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ESC113 - Engineering Mathematics II (SPPU)
Welcome to the ESC113 - Engineering Mathematics II video series, a comprehensive learning resource thoughtfully crafted to meet the academic needs of First Year Engineering students of Savitribai Phule Pune University (SPPU), Pune. This playlist is specifically designed to make mathematics accessible and enjoyable for learners from all backgrounds.
Mathematics is often regarded as the foundation of Engineering, and this series aims to strengthen that foundation by presenting complex topics in a simple, efficient and engaging manner. Each video is aligned with National Education Plan 2020(NEP-2020) the 2024 syllabus to ensure that students gain not only conceptual clarity but also the problem-solving skills required to excel in examinations and real-world engineering challenges.
Whether you're encountering these topics for the first time or looking to deepen your understanding, this playlist offers a structured approach that emphasizes clarity, application, and mastery. With its concise and focused explanations, real-world examples, and exam-oriented content, this series is designed to instill confidence in learners and equip them with the tools needed to tackle advanced mathematical concepts effortlessly.
Embark on this journey with us to unlock the power of mathematics and pave the way for academic and professional success!
Key Features of the Playlist:
1. Short and Focused Videos
o Each video is concise, lasting up to 20 minutes, ensuring maximum clarity without overwhelming you.
2. Step-by-Step Problem Solving
o Includes detailed solutions to previous years’ questions, helping you understand exam patterns and scoring strategies.
o Definitions and formulas are thoroughly discussed and applied during problem-solving.
3. Simple and Accessible Language
o Explanations are delivered in very simple English, ensuring every student can follow along effortlessly.
4. Interactive Assessments
o After completing each chapter, test your understanding with MCQ quizzes, designed to reinforce your learning and prepare you for exams.
What’s Covered in This Playlist?
1. Unit-I-Integral Calculus: Techniques like Reduction Formulae, Beta and Gamma Functions, Differentiation Under the Integral Sign, and Error Functions.
2. Unit-II-Curve Tracing and Solid Geometry: How to trace curves (Cartesian, Polar, and Parametric) and understanding and solving problems on spheres, cones, and cylinders in solid geometry.
3. Unit-III-Multiple Integrals and Applications: Comprehensive explanation of double and triple integrals and applications in finding areas, volumes, centres of gravity, and moments of inertia.
4. Unit-IV-First Order Ordinary Differential Equations: Solving exact and reducible differential equations, linear forms, and Bernoulli’s equations with practical examples.
5. Unit-V-Applications of Differential Equations: Real-life scenarios such as Newton’s Law of Cooling, Electrical Circuits, Rectilinear Motion, and Heat Conduction.
Why Choose This Playlist?
• Aligned with SPPU syllabus for first-year engineering students.
• Focused on exam success with previous years’ questions and practical applications.
• Easy-to-follow content delivered in small, manageable segments.
• Interactive MCQ tests to ensure a strong grasp of concepts after each chapter.
Who Can Benefit?
• Students preparing for engineering exams under the SPPU framework.
• Learners who want a simple, accessible approach to mastering mathematics.
• Anyone looking to build a strong foundation in advanced mathematical techniques.