Syllabus (MATHEMATICS)
Course Type: MDC-2
Semester: 2
Course Code: BMDCMTM03T
Course Title: Vedic Mathematics
(L-P-Tu): 3-0-0
Credit: 3
Practical/Theory: Theory
Course Objective: To be done.
Learning Outcome: Course Outcomes (CO): The whole course will have the following outcomes: CO1: The objective of this course is to teach students the shortcut techniques which carries out numerical calculations in faster way. CO2: This will help Students to develop their m
Syllabus:
Vedic Mathematics [Credit: 3, 45 L]
- Addition, Subtraction, Multiplication, Division, Divisibility, Flag Method, Test of Divisibility, Mixed Operations.
- Square and Square root, Cube and Cube root, Decimal, Factorization, Highest Common Factor (HCF)
- Simple Equations, Quadratic Equations, Cubic Equations, Biquadratic Equations, Simultaneous Equations.
- Factorizations and Differential Calculus, Partial Fractions, Integration by Partial Fractions, Pythagoras Theorem, Appolonius Theorem, Analytical Geometry.
- Indian Mathematicians (Katyayana, Pingala, Aryabhatta, Varahmihira, Brahmagupta, Bhaskara I, Sridhara, Mahavira, Bhaskara II, Madhava, Radhakanta Sikdar, Srinivasa Ramanujan, P.C. Mahalanobis, C. R. Rao, Aushutosh Mukherjee, Shakuntala Devi).
Reading References
- Fundamentals & Applications of Vedic Mathematics: SCERT, Delhi; 2014.
- Shashtri, P.R. Vedic Mathematics. Meerut: Arihant Publications, 7th Ed. 2011.
- Maharaja, B.K.T. Vedic Mathematics. Delhi: Motilal Banarasidass Publishers Pvt. Lt. 1998.
- Chauthaiwale, Shriram; "Enjoy Vedic Mathematics”; Art of Living international Bengaluru, India
- S. Chauthaiwale, D. Verma and D. Deshmukh; Eminent Mathematician of Bharat.
- Singh Shivraj, Kumar Anil, Gupta Soniya, Yadav Rashmi; Vedic Ganit; Pragati Prakashan, Meerut, India,2022, First Edition.
- Vishvakarma, Kailash; Vaidik Ganit Vihangam Drishti Part 1; Shiksha Sanskriti Uthan Nyas New Delhi.
- Chauthaiwale, Shriram; Vedic Ganit Praneta Shankaracharya Pujay Shri Bharti Krishan Trithji; Shiksha Sanskriti Uthan Nyas New Delhi.
- Upadhyay B.L.; Prachin Bharatiya Ganit; Vigyan Bharti, New Delhi, India.
- Mohan Braj; History of Mathematics; Hindi Samiti Information Department U.P., India.
- Handa Nidhi; Ancient Hindu Mathematics an Introduction; Oshina Publications, Indore (MP), India, 2018, First Edition.
- Vedic Ganit Nirdeshika; Vidya Bharti Sanskriti Shiksha Sansthan, Haryana, India, 2017, Seventh Edition.
- Arya, Vedveer; Indian Contributions to Mathematics and Astronomy; Aryabhata Publications.
Basic Features
Undergraduate degree programmes of either 3 or 4-year duration, with multiple entry and exit points and re-entry options, with appropriate certifications such as:
- UG certificate after completing 1 year (2 semesters with 40 Credits + 1 Summer course of 4 credits) of study,
- UG diploma after 2 years (4 semesters with 80 Credits + 1 Summer course of 4 credits) of study,
- Bachelor’s degree after a 3-year (6 semesters with 120 credits) programme of study,
- 4-year bachelor’s degree (Honours) after eight semesters (with 170 Credits) programme of study.
- 4-year bachelor’s degree (Honours with Research) if the student completes a rigorous research project (of 12 Credits) in their major area(s) of study in the 8th semester.
Note: The eligibility condition of doing the UG degree (Honours with Research) is- minimum75% marks to be obtained in the first six semesters.
- The students can make an exit after securing UG Certificate/ UG Diploma and are allowed to re-enter the degree programme within three years and complete the degree programme within the stipulated maximum period of seven years.
