WEBVTT

00:00:01.760 --> 00:00:07.080
hi there and welcome to this website my
name is David Hodge I've created these

00:00:07.080 --> 00:00:10.920
pages for you to help you learn the
stuff that would otherwise be covered in

00:00:10.920 --> 00:00:15.960
engineering maths - I mean preparation
for your criteria apprentice the fact

00:00:15.960 --> 00:00:18.060
you've got this far for me means you've
already found how to log into the

00:00:18.060 --> 00:00:22.320
website and gets the right page so
that's all very good what's here it's

00:00:22.320 --> 00:00:24.840
basic lots of materials which are
designed to help you learn

00:00:24.840 --> 00:00:32.160
so obviously the setup is that it's
primarily for you to learn the materials

00:00:32.160 --> 00:00:36.270
yourself obviously I'm creating stuff
you can work through and have a look at

00:00:36.270 --> 00:00:41.100
but its primary self study together with
support provided through the site so

00:00:41.100 --> 00:00:43.800
there'll be a discussion forum I
mentioned in a minute and other ways to

00:00:43.800 --> 00:00:47.039
contact me if you need to I strongly
recommend that you use the discussion

00:00:47.039 --> 00:00:51.149
forum to ask questions it's quite rich
you can embed pictures and other stuff

00:00:51.149 --> 00:00:55.379
like that if you want to ask questions
that way but you'll be asking lots of

00:00:55.379 --> 00:00:58.770
questions and no doubt other students in
the same position if you've got almost

00:00:58.770 --> 00:01:01.379
identical questions or very similar
questions and all they'll learn from

00:01:01.379 --> 00:01:05.189
your questions so please do use that a
formal I'll respond to questions on the

00:01:05.189 --> 00:01:11.400
forum to help you learn so if you're
ever in doubt then just ask I'm not here

00:01:11.400 --> 00:01:14.520
to judge you and I have to test you
really I'm here primarily to help you

00:01:14.520 --> 00:01:18.600
learn the stuff you should do a few
things you should first read the content

00:01:18.600 --> 00:01:23.100
try exercises try some more exercises
then reflect a little bit on what you've

00:01:23.100 --> 00:01:27.090
learnt don't dive straight into trying
to see if you know it because you you

00:01:27.090 --> 00:01:30.090
weren't really test if you know it yet
until you've given it a couple of days

00:01:30.090 --> 00:01:34.500
to see if it's gone in and then later on
down the line a few days after you think

00:01:34.500 --> 00:01:38.939
you've learned the topic have a go at
some testing questions so hopefully I

00:01:38.939 --> 00:01:42.689
should be able to transition to show you
picture of me in the corner there's me

00:01:42.689 --> 00:01:46.950
and this is the site you'll get to once
you're logged in so you're probably

00:01:46.950 --> 00:01:51.119
already here let me do a quick demo just
what's on this site here so there's a

00:01:51.119 --> 00:01:55.590
welcome message here do click this and
have a look at the Welcome message input

00:01:55.590 --> 00:01:57.930
this is the video which is already
looking at the discussion forum which is

00:01:57.930 --> 00:02:00.840
the key place I might adapt this
slightly if you find it's easy to break

00:02:00.840 --> 00:02:06.030
it into more than one but for now this
discussion forum which is click here see

00:02:06.030 --> 00:02:09.899
what happens so it was new window and
then there's some text here but

00:02:09.899 --> 00:02:13.350
basically you can type a response to
this box so use this to ask

00:02:13.350 --> 00:02:22.650
questions let's close that for now okay
so the main content is in this section

00:02:22.650 --> 00:02:27.530
here called main course materials so
I'll just show you what's inside here

00:02:27.530 --> 00:02:32.610
key thing is to read the thing that says
read first this tells you how to use

00:02:32.610 --> 00:02:37.050
these materials this is my advice on how
you use these materials primarily put

00:02:37.050 --> 00:02:40.250
certain things in bold use a pen and
paper when you're working through things

00:02:40.250 --> 00:02:44.310
the syllabus learning plan is the key
document so I'll tell you something

00:02:44.310 --> 00:02:47.060
about that now so this is the key
document the syllabus learning plan

00:02:47.060 --> 00:02:50.970
there are three sections to the material
the trigonometry section and

