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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

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Student Feedback

If you would like to submit anonymous feedback on this module/lecturer, you may do so here. This link will be open until Friday May 11 2018.

 

Week 12

On Monday we finished the module by looking at triple integrals.

The Wednesday 09:00 lecture will be a tutorial. In this class and your usual tutorial we will look at the P.182, P. 192, P. 163, & P.116 exercises. If these are completed you will be recommended to revise either by trying Chapter 1 & 2 exercises or perhaps by looking at the Summer 2017 paper.

As next Monday is a bank holiday, we will begin the Summer 2017 Paper (in your notes) revision on Thursday.

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Student Feedback

If you would like to submit anonymous feedback on this module/lecturer, you may do so here. This link will be open until Friday May 11 2018.

Assignment 2

Assignment 2 has been corrected and your results emailed to you.

Week 11

We spent three lectures looking at double integrals, in particular their application to second moments of area. We set of integration over a cylinder by looking at polar coordinates.

In the Wednesday tutorial we worked on the p. 163 (primarily) and p. 182 exercises.

Week 12

On Monday we will finish the module by looking at triple integrals.

We will therefore have three tutorials where we will look at the P.182, P. 192, P. 163, & P.116 exercises. If these are completed you will be recommended to revise either by trying Chapter 1 & 2 exercises or perhaps by looking at the Summer 2017 paper.

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Assignment 2

Assignment 2 has a hand-in date of 17:00 23 April: the Monday of Week 11. Assignment 2 is in the manual, P. 149..

Week 10

The Monday lecture was another tutorial on the P.116 exercises. In the Wednesday lectures we worked on systems of differential equations. In the Thursday lecture we worked on systems of differential equations exercises.

In the Wednesday tutorial we continued with the full Laplace Transform questions.

Week 11

In the Monday and Wednesday lectures we will make a start on the final chapter by looking at double integrals.

In the Wednesday tutorial we will work on the p. 163 and p. 182 exercises. This work will continue on Thursday.

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Assignment 2

Assignment 2 has a hand-in date of 17:00 23 April: the Monday of Week 11. Assignment 2 is in the manual, P. 149.

Assignment 1

If you were absent today and want to view your submission next week please email me.

Week 9

We said a few things about damped harmonic oscillators on Monday and the rest of the week was spent working on the p.116 exercises.

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Assignment 1

Results have been emailed to you. I will bring them with me to class in Week 9 and you can have a look at them then.

Assignment 2

Assignment 2 will have a hand-in date of 17:00 23 April: the Monday of Week 11. Assignment 2 is in the manual, P. 149. Once we get someway into the examples on p.105, you should be able to make a start.

Week 8

In our three lectures we drove into Section 3.4 in the hope that if you so wish to do so, you can complete (or almost complete) Assignment 2 over Easter.

Week 9

I will say a few things about damped harmonic oscillators on Monday and the start of Wednesday and then give you some more time to work on exercises.

 

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Assignment 1 — Results

I will try and have these for you by tomorrow. Unfortunately if I don’t have them done by tomorrow it will be Wednesday.

Catch-up Class — Combination of St Patrick’s Day and Wednesday Morning’s Cancelled Lecture

Tuesday 20 March, 13:00 – 14:00 in B212.

Week 7

We started looking at the inverse Laplace transform after looking at partial fractions.

Week 8

In our three lectures we will drive into Section 3.4 in the hope that if you so wish to do so, you can complete (or almost complete) Assignment 2 over Easter. After Easter we should be able to return to two tutorials per week.

Assignment 2

Assignment 2 will have a hand-in date of 17:00 23 April: the Monday of Week 11. Assignment 2 is in the manual, P. 149. Once we get someway into the examples on p.105, you should be able to make a start.

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Week 6

We started looking at “The Engineer’s Transform” — the Laplace Transform. We looked at the first shift theorem, and how the Laplace Transform interacts with differentiation. We started looking at partial fractions.

Week 7

We will continue looking at partial fractions and the inverse Laplace Transform.

Assignment 2

Assignment 2 will have a hand-in date of 17:00 23 April: the Monday of Week 11. Assignment 2 is in the manual, P. 149. Once we get someway into the examples on p.105, you should be able to make a start.

 

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Assignment 1

Due to the weather, Assignment 1 now has a hand-in time and date of 17:30 Monday 5 March (Week 6).

Assignment 2

Assignment 2 will have a hand-in date of 17:00 23 April: the Monday of Week 11. Assignment 2 is in the manual.

Week 5

We finished our study of the method of undetermined coefficients.

Week 6

We will start looking at “The Engineer’s Transform” — the Laplace Transform.

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Assignment 1

Assignment 1 has a hand-in time and date of 14:30 Friday 2 March (Week 5) and has been given out.

Careful in your “collaboration” — don’t take an explanation, etc. from another
student unless it makes sense to you: otherwise you are not going to get the benefit out of completing this assignment.

Week 4

We continued our work on Chapter 2 — the method of undetermined coefficients for solving linear odes — by looking at the case of external forces. We had two tutorials.

Week 5

We will hopefully finish off our work on the method of undetermined coefficients: we will start the second tutorial (Thursday) only when we finish Section 2.4 (what if we know the initial conditions).

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