Mathematics provides the foundation for reasoning, problem-solving, and analysis in computer science. Geometry and Calculus for Computing equips you with essential tools to model shapes, describe motion, and analyse change. Across four modules, you’ll build a solid grounding in trigonometry, graph sketching, kinematics, exponential and logarithmic functions, and introductory calculus. You’ll learn to connect abstract mathematical concepts to practical computing applications, from computer graphics and simulations to optimisation and algorithm analysis. By the end of the course, you’ll have the skills to interpret functions, calculate gradients, and apply mathematical reasoning to a wide range of computational problems. This course prepares you for advanced study in computer science and data science by strengthening the mathematical toolkit you need to succeed in both academic and professional contexts.
Geometry and Calculus for Computing
您将学到什么
Solve geometric and trigonometric problems involving angles, lines, and triangles, applying them to computing contexts.
Sketch and interpret graphs of functions and apply kinematics to describe displacement, velocity, and acceleration.
Work with exponential and logarithmic functions, exploring their rules, graphs, and applications in computational systems.
Understand limits and apply differentiation to calculate gradients, sketch curves, and solve optimisation problems.
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要了解的详细信息
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17 项作业
February 2026
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该课程共有4个模块
In this module, we will look at angles, triangles and trigonometry. We will study trigonometric ratios on different triangles, we will work with triangles that are not necessarily right-angled and we will use the sine, cosine and tangent rules relating to the lengths and angles of a triangle. We will also look at Pythagoras' theorem and use it in conjunction with trigonometric ratios.
涵盖的内容
9个视频4篇阅读材料5个作业
In this module, we will learn about three concepts: the definition of a function, Cartesian coordinates and the graph of a function. We will use these concepts to describe simple motion (kinematics).
涵盖的内容
9个视频2篇阅读材料4个作业
In this topic (weeks 13 and 14), we will look at exponential and logarithmic functions. This week, we will introduce the exponential functional as extension of elevation to a non-integer power, we derive its properties and plot.
涵盖的内容
8个视频3个作业
In this topic (weeks 15 and 16), we will focus on limits and differentiation. This week, we will look at limits of a function and discuss the concept of continuity of a function. We will then introduce a new tool, differentiation and derive the derivative of common functions from first principles.
涵盖的内容
12个视频1篇阅读材料5个作业
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