Engineering Mathematics 2 Syllabus

What Is the Latest SPPU Engineering Mathematics M2 Syllabus for 2025?

If you’re a first-year engineering student at Savitribai Phule Pune University (SPPU), staying updated with the latest syllabus is crucial. This article covers the official Engineering Mathematics 2 syllabus for 2025, aligned with the 2024 pattern currently followed by all FE students.

Whether you’re preparing for exams or planning your studies ahead, understanding the M2 syllabus helps you focus on the right topics. The curriculum plays a major role in engineering streams and forms the base for subjects in upcoming semesters.

Unit I: Integral Calculus

This unit introduces advanced techniques of integration. Topics include reduction formulae, beta and gamma functions, differentiation under the integral sign, and error functions. These tools are essential for solving complex integrals and are widely used in physics and engineering.

Unit II: Curve Tracing and Solid Geometry

This part deals with analyzing and visualizing curves and surfaces. You’ll study Cartesian, polar, and parametric curves along with their rectification. In solid geometry, the focus is on different coordinate systems—Cartesian, spherical polar, and cylindrical—plus standard shapes like spheres, cones, and cylinders.

Unit III: Multiple Integrals and Applications

You will learn how to compute double and triple integrals and apply them to real-world scenarios. This includes calculating area, volume, mass, center of gravity, and moment of inertia. These applications are foundational in civil, mechanical, and structural engineering.

Unit IV: First Order Ordinary Differential Equations

This section covers exact differential equations, linear equations, and methods to reduce them into solvable forms. Bernoulli’s equation is also introduced. This knowledge is important for modeling dynamic systems in fields like electronics, fluid mechanics, and thermodynamics.

Unit V: Applications of Differential Equations

Here, you’ll apply what you’ve learned to real-life problems. Topics include orthogonal trajectories, Newton’s Law of Cooling, Kirchhoff’s electrical circuit laws, rectilinear motion, simple harmonic motion, and one-dimensional heat conduction. These examples show how differential equations are used to model and solve engineering problems.

Where to Find the Official Syllabus
You can access the most up-to-date syllabus directly from Pune University’s official syllabus portal. This includes PDFs and updates as released by the Faculty of Science and Technology.
Visit: http://www.unipune.ac.in/university_files/syllabi.htm

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Conclusion
The Engineering Mathematics 2 syllabus for SPPU 2025 provides a strong foundation in calculus and differential equations. These concepts are critical not just for exams but also for applications in future engineering courses. Make sure to bookmark this page and prepare strategically using this detailed guide.

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