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Title: Lecture Notes
Description: This is the lecture notes of the Introduction to Calculus at Newcastle University in your first year, this is the lecture notes of Stuart Hall's and Michael Whites Lecture notes which will be really helpful..

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LECTURE 1 - INTRODUCTION TO THE COURSE
Oh, the leaves began to fallin’
And the seas began to part!
And the people that confronted him were many
...
Introduction
Welcome to Newcastle and congratulations on getting the grades to be admitted
during two extremely challenging years - this cannot have been easy for you and it
is my sincere hope that better times are coming
...
e
...
This lecture serves as an introduction to the course
...
What is the course about?
At A-level, calculus concerns the study of functions such as polynomials, for example f (x) = 3x5 + 3x − 10; trigonometric functions such as f (x) = sin(x) or
f (x) = cos(5x); exponential and logarithmic functions such as f (x) = e−x and
f (x) = log(3x)
...

In this course we will be developing what you have done at A Level and start
to ask more broad and slightly deeper questions about functions in general e
...
‘is
every function differentiable?’ or ‘is it always possible to integrate any function?’
...
Thus one theme in the course will be
the development of mathematical language and vocabulary
...
How the course will run
3
...
Lectures
...

In the lectures I will explain some of the theory and give examples of how it
is used to answer questions and solve problems
...

It is still a very good idea for you to make your own notes though as this helps
enormously with learning the material
...
I’m very friendly and welcome people
asking questions and pointing out any typos or things that are not clear
...
If you are able to, please wear a mask when the University requires that you
do so (at the moment that includes during lectures and classes)
...
2
...
On Friday at 16:00-17:00 there will be an online session
...
This session is recorded
...
3
...
Every other week (even teaching weeks for Calculus), on Wednesday morning, you will have a small tutorial lead by a postgraduate researcher or
possibly another member of staff
...

The activities are designed to help you deepen your understanding of the material
...
You will be told
which group to attend
Title: Lecture Notes
Description: This is the lecture notes of the Introduction to Calculus at Newcastle University in your first year, this is the lecture notes of Stuart Hall's and Michael Whites Lecture notes which will be really helpful..