Analysis 1B 2017-2018

This is the webpage of analysis 1b. The lectures are on Tuesday at 4pm and Friday at 11 with a problems class on Friday at 12. The office hour will be at Monday 11am (my office is 4.12 in Howard house), if you cannot make that time please free free to email me arrange to see me at another time. They all take place in the Tyndall Lecture Theatre. There will exam drop in session at my office in Friday 11th May from 11am-1pm.

Lecture notes

The lecture notes (written by Roman Schubert) follow on from analysis 1a

Chapter 8 of the lecture notes. (covering unifrom continuity and uniform convergence).
Chapter 9 of the lecture notes. (covering integration).
Chapter 10 of the lecture notes. (covering differentiation and the fundamental theorem of calculus. Added correction from the printed version, the remark between Theorem 10.3 and 10.4 is now labelled remark 10.1)
Chapter 11 of the lecture notes, covering liminf and limsup, absolute convergence and power series.

Homeworks set

Homework will be set each week in the lecture on Friday at 11am.

Friday 26th January: Questions 3,4 and 6 on exercise sheet 1 (solutions for all of exercise sheet 1).
Friday 2nd February: Questions 7, 8 (b),(c) and 10 on exercise sheet 1.
Friday 9th February: Questions 1,2 and 6 on exercise sheet 2 (solutions).
Friday 16th February: Assessed homework week. Here are some additional integration problems for practice/revision (solutions.)
Friday 9th March: Questions 2 (i),(ii),7 and 8 on exercise sheet 4 (solutions).
Friday 16th March: 2nd assessed homework week. Here are some questions on the mean value theorem for practice/revision (solutions.).
Friday 23rd March: Questions 1,3 and 5 on exercise sheet 6 (solutions).
Friday 20th April: Questions 1,4 and 7 on exercise sheet 7 (solutions).
Friday 27th April: Questions 4,5 and 8 on exercise sheet 8 (solutions).

Assessed homework

The assessed homeworks for this unit will be set on the Fridays of week 16 and week 20 (16th February and the 16th March). Both hoemworks will be due to be handed in the following week.

Assessed homework Friday 16th February. This should be handed in with a completed cover sheet by 10am on Friday 23rd February. Solutions (feedback along with a mark distribution is available on BlackBoard).

2nd Assessed homework Friday 16th March. This should be handed in with a completed cover sheet by 10am on Friday 23rd March. Solutions (feedback along with a mark distribution is available on BlackBoard).

Extras

Workshop on integration
Workshop on the integral test

Exams

The past exams for this unit are available from the School of maths webpage, here. In 2014/2015 the material was covered in a slightly different way. Below is a version of the exam adapted to this year's syllabus.

Mock exam ( solutions).