Confidence Interval for a Known Population Standard Deviation
Learn how to calculate a confidence interval when the population standard deviation is known using a real-world example on teen screen time.
Hoda Osama
Introduction to Inferential Statistics: Point vs. Interval Estimation
Learn the basics of Inferential Statistics. Discover how to estimate population parameters from samples using Point Estimation and Confidence Intervals to make data-driven decisions.
⚙️ Optimization in Machine Learning: From Gradient Descent to Newton’s Method
Understand the core optimization techniques used in training machine learning models, including gradient descent, Newton’s method, learning rates, and loss surfaces.
🔺 What is the Hessian? Understanding Curvature and Optimization in Machine Learning
Learn how the Hessian matrix extends partial derivatives to second-order curvature, and why it's essential for optimization, convexity, and machine learning algorithms like Newton’s Method.
Understanding the Jacobian – A Beginner’s Guide with 2D & 3D Examples
Understand the Jacobian matrix and vector through step-by-step examples, visuals, Python code, and how it powers optimization and machine learning.
🔗 Chain Rule, Implicit Differentiation, and Partial Derivatives (Calculus for ML)
Understand the Chain Rule, Implicit Differentiation, and Partial Derivatives with simple examples. Learn how to differentiate composite and multivariable functions step by step — a must for machine learning.
📐 Understanding Gradients and Partial Derivatives (Multivariable Calculus for Machine Learning)
Learn what gradients and partial derivatives are, how to compute them step-by-step, and how they relate to slope in multivariable functions. With examples and Python code.
🔍 What is a Derivative? (Beginner’s Guide to Calculus for ML)
Learn what a derivative is, how it relates to slope and gradient, and why it's essential in calculus and machine learning — explained with examples and visuals.
🔁 From Limits to Smoothness: Transformations, Limits, Continuity & Differentiability
Understand functions as geometric transformations, visualize limits, and grasp continuity and differentiability with Python and math-based insights.
🌄 Visualizing Multivariable Functions: Contour Plots, Vector-Valued Functions & Vector Fields (Beginner's Guide)
Learn how to visualize and understand contour plots, vector-valued functions, and vector fields with Python code and clear examples. A beginner-friendly guide tying math concepts to machine learning.