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Mathematics I

Learn the Fundamentals of Mathematics

course

IIT Bombay and NPTEL

About the Course

Mathematics I is a comprehensive course designed to provide students with a solid foundation in various mathematical concepts and techniques that are essential for engineering and scientific disciplines. This course covers a wide range of topics, including real numbers, functions, sequences, limits, continuity, differentiation, integration, infinite series, multivariable calculus, vector analysis, and theorems of integral calculus. By the end of the course, you'll get a deep understanding of fundamental concepts of mathematics.

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1.What You Will Learn?
2.Who Should Go For It?
3.Points to Note
4.Summary

The course offers you a comprehensive understanding of mathematics. Throughout this course, students will gain an in-depth understanding of the following topics:

Real numbers
Limits and continuity of functions
Local and global maximum/minimum values
Linear and quadratic approximations, Newton's method, and Picard's method.
Fundamental theorem of calculus, and approximation methods.
Applications of integration
Arc length, area of surfaces of revolution, and volumes of solids of revolution.
Infinite series, absolute and conditional convergence
Scalar fields, limits, and continuity in multivariable calculus.
Partial derivatives, chain rules, implicit differentiation, and directional derivatives.
Total differentials, tangent planes, and normals.
Maxima, minima, saddle points, and constrained optimization problems.

This course is essential for students pursuing degrees in engineering, physics, mathematics, or any other field that requires a strong foundation in mathematical concepts and techniques. It is particularly beneficial for:

Undergraduate students in engineering or science programmes.
Graduate students
Researchers and professionals
Individuals with a strong interest in mathematics and its applications.
The course is designed and delivered by IIT Bombay, Prof. Inder K Rana
It ensured the high-quality content and a rigorous learning experience.
The course is offered free of cost, making it accessible to a wide range of learners.
Quizzes and assignments are integrated throughout the course to reinforce understanding and assess progress.

Summary

Field of Study:Learn the Fundamentals of Mathematics
Type:Free Course
Duration:12 weeks
Mode of Learning:Online
Average Salary Offered:The average salary offered in this field ranges from ₹ 3.30 LPA to ₹ 9.50 LPA depending upon your skills, experience, and level of knowledge.
Employment Roles:
  • Data Analyst
  • Financial Analyst
  • Operations Research Analyst
  • Software Engineer
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