Calculus

Calculus for AI & ML

This course includes

4 articles
23 mins reading time
11 videos • 5 hr 13 mins

Course content

4 sections • 20 topics • Read: 23 mins • Video: 5 hr 13 mins

Calculus Fundamentals 8 Topics, Read: 10 mins, 4 Videos: 2 hr 7 mins
Integration
Differentiation
Rules of Differentiation
Limits
Continuity
Differentiability
Maxima & Minima
Saddle Point
Integration for Machine Learning | Simple Explanation with Intuition | Calculus Watch 12 mins
Differentiation | Derivative as Slope & Rate of Change | Derivation of dy/dx formula | Explained Watch 15 mins
Maxima & Minima | Critical Point | Second Order Derivative (Hessian) Test | Explained with Examples Watch 16 mins
Calculus Fundamentals | Machine Learning | Integration |Differentiation |Maxima | Minima | Explained Watch 1 hr 22 mins
Optimization 5 Topics, Read: 8 mins, 5 Videos: 2 hr 6 mins
Loss Function
Convexity
Optimization
Constrained Optimization
Loss Function | Cost Function | Why Squared Error is the preferred Loss Function? | Explained Watch 11 mins
What is Convexity ? | Convex Function Equation | Explained with Example Watch 4 mins
Optimization in Machine Learning | Loss Minimization as Optimization Problem | Explained w\ Examples Watch 8 mins
Constrained Optimization | Lagrangian Method | Lagrange Multiplier | Explained with Example Watch 15 mins
Loss Function | Convexity | Optimization | Constrained Optimization | Lagrangian | Gradient Descent Watch 1 hr 27 mins
Gradient Descent 4 Topics, Read: 3 mins, 1 Video: 30 mins
Gradient Based Optimization
Batch Gradient Descent (BGD)
Stochastic Gradient Descent (SGD)
Mini Batch Gradient Descent (MBGD)
Gradient Descent | Batch Gradient Descent | Stochastic Gradient Descent |Mini Batch Gradient Descent Watch 30 mins
Newton's Method 3 Topics, Read: 2 mins, 1 Video: 28 mins
Newton's Method
Limitations of Newton's Method
Newton's Method of Optimization | Machine Learning | Explained with Example Watch 28 mins

Calculus Fundamentals

Calculus Fundamentals

Optimization

Loss Function, Convexity & Optimization

Gradient Descent

Gradient Descent for Optimization

Newton's Method

Newton’s Method for Optimization