Here is the syllabus.

The book we will be using is Introduction to the Foundations of Applied Mathematics, Mark H. Holmes, Springer, 2019 (2nd edition).

Important: There is a first edition from 2009 but I strongly recommend you get the 2nd edition so that we are all looking at exactly the same thing. In any case the first edition had quite a few mistakes and typos in it which will hopefully have been fixed in the second edition.

ANNOUNCEMENTS:

25/11/22 I hope you all had a great Thanksgiving. I am setting Exercise 4.17 for Monday. It shouldn't take very long but sorry for the short notice.

11/9/22 In class on Wednesday we covered pages 189-197. The homework exercises for Monday are 4.13 abe, 4.14, 4.18, 4.19, 4.20, 4.21.

11/6/22 URGENT: Please respond to the email I sent you on Friday. Monday's office hour and classes will be online but I need to know that you are aware of that fact asap. Watch out for an email with the zoom link for both (even though it will be the same zoom link as we used earlier in the semester).

11/4/22 IMPORTANT: Today's office hours have been cancelled. This is because I have had a Covid contact (I am testing negative). Anyway I will send an email soon once I have decided what to do about Monday's class --- it will probably have to be online but I will confirm that.

In class today we covered the first two pages of Sections 4.3 and 4.4 and the first half page of Section 4.4.2. We will start on Section 4.5 next week. The homework questions for Monday are Exercises 1.16, 4.1, 4.6 and 4.10. I will have an extra but short office hours this Friday from 3-3.30.

10/19/22 The homework questions for Monday are Exercises 3.11a, 3.15, 3.16abc, 3.18. The test next Wednesday will be in the Math Testing Centre again and will cover everything we have done from Chapter 3 upto and including Section 3.5.

10/18/22 In tomorrow's class I will try to cover Sections 3.3.1, 3.3.2, 3.5.3 and hopefully 3.6.

10/01/22 Just an early reminder that the week after next the University will be closed on Monday October 10th and we will have classes on Tuesday October 11th and Wednesday October 12th.

10/01/22 As one of you pointed out there is a mistake in my solution to Exercise 2.12. For the second (O(epsilon^alpha)) term I wrote down u_1`=-u_0+u_0^2 when it should have been u_1`=-u_1+u_0^2. A simple integration using the integrating factor e^tau gives (I hope) the answer u_1 = -e^{-2 tau} -2 tau e^{- tau} + 1.

9/29/22 The homework questions for next Monday are Ecercises 2.23 and 2.32. The second test on October 5th will cover everything we have done from Chapter 2 and will take place in the Math Testing Centre again.

9/22/22 The homework questions for Monday are Exercises 2.1 ado, 2.6, 2.9, 2.12, 2.16 ace.

9/19/22 Just to confirm that today's class will be in-person in the usual room.

9/15/22 Unfortunately, given our discussion of big and little Oh notation and Taylor Series we didn't quite get far enough for me to set homework questions yet. So please use this opportunity to remind yourself about Taylor Series if you haven't already. If you have already then try reading ahead. I hope to get to end of Section 2.2 next week.

9/10/22 I hope you have all read the email I sent to you about this Monday's class and office hours having to be online due to a family issue, and the test on Wednesday being in the Math Testing Center (that will be the routine for all the remaining tests as well but not for the final exam). If you haven't replied to my email yet acknowledging that you got it please do so straight away. The zoom link for the office hours and class on Monday will be the same as for the first class. I will send it to you again by email on Monday morning or you can find it on the course Blackboard page. Also remember to bring a picture ID for the test on Wednesday.

8/31/22 We have now finished Chapter 1. The homework questions for next Wednesday are Exercises 1.13, 1.17, 1.19, 1.24 and 1.28.

8/25/22 The homework questions for Monday are 1.3, 1.4 and 1.6. We will be covering all of the rest of Chapter 1 except for Section 1.3.1.

8/24/22 I have made it back to the US and am confirming that today's class will be in person in Exploratory Hall L111 at 5.55. See you then.