Lecturer Prof Mark V Lawson
Room CM G12
Ext 3210
Email m.v.lawson[at]hw.ac.uk

1. Combinatorics. Sections 3.1, 3.2 (first page only) and 3.9. Main goal: understand and use set notation. 
2. Algebra: complex numbers and polynomials. Sections 4.2, 4.3 and 4.4; Chapter 6; Sections 7.1, 7.2, 7.3, 7.4, 7.5, 7.9. Main goal: understand the nature of the roots of a polynomial. 
3. Matrices. Chapter 8 omitting Section 8.7 and only the characteristic polynomials and their eigenvalues from Section 8.6. Main goal: solve systems of linear equations using EROs. 
4. Vectors. Sections 9.1, 9.2, 9.3, 9.4. Main goal: find the vector equations of lines and planes. 

Week/dates 
Tuesday 11.15 
Thursday 10.15 
Friday 10.15 
Week 1 11 Sept to15 Sept 
BEGINNING OF SECTION 1 1. Lecture 1 
2. Lecture 2 
3. Lecture 3You should attempt 
Week 2 18 Sept to 22 Sept 
4. Lecture 4 
5. Lecture 5 
6. Lecture 6You should attempt END OF SECTION 1 
Week 3 25 Sept to 29 Sept 
BEGINNING OF SECTION 2 7. Lecture 7 No (physical) lecture. I am attending a PhD jury in Sweden (Uppsala). HOWEVER, please ensure you read through the lecture notes above. 
8. Lecture 8

9. Lecture 9You should attempt 
Week 4 2 Oct to 6 Oct 
10. Lecture 10 
11.
Lecture 11 
12. Lecture 12You should attempt 
Week 5 9 Oct to 13 Oct 
13.Lecture 13 
14.
Lecture 14 
15.
Lecture 15You should attemptEND OF SECTION 2 
Week 6 16 Oct to 20 Oct 
16.
BEGINNING OF SECTION 3 Lecture 16 
17. Lecture 17 
18.
Lecture 18You should attempt 
Week 7 23 Oct to 27 Oct 
19.
Lecture 19 
20. Lecture 20 
21.
Lecture 21You should attempt HOMEWORK 1 DUE! 
Week 8 30 Oct to 3 Nov 
22. Lecture 22 END OF SECTION 3 BEGINNING OF SECTION 4 
23.
Lecture 23 
24.
Lecture 24You should attempt 
Week 9 6 Nov to 10 Nov 
25.
Lecture 25 
26. Lecture 26 END OF SECTION 4 
27. Lecture 27 Proofs
You should attempt HOMEWORK 2 DUE! 
Week 10 13 Nov to 17 Nov 
28. Lecture 28 Proofs

29. Lecture 29 Proofs
FIN

30. Catch up on all exercises 
Week
11 20 Nov to 24 Nov 
LAST TUTORIAL 
Homeworks 20%
Homework 1. 
Final
Exam 80%
2017 final exam This has sketch solutions only. For details, see lecture notes. Note that in Question 1(d) I also allowed induction. The goal of this course is to develop an understanding of the ideas and methods of university mathematics that will form the foundation for your further studies, therefore past papers will not be made available for this course. 
Exam
Advice

Time 
Who 
1.15 to
2.15 
AMS
students surnames A to L 
2.15 to
3.15 
AMS
students surnames M to Z 
3.15 to
4.15 
Maths
students surnames A to L (but not F181) BUT All MSAS students 
4.15 to
5.15 
Maths
Students surnames M to Z BUT All F181 Maths with/and CS 
Exercises 1 Warm up exercises 
Exercises 2 Section 1 Basic set theory 
Exercises 3 Section 1 Basic counting 
QUIZ
1 
Exercises 4 Section 2 Basic algebra 
Exercises 5 Section 2 The Binomial theorem 
Exercises 6 Section 2 Complex numbers 
Exercises 7 Section 2 Polynomials 
Exercises 8 Section 3 Matrices 
Exercises 9 Section 3 Matrices 
Exercises 10 Section 4 Vectors 

QUIZ
2 Thought Provoking Questions 
Solutions 1 
Solutions 2 
Solutions 3 
Solutions 
Solutions 4  Solutions 5 
Solutions 6 
Solutions 7 
Solutions 8 
Solutions 9 
Solutions 10 
Solutions 11 
