Chapter 3

पाठ्यक्रम अभिकल्प समिति

This section provides details about the curriculum design committee responsible for the creation of the textbook 'कलन एवं अवकल समीकरण' (Calculus and Differential Equations) for Vardhman Mahaveer Open University, Kota. The committee includes eminent professors and coordinators from various universities and colleges across Rajasthan and India. The section lists the chairperson, coordinators, members, editors, and contributors, highlighting their academic affiliations and roles in the development of the course material. It also mentions the academic and administrative arrangements, including the production and distribution departments, and provides publication information such as ISBN and copyright notice. The section assures students of the authenticity and scholarly quality of the textbook, emphasizing its suitability for competitive examinations and its adherence to standard references.

• Lists the curriculum design committee members and their academic affiliations.
• Details the roles of chairperson, coordinators, editors, and contributors.
• Mentions academic and administrative arrangements for the textbook.
• Provides publication information including ISBN and copyright notice.
• Assures students of the textbook's scholarly quality and suitability for exams.
• 📌 Curriculum Design Committee: Group of experts responsible for planning and creating the course material.
• 📌 Coordinator: Person who organizes and manages the development of the curriculum.
• 📌 Editor: Person responsible for reviewing and finalizing the content.

इकाई सं. इकाई

This section presents the unit-wise breakdown of the textbook 'कलन एवं अवकल समीकरण'. It lists all the units included in the course, along with their page numbers and English translations of their titles. The units cover a wide range of topics in calculus and differential equations, such as 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 section helps students understand the scope of the textbook and plan their study accordingly.

• Lists all units in the textbook with page numbers.
• Provides English translations for each unit title.
• Covers topics from series to advanced calculus and differential equations.
• Helps students plan their study and navigate the textbook.
• 📌 Series: A sequence of numbers added together.
• 📌 Generalised Mean Value Theorem: An extension of the mean value theorem in calculus.
• 📌 Pedal Equation: An equation relating the radius vector and the perpendicular from the origin to the tangent of a curve.