Mathematics underpins every aspect of computing, from algorithms and artificial intelligence to data analysis and cryptography. Applied Mathematical Methods for Computing equips you with essential tools in algebra, vectors, matrices, sequences, series, combinatorics, probability, and statistics. These methods provide the structure and reasoning needed to solve complex computational problems. Across four modules, you’ll explore advanced techniques, practise solving real-world examples, and build the confidence to apply mathematics in programming, algorithms, and data science. By the end, you’ll have a comprehensive toolkit for modelling systems, analysing uncertainty, and reasoning rigorously about computational tasks. Whether you’re preparing for advanced studies in computer science or strengthening your foundations for professional roles, this course offers the mathematical depth you need to succeed.
Applied Mathematical Methods for Computing
Applied Mathematical Methods for Computing
位教师：Omar Karakchi
访问权限由 New York State Department of Labor 提供
您将学到什么
Apply algebra, vectors, and matrices to represent data, model transformations, and solve computational problems.
Work with sequences and series, understanding convergence and applying summation techniques in computing contexts.
Use combinatorial methods, including permutations and combinations, to analyse arrangements, counts, and algorithm behaviour.
Apply probability and statistical reasoning to interpret data, model uncertainty, and support computational decision-making.
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24 项作业
February 2026
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该课程共有4个模块
In this module, we will introduce algebra, vectors and matrices. This week, we will introduce vectors and vector spaces and look at how to perform basic operations with vectors. We will then introduce linear transformations and their representation via matrices. We will use matrices to describe and capture geometrical transformations (rotations, contractions, shear and projections). We will use a trick (using an extra dimension) to deal with translations.
涵盖的内容
13个视频3篇阅读材料5个作业
In this module, we will cover the key concepts of sequences, series and the principle of mathematical induction. We will understand what a sequence is and look at its convergence and divergence. We will also introduce the concept of series.
涵盖的内容
11个视频9个作业
In this module, we will cover the following key concepts: counting, permutations, combinations, inclusions, exclusions and the Pigeonhole Principle.
涵盖的内容
9个视频2篇阅读材料7个作业1个讨论话题
This week, we will introduce basic concepts of statistics. We will look at how to estimate probabilities from data and how to define and extract important measures from data, like mean, median and variance.
涵盖的内容
6个视频1篇阅读材料3个作业
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