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Free Data Science ★ 4.8 • 500 students • 1.5 hours

Calculus for Data Science & AI

Master derivatives, gradients, backpropagation, and autodiff for machine learning with PyTorch

Description


Calculus is the foundation of modern machine learning and AI—but most courses either stay too theoretical or skip the math entirely. This course bridges that gap.

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Calculus for Data Science & AI is designed to help you truly understand how machine learning models learn, using calculus as a practical tool—not just abstract theory.

Instead of memorizing formulas, you’ll learn how calculus directly powers core concepts like loss functions, gradient descent, and neural networks.

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We start by reframing machine learning models as mathematical functions and show how learning is simply the process of minimizing error. From there, you’ll build a strong intuition for derivatives, slopes, and sensitivity—then apply them step-by-step to real models.

As the course progresses, you’ll move into multivariable calculus, gradients, and Jacobians—key tools for understanding how modern AI systems operate under the hood.

You’ll then connect theory to practice by:

  • Deriving backpropagation by hand

  • Training a neural network from scratch using NumPy

  • Understanding how gradients flow through deep networks

Finally, you’ll explore automatic differentiation, the engine behind modern ML frameworks, and see how tools like PyTorch handle gradient computation at scale.

By the end of this course, you won’t just use machine learning—you’ll understand how it works at a fundamental level.

This course is ideal for intermediate learners who want to go beyond high-level intuition and gain a deeper, more technical understanding of AI systems.


Total Students500
Duration1.5 hours
LanguageEnglish (US)
Number of lectures17
Number of quizzes0
Total Reviews8
Global Rating4.8125
Instructor NameTensor Teach

Course Insights (for Students)

Actionable, non-generic pointers before you enroll

👍

Student Satisfaction

86% positive recent sentiment

📈

Momentum

Steady interest

⏱️

Time & Value

  • Est. time: 1.5 hours
  • Practical value: 8/10

🧭

Roadmap Fit

  • Beginner → Beginner → Advanced
✨

Key Takeaways for Learners

  • Hands-on practice
  • Real-world examples
  • Project-based learning

Course Review Summary

Signals distilled from the latest Udemy reviews

✔

What learners praise

Clear explanations and helpful examples.

⚠

Watch-outs

No consistent issues reported.

🎯

Difficulty

Beginner

👥

Best suited for

New learners starting from zero

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