Mathematics

Applied mathematics resources @ HCMUS

  1. MTT001 - Advanced Functional Analysis
  2. MTT011 - Numerical Analysis
  3. MTT012 - Stochastic Process
  4. MTT106 - Non-linear Programming
  5. MNC - Research Methodologies
  6. MTT083 - Convex Analysis
  7. MTT130 - Numerical Programming for Applied Problems
  8. MTT47 - Statistical Modelling

Readings

Applied mathematics resources @ MIT

1/ Combinatorics

Stage 01:

CodeName courseResources (MIT opencourseware or others)
18.09Introduction to Mathematical Reasoninghttps://www.cip.ifi.lmu.de/~grinberg/t/21fin/index.html
18.100Real Analysishttps://ocw.mit.edu/courses/18-100c-real-analysis-fall-2012/
18.200Principles of Discrete Applied Mathematicshttps://ocw.mit.edu/courses/18-310-principles-of-discrete-applied-mathematics-fall-2013/
18.400Automata, Computability, and Complexityhttps://ocw.mit.edu/courses/6-045j-automata-computability-and-complexity-spring-2011/
18.600Probability and Random Variableshttps://ocw.mit.edu/courses/18-600-probability-and-random-variables-fall-2019/
18.701+18.702 or 18.700+18.703Algebra I + Algebra II Or Linear algebra + Modern algebraAlgebra I: https://ocw.mit.edu/courses/res-18-011-algebra-i-student-notes-fall-2021/pages/student-notes/ Algebra II: https://ocw.mit.edu/courses/18-702-algebra-ii-spring-2011/ Or: Linear algebra: https://ocw.mit.edu/courses/18-700-linear-algebra-fall-2013/ Modern algebra: https://ocw.mit.edu/courses/18-703-modern-algebra-spring-2013/
18.900Geometry and Topology in the Planehttps://ocw.mit.edu/courses/18-900-geometry-and-topology-in-the-plane-spring-2023/

Stage 02:

CodeName courseResources (MIT opencourseware or others)
18.211Combinatorial Analysishttps://yufeizhao.com/211/
18.212Algebraic Combinatoricshttps://ocw.mit.edu/courses/18-212-algebraic-combinatorics-spring-2019/
18.112Functions of a Complex Variablehttps://ocw.mit.edu/courses/18-112-functions-of-a-complex-variable-fall-2008/
18.404Theory of Computationhttps://ocw.mit.edu/courses/18-404j-theory-of-computation-fall-2020/
18.410Design and Analysis of Algorithmshttps://ocw.mit.edu/courses/6-046j-design-and-analysis-of-algorithms-spring-2015/
18.453Combinatorial Optimizationhttps://math.mit.edu/~goemans/18453S17/18453.html
18.721Introduction to Algebraic Geometryhttps://math.mit.edu/classes/18.721/notes/ag-jan26-2022.pdf
18.781Theory of Numbershttps://math.mit.edu/~dav/781.html
18.901Introduction to topologyhttps://math.mit.edu/~pieloch/18.901-fall-2023.html
18.950Differential Geometryhttps://web.evanchen.cc/notes/MIT-18-950.pdf

Stage 03:

CodeName courseResources (MIT opencourseware or others)
18.217Combinatorial Theoryhttps://math.mit.edu/~apost/courses/18.217/
18.218Topics in Combinatoricshttps://web.evanchen.cc/notes/MIT-18-218.pdf
18.225Graph Theory and Additive Combinatoricshttps://yufeizhao.com/gtac/
18.226Probabilistic Methods in Combinatoricshttps://yufeizhao.com/pm/
18.338Eigenvalues of random matriceshttps://github.com/mitmath/18338
18.455Advanced Combinatorial Optimizationhttps://math.mit.edu/~goemans/18455-2020SP.html
18.445Introduction to Stochastic Processeshttps://ocw.mit.edu/courses/18-445-introduction-to-stochastic-processes-spring-2015/pages/assignments/
18.705Commutative Algebrahttps://ocw.mit.edu/courses/18-705-commutative-algebra-fall-2008/
18.712Introduction to Representation Theoryhttps://ocw.mit.edu/courses/18-712-introduction-to-representation-theory-fall-2010/
18.725Algebraic Geometryhttps://ocw.mit.edu/courses/18-725-algebraic-geometry-fall-2015/
18.745Introduction to Lie Algebrashttps://math.mit.edu/classes/18.745/classnotes.html
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