このコースはIntroduction to Computer Science and Programming の専門講座に属します。

Mathematics for Computer Science

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ロンドン大学（University of London）

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

Introduction to Computer Science and Programming の専門講座

ロンドン大学（University of London）

このコースについて

36,467 最近の表示

“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!”

次における3の3コース

Introduction to Computer Science and Programming の専門講座

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38時間で修了

推奨：13 hours/week...

英語

字幕：英語

学習内容

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.

次における3の3コース

Introduction to Computer Science and Programming の専門講座

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38時間で修了

推奨：13 hours/week...

英語

字幕：英語

シラバス - 本コースの学習内容

週

6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）, 4 readings, 9 quizzes

13件のビデオ

0.001 Overview of using Numerical Mathematics in Computing6 分

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 Tasks35 分

1.210 Summary and context of binary in computing48

4件の学習用教材

Acknowledgements1 分

0.003 Technical requirements10 分

0.004 Optional reading10 分

1.003 Number bases summative quiz10 分

9の練習問題

1.102 Identifying number bases15 分

1.104 Integer binary to decimal20 分

1.106 Translating from decimal to binary (integers)8 分

1.108 Translating between decimal and binary fractional numbers15 分

1.110 Rational and irrational numbers: decimal and binary 8 分

1.202 Addition in binary2 分

1.204 Subtraction in binary3 分

1.206 Multiplication in binary6 分

1.301 Binary (Number bases) summative quiz45 分

週

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）, 2 readings, 7 quizzes

7件のビデオ

2.101 Octal and hexadecimal (integer)12 分

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/octal9 分

2.303 Other bases9 分

2.401 Summary1 分

2件の学習用教材

2.100 Number bases summative quiz10 分

2.203 Task: Steganography – instructions20 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)30 分

2.106 Translate between binary and hexadecimal/octal30 分

2.302 Arithmetic in hexadecimal/octal30 分

2.304 Other bases10 分

2.402 Number bases summative quiz45 分

週

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）, 2 readings, 9 quizzes

9件のビデオ

3.001 Introduction to modular arithmetic10 分

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

3.401 Summary4 分

3.301 Encryption using modular arithmetic20 分

2件の学習用教材

3.002 Modular arithmetic summative quiz10 分

3.302 Task: Encryption using modular arithmetic – instructions20 分

8の練習問題

3.101 Clock arithmetic30 分

3.103 Computing n mod k6 分

3.105 Addition mod k30 分

3.108 Computing additive inverses mod k10 分

3.203 Multiplication mod k6 分

3.205 Computing multiplicative inverses mod k; exponentiation mod k12 分

3.207 Use the operator ‘rem’2 分

3.402 Modular arithmetic summative quiz45 分

週

4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.

7件のビデオ（合計65分）, 3 readings, 5 quizzes

7件のビデオ

4.001 Introduction to sequences and series11 分

4.101 Introduction to sequences of numbers6 分

4.103 Defining sequences17 分

4.201 Arithmetic progressions8 分

4.203 Geometric progressions11 分

4.305 Task: Investigating random numbers8 分

4.401 Summary of sequences and preparation for next week59

3件の学習用教材

4.002 Sequences and series summative quiz30 分

4.003 Optional reading30 分

4.307 Task: Generating random numbers – instructions20 分

5の練習問題

4.102 Patterns in sequences4 分

4.104 Defining sequences and terms2 分

4.202 Working with arithmetic progressions4 分

4.204 Geometric progressions; sequences4 分

4.402 Sequences and series summative quiz45 分

週

4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114分）, 1 reading, 8 quizzes

10件のビデオ

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

5.104 Finite sum of arithmetic sequences7 分

5.106 Finite sum of geometric sequences12 分

5.108 Finite sums4 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 convergence53

5.301 Summary of sequences and series3 分

1件の学習用教材

5.100 Sequences and series summative quiz10 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 sequences2 分

5.107 Finite sum of geometric sequences5 分

5.110 Finite sums6 分

5.202 Limits of sequences4 分

5.205 Limits of series6 分

5.208 Criteria for identifying convergent/divergent sequences and series4 分

5.302 Sequences and series summative quiz45 分

週

6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.

17件のビデオ（合計131分）, 2 readings, 5 quizzes

17件のビデオ

6.001 Introduction to graph sketching and kinematics2 分

6.101 Cartesian coordinates16 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 - cubics7 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

2件の学習用教材

6.002 Graph sketching and kinematics summative quiz2 分

6.003 Optional reading1 時間

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 quiz45 分

講師

Dr Matthew Yee-King

Lecturer

Computing Department, Goldsmiths, University of London

ロンドン大学（University of London）について

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...

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

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....

Introduction to Computer Science and Programming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....

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