Chapter 4

पाठ्यक्रम अभिकल्प समिति

This section lists the curriculum design committee responsible for the creation and review of the textbook 'संख्यात्मक विश्लेषण एवं सदिश कलन' (Numerical Analysis and Vector Calculus) for Vardhman Mahaveer Open University, Kota. It includes the names, designations, and affiliations of the chairperson, coordinators, members, editors, and administrative staff involved in the development of the course material. The committee comprises experienced professors and lecturers from various universities and colleges in Rajasthan and Madhya Pradesh, ensuring the academic rigor and quality of the textbook. The section also mentions the ISBN of the book and copyright information, stating that reproduction of any part of the material requires written permission from the university.

• Lists the curriculum design committee members and their affiliations.
• Includes editors and contributors to the textbook.
• Mentions copyright and reproduction restrictions.
• Provides ISBN and publication details.
• 📌 Curriculum Design Committee: Group responsible for planning and reviewing the course material.
• 📌 ISBN: International Standard Book Number for the textbook.
• 📌 Copyright: Legal rights regarding reproduction of the material.

इकाई की रूप रेखा

This section provides the outline of Unit 1: 'परिमित अन्तर' (Finite Differences). It lists all the subtopics covered in the unit, including objectives, introduction, forward and backward difference operators, their properties, difference tables, fundamental theorem of difference calculus, shift operator, differential operator, relationships among operators, finding unknown terms in sequences, summary, glossary, answers to self-assessment questions, and exercises. The outline serves as a roadmap for students, indicating what they will learn and the logical progression of concepts.

• Unit 1 covers finite differences and related operators.
• Includes objectives, introduction, and properties of difference operators.
• Covers difference tables, fundamental theorem, and shift operator.
• Provides summary, glossary, self-assessment answers, and exercises.
• 📌 Finite Differences: Numerical methods for estimating function values.
• 📌 Forward Difference Operator: Operator used to compute differences in sequences.
• 📌 Backward Difference Operator: Operator for computing differences in reverse order.