00:02:50.970 --> 00:02:55.770
differentiation section and an
integration section and you can toggle

00:02:55.770 --> 00:02:58.740
them on and off with these buttons if I
click all three they're all disappear

00:02:58.740 --> 00:03:02.040
I click just trigonometry the
trigonometry has got three sections in

00:03:02.040 --> 00:03:07.770
and the title is here at the top if you
go to differentiation there's five

00:03:07.770 --> 00:03:12.990
sections and if I go into integration
there's three sections again and in each

00:03:12.990 --> 00:03:19.800
section I have selected for you or
provided links to some particularly

00:03:19.800 --> 00:03:24.810
useful content so each of these topics
has been discussed in many places before

00:03:24.810 --> 00:03:30.330
this page is signposting you to
excellent resources online where you can

00:03:30.330 --> 00:03:34.560
go read about that topic so you can see at the top I've put key I strongly recommend you

00:03:34.560 --> 00:03:40.260
pick one of either the HELM course notes
or the Khan Academy notes or the Math

00:03:40.260 --> 00:03:45.630
Centre notes in each topic so pick one
of the different sources and work

00:03:45.630 --> 00:03:49.830
through the materials so you'll see in
the second section here I reckon I

00:03:49.830 --> 00:03:53.550
strongly recommend either the HELM
course notes on trig identities or the

00:03:53.550 --> 00:03:57.330
bottom if you use the Math Centre notes
I recommend both these two links here so

00:03:57.330 --> 00:04:00.960
for each topic pick one and have a look
through that obviously I put more than

00:04:00.960 --> 00:04:03.780
one which means that if you get stuck
with one where you don't like the layout

00:04:03.780 --> 00:04:06.990
or you don't like the way it's being
done by all means read another one and

00:04:06.990 --> 00:04:09.300
have a look but you don't need to read
more than one of the three star items in

00:04:09.300 --> 00:04:11.960
(I wasn't clear, but do read more than one three-star if they are from the same source! e.g. in MathCentre Section 2)

00:04:11.960 --> 00:04:17.540
a given section jumping back out of is
assembling pages so for each topic

00:04:17.549 --> 00:04:20.820
there's also a Summary Page so my recommendation
will be that for each topic you first

00:04:20.820 --> 00:04:25.080
click on the summary page and if i zoom
in slightly you'll see this is a one

00:04:25.080 --> 00:04:29.050
page PDF
in which the key points the objectives

00:04:29.050 --> 00:04:34.600
and the links again are provided there's
one of these for each of the topics so

00:04:34.600 --> 00:04:38.410
this is probably the best way to start
for any given topic is have a look at

00:04:38.410 --> 00:04:41.800
the title look at the Summary Page and
then come back and choose which topic

00:04:41.800 --> 00:04:45.250
you'd like to do okay
I'll close that for a moment the other

00:04:45.250 --> 00:04:48.970
thing that's in here is the progress
checklist I would normally print this

00:04:48.970 --> 00:04:52.120
out and give it to you but I can't in
this case so what this is if I zoom in

00:04:52.120 --> 00:05:00.340
slightly for all the topics on the
previous page on the syllabus and the

00:05:00.340 --> 00:05:05.650
[revision] learning plan I've put two questions for
each topic one is a an introductory

00:05:05.650 --> 00:05:10.210
question basic question one is a more
complex question which is designed to

00:05:10.210 --> 00:05:13.840
help you go through and see your
progress as you're getting along so

00:05:13.840 --> 00:05:17.860
potentially print this out or just make
some notes on some paper keep track of

00:05:17.860 --> 00:05:21.520
how well you're getting on which bits
you think you've now done and you'll see

00:05:21.520 --> 00:05:25.210
in the topic code up matched them up with the
previous page and you'll see for each of

00:05:25.210 --> 00:05:30.490
the (sections) there's three five and then three so for
each of the thirteen topics there's two

00:05:30.490 --> 00:05:36.460
questions sort of a basic question and
then a more complex question this is

00:05:36.460 --> 00:05:42.070
more about helping you judge what your
level is that again it's there to help

00:05:42.070 --> 00:05:47.349
you progress through the work okay
that's the end of the main section

00:05:47.349 --> 00:05:54.729
there's a very similar section here on
pre course revision so if I

00:05:54.729 --> 00:05:57.910
open the revision learning plan a
similar page here this has got four

