Math

Arithmetic
- add, subtract
- multiply, divide
- exponent, logarithm
- fractions, decimals
Algebra: the study of generalizations of arithmetic operations
Geometry: the study of shape
Trigonometry: the study of the triangle
Miscellaneous Concepts
- Sets - set theory
- Classifications - real, integer, whole, rational, etc.
- Dimensions - 2D, 3D, 4D, nD
- Logic - if then else
- Functions
- Linear, non-linear, curve, curvilinear
  - Nonlinear Programming
- Number Systems - base-10, base-2, etc.
- Number theory - prime numbers
- Scale
Linear Algebra
- Matrix Math
- Matrix Multiplication
Calculus: the mathematical study of continuous change
- Differential Calculus: rates of change and slopes of curves
- Integral Calculus: accumulation of quantities and the areas under and between curves
Statistics and Probability
- Statistics
- Probability
Linear Regression
- Analysis, modeling
- Simple Linear Regression
- Multiple Linear Regression
- Multi-Variate Linear Regression
- Non-Linear Regression
- Logistic Regression
Neural Network
- NN Variations
- Deep Learning

Gil Strang's course 18.065

project-based. no tests. “that's how people learn”

2000 BC, Babylon, algebra in use
10th century BCE, in China, ancient texts describe the use of _arrays_ to solve simultaneous equations, including the concept of determinants.
6th century BCE, in Greece, Pythagoras…
4th century BCE, in India, the Hindu numerals 1-9 and 0 are in use.
3rd century BCE, in Greece, Euclid and Archimedes…
300 BC, School of Athens, classical Greece, Euclid, Geometry, shapes, circles, triangles
300 BC, Greece, diaphantus
5th century CE, in India, first use of decimal places.
600 AD, India, Brahmagupta
780-850 CE, in Bahgdad, the Hindu numerals spread to the Islamic world thanks to Persian mathematician al-Khwarizmi, who also coins the word _al-jabr_, or in english, _algebra_.
1250 CE, in Europe, the Hindu numerals and decimal system arrived in the works of al-Khwarizmi, brought back from the holy lands by the crusaders, replacing the Greek and Roman numeral systems.
1545-1850 CE, in Europe and Japan, _array_ methods arrive from China, and the word _matrix_ is coined to replace the word _array_.
1600 Decartes, 32 youngers than Galileo , Cartesian Coordinate System connection between algebra and geometry
1600 galileo
1700 Isaac Newton, Gottfried Leibnez, Euler, another guy, in Europe, invented calculus among other things.
Niels bohr, goes beyond Newton in subparticle and interplanetary physics.
Hermann Minkowski 4d space time 1908

[W,s,v] = svd((repmat(sum(x.*x,1),size(x,1),1).*x)*x');

in week 1 > parameter learning > gradient descent for linear regression

batch gradient descent

use lsode to solve multiple equations using calculus

Curriculum