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Next year, I will be teaching a new course called Advanced Topics in Mathematics. The class is taken by Juniors and Seniors who have had Algebra 2 and a Functions/Statistics/Trigonometry course (some will have had Pre- Calculus too). The content will cover: 1) Topics in Discrete: networks- graphs and circuits, matrices- interpreting powers of matrices related to networks, Euler paths and circuits and Markov chains. 2) Combinatorics: Counting principles including combinations with repetitions, Permutations and Combinations, Binomial Theorem, Expanding polynomials of high degree, and Determining probabilities. 3) Statistics: Study of measures of central tendency, Measures of dispersion and skewness, Normal distributions, Sampling methods, Central limit theorem and confidence intervals, and Hypothesis testing- large and small samples. Do you have any ideas for resources, teaching methods, or activities?
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