Math Fundamentals for Data Science

An curated and actionable list of videos to learn the fundamentals of Math for Data Science

You don't need a PhD in Math to start with Data Science. Most resources will list tens of entire courses that you have to take, before writing your first line of code.

We believe that is counter-productive: it demoralizes and shifts the main focus of your studies. To get started with Data Science you need fundamental Stats concepts, some linear algebra and calculus. It shouldn't take you more than 2 weeks (assuming a base math background from high school).

This is a list of hand-picked videos, aiming for simplicity; you should be able to start applying these concepts in practice as soon as possible.

👉 Important: This list is open to collaboration. Please see our contribution guidelines or submit an issue. Also, we're working to incorporate practical exercises for each concept. Stay tuned.

Curriculum
Contributing

Curriculum

Curated videos covering main Data Science topics.

Statistics and Probability

Introduction to Statistics and Probability

	Title	Link
📹	Why probability and statistics?	https://youtu.be/DMz_0nuk9aw
📹	Probability theory	https://youtu.be/b72IgkoI8cQ
📹	Statistics	https://youtu.be/d-wI6Y1nQ_s

Sets

	Title	Link
📹	Elements, sets, and membership	https://youtu.be/l4yGL-B0hb8
📹	Some simple sets	https://youtu.be/SARNis9dDtk
📹	Complement, Intersection, Union	https://youtu.be/TRQxbxQUILY
📹	Set operations	https://youtu.be/_DsyekLOXBw
📹	Tuples and products	https://youtu.be/UfKk6n3QS_0

Counting

	Title	Link
📹	Counting sets	https://youtu.be=bns0RBjCHCY
📹	Disjoint Union	https://youtu.be=EvClyLkWOO0
📹	General unions	https://youtu.be=L8VpswoHqRk
📹	Cartesian products	https://youtu.be=J-EkE7ez2EA
📹	Counting cartesian powers	https://youtu.be=0H4Fwfb1sIU
📹	Counting variations	https://youtu.be=k5YPgAbvvPs
📹	Counting trees	https://youtu.be=OYOzk3c45rk

Combinatorics

	Title	Link
📹	Intuition about Permutations	https://youtu.be/DROZVHObeko
📹	Permutations	https://youtu.be/ihigdKOMl-w
📹	Zero factorial or 0!	https://youtu.be/HGoZfzz6dU0
📹	Partial permutations	https://youtu.be/Ode7YZQqCv0
📹	Combinations	https://youtu.be/6XWqDezwbaw
📹	Combinations	https://youtu.be/Q5otuIBefCk
📹	Combinations vs Permutations	https://youtu.be/qaFNhwNBY3k
📹	Binomial Coefficient	https://youtu.be/RBI4BuAyHgM
📹	Properties of Binomial Coefficient	https://youtu.be/nyv20tyrf68
📹	Binomial Theorem	https://youtu.be/ajAHgo2ybdo
📹	Multinomial Coefficients	https://youtu.be/Ev0uXqS4Gm4
📹	Stars and Bars	https://youtu.be/VcIyghCav5U

Probability and Conditioning

	Title	Link
📹	Intro to Probability	https://youtu.be/l9192-Dp64w
📹	Distribution Types	https://youtu.be/y4MOMbPlE3Q
📹	Events	https://youtu.be/6ZIkOH_dDRk
📹	Reapeted Experiments	https://youtu.be/jAU0vWYMj9w
📹	Games of Chance	https://youtu.be/IHaLswH3e-Q
📹	Axiomatic Formulation	https://youtu.be/uzcjQZRnsJE
📹	Inequalities	https://youtu.be/hujUILx_lSs
📹	Conditional Probability	https://youtu.be/CCt7RL6tkb8
📹	Independence	https://youtu.be/Tx7q9IBrDlo
📹	Sequential Probability	https://youtu.be/V_NyLptowbE
📹	Total Probability	https://youtu.be/_dEhLh5rCWY
📹	Bayes' Rule	https://youtu.be/MN6ypEtX8RQ

Random Variables, Expectation, Variance

	Title	Link
📹	Random Variables	https://youtu.be/nzXEpJCXVDk
📹	Cumulative Distribution Function	https://youtu.be/atJ4dzgZizo
📹	Expectation	https://youtu.be/NnYtzd9Zk94
📹	Variable Modification	https://youtu.be/MUhMcjhQQcw
📹	Expectation of Modified Variables	https://youtu.be/0NYdAJcVNTM
📹	Variance	https://youtu.be/olORTSzQhZc
📹	Two Variables	https://youtu.be/YiXkCrDdXuc
📹	Linearity of Expectations	https://youtu.be/OI_Ae3gDclI
📹	Covariance	https://youtu.be/si77M57EUl0

Discrete Distribution Families

	Title	Link
📹	Distribution Families	https://youtu.be/V6TSzFjJTQ4
📹	What is a statistical distribution?	https://youtu.be/oI3hZJqXJuc
📹	Bernoulli Distribution	https://youtu.be/Xss1i1OFslk
📹	Binomial Distribution	https://youtu.be/J8jNoF-K8E8
📹	Binomial Distribution	https://youtu.be/YznwOJLVPcE
📹	Poisson Distribution	https://youtu.be/Y66iIg2iPeQ
📹	Poisson Practice Problems	https://youtu.be/833ciyKyKNw
📹	Geometric Distribution	https://youtu.be/WwArPIrG6qA
📹	Geometric Distribution Example	https://youtu.be/dWoIlB2yv44

