Homework will be posted here
Homework 1: Due Tuesday, 5 February
Section 1.1.3, #1 a,b; #2 a,c,f; #3 b
Section 1.2.3 #2,#4,#7
#7 from A list of revision questions
(this is a total of 10 problems).
If you need a hint for Section 1.2.3, number 7, here is one: let A be a set and suppose
that the power set of A has cardinality less than or equal to |A|. Then there must be
an injection f: P(A) ---> A. Let S be the subset of A consisting of those x in A such
that the inverse image of {x} under f is nonempty, and x does not lie in this inverse
image. Now let y=f(S) and carry on from here.
Homework 2: Due Tuesday, 12 February
Handed out in class; also available here as a pdf file.
Homework 3: Due Thursday, 21 February (note the change of date!)
Available here as a pdf file.
Homework 4: Due Thursday, 28 February.
Available here as a pdf file.
Homework 5: Due Thursday 6 March.
Available here as a pdf file.
Homework 6: Due Thursday 27 March.
Available here as a pdf file.
TYPO! The heading should read "Problem set 6", not "5"!
Hint for q6: it is intended that you solve this problem using the intermediate value theorem.
Let f(t) be the distance between Brother Albert and A at time t on the first day and let g(t) be the distance between Brother Albert and A at time t on the second day. You should be able to solve the problem by applying the intermediate value theorem to a suitable combination of f and g.
Homework 7: Due Thursday 3 April.
Available here as a pdf file.
Homework 8: Due Thursday 24 April.
Available here as a pdf file.
Practice Prelim 1 and Solutions.
Prelim 1 and Solutions.
Prelim 2.
Final and Solutions.