Issue-02: Unit 6 - Adding Prerequisites Content

[shumaari]

please suggest topics for prerequisites, please provide feedback for this issue

issue created on 20230529

• assignee will keep this updated based on comments, discussions, writing and revisions
• github fork (link to be added)

status checks

[ ] task created [x] task completed :writing_hand: currently writing :ok: okayed by sam

overall topics

• math - linalg, probab
• coding topics - numpy arrays vs panda dataframes vs vectors?
• [ ] add more topics based on homework0, forum

outline for math topics

1. Types, Functions and Dependencies, Notation
2. Linear Algebra: High Dimensions, Hyperplanes, Linear Maps, Trace and Det; Quadratic Forms, Dot Products, SVD
3. Probability: Expectations, Independence, Bayes, Concentration; Coinflips, Gaussians
4. Optimization: Visualizing Derivative Rules, Sums of Terms (Constraints); Vectors vs Covectors, Overshooting, Convexity; Gradient Descent
5. Examples: Least Squares; Gaussian Fitting M-Step

detailed list for math topics

1. Types, Functions and Dependencies, Notation
2. Linear Algebra: High Dimensions, Hyperplanes, Linear Maps, Trace and Det; Quadratic Forms, Dot Products, SVD
3. Probability: Expectations, Independence, Bayes, Concentration; Coinflips, Gaussians; MLE?
   • [ ] :writing_hand: Computing Averages (Expectations)
   • [ ] :writing_hand: Gaussian Random Variable
4. Optimization: Visualizing Derivative Rules, Sums of Terms (Constraints); Vectors vs Covectors, Overshooting, Convexity; Gradient Descent
5. Examples: Least Squares; Gaussian Fitting M-Step