Chapter 5

पाठ्यक्रम अभिकल्प समिति

This section lists the curriculum design committee responsible for the creation and review of the textbook 'कलन एवं अवकल समीकरण' (Calculus and Differential Equations) for Vardhman Mahaveer Open University, Kota. It provides details about the chairperson, coordinators, members, editors, and authors involved in the development of the course material. The section emphasizes the collaborative and academic nature of the textbook's creation, ensuring its accuracy and relevance for students. The committee comprises professors and associate professors from various universities and colleges, mainly from Rajasthan, but also includes members from other institutions across India. The section also mentions the ISBN and copyright information, indicating the official and protected nature of the content.

• Lists the academic and administrative contributors to the textbook.
• Includes chairperson, coordinators, editors, authors, and production staff.
• Mentions copyright and reproduction restrictions.
• Ensures the textbook's academic credibility and standardization.
• 📌 Curriculum Design Committee: Group of experts responsible for planning and reviewing the course material.
• 📌 Editor: Person who oversees the editing and content quality.
• 📌 Author: Contributor who writes the textbook content.

इकाई सं. इकाई

This section provides the syllabus outline for the textbook 'कलन एवं अवकल समीकरण'. It lists the units (इकाई) covered in the course, along with their corresponding page numbers and English translations of the unit titles. The units include Series, Generalised Mean Value Theorem and Power Series, Derivative of Length of a Curve and Pedal Equation, Curvature, Partial Differentiation, Maxima and Minima, Asymptotes, Curve Tracing, Envelope, Area of Plane Curves (Quadrature), Length of Plane Curves (Rectification), Volumes and Surfaces of Solids of Revolution, Double Integral, Triple Integral and Dirichlet's Integral, Beta and Gamma Function, and Differential Equation. This comprehensive syllabus ensures that students cover all essential topics in calculus and differential equations.

• Lists all units covered in the textbook.
• Provides English translations for each unit.
• Indicates the page numbers for each unit.
• Covers a wide range of calculus and differential equations topics.
• 📌 Series: A sequence of terms added together.
• 📌 Partial Differentiation: Differentiation with respect to one variable while keeping others constant.
• 📌 Curvature: Measure of how sharply a curve bends.