This course is part of the Introduction to Computer Science and Programming Specialization

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Offered By

University of London

Goldsmiths, University of London

Associated with the Bachelor of Science in Computer Science degree
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Introduction to Computer Science and Programming SpecializationUniversity of London

About this Course

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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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Course 3 of 3 in the

Introduction to Computer Science and Programming Specialization

Beginner Level

Approx. 37 hours to complete

English

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What you will learn

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.

Flexible deadlines

Reset deadlines in accordance to your schedule.

Shareable Certificate

Earn a Certificate upon completion

100% online

Start instantly and learn at your own schedule.

Course 3 of 3 in the

Introduction to Computer Science and Programming Specialization

Beginner Level

Approx. 37 hours to complete

English

Could your company benefit from training employees on in-demand skills?

Try Coursera for Business

Instructors

Instructor rating

4.65/5 (50 Ratings)

Omar Karakchi

28,619 Learners

1 Course

Dr Matthew Yee-King

Lecturer

Computing Department, Goldsmiths, University of London

352,022 Learners

43 Courses

Offered by

University of London

The University of London is a federal University which includes 17 world leading Colleges. With extensive experience in distance learning since 1858, University of London has enriched the lives of thousands of students, delivering high quality degrees across the globe. Today, University of London is a global leader in flexible study, offering degree programmes to over 45,000 students in over 190 countries, delivering world-leading research across the world. To find out more about University of London, visit www.london.ac.uk

Goldsmiths, University of London

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.

Start working towards your Bachelor's degree

This course is related to the 100% online Bachelor of Science in Computer Science from University of London. It will provide you with a preview of the topics, materials and instructors so you can decide if the full online degree program is right for you.

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Syllabus - What you will learn from this course

Content Rating83%(5,378 ratings)

Week1

Week 1

7 hours to complete

Number bases - binary

7 hours to complete

13 videos (Total 137 min), 4 readings, 9 quizzes

13 videos

0.001 Overview of using Numerical Mathematics in Computing6m1.001 Introduction to number bases and modular arithmetic17m1.101 Introduction to number bases17m1.103 Place value for integers: binary to decimal7m1.105 Place value for integers: decimal to binary4m1.107 Place value for fractional numbers: binary9m1.109 Rational and irrational numbers: decimal and binary20m1.114 Summary of binary system and getting ready for operations in binary53s1.201 Addition in binary4m1.203 Subtraction in binary5m1.205 Multiplication in binary6m1.208 Review of Tasks35m1.210 Summary and context of binary in computing48s

4 readings

Acknowledgements1m0.003 Technical requirements10m0.004 Optional reading10m1.003 Number bases summative quiz10m

9 practice exercises

1.102 Identifying number bases15m1.104 Integer binary to decimal20m1.106 Translating from decimal to binary (integers)30m1.108 Translating between decimal and binary fractional numbers15m1.110 Rational and irrational numbers: decimal and binary 8m1.202 Addition in binary2m1.204 Subtraction in binary3m1.206 Multiplication in binary30m1.301 Binary (Number bases) summative quiz45m

Week2

Week 2

8 hours to complete

Number bases - other bases

8 hours to complete

7 videos (Total 78 min), 2 readings, 7 quizzes

7 videos

2.101 Octal and hexadecimal (integer)12m2.103 Octal and hexadecimal (fractional)11m2.105 Special relationship between binary and hexadecimal, and binary and octal12m2.201 Hidden messages inside an image21m2.301 Arithmetic in hexadecimal/octal9m2.303 Other bases9m2.401 Summary1m

2 readings

2.100 Number bases summative quiz10m2.203 Task: Steganography – instructions20m

6 practice exercises

2.102 Translate between decimal and octal or hexadecimal (integer)40m2.104 Translate between decimal and hexadecimal or octal (fractional)30m2.106 Translate between binary and hexadecimal/octal30m2.302 Arithmetic in hexadecimal/octal30m2.304 Other bases10m2.402 Number bases summative quiz45m

Week3

Week 3

8 hours to complete

Modular arithmetic

8 hours to complete

9 videos (Total 106 min), 2 readings, 9 quizzes

9 videos

3.001 Introduction to modular arithmetic10m3.102 Computing n mod k13m3.104 Addition mod k7m3.106 Additive identity and inverse mod k8m3.201 Multiplication mod k9m3.204 Multiplicative identity, inverse mod k, exponentiation mod k26m3.206 Mod, rem and division5m3.401 Summary4m3.301 Encryption using modular arithmetic20m

2 readings

3.002 Modular arithmetic summative quiz10m3.302 Task: Encryption using modular arithmetic – instructions20m

8 practice exercises

3.101 Clock arithmetic30m3.103 Computing n mod k30m3.105 Addition mod k30m3.108 Computing additive inverses mod k30m3.203 Multiplication mod k30m3.205 Computing multiplicative inverses mod k; exponentiation mod k30m3.207 Use the operator ‘rem’2m3.402 Modular arithmetic summative quiz45m

