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Calculus Fundamentals for Machine Learning

Chapter 1: Why Calculus for Machine Learning?

The Role of Math in Machine Learning

Introducing Functions: Inputs and Outputs

Visualizing Functions: Graphs

What is a Limit?

Intuition Behind Limits

Connecting Functions and Limits to ML

Quiz for Chapter 1

Chapter 2: Derivatives: Measuring Change

Rate of Change: Average vs Instantaneous

The Derivative: Slope of a Tangent Line

Derivative Notation (Leibniz and Lagrange)

Calculating Derivatives: The Power Rule

Calculating Derivatives: Constants and Sums

Introduction to Higher-Order Derivatives

Practice: Calculating Simple Derivatives

Quiz for Chapter 2

Chapter 3: Optimization with Derivatives

Finding Maximum and Minimum Points

Optimization: Why Minimize or Maximize?

Cost Functions in Machine Learning

Goal: Minimizing the Cost Function

Introduction to Gradient Descent

How Derivatives Guide Gradient Descent

Visualizing Gradient Descent

Quiz for Chapter 3

Chapter 4: Handling Multiple Inputs: Partial Derivatives

Functions of Multiple Variables

Partial Derivatives: The Concept

Calculating Partial Derivatives

Partial Derivative Notation

The Gradient Vector

Geometric Meaning of the Gradient

Practice: Calculating Partial Derivatives and Gradients

Quiz for Chapter 4

Chapter 5: Calculus in Action: Simple Optimization

Recap: Optimization Goal and Gradient Descent

Example: Simple Linear Regression Model

Defining a Cost Function for Linear Regression

Calculating Gradients for the Cost Function

Performing a Gradient Descent Step

The Learning Rate Parameter

Putting It All Together: The Optimization Process

Hands-on Practical: Manual Gradient Calculation

Quiz for Chapter 5

Quiz
Beta

Chapter: Handling Multiple Inputs: Partial Derivatives

Test your understanding and practice the concepts from this chapter

Quiz Instructions

This quiz contains 12 questions to help you practice.
You need to score at least 70% to pass.
Attempts: Unlimited.
Your highest score will be kept.
Please attempt this quiz without assistance; however, feel free to refer to the chapter notes or use a code interpreter if needed.
This assessment is for your learning and understanding, It is not formally accredited (yet).

Question Format

The questions are designed to be engaging, focusing on understanding, application, and interpretation rather than rote memorization. Expect scenario-based problems that test your ability to apply what you've learned.

Attempts

Best scores and quiz attempts will appear.

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