#
Course 2BA1 - Mathematics

## Lecture Notes for the Academic Year 2008-09

The course includes the following sections (together with other material
not yet available in final form online):-

- Section 1: The Principle of Mathematical Induction
[PDF]
- Section 2: Sets and functions
[PDF]
- Section 3: Graph Theory
[PDF]
- Section 4: Abstract Algebra
[PDF]
- Section 5: Formal Languages
[PDF]
- Section 6: Vectors
[PDF]
- Section 7: Quaternions and Rotations
[PDF]
- Section 8: Introduction to Number Theory and Cryptography
[PDF]
- Section 9: Differential Equations
[PDF]
- Section 10: Trigonometric Identities, Complex Exponentials
and Periodic Sequences
[PDF]
- Section 11: Periodic Functions and Fourier Series
[PDF]

## Assignments in the Academic Year 2008-09

Students are required to complete the following assignments:---

- Assignment 1 [PDF]
- Assignment 2 [PDF]
- Assignment 3 [PDF]

## Other Material for the Academic Year 2008-09

- Worked Solution to Problems concerning Differential Equations and Fourier Series [PDF]
- Supplement concerning Integration by Parts [PDF]

## Lecture Notes for the Academic Year 2007-08

Lecture notes are available for the first semester of 2BA1
in 2007-08 here
(in PDF format)

## Assignments in the Academic Year 2007-08

Students are required to complete the following assignments in the
first semester:-

- Assignment 1 [PDF]
- Assignment 2 [PDF]
- Assignment 3 [PDF]

## Sample Problems in the Academic Year 2007-08

Sample problems concerning mathematical induction [PDF]
Sample problems concerning sets and functions [PDF]
Sample problems concerning formal languages [PDF]
## Lecture Notes for the Academic Year 2006-07

The course consists of the following sections:-

- Section 1: The Principle of Mathematical Induction
[PDF]
- Section 2: Trigonometric and exponential functions
[PDF]
- Section 3: Differential equations
[PDF]
- Section 4: Introduction to Fourier methods
[PDF]
- Section 5: Sets and functions
[PDF]
- Section 6: Vectors
[PDF]
- Section 7: Abstract algebra
[PDF]
- Section 8: Quaternions and rotations
[PDF]
- Section 9: Introduction to number theory and cryptography
[PDF]
- Section 10: Graph theory
[PDF]
- Section 11: Formal languages
[PDF]

## Lecture Notes for the Academic Year 2005-06

The course consisted of the following sections:-

- Section 1: The Principle of Mathematical Induction
[PDF]
- Section 2: Sets and Functions
[PDF]
- Section 3: Graph Theory
[PDF]
- Section 4: Vectors
[PDF]
- Section 5: Abstract Algebra
[PDF]
- Section 6: Formal Languages
[PDF]
- Section 7: Trigonometric and Exponential Functions
[PDF]
- Section 8: Differential Equations
[PDF]
- Section 9: Introduction to Number Theory and Cryptography
[PDF]
- Section 10: Introduction to Fourier Methods
[PDF]

## Assignments in the Academic Year 2006-07

Students were required to complete the following assignments:-

- Assignment 1 [PDF]
- Assignment 2 [PDF]
- Assignment 3 [PDF]

## Assignments in the Academic Year 2005-06

Students were required to complete the following assignments:-

- Assignment 1 [PDF]
- Assignment 2 [PDF]
- Assignment 3 [PDF]

## Assignments in the Academic Year 2004-05

In the academic year 2004-05 students were required to complete the
following assignments:-

- Assignment 1 [PDF]
- Assignment 2 [PDF]
- Assignment 3 [PDF]
- Assignment 4 [PDF]

## Assignments in the Academic Year 2003-04

- Assignment 1 [PDF]
- Assignment 2 [PDF]
- Assignment 3 [PDF]
- Assignment 4 [PDF]

## Assignments in the Academic Year 2002-03

- Assignment 1 [PDF]
- Assignment 2 [PDF]
- Assignment 3 [PDF]
- Assignment 4 [PDF]
- Assignment 5 [PDF]

## Assignments in the Academic Year 2001-02

- Assignment 1 [PDF]
- Assignment 2 [PDF]
- Assignment 3 [PDF]
- Assignment 4 [PDF]
- Assignment 5 [PDF]
- Assignment 6 [PDF]

## Assignments in the Academic Year 2000-01

- Assignment 1 [PDF]
- Assignment 2 [PDF]
- Assignment 3 [PDF]
- Assignment 4 [PDF]
- Assignment 5 [PDF]

## The Seven Bridges of Königsberg

Lecture notes for undergraduate courses

Dr. David R. Wilkins

School of Mathematics,
Trinity College,
Dublin 2, Ireland

`dwilkins@maths.tcd.ie`