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Mathematics Exam Advice

  • The first piece of advice is to read questions carefully. Don’t glance at a question and go off writing: take a moment to understand what you have been asked to do.
  • Don’t use tippex; instead draw a simple line(s) through work that you think is incorrect. 
  • For equations, check your solution by substituting your solution into the original equation. If your answer is wrong and you know it is wrong: write that on your script.

If you do have time at the end of the exam, go through each of your answers and ask yourself:

  1. have I answered the question that was asked?
  2. does my answer make sense?
  3. check your answer (e.g. differentiate/antidifferentiate an antiderivative/derivative, substitute your solution into equations, check your answer against a rough estimate, or what a picture is telling you, etc)

Student Feedback

You are invited to give your feedback on my teaching and this module here.

CA Results

Have been emailed out, with comments.

Week 12

On Monday and Tuesday we had extra tutorials: you were invited to either work on integration and/or matrices; the choice was up to you.

On Thursday we finished off the module by doing an extra example of a centre of gravity of a solid of revolution. We had tutorial time after that.

Week 13

There is an exam paper at the back of your notes — I will go through this on the board in the lecture times (in the usual venues):

  • Monday 16:00
  • Tuesday 09:00
  • Thursday 09:00

We will also have tutorial time in the tutorial slots. You can come to as many tutorials as you like.

  • Monday at 09:00 in E15
  • Monday at 17:00 in B189
  • Thursday at 12:00 in E4

Past exam papers (MATH6040 runs in Semester 1 and Semester 2) may be found here.

Recall that this module is MATH6040: Technological Maths 201 and not MATH6015: Technological Maths 2.

Study

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

Student Resources

Please see the Student Resources tab on the top of this page for information on the Academic Learning Centre, past exam papers, etc.

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Student Feedback

You are invited to give your feedback on my teaching and this module here.

Test 2 Results

Will be sent out tomorrow afternoon along with some comments.

Week 11

We had Test 2 on Monday.

On Tuesday we had a tutorial, doing some revision exercises for antidifferentiation and integration (Q. 5 should be +400 J, Q. 9 should be 3e-3).

On Thursday we looked at centres of gravity of solids of revolution.

Week 12

On Monday and Tuesday we will have extra tutorials: you will be invited to either work on integration and/or matrices; the choice will be up to you.

On Thursday we will finish off the module by doing an extra example of a centre of gravity of a solid of revolution.

Week 13

There is an exam paper at the back of your notes — I will go through this on the board in the lecture times (in the usual venues):

  • Monday 16:00
  • Tuesday 09:00
  • Thursday 09:00

We will also have tutorial time in the tutorial slots. You can come to as many tutorials as you like.

  • Monday at 09:00 in E15
  • Monday at 17:00 in B189
  • Thursday at 12:00 in E4

Study

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

Student Resources

Please see the Student Resources tab on the top of this page for information on past exam papers, Academic Learning Centre, etc.

Test 2

The 15% Test 2 will take place at 16:00 on Monday 26 November, Week 11, in B263. There is a sample test in the notes, p.146. Chapter 3: Differentiation is going to be examined. A Summary of Differentiation (p.144): you will want to know this stuff very well. You will be given a copy of these tables

I strongly advise you that attending tutorials alone will not be sufficient preparation for this test and you will have to devote extra time outside classes to study aka do exercises.

Week 10

We looked at completing the squarework and centroids.

A good revision of integration/antidifferentiation may be found here.

Week 11

We have our test on Monday.

On Tuesday we will have a tutorial for a lecture. Those who are not strong on antidifferentiation will be given revision exercises from MATH6015.

On Thursday we will look at centres of gravity of solids of revolution.

Week 12

On Monday and Tuesday we will have extra tutorials: you will be invited to either work on integration and/or matrices; the choice will be up to you.

On Thursday we will finish off the module by doing an extra example of a centre of gravity of a solid of revolution.

Week 13

There is an exam paper at the back of your notes — I will go through this on the board in the lecture times (in the usual venues):

  • Monday 16:00
  • Tuesday 09:00
  • Thursday 09:00

We will also have tutorial time in the tutorial slots. You can come to as many tutorials as you like.

  • Monday at 09:00 in E15
  • Monday at 17:00 in B189
  • Thursday at 12:00 in E4

Study

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

Student Resources

Please see the Student Resources tab on the top of this page for information on the Academic Learning Centre, etc.

Test 2

The 15% Test 2 will take place at 16:00 on Monday 26 November, Week 11, in B263. There is a sample test in the notes, p.146. Chapter 3: Differentiation is going to be examined. A Summary of Differentiation (p.144): you will want to know this stuff very well. You will be given a copy of these tables

I strongly advise you that attending tutorials alone will not be sufficient preparation for this test and you will have to devote extra time outside classes to study aka do exercises.

