Lecture notes

• Notes 1: Overview and revision
• Notes 2: Algebraic numbers
• Notes 3: Finite continued fractions
• Notes 4: Infinite continued fractions
• Notes 5: Periodic continued fractions
• Notes 6: Lagrange and Pell
• Notes 7: Modular arithmetic
• Notes 8: Quadratic residues and non-residues
• Notes 9: Sums of squares
• Notes 10: Quadratic forms

Coursework

• Coursework 0 (not for assessment)
• Coursework 1 (due 18 January) and solutions
• Coursework 2 (due 25 January) and solutions
• Coursework 3 (due 1 February--note the earlier deadline of 2pm! We were forced to move the deadline in order to organise marking) solutions
• Coursework 4 (due 8 February, 2pm) solutions
• Coursework 5 (due 15 February, 2pm) solutions
• Coursework 6 (due 1 March, 2pm) solutions
• Coursework 7 (due 8 March, 2pm) solutions
• Coursework 8 (due 15 March, 2pm) solutions
• Coursework 9 (due 22 March, 2pm) solutions
• Coursework 10 (not for assessment, for discussion on 28 March) solutions

Resources

Here is a set of revision problems covering the whole course.

Some recent exam papers: 2009, 2010, 2011.

Here are some lecture notes for Introduction to Algebra, a prerequisite for this course. If you feel unsure about proof by induction, the definition of a group, or the relation of congruence, you may find some help in these notes.

Here is some advice about study (lectures, coursework, classes, and exams).

Here are links to some Theorems of the Day on number theory. You may have seen some of these on the screens in the Mathematics building. You might also like to read about the Congruent Numbers problem here.

Ivan Tomasic
Maths G55
x5483