Chapter 15

पाठ्यक्रम अभिकल्प समिति

This section provides information about the curriculum design committee for the textbook 'कलन एवं अवकल समीकरण' (Calculus and Differential Equations), published by Vardhman Mahaveer Open University, Kota. It lists the names, designations, and affiliations of the academic contributors, editors, and coordinators involved in the creation of the textbook. The committee includes professors, associate professors, and lecturers from various universities and colleges in Rajasthan and other states. The section also mentions the academic and administrative arrangements for the production and distribution of the course material, along with copyright and publication details. This information establishes the credibility and authority of the textbook, ensuring that the content is curated by subject experts.

• Lists the academic and editorial team responsible for the textbook.
• Mentions affiliations with reputed universities and colleges.
• Provides publication and copyright information.
• Highlights the collaborative effort in textbook creation.
• 📌 Curriculum Design Committee: A group of subject experts responsible for planning and reviewing the syllabus and content of the textbook.
• 📌 Editor: The person responsible for compiling, reviewing, and finalizing the textbook content.
• 📌 Coordinator: The academic in charge of synchronizing contributions from various authors and ensuring syllabus alignment.

इकाई सं. इकाई

This section presents the table of contents for the textbook 'कलन एवं अवकल समीकरण'. It lists all the units (इकाई) covered in the book, along with their respective page numbers and English translations of the topics. The table of contents provides a roadmap for the entire course, helping students locate specific topics and understand the sequence of concepts. The units cover a wide range of topics in calculus and differential equations, such as series, mean value theorems, power series, curvature, partial differentiation, maxima and minima, asymptotes, curve tracing, envelopes, area and length of plane curves, volumes and surfaces of solids of revolution, double and triple integrals, Dirichlet's integral, Beta and Gamma functions, and differential equations. This comprehensive structure ensures a logical progression from basic to advanced topics.

• Lists 16 major units covering calculus and differential equations.
• Includes both Hindi and English titles for clarity.
• Provides page numbers for easy navigation.
• Covers foundational to advanced topics in mathematics.
• 📌 Series: A sum of terms of a sequence.
• 📌 Beta and Gamma Functions: Special functions used in advanced calculus and mathematical analysis.
• 📌 Differential Equation: An equation involving derivatives of a function.