Week 9

We looked at applications of partial differentiation to differentials and error analysis. We started Chapter 4 on (Further) Integration by looking at Integration by Parts.

A good revision of integration/antidifferentiation may be found here.

Week 10

We will look at completing the square and work.

Study

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

Student Resources

Please see the Student Resources tab on the top of this page for information on the Academic Learning Centre, etc.

Test 2

The 15% Test 2 will take place at 16:00 on Monday 26 October, Week 11, in B263. There is a sample test in the notes, p.146. Chapter 3: Differentiation is going to be examined. A Summary of Vectors (p.144): you will want to know this stuff very well. You will be given a copy of these tables

I strongly advise you that attending tutorials alone will not be sufficient preparation for this test and you will have to devote extra time outside classes to study aka do exercises.

Week 8

We looked at Implicit Differentiation and Partial Differentiation. If you are interested in a very “mathsy” approach to curves you can look at this.

Week 9

We will look at applications of partial differentiation to differentials and error analysis. We might start Chapter 4 on (Further) Integration. A good revision of integration/antidifferentiation may be found here.

Study

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

Student Resources

Please see the Student Resources tab on the top of this page for information on the Academic Learning Centre, etc.

This strategy is by no means optimal nor exhaustive. It is for students who are struggling with basic integration and anti-differentiation and need something to help them start calculating straightforward integrals and finding anti-derivatives. 

TL;DR: The strategy to antidifferentiate a function f that I present is as follows:

  1. Direct
  2. Manipulation
  3. u-Substitution
  4. Parts

Read the rest of this entry »

Week 7

We looked at Parametric Differentiation and Related Rates

Week 8

We will look at Implicit Differentiation and Partial Differentiation. If you are interested in a very “mathsy” approach to curves you can look at this.

Test 2

On Chapter 3, not until Week 11: perhaps Monday 26 November.

Study

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

Student Resources

Please see the Student Resources tab on the top of this page for information on the Academic Learning Centre, etc.

Test 1 Results

Have been emailed to you. I will have your scripts with me in tutorials.

Room Change

BioEng2A’s tutorial on Thursdays has been moved to E4.

Reading Break, etc.

Classes will be going full steam ahead on Monday and Tuesday 22/23 October as well as Thursday 1 November. I will class the next two weeks by Week 7.

Week 6

We finished Chapter 2 by looking at Cramer’s Rule and then we started Chapter 3 with a quick review of differentiation and linear operators.

I actually have videos from last year if you missed some classes from Week 6:

Week 7

Over 22 October – 2 November we have three lectures and one tutorial each, as normal.

We will start looking at Parametric Differentiation and then look at related rates.

Test 2

On Chapter 3, not until Week 11 or early Week 12.

Study

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

Student Resources

Please see the Student Resources tab on the top of this page for information on the Academic Learning Centre, etc.

The Lee Fields Medal — CIT Maths Challenge

Maths Competition on next Wednesday with cash prizes. Poster below.

posterimage.jpg

Week 5

We looked at linear systemsdeterminants, and Cramer’s Rule.

Week 6

We will finish looking at Cramer’s Rule and then we will start Chapter 3 with a quick review of differentiation followed by looking at Parametric Differentiation.

Test 1

The 15% Test 1 will take place at 16:00 on Monday 15 October, Week 6, in B263. There is a sample test in the notes, p.44. Chapter 1: Vectors is going to be examined. A Summary of Vectors (p.40): you will want to know this stuff very well.

Test 2

On Chapter 3, not until Week 11 or early Week 12.

Study

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

Student Resources

Please see the Student Resources tab on the top of this page for information on the Academic Learning Centre, etc.

Your timetable is wrong in the naming of this module. MATH6040 is Technological Maths 201 and not Technological Maths 2. You did Technological Maths 2: MATH6015, last year.

Week 4

We finished looking at the applications of vectors to work and moments and began Chapter 2: Matrices. We did some examples of matrix arithmetic and looked at Matrix Inverses — “dividing” for Matrices. This will allow us to solve matrix equations. Here find a note that answers the question: why do we multiply matrices like we do?

Week 5

We will look at linear systems, and determinants.

Test 1

The 15% Test 1 will take place at 16:00 on 15 October, Week 6, in B263. There is a sample test in the notes. Chapter 1: Vectors is going to be examined.

Study

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

Student Resources

Please see the Student Resources tab on the top of this page for information on the Academic Learning Centre, etc.

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