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MATH6000: Week 12

December 3, 2014 in MATH6000 | Leave a comment

I am emailing a link of this to everyone on the class list every week. If you are not receiving these emails or want to have them sent to another email address feel free to email me at jpmccarthymaths@gmail.com and I will add you to the mailing list.

Assessment 5

Assessment 5 is Wednesday 10 December in the Melbourne Building at 6.15 pm. Keep an eye on your CIT Blackboard and email for the latest and definitive assessment information.

Week 12

In Week 12 we verified Snell’s Law using a graph. Then we discussed linear models and formulated a linear model for the amount of Carbon Dioxide in the atmosphere using data and a graph. Then we discussed how to linearise a non-linear relationship and finally model the spread of a disease — the whole time using graphs.

Week 13

Tutorial times as normal. Obviously no tutorials on Thursday.

The lecture times will be given over to tutorials by me: same times and rooms.

Tutorials

  • Group A with Mr. Adrian O’Connor: Wednesday 09:00 in B187 and Thursday 09:00 in B185
  • Group B with myself: Monday 12:00 in F1. 3 and Thursday 12:00 in B165

Self-Study

If you go to

Blackboard -> MATH6000 -> Content -> Numbas Tests,

you will find plenty of online tests developed by Mr. Pat Ahern. Give them a try if you are at a computer!

Please feel free to ask me questions about the exercises via email or even better on this webpage.

Student Resources

Student Resources are now collated at the Student Resources tab on the top of this page.

MATH6000: Week 11

November 26, 2014 in MATH6000 | Leave a comment

I am emailing a link of this to everyone on the class list every week. If you are not receiving these emails or want to have them sent to another email address feel free to email me at jpmccarthymaths@gmail.com and I will add you to the mailing list.

Assessment 4

Assessment 4 is today, Wednesday 26 November in the Melbourne Building at 6.15 pm. Keep an eye on your CIT Blackboard and email for the latest and definitive assessment information.

P.21 of the mathematical tables will be put on the exam paper. As a result the paper will be harder than the sample with ten MCQ and three longer questions.

Good practise for the longer, harder questions, is P.144, Q. 1-3, 7 and especially P.171 Q.8.

Week 11

In Week 11 we spoke speak briefly about how graphs are useful in science. The rest of the lectures were spent covering coordinate geometry of the line.

You will need graph paper for your Week 12 lectures and tutorials.

Week 12

In Week 12 we will verify Snell’s Law using a graph. Then we will discuss linear models and formulate a linear model for the amount of Carbon Dioxide in the atmosphere using data and a graph. Then we will discuss how to linearise a non-linear relationship and finally model the spread of a disease — the whole time using graphs.

Tutorials

  • Group A with Mr. Adrian O’Connor: Wednesday 09:00 in B187 and Thursday 09:00 in B185
  • Group B with myself: Monday 12:00 in F1. 3 and Thursday 12:00 in B165

Self-Study

If you go to

Blackboard -> MATH6000 -> Content -> Numbas Tests,

you will find plenty of online tests developed by Mr. Pat Ahern. Give them a try if you are at a computer!

Please feel free to ask me questions about the exercises via email or even better on this webpage.

Student Resources

Student Resources are now collated at the Student Resources tab on the top of this page.

MATH6000: Week 10

November 19, 2014 in MATH6000 | Leave a comment

I am emailing a link of this to everyone on the class list every week. If you are not receiving these emails or want to have them sent to another email address feel free to email me at jpmccarthymaths@gmail.com and I will add you to the mailing list.

Assessment 4

Assessment 4 is on Wednesday 26 November in the Melbourne Building at 6.15 pm. Keep an eye on your CIT Blackboard and email for the latest and definitive assessment information.

P.21 of the mathematical tables will be put on the exam paper. As a result the paper will be harder than the sample with ten MCQ and three longer questions.

Good practise for the longer, harder questions, is P.144, Q. 1-3, 7 and especially P.171 Q.8.

