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.
π 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
- Statistics and Probability
- Introduction to Statistics and Probability
- Sets
- Counting
- Combinatorics
- Probability and Conditioning
- Random Variables, Expectation, Variance
- Discrete Distribution Families
- Continuous Distribution Families
- Inequalities and Limit Theorems
- Statistics and Parameter Estimation
- Regression and PCA
- Confidence Intervals and Hypothesis Testing
- Algebra
- coming soon
- Calculus
- coming soon
- Statistics and Probability
- Contributing
Curated videos covering main Data Science topics.
Title | Link | |
---|---|---|
πΉ | Why probability and statistics? | https://youtu.be/DMz_0nuk9aw |
πΉ | Probability theory | https://youtu.be/b72IgkoI8cQ |
πΉ | Statistics | https://youtu.be/d-wI6Y1nQ_s |
Title | Link | |
---|---|---|
πΉ | Elements, sets, and membership | https://youtu.be/l4yGL-B0hb8 |
πΉ | Some simple sets | https://youtu.be/SARNis9dDtk |
πΉ | Complement, Intersection, Union | https://youtu.be/TRQxbxQUILY |
πΉ | Set operations | https://youtu.be/_DsyekLOXBw |
πΉ | Tuples and products | https://youtu.be/UfKk6n3QS_0 |
Title | Link | |
---|---|---|
πΉ | Counting sets | https://youtu.be=bns0RBjCHCY |
πΉ | Disjoint Union | https://youtu.be=EvClyLkWOO0 |
πΉ | General unions | https://youtu.be=L8VpswoHqRk |
πΉ | Cartesian products | https://youtu.be=J-EkE7ez2EA |
πΉ | Counting cartesian powers | https://youtu.be=0H4Fwfb1sIU |
πΉ | Counting variations | https://youtu.be=k5YPgAbvvPs |
πΉ | Counting trees | https://youtu.be=OYOzk3c45rk |
Title | Link | |
---|---|---|
πΉ | Intuition about Permutations | https://youtu.be/DROZVHObeko |
πΉ | Permutations | https://youtu.be/ihigdKOMl-w |
πΉ | Zero factorial or 0! | https://youtu.be/HGoZfzz6dU0 |
πΉ | Partial permutations | https://youtu.be/Ode7YZQqCv0 |
πΉ | Combinations | https://youtu.be/6XWqDezwbaw |
πΉ | Combinations | https://youtu.be/Q5otuIBefCk |
πΉ | Combinations vs Permutations | https://youtu.be/qaFNhwNBY3k |
πΉ | Binomial Coefficient | https://youtu.be/RBI4BuAyHgM |
πΉ | Properties of Binomial Coefficient | https://youtu.be/nyv20tyrf68 |
πΉ | Binomial Theorem | https://youtu.be/ajAHgo2ybdo |
πΉ | Multinomial Coefficients | https://youtu.be/Ev0uXqS4Gm4 |
πΉ | Stars and Bars | https://youtu.be/VcIyghCav5U |
Title | Link | |
---|---|---|
πΉ | Intro to Probability | https://youtu.be/l9192-Dp64w |
πΉ | Distribution Types | https://youtu.be/y4MOMbPlE3Q |
πΉ | Events | https://youtu.be/6ZIkOH_dDRk |
πΉ | Reapeted Experiments | https://youtu.be/jAU0vWYMj9w |
πΉ | Games of Chance | https://youtu.be/IHaLswH3e-Q |
πΉ | Axiomatic Formulation | https://youtu.be/uzcjQZRnsJE |
πΉ | Inequalities | https://youtu.be/hujUILx_lSs |
πΉ | Conditional Probability | https://youtu.be/CCt7RL6tkb8 |
πΉ | Independence | https://youtu.be/Tx7q9IBrDlo |
πΉ | Sequential Probability | https://youtu.be/V_NyLptowbE |
πΉ | Total Probability | https://youtu.be/_dEhLh5rCWY |
πΉ | Bayes' Rule | https://youtu.be/MN6ypEtX8RQ |
Title | Link | |
---|---|---|
πΉ | Random Variables | https://youtu.be/nzXEpJCXVDk |
πΉ | Cumulative Distribution Function | https://youtu.be/atJ4dzgZizo |
πΉ | Expectation | https://youtu.be/NnYtzd9Zk94 |
πΉ | Variable Modification | https://youtu.be/MUhMcjhQQcw |
πΉ | Expectation of Modified Variables | https://youtu.be/0NYdAJcVNTM |
πΉ | Variance | https://youtu.be/olORTSzQhZc |
πΉ | Two Variables | https://youtu.be/YiXkCrDdXuc |
πΉ | Linearity of Expectations | https://youtu.be/OI_Ae3gDclI |
πΉ | Covariance | https://youtu.be/si77M57EUl0 |
Title | Link | |
---|---|---|
πΉ | Distribution Families | https://youtu.be/V6TSzFjJTQ4 |
πΉ | What is a statistical distribution? | https://youtu.be/oI3hZJqXJuc |
πΉ | Bernoulli Distribution | https://youtu.be/Xss1i1OFslk |
πΉ | Binomial Distribution | https://youtu.be/J8jNoF-K8E8 |
