Об этом курсе
24,165

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Начальный уровень

Прибл. 32 часа на выполнение

Предполагаемая нагрузка: 12 hours/week...

Английский

Субтитры: Английский

Чему вы научитесь

  • Check

    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.

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Гибкие сроки

Назначьте сроки сдачи в соответствии со своим графиком.

Начальный уровень

Прибл. 32 часа на выполнение

Предполагаемая нагрузка: 12 hours/week...

Английский

Субтитры: Английский

Программа курса: что вы изучите

Неделя
1
9 ч. на завершение

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 видео ((всего 137 мин.)), 6 материалов для самостоятельного изучения, 9 тестов
13 видео
1.001 Introduction to number bases and modular arithmetic17мин
1.101 Introduction to number bases17мин
1.103 Place value for integers: binary to decimal7мин
1.105 Place value for integers: decimal to binary4мин
1.107 Place value for fractional numbers: binary9мин
1.109 Rational and irrational numbers: decimal and binary20мин
1.114 Summary of binary system and getting ready for operations in binary53
1.201 Addition in binary4мин
1.203 Subtraction in binary5мин
1.205 Multiplication in binary6мин
1.208 Review of Tasks 1 and 235мин
1.210 Summary and context of binary in computing48
6 материала для самостоятельного изучения
Acknowledgements1мин
0.003 Technical requirements10мин
0.004 Optional reading1мин
1.003 Number Bases Summative Quiz
1.112 Task 1: Algorithm for translation between decimal and binary10мин
1.300 Number Bases Summative Quiz30мин
8 практического упражнения
1.102 Identifying number bases10мин
1.104 Integer binary to decimal20мин
1.106 Translating from decimal to binary (integers)20мин
1.108 Translating between decimal and binary fractional numbers15мин
1.110 Rational and irrational numbers: decimal and binary15мин
1.202 Addition in binary15мин
1.204 Subtraction in binary15мин
1.206 Multiplication in binary15мин
Неделя
2
8 ч. на завершение

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 видео ((всего 78 мин.)), 1 материал для самостоятельного изучения, 7 тестов
7 видео
2.103 Octal and hexadecimal (fractional)11мин
2.105 Special relationship between binary and hexadecimal, and binary and octal12мин
2.201 Hidden messages inside an image21мин
2.301 Arithmetic in hexadecimal/octal8мин
2.303 Other bases9мин
2.401 Summary1мин
1 материала для самостоятельного изучения
2.203 Task 3: Steganography – instructions15мин
6 практического упражнения
2.102 Translate between decimal and octal or hexadecimal (integer)40мин
2.104 Translate between decimal and hexadecimal or octal (fractional)20мин
2.106 Translate between binary and hexadecimal/octal40мин
2.302 Arithmetic in hexadecimal/octal
2.304 Other bases5мин
2.401 Number Bases Summative Quiz
Неделя
3
8 ч. на завершение

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 видео ((всего 111 мин.)), 3 материалов для самостоятельного изучения, 10 тестов
9 видео
3.102 Computing n mod k13мин
3.104 Addition mod k7мин
3.106 Additive identity and inverse mod k8мин
3.201 Multiplication mod k9мин
3.204 Multiplicative identity, inverse mod k, exponentiation mod k31мин
3.206 Mod, rem and division5мин
3.301 Encryption using modular arithmetic20мин
3.401 Summary4мин
3 материала для самостоятельного изучения
3.002 Instruction on the summative quiz
3.003 Modular Arithmetic Summative Quiz30мин
3.302 Task 5: Encryption using modular arithmetic – instructions20мин
9 практического упражнения
3.101 Clock arithmetic5мин
3.103 Computing n mod k15мин
3.105 Addition mod k12мин
3.108 Computing additive inverses mod k25мин
3.203 Multiplication mod k15мин
3.205 Computing multiplicative inverses mod k; exponentiation mod k30мин
3.207 Use the operator ‘rem’10мин
3.402 Modular Arithmetic Summative Quiz40мин
Josephus problem30мин
Неделя
4
5 ч. на завершение