Week 10

In Week 10 we looked at the properties of the logarithm function in detail. We explained why only the bases e and ten are given special buttons on your calculator and we solved some exponential and logarithmic equations. We started talking about exponential graphs (an Assessment 5 topic) and started talking about the duality between algebra and geometry.

Week 11

In Week 11 we will speak briefly about how graphs are useful in science. The rest of the lectures will be spent covering coordinate geometry of the line.

You will need graph paper for your Week 12 lectures and tutorials.

Tutorials

  • Group A with Mr. Adrian O’Connor: Wednesday 09:00 in B187 and Thursday 09:00 in B185
  • Group B with myself: Monday 12:00 in F1. 3 and Thursday 12:00 in B165

Self-Study

If you go to

Blackboard -> MATH6000 -> Content -> Numbas Tests,

you will find plenty of online tests developed by Mr. Pat Ahern. Give them a try if you are at a computer!

Please feel free to ask me questions about the exercises via email or even better on this webpage.

Student Resources

Student Resources are now collated at the Student Resources tab on the top of this page.

MATH6000: Week 9

November 12, 2014 in MATH6000 | Leave a comment

I am emailing a link of this to everyone on the class list every week. If you are not receiving these emails or want to have them sent to another email address feel free to email me at jpmccarthymaths@gmail.com and I will add you to the mailing list.

Assessment 3

Assessment 3 is on this evening, Wednesday 12 November in the Melbourne Building at 6.15 pm. Keep an eye on your CIT Blackboard and email for the latest and definitive assessment information.

Week 9

In Week 9 we looked at scientific notation, the conversion of units and we also defined the logarithm.

Week 10

In Week 10 we will look at the properties of the logarithm function. We will explain why only the bases e and ten are given special buttons on your calculator and solve some exponential and logarithmic equations. We might start talking about exponential graphs if ye are lucky!

Assessment 4

Assessment 4 is on the evening of Wednesday 26 November in the Melbourne Building at 6.15 pm. Keep an eye on your CIT Blackboard and email for the latest and definitive assessment information. Everything in Chapter 3 is examined in Assessment 4.

Tutorials

  • Group A with Mr. Adrian O’Connor: Wednesday 09:00 in B187 and Thursday 09:00 in B185
  • Group B with myself: Monday 12:00 in F1. 3 and Thursday 12:00 in B165

Self-Study

If you go to

Blackboard -> MATH6000 -> Content -> Numbas Tests,

you will find plenty of online tests developed by Mr. Pat Ahern. Give them a try if you are at a computer!

Please feel free to ask me questions about the exercises via email or even better on this webpage.

Student Resources

Student Resources are now collated at the Student Resources tab on the top of this page.

MATH6000: Week 8

November 5, 2014 in MATH6000 | Leave a comment

I am emailing a link of this to everyone on the class list every week. If you are not receiving these emails or want to have them sent to another email address feel free to email me at jpmccarthymaths@gmail.com and I will add you to the mailing list.

Assessment 3

Assessment 3 is on the evening of Wednesday 12 November in the Melbourne Building at 6.15 pm. Keep an eye on your CIT Blackboard and email for the latest and definitive assessment information.

Week 8

In Week 8 we finished talking about simultaneous equations and also spoke about functions. We started Chapter 3 on Indices and Logs (which is the Assessment 4 material). We defined a^n for n=1,2,3,\dots and discovered the arithmetic\laws of powers. Then we found out what a^0,\,a^{-n},\,a^{\frac{m}{n}} must be in order to be consistent with these laws.

Week 9

In Week 9 we will look at scientific notation and the conversion of units.

Assessment 4

Assessment 4 is on the evening of Wednesday 26 November in the Melbourne Building at 6.15 pm. Keep an eye on your CIT Blackboard and email for the latest and definitive assessment information.

Tutorials

  • Group A with Mr. Adrian O’Connor: Wednesday 09:00 in B187 and Thursday 09:00 in B185
  • Group B with myself: Monday 12:00 in F1. 3 and Thursday 12:00 in B165

Self-Study

If you go to

Blackboard -> MATH6000 -> Content -> Numbas Tests,

you will find plenty of online tests developed by Mr. Pat Ahern. Give them a try if you are at a computer!