00:05:57.910 --> 00:06:02.620
topics in and these topics are topics
which are kind of prerequisites which is

00:06:02.620 --> 00:06:05.800
assumed to some level you're very
comfortable with but obviously if you

00:06:05.800 --> 00:06:08.979
don't feel comfortable or would like a
bit of revision then by all means come

00:06:08.979 --> 00:06:12.940
into here there's one topic on powers
and indices of course powers are indices

00:06:12.940 --> 00:06:17.050
it's just another name for them one section
on algebra rearranging equations

00:06:17.050 --> 00:06:21.580
transpositions one on simplification and
factorization and then finally one on

00:06:21.580 --> 00:06:26.410
trigonometric functions so sine cosine
and tan just while I'm here if you look

00:06:26.410 --> 00:06:30.220
at this first column sometimes one of
the sources I chose the Khan Academy

00:06:30.220 --> 00:06:34.690
notes doesn't have a brilliant source I
would recommend for you on that topic so

00:06:34.690 --> 00:06:37.120
I've written no specific recommendation
from that

00:06:37.120 --> 00:06:42.820
so obviously there's always at least two
in any given section for resources that

00:06:42.820 --> 00:06:47.350
I suggest you go and have a look at okay
if I return now back to here there's one

00:06:47.350 --> 00:06:51.190
more thing in this section which is also
with the revision section just to get

00:06:51.190 --> 00:06:55.210
you totally started there's these try
at having questions so these are on the

00:06:55.210 --> 00:06:59.050
same topic as the revision topics have a
read of this text here basically it says

00:06:59.050 --> 00:07:03.910
I'm not testing you this is entirely for
you to help you judge what kind of

00:07:03.910 --> 00:07:09.190
revision you might want to do so there's
a question that's a basic question on

00:07:09.190 --> 00:07:13.030
simpli.. on powers and simplifying powers
there is a more complex question on

00:07:13.030 --> 00:07:17.680
powers then there's a simple question on
algebra and then a more complex question

00:07:17.680 --> 00:07:21.250
and algebra and then there's more
algebra sections but there's essentially

00:07:21.250 --> 00:07:23.949
a basic kind of complex question in each
of the topics for which there's a

00:07:23.949 --> 00:07:27.910
revision section so that you can look at
this question and from this you could

00:07:27.910 --> 00:07:30.370
gauge whether you want to go into a
little bit of a vision on that topic

00:07:30.370 --> 00:07:33.570
first there should be a one on the
bottom here that's on triangle... there we go

00:07:33.570 --> 00:07:39.370
trigonometry so that's the end of the
revision section there's a mini course

00:07:39.370 --> 00:07:42.700
library so this will complement the main
course materials as we come to them I

00:07:42.700 --> 00:07:46.780
won't say much about it now but mainly
in here what you're going to find is

00:07:46.780 --> 00:07:52.300
I'll put some extra resources that will
go with the topics that are inside this

00:07:52.300 --> 00:07:56.169
syllabus learning plan after you've had
a go so after you've picked the topic

00:07:56.169 --> 00:07:59.950
after you've read about the topic and
you've tried exercises and you've tried

00:07:59.950 --> 00:08:04.870
the the sheets inside here and you think
you understand the topic a couple of days

00:08:04.870 --> 00:08:09.699
later I'll recommend you go and have a
go at the the mini course my only final

00:08:09.699 --> 00:08:12.580
request for you is probably to have a
look at here see I've got a snazzy

00:08:12.580 --> 00:08:16.770
picture of myself here I recommend it's
quite nice to have a profile picture you

00:08:16.770 --> 00:08:20.289
should be able to click... you close this
down here in when you click on your name

00:08:20.289 --> 00:08:24.849
here you should be able to come back in
and set yourself a picture so have a go

00:08:24.849 --> 00:08:32.260
at that the introductory email I have sent
you should also encourage you to send me

00:08:32.260 --> 00:08:35.950
an email so that we can have a meet up
fairly early on so that I can get to say

00:08:35.950 --> 00:08:41.020
say hello to you in person and check that
you've settled in alright I think

00:08:41.020 --> 00:08:44.860
that's enough for this welcome video
mostly just enjoy yourselves and I'll

00:08:44.860 --> 00:08:47.670
speak to you again soon