21AI31 Dayananda Sagar University • CSE — Artificial Intelligence & Machine Learning (Semester 3)

Discrete Mathematics for AI

💡 DSU Exam Strategy & Guidance

Propositional Logic, Predicate Calculus, Graph Theory (Trees, Eulerian/Hamiltonian graphs), Recurrence Relations, and Combinatorics.

High-Yield Passing Strategy: Practice truth table proofs and solving second-order linear homogeneous recurrence relations.
Most Repeated Question Topics:
Propositional Logic Equivalence ProofsGenerating Functions for RecurrencesEulerian & Hamiltonian Graph ConditionsBayes Theorem & Conditional Probability

🔥 Most Predictable Exam Questions (1)

Guaranteed Every Year 8 Marks Module 3: Recurrence Relations

Q1. Solve the recurrence relation a_n = 5 a_(n-1) - 6 a_(n-2) with initial conditions a_0 = 1, a_1 = 4 using the Characteristic Equation Method.

Key Points: Characteristic equation: r^2 - 5r + 6 = 0 => (r - 2)(r - 3) = 0. Roots: r1=2, r2=3. General solution: a_n = c1 (2^n) + c2 (3^n). At n=0: c1 + c2 = 1. At n=1: 2 c1 + 3 c2 = 4. Solve c1 = -1, c2 = 2. Result: a_n = 2*(3^n) - 2^n.

🎓 Open Source Courses & Video Playlists (2)

MIT OpenCourseWare

MIT 6.042J: Mathematics for Computer Science

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IIT Ropar / NPTEL

NPTEL: Discrete Mathematics

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📄 Previous Year Question Papers (1)

END_SEM • 2024

End Semester Exam 2024

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