本课程是 Introduction to Computer Science and Programming 专项课程专项课程的一部分

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伦敦大学

伦敦大学金匠学院

Introduction to Computer Science and Programming 专项课程

伦敦大学

课程信息

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“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!”

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立即开始，按照自己的计划学习。

第 3 门课程（共 3 门）

Introduction to Computer Science and Programming 专项课程

可灵活调整截止日期

根据您的日程表重置截止日期。

初级

完成时间大约为43 小时

建议：13 hours/week...

英语（English）

字幕：英语（English）

您将学到的内容有

1. Transform numbers between number bases and perform arithmetic in number bases

2. Identify, describe and compute sequences of numbers and their sums.

3. Represent and describe space numerically using coordinates and graphs.

4. Study, represent and describe variations of quantities via functions and their graphs.

100% 在线

立即开始，按照自己的计划学习。

第 3 门课程（共 3 门）

Introduction to Computer Science and Programming 专项课程

可灵活调整截止日期

根据您的日程表重置截止日期。

初级

完成时间大约为43 小时

建议：13 hours/week...

英语（English）

字幕：英语（English）

教学大纲 - 您将从这门课程中学到什么

周

周 1

完成时间为 6 小时

Number bases - binary

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.

完成时间为 6 小时

13 个视频（总计 137 分钟）, 4 个阅读材料, 9 个测验

13 个视频

0.001 Overview of using Numerical Mathematics in Computing6分钟

1.001 Introduction to number bases and modular arithmetic17分钟

1.101 Introduction to number bases17分钟

1.103 Place value for integers: binary to decimal7分钟

1.105 Place value for integers: decimal to binary4分钟

1.107 Place value for fractional numbers: binary9分钟

1.109 Rational and irrational numbers: decimal and binary20分钟

1.114 Summary of binary system and getting ready for operations in binary53

1.201 Addition in binary4分钟

1.203 Subtraction in binary5分钟

1.205 Multiplication in binary6分钟

1.208 Review of Tasks35分钟

1.210 Summary and context of binary in computing48

4 个阅读材料

Acknowledgements1分钟

0.003 Technical requirements10分钟

0.004 Optional reading10分钟

1.003 Number bases summative quiz10分钟

9 个练习

1.102 Identifying number bases15分钟

1.104 Integer binary to decimal20分钟

1.106 Translating from decimal to binary (integers)8分钟

1.108 Translating between decimal and binary fractional numbers15分钟

1.110 Rational and irrational numbers: decimal and binary 8分钟

1.202 Addition in binary2分钟

1.204 Subtraction in binary3分钟

1.206 Multiplication in binary6分钟

1.301 Binary (Number bases) summative quiz45分钟

周

周 2

完成时间为 8 小时

Number bases - other bases

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.

完成时间为 8 小时

7 个视频（总计 78 分钟）, 2 个阅读材料, 7 个测验

7 个视频

2.101 Octal and hexadecimal (integer)12分钟

2.103 Octal and hexadecimal (fractional)11分钟

2.105 Special relationship between binary and hexadecimal, and binary and octal12分钟

2.201 Hidden messages inside an image21分钟

2.301 Arithmetic in hexadecimal/octal9分钟

2.303 Other bases9分钟

2.401 Summary1分钟

2 个阅读材料

2.100 Number bases summative quiz10分钟

2.203 Task: Steganography – instructions20分钟

6 个练习

2.102 Translate between decimal and octal or hexadecimal (integer)40分钟

2.104 Translate between decimal and hexadecimal or octal (fractional)30分钟

2.106 Translate between binary and hexadecimal/octal30分钟

2.302 Arithmetic in hexadecimal/octal30分钟

2.304 Other bases10分钟

2.402 Number bases summative quiz45分钟

周

周 3

完成时间为 8 小时

Modular arithmetic

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.

完成时间为 8 小时

9 个视频（总计 111 分钟）, 2 个阅读材料, 9 个测验

9 个视频

3.001 Introduction to modular arithmetic10分钟

3.102 Computing n mod k13分钟

3.104 Addition mod k7分钟

3.106 Additive identity and inverse mod k8分钟

3.201 Multiplication mod k9分钟

3.204 Multiplicative identity, inverse mod k, exponentiation mod k31分钟

3.206 Mod, rem and division5分钟

3.401 Summary4分钟

3.301 Encryption using modular arithmetic20分钟

2 个阅读材料

3.002 Modular arithmetic summative quiz10分钟

3.302 Task: Encryption using modular arithmetic – instructions20分钟

8 个练习

3.101 Clock arithmetic30分钟

3.103 Computing n mod k6分钟

3.105 Addition mod k30分钟

3.108 Computing additive inverses mod k10分钟

3.203 Multiplication mod k6分钟

3.205 Computing multiplicative inverses mod k; exponentiation mod k12分钟

3.207 Use the operator ‘rem’2分钟

3.402 Modular arithmetic summative quiz45分钟

周

周 4

完成时间为 4 小时

Sequences

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.

