https://github.com/s-emanuilov/math-concepts
Math Concepts for Developers and base for machine learning algorithms
https://github.com/s-emanuilov/math-concepts
Last synced: 2 days ago
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Math Concepts for Developers and base for machine learning algorithms
- Host: GitHub
- URL: https://github.com/s-emanuilov/math-concepts
- Owner: s-emanuilov
- Created: 2019-06-23T13:35:23.000Z (almost 6 years ago)
- Default Branch: master
- Last Pushed: 2022-08-23T17:43:27.000Z (almost 3 years ago)
- Last Synced: 2024-12-20T11:15:55.312Z (6 months ago)
- Language: Jupyter Notebook
- Size: 4.88 MB
- Stars: 3
- Watchers: 1
- Forks: 1
- Open Issues: 5
-
Metadata Files:
- Readme: README.md
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README
# Math Concepts
## for Developers and base for machine learning algorithms
**Links:**
[Khan Academy](https://bg.khanacademy.org/math) - online academy with videos
[WolframAlpha](https://www.wolframalpha.com/) - calculations online
[statistika.bg](https://statistika.bg/) - statistics basic concepts with videos
[btu.bg](https://www.btu.bg/statexcel/) - statistics basic concepts
[matematika.bg](https://www.matematika.bg/) - basic concepts with examples
**More:**
[YouTube channel - 3Blue1Brown](https://www.youtube.com/channel/UCYO_jab_esuFRV4b17AJtAw)
[Interesting Jupyter Notebooks](https://github.com/jupyter/jupyter/wiki/A-gallery-of-interesting-Jupyter-Notebooks)
[](https://mybinder.org/v2/gh/simeonemanuilov/math-concepts/master)
## [High School Maths](/high-scool-maths)
- scientific method introduction;
- solving linear equations and systems (the “slow” way);
- trigonometry. Right triangle, unit circle, functions and graphs, identities;
- high-School geometry, intro to computational geometry.
=> [Basic concepts](/high-scool-maths/high-scool-math-concepts.ipynb)
=> [Exercise](/high-scool-maths/high-scool-math-exercise.ipynb)
## [Basic Algebra](/basic-algebra)
- functions (in maths and programming);
- polynomials – idea, representation, operations;
- complex numbers, geometric intuition;
- euler's formula;
- fundamental theorem of algebra.
=> [Basic concepts](/basic-algebra/basic-algebra-concepts.ipynb)
=> [Exercise](/basic-algebra/basic-algebra-exercise.ipynb)
## [Linear Algebra](/linear-algebra)
- matrices. Operations with matrices;
- vectors and vector spaces. Basis, change of basis;
- inverse matrix;
- determinant, oriented area and volume.
=> [Basic concepts](/linear-algebra/linear-algebra-concepts.ipynb)
=> [Exercise](/linear-algebra/linear-algebra-exercise.ipynb)
## [Calculus](/calculus)
- limits;
- derivatives – intuition, slope of a function at a point;
- table derivatives;
- rules for calculating derivatives;
- higher-order derivatives;
- riemann sums and integrals. Intuition, oriented area;
- fundamental theorem of calculus;
- extension of calculus to many dimensions – intuition.
=> [Basic concepts](/calculus/calculus-concepts.ipynb)
=> [Exercise](/calculus/calculus-exercise.ipynb)
## [Probability and combinatorics](/probability-combinatorics)
- random variables;
- probability. Definitions: frequency, chance of happening next time;
- events and algebra of events;
- combinatoric rules;
- probability mass function, probability density function, cumulative distribution function;
- central limit theorem.
=> [Basic concepts]()
=> [Exercise](/probability-combinatorics/probability-combinatorics.ipynb)
## [Statistics](/statistics)
- definition. Descriptive and inferential statistics;
- sample and population. Sampling rules;
- moments of distributions;
- covariance and correlation;
- anscombe's quartet;
- simpson's paradox.
=> [Basic concepts](/statistics/statistic-concepts.ipynb)
=> [Exercise](/statistics/statistic-exercise.ipynb)
## [Hypothesis Testing](/statistics)
- confidence intervals, confidence level, alpha parameter;
- null and alternate hypothesis
- z-test, t-test, chi-squared;
- ANOVA;
- p-value;
- p-value misconceptions.
=> [Basic concepts](/hypothesis-testing/hypothesis-testing-concepts.ipynb)
=> [Exercise](/hypothesis-testing/hypothesis-testing-exercise.ipynb)
*online viewer of Jupyter Notebooks: https://gke.mybinder.org*