Chapter 13

पाठ्यक्रम अभिकल्प समिति

This section lists the curriculum design committee responsible for the creation and review of the textbook 'Numerical Analysis and Vector Calculus' for Vardhman Mahaveer Open University, Kota. It includes the names and designations of the chairperson, conveners, coordinators, and contributing members from various universities and colleges. The section also mentions the editorial team and the academic and administrative arrangements for the production and distribution of the course material. The ISBN and reproduction rights are also stated, emphasizing that reproduction of any part of the material without written permission from the university is not allowed.

• Lists the curriculum committee members and their affiliations.
• Mentions the editorial and production team.
• States reproduction rights and ISBN information.
• 📌 Curriculum Design Committee: The group responsible for creating and reviewing the course material.
• 📌 Editor: The person responsible for editing the textbook content.
• 📌 ISBN: International Standard Book Number, a unique identifier for books.

इकाई संरचना (Unit Structure)

This section provides the structure of the textbook, listing all the units (इकाई) covered in 'Numerical Analysis and Vector Calculus.' Each unit is named and its page range is specified. The units cover a wide range of topics from finite differences, interpolation (using equal and unequal intervals), central differences, inverse interpolation, numerical differentiation and integration, solutions to algebraic and transcendental equations, linear equations, numerical solutions of ordinary differential equations, vector calculus, differential operators, applications of differential operators, and line, surface, and volume integrals. This structure helps students navigate the textbook and understand the sequence of topics.

• Lists all 15 units of the textbook with their page numbers.
• Covers topics from finite differences to vector calculus and integrals.
• Helps students understand the progression of mathematical concepts.
• 📌 Finite Differences: Differences calculated at discrete intervals.
• 📌 Interpolation: Estimating values within the range of a discrete set of known data points.
• 📌 Numerical Differentiation: Approximating derivatives using numerical methods.