πΉ | Binomial Distribution | https://youtu.be/YznwOJLVPcE |
πΉ | Poisson Distribution | https://youtu.be/Y66iIg2iPeQ |
πΉ | Poisson Practice Problems | https://youtu.be/833ciyKyKNw |
πΉ | Geometric Distribution | https://youtu.be/WwArPIrG6qA |
πΉ | Geometric Distribution Example | https://youtu.be/dWoIlB2yv44 |
Title | Link | |
---|---|---|
πΉ | Continuous Families | https://youtu.be/hKj4dVvN66o |
πΉ | Functions of Random Variables | https://youtu.be/EfOOhlwDfDU |
πΉ | Uniform Distribution | https://youtu.be/srlZBDhtZPA |
πΉ | Exponential Distribution | https://youtu.be/84vQNITzPNs |
πΉ | Normal Distribution | https://youtu.be/rzFX5NWojp0 |
πΉ | Normal (Gaussian) Distribution | https://youtu.be/9anq5ZssVfA |
πΉ | Maximum Likelihood For the Normal Distribution | https://youtu.be/Dn6b9fCIUpM |
πΉ | Gaussian Probability | https://youtu.be/hre92jE2D4I |
πΉ | Is my data Normal? | https://youtu.be/9IcaQwQkE9I&t=88s |
πΉ | Probaiblity vs Likelihood | https://youtu.be/pYxNSUDSFH4 |
Title | Link | |
---|---|---|
πΉ | Markov's Inequality | https://youtu.be/qpEist5Hkvk |
πΉ | Chebyshev's Inequality | https://youtu.be/qA_ZWkDkduw |
πΉ | Law of Large Numbers | https://youtu.be/nD3jPt3wmF4 |
πΉ | Moment Generating Functions | https://youtu.be/0alGrCrpNAM |
πΉ | Chernoff Bound | https://youtu.be/mOJ7uq6AuoQ |
πΉ | Central Limit Theorem | https://youtu.be/YAlJCEDH2uY |
πΉ | Central Limit Theorem | https://youtu.be/wVHIJrFVj_k |
πΉ | Central Limit Theorem Proof | https://youtu.be/E1PpmaUE4jk |
Title | Link | |
---|---|---|
πΉ | Statistics intuitions: Mean, median, and mode | https://youtu.be/h8EYEJ32oQ8 |
πΉ | Statistics | https://youtu.be/4TS6wTP5dhE |
πΉ | Mean and Variance | https://youtu.be/KC0DHfUGb8w |
πΉ | Example: Finding mean, median, and mode | https://youtu.be/k3aKKasOmIw |
πΉ | Variance | https://youtu.be/zqnziKOYZGA |
πΉ | Unbiased Variance Estimation | https://youtu.be/1lcOb-AdLPk |
πΉ | Covariance | https://youtu.be/xGbpuFNR1ME |
πΉ | Covariance Matrix | https://youtu.be/locZabK4Als |
πΉ | Standard Deviation | https://youtu.be/JM0PLKbhSnI |
πΉ | Standard Error | https://youtu.be/XNgt7F6FqDU |
πΉ | Standard Deviation vs Standard Error | https://youtu.be/A82brFpdr9g |
πΉ | Correlation | https://youtu.be/4EXNedimDMs |
πΉ | Quantiles and Percentiles | https://youtu.be/IFKQLDmRK0Y |
Title | Link | |
---|---|---|
πΉ | Review of Linear Algebra | https://youtu.be/k8VxY_Z1qjk |
πΉ | Matrices Notations & Operations | https://youtu.be/zgPegwKIGkY |
πΉ | Linear Regression | https://youtu.be/7f9LpdOGGV8 |
πΉ | Polynomial Regression | https://youtu.be/YprKjHU6T6k |
πΉ | Regression Towards the Mean | https://youtu.be/BhQBfro4gj4 |
πΉ | Principal Components Analysis (PCA) | https://youtu.be/FgakZw6K1QQ |
πΉ | Principal Components Analysis (PCA) | https://youtu.be/Ph1CNwAN2wg |
πΉ | Principal Components Analysis (PCA) | https://youtu.be/Ph1CNwAN2wg |
πΉ | PCA Graphically Explained | https://youtu.be/_UVHneBUBW0 |
Title | Link | |
---|---|---|
πΉ | Confidence Intervals | https://youtu.be/TqOeMYtOc1w |
πΉ | Confidence Interval on Variance | https://youtu.be/rXK1UGc58g0 |
πΉ | Confidence Interval on Mean | https://youtu.be/eRTpROrNZqs |
πΉ | Confidence Interval with Unknown Sigma | https://youtu.be/iNAddaCfimw |
πΉ | Hypothesis Testing | https://youtu.be/OFYII9L2BxM |
πΉ | Hypothesis Testing for the Variance | https://youtu.be/qi66CelNAqI |
πΉ | p-Values | https://youtu.be/5Z9OIYA8He8 |
πΉ | p-Values | https://youtu.be/ccg48X-HMwY |
πΉ | p-Value calculation example | https://youtu.be/jTAGCHyYVIw |
πΉ | Z and T Tests | https://youtu.be/SwxPLMMiqdc |
coming soon
coming soon
Your contributions are always welcome! Please take a look at the contribution guidelines first.
MatΓas 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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