課程信息
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100% 在線

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初級

英語(English)

字幕:英語(English)

您將學到的內容有

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

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

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

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

100% 在線

立即開始,按照自己的計劃學習。

可靈活調整截止日期

根據您的日程表重置截止日期。

初級

英語(English)

字幕:英語(English)

教學大綱 - 您將從這門課程中學到什麼

1
完成時間為 9 小時

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.

...
13 個視頻 (總計 137 分鐘), 6 個閱讀材料, 9 個測驗
13 個視頻
1.103 Place value for integers: binary to decimal7分鐘
1.105 Place value for integers: decimal to binary4分鐘
1.107 Place value for fractional numbers: binary9分鐘
1.109 Rational and irrational numbers: decimal and binary20分鐘
1.114 Summary of binary system and getting ready for operations in binary53
1.201 Addition in binary4分鐘
1.203 Subtraction in binary5分鐘
1.205 Multiplication in binary6分鐘
1.208 Review of Tasks 1 and 235分鐘
1.210 Summary and context of binary in computing48
6 個閱讀材料
Acknowledgements1分鐘
0.003 Technical requirements10分鐘
0.004 Optional reading1分鐘
1.003 Number Bases Summative Quiz1小時
1.112 Task 1: Algorithm for translation between decimal and binary10分鐘
1.300 Number Bases Summative Quiz30分鐘
8 個練習
1.102 Identifying number bases10分鐘
1.104 Integer binary to decimal20分鐘
1.106 Translating from decimal to binary (integers)20分鐘
1.108 Translating between decimal and binary fractional numbers15分鐘
1.110 Rational and irrational numbers: decimal and binary15分鐘
1.202 Addition in binary15分鐘
1.204 Subtraction in binary15分鐘
1.206 Multiplication in binary15分鐘
2
完成時間為 8 小時

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.

...
7 個視頻 (總計 78 分鐘), 1 個閱讀材料, 7 個測驗
7 個視頻
2.201 Hidden messages inside an image21分鐘
2.301 Arithmetic in hexadecimal/octal8分鐘
2.303 Other bases9分鐘
2.401 Summary1分鐘
1 個閱讀材料
2.203 Task 3: Steganography – instructions15分鐘
6 個練習
2.102 Translate between decimal and octal or hexadecimal (integer)40分鐘
2.104 Translate between decimal and hexadecimal or octal (fractional)20分鐘
2.106 Translate between binary and hexadecimal/octal40分鐘
2.302 Arithmetic in hexadecimal/octal1小時
2.304 Other bases5分鐘
2.401 Number Bases Summative Quiz1小時
3
完成時間為 8 小時

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.

...
9 個視頻 (總計 111 分鐘), 3 個閱讀材料, 10 個測驗
9 個視頻
3.106 Additive identity and inverse mod k8分鐘
3.201 Multiplication mod k9分鐘
3.204 Multiplicative identity, inverse mod k, exponentiation mod k31分鐘
3.206 Mod, rem and division5分鐘
3.301 Encryption using modular arithmetic20分鐘
3.401 Summary4分鐘
3 個閱讀材料
3.002 Instruction on the summative quiz
3.003 Modular Arithmetic Summative Quiz30分鐘
3.302 Task 5: Encryption using modular arithmetic – instructions20分鐘
9 個練習
3.101 Clock arithmetic5分鐘
3.103 Computing n mod k15分鐘
3.105 Addition mod k12分鐘
3.108 Computing additive inverses mod k25分鐘
3.203 Multiplication mod k15分鐘
3.205 Computing multiplicative inverses mod k; exponentiation mod k30分鐘
3.207 Use the operator ‘rem’10分鐘
3.402 Modular Arithmetic Summative Quiz40分鐘
Josephus problem30分鐘
4
完成時間為 5 小時

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.

...
8 個視頻 (總計 72 分鐘), 6 個閱讀材料, 5 個測驗
8 個視頻
4.201 Arithmetic progressions8分鐘
4.203 Geometric progressions12分鐘
4.301 ISO Paper format7分鐘
4.305 Task 7: Investigating random numbers8分鐘
4.401 Summary of Sequences and preparation for next week.1分鐘
6 個閱讀材料
4.002 Instruction to the summative quiz
4.003 Sequences and Series Summative Quiz30分鐘
4.004 Optional reading2分鐘
4.302 Task 6: Investigating ISO paper format – instructions5分鐘
4.307 Task 7: Generating random numbers – instructions10分鐘
4.402 Sequences and Series Summative Quiz30分鐘
4 個練習
4.102 Patterns in sequences10分鐘
4.104 Defining sequences and terms5分鐘
4.202 Working with arithmetic progressions20分鐘
4.204 Geometric progressions; sequences15分鐘

講師

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Dr Matthew Yee-King

Lecturer
Computing Department, Goldsmiths, University of London
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Dr Sara Santos

Lecturer of Mathematics
Computing Department, Goldsmiths, University of London

立即開始攻讀碩士學位

此 課程 隸屬於 伦敦大学 提供的 100% 在線 Bachelor of Science in Computer Science。如果您被錄取參加全部課程,您的課程將計入您的學位學習進程。

關於 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...

關於 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....

關於 Introduction to Computer Science and Programming 專項課程

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....
Introduction to Computer Science and Programming

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