Week4

Week 4

4 hours to complete

Sequences

4 hours to complete

7 videos (Total 65 min), 3 readings, 5 quizzes

7 videos

4.001 Introduction to sequences and series11m4.101 Introduction to sequences of numbers6m4.103 Defining sequences17m4.201 Arithmetic progressions8m4.203 Geometric progressions11m4.305 Task: Investigating random numbers8m4.401 Summary of sequences and preparation for next week59s

3 readings

4.002 Sequences and series summative quiz30m4.003 Optional reading30m4.307 Task: Generating random numbers – instructions20m

5 practice exercises

4.102 Patterns in sequences4m4.104 Defining sequences and terms2m4.202 Working with arithmetic progressions4m4.204 Geometric progressions; sequences4m4.402 Sequences and series summative quiz45m

Week5

Week 5

4 hours to complete

Series

4 hours to complete

10 videos (Total 114 min), 1 reading, 8 quizzes

10 videos

5.101 Series: sums of terms of sequences; summation symbol: sigma notation25m5.104 Finite sum of arithmetic sequences7m5.106 Finite sum of geometric sequences12m5.108 Finite sums4m5.111 Summary of series; infinite sequences and sums1m5.201 Patterns in infinite sequences; limit; convergence and divergence22m5.204 Patterns in series; limit; convergent and divergent series21m5.206 Criteria for identifying convergent/ divergent sequence and series14m5.209 Summary of convergence53s5.301 Summary of sequences and series3m

1 reading

5.100 Sequences and series summative quiz10m

8 practice exercises

5.103 Series: sums of terms of sequences; summation symbol: sigma notation20m5.105 Finite sum of arithmetic sequences2m5.107 Finite sum of geometric sequences5m5.110 Finite sums6m5.202 Limits of sequences4m5.205 Limits of series6m5.208 Criteria for identifying convergent/divergent sequences and series4m5.302 Sequences and series summative quiz45m

Week6

Week 6

6 hours to complete

Introduction to Graph Sketching and Kinematics

6 hours to complete

17 videos (Total 131 min), 2 readings, 5 quizzes

17 videos

6.001 Introduction to graph sketching and kinematics2m6.101 Cartesian coordinates16m6.201 Introduction to functions and graphs4m6.204 Functions and tables of values16m6.206 Plotting graphs by hand - aspects to consider2m6.207 Plotting graphs by hand – straight lines5m6.208 Plotting graphs by hand - quadratics10m6.209 Plotting graphs by hand - cubics7m6.210 Plotting graphs by hand – higher order polynomials4m6.211 Plotting graphs by hand – reciprocal8m6.212 Plotting graphs by hand – rational functions4m6.213 Plotting graphs by hand - piecewise3m6.301 Transformations of graphs26m6.307 Summary of graphs1m6.401 Kinematic equations13m6.403 Summary of kinematics1m6.501 Summary2m

2 readings

6.002 Graph sketching and kinematics summative quiz2m6.003 Optional reading1h

5 practice exercises

6.104 Cartesian coordinates and conditions15m6.205 Graphs and tables of values15m6.302 Transformations of graphs15m6.402 Kinematic equations15m6.502 Graphs of functions and kinematics summative quiz45m

Reviews

4.2

67 reviews

5 stars
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4 stars
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3 stars
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2 stars
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1 star
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TOP REVIEWS FROM MATHEMATICS FOR COMPUTER SCIENCE

by AAApr 18, 2021

Quizzes are not the best, almost outdated and inaccurate sometimes

by DTJun 19, 2020

I have learnt about how maths plays a good roles in computer science.

by RCAug 16, 2021

Best course. and it gives lots of questions to solve and to practice.

by KANov 16, 2022

Thanks a lot for the nice course, there is comprehensive and laconic explanation especially for modular arithmetic. Before I had some problems with it.

View all reviews

About the Introduction to Computer Science and Programming Specialization

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.

Frequently Asked Questions

When will I have access to the lectures and assignments?
Access to lectures and assignments depends on your type of enrollment. If you take a course in audit mode, you will be able to see most course materials for free. To access graded assignments and to earn a Certificate, you will need to purchase the Certificate experience, during or after your audit. If you don't see the audit option:
The course may not offer an audit option. You can try a Free Trial instead, or apply for Financial Aid.
The course may offer 'Full Course, No Certificate' instead. This option lets you see all course materials, submit required assessments, and get a final grade. This also means that you will not be able to purchase a Certificate experience.
What will I get if I subscribe to this Specialization?
When you enroll in the course, you get access to all of the courses in the Specialization, and you earn a certificate when you complete the work. Your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.
Is financial aid available?
Yes. In select learning programs, you can apply for financial aid or a scholarship if you can’t afford the enrollment fee. If fin aid or scholarship is available for your learning program selection, you’ll find a link to apply on the description page.

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