Free online courseEngineering Mathematics

Course Description

The "Engineering Mathematics" course is a comprehensive and in-depth educational experience that spans 25 hours and 19 minutes. Designed for professionals seeking advanced understanding in the field, this course falls under the professional courses category, specifically within the subcategory of Engineering and Mechanics. Despite not having any reviews yet, its structured curriculum promises to deliver substantial knowledge and skills pertinent to GATE 2025 aspirants and beyond.

The course covers a wide range of topics necessary for mastering engineering mathematics. Starting with Single Variable Calculus, it delves into the foundational elements of calculus that are essential across all engineering branches. This initial segment sets the stage for a deeper understanding of more complex mathematical concepts used in engineering.

Subsequent lessons introduce the Fundamentals Theorems of Integration, elucidating critical ideas that are fundamental to solving a variety of engineering problems. This is followed by Properties of Definite Integrals, which solidifies the learner's grasp on how integrals are used within engineering contexts.

Applications of Definite Integrals are explored in two distinct parts, offering practical use cases and intricate details on how these mathematical principles can be applied to solve real-world engineering problems. This practical application viewpoint is crucial for learners to translate theoretical knowledge into practical skills.

The curriculum then moves into more advanced topics such as Limits, Continuity, and Partial Derivatives. These subjects are vital for understanding the behavior of engineering systems and functions, particularly when analyzing changes and interactions within those systems.

The inclusion of Euler's Theorem and Taylor Series in two variables provides students with advanced mathematical tools necessary for solving complex engineering problems. Learning about Maxima and Minima, both in constrained and unconstrained environments, equips students with optimization techniques that are indispensable in many engineering fields.

Multiple Integrals are covered extensively in three parts, ensuring thorough comprehension of this critical mathematical concept. These lessons provide learners with the skills to solve integrals in multiple dimensions, a common requirement in various branches of engineering.

The course also encompasses Differential Equations, starting from the basics of Order, Degree, and Formation of ODEs, and progressing through methods for solving first-order equations, exact equations, integrating factors, and linear equations. Higher-order differential equations are also discussed, along with particular integrals, Wronskian, and Euler-Cauchy Equations. These topics are vital in modeling and solving complex problems in engineering contexts.

In summary, the "Engineering Mathematics" course is a robust and methodically structured program aimed at engineering professionals and students preparing for GATE 2025. With its extensive curriculum covering fundamental and advanced topics, it equips learners with the theoretical knowledge and practical skills needed to excel in their engineering careers.