The course ran from October to December 2014.
Sheet 1
and solutions.
Sheet 2 and solutions.
Sheet 3 and solutions.
Sheet 4
and solutions.
Sheet 5
and solutions.
Sheet 6
and solutions.
Sheet 7
and solutions.
Sheet 8
and solutions.
Sheet 9
and solutions.
[There are 9 sheets in total.]
Here are tests from previous years.
J.B. Fraleigh, A First Course in Abstract Algebra, Addison Wesley
R.. Allenby, Rings, Fields and Groups, Arnold
W. Ledermann, Introduction to Group Theory
I.N. Herstein, Topics in Algebra
For the linear algebra part, you might like to try
S. Lang, Linear Algebra
J. Fraleigh and R. Beauregard, Linear Algebra, Addison Wesley
S. Lipschutz and M. Lipson, Linear Algebra, Schaum Outline Series, McGraw Hill