Advanced Counting: ExamplesCovers advanced counting techniques, including linear recurrence relations and generating functions, with examples from the Fibonacci sequence and differences between dice and poker cards.
Convergence of SeriesExplores the convergence criteria of numerical series, including absolute convergence and alternating series.
Convergence of SeriesExplores point of accumulation, Bolzano-Weierstrass theorem, and series convergence, including harmonic series examples.
Linear Recurrence RelationsExplores linear recurrence relations, including examples like the Fibonacci numbers and the proof of related theorems.
Cauchy-Hadamard TheoremExplores the Cauchy-Hadamard theorem on convergence radius of power series and real analytical solutions.