Learn the concepts and methods of linear algebra, and how to use them to think about computational problems arising in computer science. Coursework includes building on the concepts to write small programs and run them on real data.

When you take a digital photo with your phone or transform the image in Photoshop, when you play a video game or watch a movie with digital effects, when you do a web search or make a phone call, you are using technologies that build upon linear algebra. Linear algebra provides concepts that are crucial to many areas of computer science, including graphics, image processing, cryptography, machine learning, computer vision, optimization, graph algorithms, quantum computation, computational biology, information retrieval and web search. Linear algebra in turn is built on two basic elements, the matrix and the vector.In this class, you will learn the concepts and methods of linear algebra, and how to use them to think about problems arising in computer science. You will write small programs in the programming language Python to implement basic matrix and vector functionality and algorithms, and use these to process real-world data to achieve such tasks as: two-dimensional graphics transformations, face morphing, face detection, image transformations such as blurring and edge detection, image perspective removal, classification of tumors as malignant or benign, integer factorization, error-correcting codes, and secret-sharing.

- The Function
- The Field
- The Vector
- The Vector Space
- The Matrix
- The Basis
- Dimension
- Gaussian Elimination
- The Inner Product
- Orthogonalization

You are

**Will I get a statement of accomplishment after completing this class?**

Yes. Students who successfully complete the class will receive a statement of accomplishment signed by the instructor.**What resources will I need for this class?**

You will need a computer with Python installed (version 3.x). We will provide additional Python modules for you to download.**What is the coolest thing I'll learn if I take this class?**

Here are some cool things: removing the perspective from an image, a simple machine-learning algorithm applied to cancer data.

Dates:

- 2 February 2015, 10 weeks
- 1 July 2013, 8 weeks

Included in selections:

Алгоритмизация вычислений

1 курс МИЭМ ВШЭ, 4 кредита

1 курс МИЭМ ВШЭ, 4 кредита

Mathematics

Calculus, Linear algebra, Functional and Complex Analysis and more

Calculus, Linear algebra, Functional and Complex Analysis and more

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