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 видео ((всего 72 мин.)), 6 материалов для самостоятельного изучения, 5 тестов
8 видео
4.101 Introduction to sequences of numbers6мин
4.103 Defining sequences17мин
4.201 Arithmetic progressions8мин
4.203 Geometric progressions12мин
4.301 ISO Paper format7мин
4.305 Task 7: Investigating random numbers8мин
4.401 Summary of Sequences and preparation for next week.1мин
6 материала для самостоятельного изучения
4.002 Instruction to the summative quiz
4.003 Sequences and Series Summative Quiz30мин
4.004 Optional reading2мин
4.302 Task 6: Investigating ISO paper format – instructions5мин
4.307 Task 7: Generating random numbers – instructions10мин
4.402 Sequences and Series Summative Quiz30мин
4 практического упражнения
4.102 Patterns in sequences10мин
4.104 Defining sequences and terms5мин
4.202 Working with arithmetic progressions20мин
4.204 Geometric progressions; sequences15мин
Неделя
5
5 ч. на завершение

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 видео ((всего 121 мин.)), 8 тестов
10 видео
5.104 Finite sum of arithmetic sequences7мин
5.106 Finite sum of geometric sequences12мин
5.108 Finite sums10мин
5.111 Summary of series; infinite sequences and sums1мин
5.201 Patterns in infinite sequences; limit; convergence and divergence22мин
5.204 Patterns in series; limit; convergent and divergent series21мин
5.206 Criteria for identifying convergent/ divergent sequence and series14мин
5.209 Summary of Convergence1мин
5.301 Summary of Sequences and Series3мин
8 практического упражнения
5.103 Series: sums of terms of sequences; summation symbol: sigma notation20мин
5.105 Finite sum of arithmetic sequences5мин
5.107 Finite sum of geometric sequences10мин
5.110 Finite sums10мин
5.202 Limits of sequences10мин
5.205 Limits of series15мин
5.208 Criteria for identifying convergent/divergent sequences and series10мин
5.302 Sequences and Series Summative Quiz
Неделя
6
10 ч. на завершение

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 видео ((всего 149 мин.)), 6 материалов для самостоятельного изучения, 7 тестов
18 видео
6.101 Cartesian coordinates16мин
6.105 Spiral15мин
6.201 Introduction to functions and graphs4мин
6.204 Functions and tables of values16мин
6.206 Plotting graphs by hand - aspects to consider2мин
6.207 Plotting graphs by hand – straight lines5мин
6.208 Plotting graphs by hand - quadratics10мин
6.209 Plotting graphs by hand - cubics8мин
6.210 Plotting graphs by hand – higher order polynomials4мин
6.211 Plotting graphs by hand – reciprocal8мин
6.212 Plotting graphs by hand – rational functions4мин
6.213 Plotting graphs by hand - piecewise3мин
6.301 Transformations of graphs26мин
6.307 Summary of graphs1мин
6.401 Kinematic equations13мин
6.403 Summary of kinematics1мин
6.501 Summary2мин
6 материала для самостоятельного изучения
6.002 Instruction on the summative quiz
6.003 Graph Sketching and Kinematics Summative Quiz30мин
6.004 Optional reading
6.106 Task 8: Spiral: Instructions10мин
6.214 Instructions for Task 10: graph plotting and sketching by hand10мин
6.305 Instruction for Task 11: grouping functions using transformations of graphs10мин
5 практического упражнения
6.104 Cartesian coordinates and conditions15мин
6.205 Graphs and tables of values15мин
6.302 Transformations of graphs15мин
6.402 Kinematic equations15мин
6.502 Graphs of Functions and Kinematics Summative Quiz
4.1
Рецензии: 7Chevron Right

Лучшие рецензии

автор: VBMay 10th 2019

I'm on week 3. So far so good. Challenging. Love practical tasks with implementation of steganography and cryptography.

Преподаватели

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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

О Лондонский университет

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...

О Голдсмитский колледж, Лондонский университет

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....

О специализации ''Introduction to Computer Science and Programming'

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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