Please feel free to ask me questions about the exercises via email or even better on this webpage.

Student Resources

Student Resources are now collated at the Student Resources tab on the top of this page.

MATH6000: Week 7

October 29, 2014 in MATH6000 | Leave a comment

I am emailing a link of this to everyone on the class list every week. If you are not receiving these emails or want to have them sent to another email address feel free to email me at jpmccarthymaths@gmail.com and I will add you to the mailing list.

Assessment 3

Assessment 2 is on this evening Wednesday 12 November in the Melbourne Building at 6.15 pm. Keep an eye on your CIT Blackboard and email for the latest and definitive assessment information.

Week 7

In Week 7 we looked at quadratic functions in more detail and looked at simultaneous equations.

Week 8

In Week 8 we will study finish talking about simultaneous equations and begin to talk about functions. We should finish Chapter 2 on Algebra (which is the Assessment 3 material) and start Chapter 3 on Indices and Logs (which is the Assessment 4 material).

Assessment 4

Assessment 4 is on the evening of Wednesday 26 November in the Melbourne Building at 6.15 pm. Keep an eye on your CIT Blackboard and email for the latest and definitive assessment information.

Tutorials

  • Group A with Mr. Adrian O’Connor: Wednesday 09:00 in B187 and Thursday 09:00 in B185
  • Group B with myself: Monday 12:00 in F1. 3 and Thursday 12:00 in B165

Self-Study

If you go to

Blackboard -> MATH6000 -> Content -> Numbas Tests,

you will find plenty of online tests developed by Mr. Pat Ahern. Give them a try if you are at a computer!

Please feel free to ask me questions about the exercises via email or even better on this webpage.

Student Resources

Student Resources are now collated at the Student Resources tab on the top of this page.

MATH6000: Week 6

October 22, 2014 in MATH6000 | Leave a comment

I am emailing a link of this to everyone on the class list every week. If you are not receiving these emails or want to have them sent to another email address feel free to email me at jpmccarthymaths@gmail.com and I will add you to the mailing list.

Assessment 2

Assessment 2 is on this evening Wednesday 22 October in the Melbourne Building at 6.15 pm. However you should aim to arrive at around 6.05 p.m. Keep an eye on your CIT Blackboard and email for the latest and definitive assessment information.

Week 6

In Week 6 we spoke about equations and have started considering quadratic equations.

Week 7

In Week 7 we will study quadratic functions in more detail and perhaps begin talking about simultaneous equations.

Assessment 3

Assessment 3 is on the evening of Wednesday 12 November in the Melbourne Building at 6.15 pm. However you should aim to arrive at around 6.05 p.m. Keep an eye on your CIT Blackboard and email for the latest and definitive assessment information.

Tutorials

  • Group A with Mr. Adrian O’Connor: Wednesday 09:00 in B187 and Thursday 09:00 in B185
  • Group B with myself: Monday 12:00 in F1. 3 and Thursday 12:00 in B165

Self-Study

If you go to

Blackboard -> MATH6000 -> Content -> Numbas Tests,

you will find plenty of online tests developed by Mr. Pat Ahern. Give them a try if you are at a computer!

Please feel free to ask me questions about the exercises via email or even better on this webpage.

Student Resources

Student Resources are now collated at the Student Resources tab on the top of this page.

MATH6000: Week 5

October 15, 2014 in MATH6000 | Leave a comment

I am emailing a link of this to everyone on the class list every week. If you are not receiving these emails or want to have them sent to another email address feel free to email me at jpmccarthymaths@gmail.com and I will add you to the mailing list.

Assessment 2

Assessment 2 is on ‘next’ Wednesday 22 October in the Melbourne Building at 6.15 pm. However you should aim to arrive at around 6.05 p.m. Keep an eye on your CIT Blackboard and email for the latest and definitive assessment information.

