Your roadmap · आपका रोडमैप
- 1
Admission & first meetingप्रवेश और पहली मुलाकातEnquire at your nearest NDSS centre, meet the teacher, fix the batch time and get your study material.
- 2
Part 1 of the syllabusपाठ्यक्रम भाग 1Unit-wise coaching with notes and doubt classes.
Unit 1: DivisibilityUnit 2: CongruencesUnit 3: Diophantine Equations and Arithmetic Functions
- 3
Part 2 of the syllabusपाठ्यक्रम भाग 2Unit-wise coaching with notes and doubt classes.
Unit 4: Two-Person Zero-Sum GamesUnit 5: Mixed Strategies
- 4
Unit tests & assignmentsयूनिट टेस्टRegular tests in the university / board pattern.
- 5
Semester 5 exam (university / board)विश्वविद्यालय / बोर्ड परीक्षाPrevious papers and full revision before the exam.
- 6
Online tests & resultऑनलाइन टेस्ट और रिज़ल्टTake the tests online; your marks and result show in your student login and at the centre.
सिलेबस · पाठ्यक्रम
1 subject · 5 chapters · 26 topics
01Unit 1: Divisibility
5 टॉपिक+
- Division algorithm
- GCD and the Euclidean algorithm
- LCM
- Primes and infinitude of primes
- Fundamental theorem of arithmetic
02Unit 2: Congruences
6 टॉपिक+
- Properties of congruences
- Linear congruences
- Chinese remainder theorem
- Fermat's little theorem
- Euler's theorem and phi function
- Wilson's theorem
03Unit 3: Diophantine Equations and Arithmetic Functions
5 टॉपिक+
- Linear Diophantine equations
- Pythagorean triples
- Number and sum of divisors
- Mobius function
- Perfect numbers
04Unit 4: Two-Person Zero-Sum Games
5 टॉपिक+
- Payoff matrix
- Maximin and minimax principle
- Saddle point and value of a game
- Pure strategies
- Fair games
05Unit 5: Mixed Strategies
5 टॉपिक+
- Games without saddle point
- Formula for 2 x 2 games
- Dominance principle
- Graphical method for 2 x n and m x 2 games
- Linear programming formulation of games
About this course
आप यह कर पाएँगे
- Use the division algorithm, Euclidean algorithm and prime factorisation
- Solve linear congruences and systems by the Chinese remainder theorem
- Apply Fermat's, Euler's and Wilson's theorems
- Solve linear Diophantine equations and use arithmetic functions tau, sigma, phi and mu
- Find saddle points and values of two-person zero-sum games
- Solve games by mixed strategies, dominance and the graphical method
यह किसके लिए है
- B.Sc Mathematics students of Semester 5 (UP State Universities, NEP 2020)
- Students preparing for end-semester theory papers of Mathematics
आपको क्या चाहिए
- Algebra of earlier semesters
- Basic matrix and probability ideas
Online tests & result
Practice and unit tests online; marks and result show in your student login and at the centre.
Student login →
सवाल
Which syllabus does this subject follow?
It follows the B.Sc Mathematics Semester 5 syllabus of the UP State Universities (NEP 2020 common minimum syllabus). Where your own university's syllabus differs, the centre follows your university syllabus.
How are students assessed at the centre?
Through unit-wise multiple-choice tests, a final test paper and doubt-clearing sessions that follow the university examination pattern.
Will this help in the semester examination?
Yes. Units are taught in the university order with solved numericals and exam-pattern questions.
