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所在平台: Coursera |
课程主页: https://www.coursera.org/learn/mathematics-for-computer-science
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课程名称：计算机科学中的数学 课程概述：欢迎来到《数值数学导论》。本课程旨在提供计算机科学所需的一部分数学基础，涵盖从商业到视觉数字艺术、音乐、游戏等各个领域。在问题解决和建模的各个阶段，您都需要数值和计算工具。我们将从二进制和其他数字系统入手，介绍一些工具，让您理解数字序列、空间的数值表示（使用坐标）、以及通过函数及其图形研究量的变化。我们准备了一些与计算和日常生活相关的问题，供您使用这些工具进行解决，从发送秘密信息到设计计算机图形。如果您希望进一步学习，可以加入计算机科学本科学位课程，完成完整的“数值数学”模块。享受学习吧！ 课程大纲： 1. 数字系统 - 二进制 - 本周内容：介绍数位值和数字系统的关键概念，学习二进制的操作方法。 2. 数字系统 - 其他进制 - 本周内容：扩展数位值和数字系统到八进制、十六进制及其他进制，介绍十六进制在计算机科学中的重要性。 3. 模运算 - 本周内容：涵盖同余的关键概念及其应用，介绍在计算机科学中模运算的重要性。 4. 数列 - 本周内容：重点学习数字序列，详细研究特定类型的数列——数列的算术和几何进展。 5. 数列的和 - 本周内容：在数列的基础上，研究数列的和，特别是来自算术和几何进展的和的表达形式，学习使用求和符号的紧凑形式表示。 6. 图形素描与运动学导论 - 本周内容：重点学习坐标系统、函数及其图形表示，研究运动建模的实例。
Name:Number bases - binary
Description:In this week, we will cover the key concepts: Place value and Number systems. You will learn about the notion of number bases, how to do operate in binary.
Name:Number bases - other bases
Description:In this week, we will extend the place value and number systems to Octal, Hexadecimal and any other bases. You will also be introduced to the usefulness of hexadecimal in computer science.
Name:Modular arithmetic
Description:In this week, we will cover the key concept of congruence modulo an integer. You will also be introduced to the usefulness of congruence and modular arithmetic operations in computer science.
Name:Sequences
Description:In this week, we will cover the key concept of number sequences. You will look into more detail at a special family of sequences, called progressions, and study arithmetic and geometric progressions.
Name:Series
Description:In this week, we will cover the key concept of number series, building on number sequences. You will look into more detail at a special family of series arising from arithmetic and geometric progressions. You will look at expression summations of sequences using a compact form with a summation symbol.
Name:Introduction to Graph Sketching and Kinematics
Description:In this week, we will cover the key concept of coordinate system, functions and graphical representation of functions, and kinematics. You will look at the example of modelling motion.
“Welcome to Introduction to Numerical Mathematics. This is designed to give you part of the mathematical foundations needed to work in computer science in any of its strands, from business to visual digital arts, music, games. At any stage of the problem solving and modelling stage you will require numerical and computational tools. We get you started in binary and other number bases, some tools to make sense of sequences of numbers, how to represent space numerical using coordinates, how to study variations of quantities via functions and their graphs. For this we prepared computing and everyday life problems for you to solve using these tools, from sending secret messages to designing computer graphics. If you wish to take it further you can join the BSc Computer Science degree and complete the full module ‘Numerical Mathematics’. Enjoy!”
