Lecture notes and oral exam topics in mathematics, AI, and finance.
Complete method sheet covering: standard antiderivatives, integration by parts, substitutions, Bioche's rules, partial fraction decomposition, improper integrals, and advanced techniques such as differentiation under the integral sign and the Gamma and Beta functions.
Assessment criteria used during oral examinations: presentation, rigor of reasoning, mastery of the course material, and quality of answers to questions.
Arithmetico-geometric sums ; Binomial coefficients, Vandermonde's identity ; Lagrange's identity and the Cauchy–Schwarz inequality
Course notes on fundamental electrical quantities: charge, current, voltage, resistance, power, and energy.