. Don’t wait—explore the course catalog and enroll today!
