このコースについて
4.1
15件の評価
7件のレビュー

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自分のスケジュールですぐに学習を始めてください。

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初級レベル

約32時間で修了

推奨:12 hours/week...

英語

字幕:英語

学習内容

  • Check

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

  • Check

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

  • Check

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

  • Check

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

100%オンライン

自分のスケジュールですぐに学習を始めてください。

柔軟性のある期限

スケジュールに従って期限をリセットします。

初級レベル

約32時間で修了

推奨:12 hours/week...

英語

字幕:英語

シラバス - 本コースの学習内容

1
9時間で修了

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件のビデオ (合計137分), 6 readings, 9 quizzes
13件のビデオ
1.001 Introduction to number bases and modular arithmetic17 分
1.101 Introduction to number bases17 分
1.103 Place value for integers: binary to decimal7 分
1.105 Place value for integers: decimal to binary4 分
1.107 Place value for fractional numbers: binary9 分
1.109 Rational and irrational numbers: decimal and binary20 分
1.114 Summary of binary system and getting ready for operations in binary53
1.201 Addition in binary4 分
1.203 Subtraction in binary5 分
1.205 Multiplication in binary6 分
1.208 Review of Tasks 1 and 235 分
1.210 Summary and context of binary in computing48
6件の学習用教材
Acknowledgements1 分
0.003 Technical requirements10 分
0.004 Optional reading1 分
1.003 Number Bases Summative Quiz
1.112 Task 1: Algorithm for translation between decimal and binary10 分
1.300 Number Bases Summative Quiz30 分
8の練習問題
1.102 Identifying number bases10 分
1.104 Integer binary to decimal20 分
1.106 Translating from decimal to binary (integers)20 分
1.108 Translating between decimal and binary fractional numbers15 分
1.110 Rational and irrational numbers: decimal and binary15 分
1.202 Addition in binary15 分
1.204 Subtraction in binary15 分
1.206 Multiplication in binary15 分
2
8時間で修了

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件のビデオ (合計78分), 1 reading, 7 quizzes
7件のビデオ
2.103 Octal and hexadecimal (fractional)11 分
2.105 Special relationship between binary and hexadecimal, and binary and octal12 分
2.201 Hidden messages inside an image21 分
2.301 Arithmetic in hexadecimal/octal8 分
2.303 Other bases9 分
2.401 Summary1 分
1件の学習用教材
2.203 Task 3: Steganography – instructions15 分
6の練習問題
2.102 Translate between decimal and octal or hexadecimal (integer)40 分
2.104 Translate between decimal and hexadecimal or octal (fractional)20 分
2.106 Translate between binary and hexadecimal/octal40 分
2.302 Arithmetic in hexadecimal/octal
2.304 Other bases5 分
2.401 Number Bases Summative Quiz
3
8時間で修了

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件のビデオ (合計111分), 3 readings, 10 quizzes
9件のビデオ
3.102 Computing n mod k13 分
3.104 Addition mod k7 分
3.106 Additive identity and inverse mod k8 分
3.201 Multiplication mod k9 分
3.204 Multiplicative identity, inverse mod k, exponentiation mod k31 分
3.206 Mod, rem and division5 分
3.301 Encryption using modular arithmetic20 分
3.401 Summary4 分
3件の学習用教材
3.002 Instruction on the summative quiz
3.003 Modular Arithmetic Summative Quiz30 分
3.302 Task 5: Encryption using modular arithmetic – instructions20 分
9の練習問題
3.101 Clock arithmetic5 分
3.103 Computing n mod k15 分
3.105 Addition mod k12 分
3.108 Computing additive inverses mod k25 分
3.203 Multiplication mod k15 分
3.205 Computing multiplicative inverses mod k; exponentiation mod k30 分
3.207 Use the operator ‘rem’10 分
3.402 Modular Arithmetic Summative Quiz40 分
Josephus problem30 分
4
5時間で修了

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件のビデオ (合計72分), 6 readings, 5 quizzes
8件のビデオ
4.101 Introduction to sequences of numbers6 分
4.103 Defining sequences17 分
4.201 Arithmetic progressions8 分
4.203 Geometric progressions12 分
4.301 ISO Paper format7 分
4.305 Task 7: Investigating random numbers8 分
4.401 Summary of Sequences and preparation for next week.1 分
6件の学習用教材
4.002 Instruction to the summative quiz
4.003 Sequences and Series Summative Quiz30 分
4.004 Optional reading2 分
4.302 Task 6: Investigating ISO paper format – instructions5 分
4.307 Task 7: Generating random numbers – instructions10 分
4.402 Sequences and Series Summative Quiz30 分
4の練習問題
4.102 Patterns in sequences10 分
4.104 Defining sequences and terms5 分
4.202 Working with arithmetic progressions20 分
4.204 Geometric progressions; sequences15 分
5
5時間で修了

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....
10件のビデオ (合計121分), 8 quizzes
10件のビデオ
5.104 Finite sum of arithmetic sequences7 分
5.106 Finite sum of geometric sequences12 分
5.108 Finite sums10 分
5.111 Summary of series; infinite sequences and sums1 分
5.201 Patterns in infinite sequences; limit; convergence and divergence22 分
5.204 Patterns in series; limit; convergent and divergent series21 分
5.206 Criteria for identifying convergent/ divergent sequence and series14 分
5.209 Summary of Convergence1 分
5.301 Summary of Sequences and Series3 分
8の練習問題
5.103 Series: sums of terms of sequences; summation symbol: sigma notation20 分
5.105 Finite sum of arithmetic sequences5 分
5.107 Finite sum of geometric sequences10 分
5.110 Finite sums10 分
5.202 Limits of sequences10 分
5.205 Limits of series15 分
5.208 Criteria for identifying convergent/divergent sequences and series10 分
5.302 Sequences and Series Summative Quiz
6
10時間で修了

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....
18件のビデオ (合計149分), 6 readings, 7 quizzes
18件のビデオ
6.101 Cartesian coordinates16 分
6.105 Spiral15 分
6.201 Introduction to functions and graphs4 分
6.204 Functions and tables of values16 分
6.206 Plotting graphs by hand - aspects to consider2 分
6.207 Plotting graphs by hand – straight lines5 分
6.208 Plotting graphs by hand - quadratics10 分
6.209 Plotting graphs by hand - cubics8 分
6.210 Plotting graphs by hand – higher order polynomials4 分
6.211 Plotting graphs by hand – reciprocal8 分
6.212 Plotting graphs by hand – rational functions4 分
6.213 Plotting graphs by hand - piecewise3 分
6.301 Transformations of graphs26 分
6.307 Summary of graphs1 分
6.401 Kinematic equations13 分
6.403 Summary of kinematics1 分
6.501 Summary2 分
6件の学習用教材
6.002 Instruction on the summative quiz
6.003 Graph Sketching and Kinematics Summative Quiz30 分
6.004 Optional reading
6.106 Task 8: Spiral: Instructions10 分
6.214 Instructions for Task 10: graph plotting and sketching by hand10 分
6.305 Instruction for Task 11: grouping functions using transformations of graphs10 分
5の練習問題
6.104 Cartesian coordinates and conditions15 分
6.205 Graphs and tables of values15 分
6.302 Transformations of graphs15 分
6.402 Kinematic equations15 分
6.502 Graphs of Functions and Kinematics Summative Quiz

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

ロンドン大学(University of London)について

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ロンドン大学ゴールドスミス・カレッジ(Goldsmiths, University of London)について

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Introduction to Computer Science and Programmingの専門講座について

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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