Chapter 15

पाठ्यक्रम अभिकल्प समिति

This section lists the Curriculum Design Committee for the course material. It includes the names, designations, and affiliations of the chairperson, coordinators, and members who contributed to the development of the textbook 'संख्यात्मक विश्लेषण एवं सदिश कलन' (Numerical Analysis and Vector Calculus). The committee consists of professors, associate professors, and lecturers from various universities and colleges, primarily from Rajasthan and Madhya Pradesh. Their collective expertise ensures the academic quality and relevance of the course content. The section also mentions the editorial team responsible for content editing and writing, as well as the academic and administrative arrangements for the course material production and distribution.

• Lists the chairperson, coordinators, and committee members responsible for the textbook.
• Mentions editorial and content writing team.
• Describes academic and administrative arrangements for the material.
• 📌 Curriculum Design Committee: A group of academic experts responsible for planning and overseeing the development of the course material.

इकाई-सूची (Unit List)

This section provides a detailed list of all the units (इकाई) included in the textbook 'संख्यात्मक विश्लेषण एवं सदिश कलन'. Each unit covers a specific topic within numerical analysis and vector calculus, with the corresponding page numbers. The units are as follows: 1. Finite Differences 2. Finite Differences - 2 3. Interpolation with Equal Intervals 4. Interpolation with Unequal Intervals 5. Central Difference Interpolation 6. Inverse Interpolation 7. Numerical Differentiation 8. Numerical Integration 9. Numerical Solutions of Algebraic and Transcendental Equations 10. Linear Algebraic Equations 11. Numerical Solutions of Ordinary Differential Equations 12. Vector Calculus 13. Differential Operators 14. Applications of Differential Operators 15. Line, Surface, and Volume Integrals This unit list serves as a roadmap for students, outlining the progression of topics and the logical structure of the course.

• Lists all 15 units covered in the textbook.
• Provides page numbers for each unit.
• Covers topics from finite differences to vector calculus and integrals.
• 📌 Finite Differences: A mathematical approach for approximating derivatives using discrete data points.
• 📌 Interpolation: Estimating unknown values within the range of known data points.
• 📌 Vector Calculus: A branch of mathematics concerned with differentiation and integration of vector fields.