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Foundations

Mathematics for Computing

Curious how tech really works? Discover the essential math behind AI, Machine Learning, and Data Science.
Justyna Thompson
Trainer, Full Stack Developer & Maths Enthusiast
DevOps Pre-Requisite Course
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Description

Ever wondered how computers learn to recognize your voice, how search engines rank billions of webpages in a split second, or how digital artists craft dazzling graphics? At the heart of these miracles is mathematics—the universal language that powers computing and innovation.

In the Mathematics for Computing course, your instructor leads you through the essential math concepts that form the backbone of modern technology. If you’re an aspiring developer, data scientist, or simply curious about how math drives our digital world, this course will turn daunting formulas into practical tools you can use with confidence.

What You’ll Learn:

Linear Algebra: Building Blocks of Computation

  • Vectors, Matrices, and Tensors: Start with the pieces that computers use to process information. Discover how vectors and matrices are everywhere—powering graphics, search algorithms, and AI.
  • Matrix Operations: Learn how these structures add, multiply, and transform data, unlocking the secrets behind everything from emoji filters to facial recognition.

Calculus: The Math of Change

  • Derivatives and Gradients: Understand how computers make predictions, improve learning, and analyze trends by calculating rates of change.
  • Partial Derivatives and Gradient Descent: See how machines “learn” by adjusting parameters in the direction that makes them smarter—one small step at a time.
  • Backpropagation in Neural Networks: Demystify the math behind the magic, as you learn how artificial intelligence fine-tunes itself to recognize patterns, translate languages, and more.

Probability and Statistics: Reasoning Under Uncertainty

  • Probability Distributions: Explore how randomness shapes computing, from gambling simulations to advanced AI decision-making.
  • Bayes’ Theorem and Statistical Inference: Learn how computers make informed guesses, diagnose problems, and adapt to new information—just like humans.
  • Entropy and KL Divergence: Uncover the mathematical tools that measure surprise, uncertainty, and difference—vital for information theory, compression, and machine learning.

Throughout the journey, you’ll see how abstract concepts come alive in real-world applications—from encryption and image recognition to neural networks and recommendation engines. Join fellow learners in the KodeKloud community to discuss strategies, share insights, and solve problems together.

Unlock the power of mathematics and lay the foundation for any technology career. Enroll now, and discover the equations, ideas, and tricks that drive the digital age—one function at a time!

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About the instructor

Justyna Thompson is a passionate developer and mathematics educator, with a strong foundation in Applied Computer Science and over a decade of experience teaching mathematics and designing innovative curricula. Her recent work has focused on leveraging data science and machine learning to create powerful, real-world solutions.

At KodeKloud, Justyna designs and develops high-quality courses that bridge rigorous mathematical foundations with hands-on applications in artificial intelligence and data science. Her deep analytical skills, paired with technical expertise in coding and algorithms, allow her to deliver clear, engaging, and practical learning experiences.

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Introduction and Overview

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Lesson Content

Module Content

Course Introduction 03:38
How to Reach Out to KodeKloud and Engage with the Community
Note to Learners

Linear Algebra

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7
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Lesson Content

Module Content

Vectors, Matrices, and Tensors - Part 1 08:55
Vectors, Matrices, and Tensors - Part 2 03:44
Quiz: Vectors, Matrices, and Tensors
Matrix Operations - Part 1 09:23
Matrix Operations - Part 2 06:07
Matrix Operations - Part 3 06:54
Quiz: Matrix Operations

Calculus

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8
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Lesson Content

Module Content

Derivatives and Gradients - Part 1 07:02
Derivatives and Gradients - Part 2 15:03
Quiz: Derivatives and Gradients
Partial Derivatives and Gradient Descent - Part 1 07:58
Partial Derivatives and Gradient Descent - Part 2 11:24
Quiz: Partial Derivatives and Gradient Descent
Backpropagation in Neural Networks 16:54
Quiz: Backpropagation in Neural Networks

Probability and Statistics

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7
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Module Content

Probability Distribution - Part 1 11:55
Probability Distribution - Part 2 12:37
Probability Distribution - Part 3 07:26
Quiz: Probability Distributions
Bayes’ Theorem and Statistical Inference 15:33
Quiz: Bayes’ Theorem and Statistical Inference
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