Week 5

In Week 5 we finished statistics and started the long chapter on algebra.

Week 6

In Week 6 we will start talking about equations.

Tutorials

  • Group A with Mr. Adrian O’Connor: Wednesday 09:00 in B187 and Thursday 09:00 in B185
  • Group B with myself: Monday 12:00 in F1. 3 and Thursday 12:00 in B165

Self-Study

If you go to

Blackboard -> MATH6000 -> Content -> Numbas Tests,

you will find plenty of online tests developed by Mr. Pat Ahern. Give them a try if you are at a computer!

Please feel free to ask me questions about the exercises via email or even better on this webpage.

Student Resources

Student Resources are now collated at the Student Resources tab on the top of this page.

MATH6000: Week 4

October 8, 2014 in MATH6000 | Leave a comment

I am emailing a link of this to everyone on the class list every week. If you are not receiving these emails or want to have them sent to another email address feel free to email me at jpmccarthymaths@gmail.com and I will add you to the mailing list.

Assessment 1

Assessment 1 is on this Wednesday 8 October in the Melbourne Building at 6.15 pm. However you should aim to arrive at around 6.05 p.m. Keep an eye on your CIT Blackboard and email for the latest and definitive assessment information.

Man-Hours Problem

A problem similar to the following will appear on Assessment 1 but was not covered in lectures:

If it takes five men two hours to do a job, how long will it take eight men to do the same job.

I recommend that you think of this problem as follows.

  • If it takes five men, two hours to the job then you have 5\times 2= a ten hour job on your hands (each of five men worked for two hours so ten hours in total).
  • Now the eight men are dividing the ten hour job into eight parts so it will take them \frac{10}{8}=1.25 hours equals an hour and 15 minutes.

To set this up in more generality, define N=\# men and t=t(N) time taken for N men to the job.

From a above we see that the job, in man hours (or just hours), say J is equal to

J=N\cdot t(N) so that t(N)=\frac{J}{N}.

In this problem we have N=5 and t(5)=2 so we have

J=5\cdot t(5)=5\times2=10,

so that

t(8)=\frac{J}{8}=\frac{10}{8}=1.25\text{ hours}

Week 4

In Week 4 we finished trigonometry, started discussing approximation and began statistics.

Week 5

In Week 4 we will finish statistics and start the long chapter on algebra.

Read the rest of this entry »

MATH6000: Week 3

October 2, 2014 in MATH6000 | Leave a comment

I am emailing a link of this to everyone on the class list every week. If you are not receiving these emails or want to have them sent to another email address feel free to email me at jpmccarthymaths@gmail.com and I will add you to the mailing list.

Assessment 1

Assessment 1 is on this Wednesday in the Melbourne Building at 6.15 pm. However you should aim to arrive at around 6.05 p.m. Keep an eye on your CIT Blackboard and email for the latest and definitive assessment information.

Man-Hours Problem

A problem similar to the following will appear on Assessment 1 but was not covered in lectures:

If it takes five men two hours to do a job, how long will it take eight men to do the same job.

I recommend that you think of this problem as follows.

  • If it takes five men, two hours to the job then you have 5\times 2= a ten hour job on your hands (each of five men worked for two hours so ten hours in total).
  • Now the eight men are dividing the ten hour job into eight parts so it will take them \frac{10}{8}=1.25 hours equals an hour and 15 minutes.

To set this up in more generality, define N=\# men and t=t(N) time taken for N men to the job.

From a above we see that the job, in man hours (or just hours), say J is equal to

J=N\cdot t(N) so that t(N)=\frac{J}{N}.

In this problem we have N=5 and t(5)=2 so we have

J=5\cdot t(5)=5\times2=10,

so that

t(8)=\frac{J}{8}=\frac{10}{8}=1.25\text{ hours}

Week 3

In Week 3 we finished looking at Tax & Interest and this concluded our study for Assessment 1. After this we looked at some geometry and trigonometry.

Week 4

In Week 4 we will finish trigonometry and start discussing approximation and perhaps statistics.

Read the rest of this entry »