完成时间为 4 小时

7 个视频（总计 65 分钟）, 3 个阅读材料, 5 个测验

7 个视频

4.001 Introduction to sequences and series11分钟

4.101 Introduction to sequences of numbers6分钟

4.103 Defining sequences17分钟

4.201 Arithmetic progressions8分钟

4.203 Geometric progressions11分钟

4.305 Task: Investigating random numbers8分钟

4.401 Summary of sequences and preparation for next week59

3 个阅读材料

4.002 Sequences and series summative quiz30分钟

4.003 Optional reading30分钟

4.307 Task: Generating random numbers – instructions20分钟

5 个练习

4.102 Patterns in sequences4分钟

4.104 Defining sequences and terms2分钟

4.202 Working with arithmetic progressions4分钟

4.204 Geometric progressions; sequences4分钟

4.402 Sequences and series summative quiz45分钟

周

周 5

完成时间为 4 小时

Series

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.

完成时间为 4 小时

10 个视频（总计 114 分钟）, 1 个阅读材料, 8 个测验

10 个视频

5.101 Series: sums of terms of sequences; summation symbol: sigma notation25分钟

5.104 Finite sum of arithmetic sequences7分钟

5.106 Finite sum of geometric sequences12分钟

5.108 Finite sums4分钟

5.111 Summary of series; infinite sequences and sums1分钟

5.201 Patterns in infinite sequences; limit; convergence and divergence22分钟

5.204 Patterns in series; limit; convergent and divergent series21分钟

5.206 Criteria for identifying convergent/ divergent sequence and series14分钟

5.209 Summary of convergence53

5.301 Summary of sequences and series3分钟

1 个阅读材料

5.100 Sequences and series summative quiz10分钟

8 个练习

5.103 Series: sums of terms of sequences; summation symbol: sigma notation20分钟

5.105 Finite sum of arithmetic sequences2分钟

5.107 Finite sum of geometric sequences5分钟

5.110 Finite sums6分钟

5.202 Limits of sequences4分钟

5.205 Limits of series6分钟

5.208 Criteria for identifying convergent/divergent sequences and series4分钟

5.302 Sequences and series summative quiz45分钟

周

周 6

完成时间为 6 小时

Introduction to Graph Sketching and Kinematics

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.

完成时间为 6 小时

17 个视频（总计 131 分钟）, 2 个阅读材料, 5 个测验

17 个视频

6.001 Introduction to graph sketching and kinematics2分钟

6.101 Cartesian coordinates16分钟

6.201 Introduction to functions and graphs4分钟

6.204 Functions and tables of values16分钟

6.206 Plotting graphs by hand - aspects to consider2分钟

6.207 Plotting graphs by hand – straight lines5分钟

6.208 Plotting graphs by hand - quadratics10分钟

6.209 Plotting graphs by hand - cubics7分钟

6.210 Plotting graphs by hand – higher order polynomials4分钟

6.211 Plotting graphs by hand – reciprocal8分钟

6.212 Plotting graphs by hand – rational functions4分钟

6.213 Plotting graphs by hand - piecewise3分钟

6.301 Transformations of graphs26分钟

6.307 Summary of graphs1分钟

6.401 Kinematic equations13分钟

6.403 Summary of kinematics1分钟

6.501 Summary2分钟

2 个阅读材料

6.002 Graph sketching and kinematics summative quiz2分钟

6.003 Optional reading1小时

5 个练习

6.104 Cartesian coordinates and conditions15分钟

6.205 Graphs and tables of values15分钟

6.302 Transformations of graphs15分钟

6.402 Kinematic equations15分钟

6.502 Graphs of functions and kinematics summative quiz45分钟

讲师

Dr Matthew Yee-King

Lecturer

Computing Department, Goldsmiths, University of London

关于伦敦大学

The University of London is a federal University which includes 18 world leading Colleges. Our distance learning programmes were founded in 1858 and have enriched the lives of thousands of students, delivering high quality University of London degrees wherever our students are across the globe. Our alumni include 7 Nobel Prize winners. Today, we are a global leader in distance and flexible study, offering degree programmes to over 50,000 students in over 180 countries. To find out more about studying for one of our degrees where you are, visit www.london.ac.uk...

关于伦敦大学金匠学院

Championing research-rich degrees that provoke thought, stretch the imagination and tap into tomorrow’s world, at Goldsmiths we’re asking the questions that matter now in subjects as diverse as the arts and humanities, social sciences, cultural studies, computing, and entrepreneurial business and management. We are a community defined by its people: innovative in spirit, analytical in approach and open to all....

关于 Introduction to Computer Science and Programming 专项课程

This specialisation covers topics ranging from basic computing principles to the mathematical foundations required for computer science. You will learn fundamental concepts of how computers work, which can be applied to any software or computer system. You will also gain the practical skillset needed to write interactive, graphical programs at an introductory level. The numerical mathematics component will provide you with numerical and computational tools that are essential for the problem solving and modelling stages of computer science....

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课程信息

100% 在线

第 3 门课程（共 3 门）

可灵活调整截止日期

初级

完成时间大约为43 小时

英语（English）

您将学到的内容有

100% 在线

第 3 门课程（共 3 门）

可灵活调整截止日期

初级

完成时间大约为43 小时

英语（English）

教学大纲 - 您将从这门课程中学到什么

周 1

Number bases - binary

周 2

Number bases - other bases

周 3

Modular arithmetic

周 4

Sequences

周 5

Series

周 6

Introduction to Graph Sketching and Kinematics

讲师

Dr Matthew Yee-King

关于 伦敦大学

关于 伦敦大学金匠学院

关于 Introduction to Computer Science and Programming 专项课程

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