Continuous Distribution Families

	Title	Link
📹	Continuous Families	https://youtu.be/hKj4dVvN66o
📹	Functions of Random Variables	https://youtu.be/EfOOhlwDfDU
📹	Uniform Distribution	https://youtu.be/srlZBDhtZPA
📹	Exponential Distribution	https://youtu.be/84vQNITzPNs
📹	Normal Distribution	https://youtu.be/rzFX5NWojp0
📹	Normal (Gaussian) Distribution	https://youtu.be/9anq5ZssVfA
📹	Maximum Likelihood For the Normal Distribution	https://youtu.be/Dn6b9fCIUpM
📹	Gaussian Probability	https://youtu.be/hre92jE2D4I
📹	Is my data Normal?	https://youtu.be/9IcaQwQkE9I&t=88s
📹	Probaiblity vs Likelihood	https://youtu.be/pYxNSUDSFH4

Inequalities and Limit Theorems

	Title	Link
📹	Markov's Inequality	https://youtu.be/qpEist5Hkvk
📹	Chebyshev's Inequality	https://youtu.be/qA_ZWkDkduw
📹	Law of Large Numbers	https://youtu.be/nD3jPt3wmF4
📹	Moment Generating Functions	https://youtu.be/0alGrCrpNAM
📹	Chernoff Bound	https://youtu.be/mOJ7uq6AuoQ
📹	Central Limit Theorem	https://youtu.be/YAlJCEDH2uY
📹	Central Limit Theorem	https://youtu.be/wVHIJrFVj_k
📹	Central Limit Theorem Proof	https://youtu.be/E1PpmaUE4jk

Statistics and Parameter Estimation

	Title	Link
📹	Statistics intuitions: Mean, median, and mode	https://youtu.be/h8EYEJ32oQ8
📹	Statistics	https://youtu.be/4TS6wTP5dhE
📹	Mean and Variance	https://youtu.be/KC0DHfUGb8w
📹	Example: Finding mean, median, and mode	https://youtu.be/k3aKKasOmIw
📹	Variance	https://youtu.be/zqnziKOYZGA
📹	Unbiased Variance Estimation	https://youtu.be/1lcOb-AdLPk
📹	Covariance	https://youtu.be/xGbpuFNR1ME
📹	Covariance Matrix	https://youtu.be/locZabK4Als
📹	Standard Deviation	https://youtu.be/JM0PLKbhSnI
📹	Standard Error	https://youtu.be/XNgt7F6FqDU
📹	Standard Deviation vs Standard Error	https://youtu.be/A82brFpdr9g
📹	Correlation	https://youtu.be/4EXNedimDMs
📹	Quantiles and Percentiles	https://youtu.be/IFKQLDmRK0Y

Regression and PCA

	Title	Link
📹	Review of Linear Algebra	https://youtu.be/k8VxY_Z1qjk
📹	Matrices Notations & Operations	https://youtu.be/zgPegwKIGkY
📹	Linear Regression	https://youtu.be/7f9LpdOGGV8
📹	Polynomial Regression	https://youtu.be/YprKjHU6T6k
📹	Regression Towards the Mean	https://youtu.be/BhQBfro4gj4
📹	Principal Components Analysis (PCA)	https://youtu.be/FgakZw6K1QQ
📹	Principal Components Analysis (PCA)	https://youtu.be/Ph1CNwAN2wg
📹	Principal Components Analysis (PCA)	https://youtu.be/Ph1CNwAN2wg
📹	PCA Graphically Explained	https://youtu.be/_UVHneBUBW0

Confidence Intervals and Hypothesis Testing

	Title	Link
📹	Confidence Intervals	https://youtu.be/TqOeMYtOc1w
📹	Confidence Interval on Variance	https://youtu.be/rXK1UGc58g0
📹	Confidence Interval on Mean	https://youtu.be/eRTpROrNZqs
📹	Confidence Interval with Unknown Sigma	https://youtu.be/iNAddaCfimw
📹	Hypothesis Testing	https://youtu.be/OFYII9L2BxM
📹	Hypothesis Testing for the Variance	https://youtu.be/qi66CelNAqI
📹	p-Values	https://youtu.be/5Z9OIYA8He8
📹	p-Values	https://youtu.be/ccg48X-HMwY
📹	p-Value calculation example	https://youtu.be/jTAGCHyYVIw
📹	Z and T Tests	https://youtu.be/SwxPLMMiqdc

Algebra

coming soon

Calculus

coming soon

Contributing

Your contributions are always welcome! Please take a look at the contribution guidelines first.

List of contributors


Matías Caputti	Cintia Rodriguez	Santiago Basulto

If you have any question about this opinionated list, do not hesitate to contact us @rmotr_com on Twitter or open an issue on GitHub.

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