“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.

Offered By

## About this Course

### 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.

### Offered by

#### University of London

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

#### 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.

## Syllabus - What you will learn from this course

**7 hours to complete**

## 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.

**7 hours to complete**

**13 videos**

**4 readings**

**9 practice exercises**

**8 hours to complete**

## 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.

**8 hours to complete**

**7 videos**

**2 readings**

**6 practice exercises**

**8 hours to complete**

## 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.

**8 hours to complete**

**9 videos**

**2 readings**

**8 practice exercises**

**4 hours to complete**

## 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.

**4 hours to complete**

**7 videos**

**3 readings**

**5 practice exercises**

## Reviews

### TOP REVIEWS FROM MATHEMATICS FOR COMPUTER SCIENCE

The content is very interesting and the professor is amazing. But, the quality of the examinations could use some perfecting, although they are challenging and relevant which is a very good thing!

It was challenging and at some parts a little bit ambiguous but I think the material was good and the teacher's passionate and funny personality made it an enjoyable experience.

still errors in quizzes after notification in beta-test. No-one from staff replies to comments or forums. I really want to give it 3.5, not 4

There are problems with some of the quizzes and were extremely frustrating, but I had positive learning experience with Dr Sara Santos

## 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.

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