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Math resources

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Calculus and Algebra Refreshers

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coursework:

-none-

supplementary:

vectors matrices https://www.khanacademy.org/math/linear-algebra https://www.khanacademy.org/math/precalculus

reference:

• Mathinsight Calculus refresher
• Mathinsight Multivar Calculus
• Mathinsight Vector Algebra
• Calculus Notes

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Discrete Math

description...

coursework

No.	Course	Institution	Effort	Status
xxx	Discrete Mathematics	MIT / OCW
xxx	Computational Probability and Inference	MIT/edx

supplementary (tutorials, etc)

xxx | Introduction to Probability - The Science of Uncertainty | MIT/edx || https://www.khanacademy.org/math/precalculus/prob-comb https://www.khanacademy.org/math/algebra/sequences https://www.khanacademy.org/math/integral-calculus/series-ic Bit Manipulation Set Notation

key texts:

• Concrete Mathmatics, Knuth
• Bona, Miklos. A Walk Through Combinatorics: An Introduction to Enumeration and Graph Theory. World Scientific Publishing Company, 2011. ISBN: 9789814335232.
• Stanley, Richard P. Enumerative Combinatorics. Vol. 1. Cambridge, UK: Cambridge University Press, 1997. ISBN: 9780521553094.
• Enumerative Combinatorics. Vol. 2. Cambridge, UK: Cambridge University Press, 2001. ISBN: 9780521789875.
• Richard Stanley. Topics in Algebraic Combinatorics
• http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-042j-mathematics-for-computer-science-fall-2010/readings/MIT6_042JF10_notes.pdf
• https://www.cs.princeton.edu/courses/archive/fall06/cos341/handouts/mathcs.pdf
• Math Background from Artificial Intelligence: A Modern Approach
• Principals of Discrete Applied Mathmatics - Lecture Notes
• more resources from MIT 6.008

see also:

xxx | Combinatorial Analysis | MIT/ocw || xxx | Algebraic Combinatorics | MIT/ocw || xxx | Geometric Combinatorics | MIT/ocw ||

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unsortted

http://atlv.org/education/geometry/

Math Refresh

concepts

• Discrete Math
  • proofs
  • Induction
  • Strong induction
  • Number theory
  • Graph theory and coloring
  • Matching problems
  • Graph theory II: minimum spanning trees
  • Communication networks
  • Graph theory III
  • Relations, partial orders, and scheduling
  • Sums and asymptotics
  • Divide and conquer recurrences
  • Linear recurrences
  • Counting

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  • Probability introduction
  • Conditional probability
  • Independence
  • Random variables
  • Expectation
  • Large deviations
  • Random walks
• Discrete Probability
  • discrete probability
  • random variables and events
    • Simpson’s paradox
    • Monty Hall
    • boy or girl paradox
  • Inference, and structure in distributions
    • The product rule
• Inference in Graphical Models
  • Efficiency in Computer Programs
  • Graphical Models
  • Inference in Graphical Models - Marginalization
  • Marginalization in Hidden Markov Models
  • Robot Localization
  • Inference with Graphical Models
  • MAP Estimation in Hidden Markov Models
• Learning Probabilistic Models
  • Introduction to Learning Probabilistic Models
  • Parameter Learning
    • Maximum Likelihood and MAP Estimation
    • Parameter Learning - Naive Bayes Classification
  • Structure Learning
    • Trees