You mean Linear Algebra with matrices, orthogonality and basis or:
Algebra with x + 1 = 2 -> solve for x
Well, on my major we have only one term of algebra so it is more like 'as many as you can mention on 15 classes'.
On the exam I had five tasks:
- factor a complex polynomial (z+1/64=0)
- find when do simultaneous linear equations have one solution/no solutions/ infinitely many solutions according to the parameter with Kronecker-Capelli theorem
- find a circle described by the given sphere (ax^2+by^2+cz^2+d=0) and the plane (ax+by+cz+d=0)
- check how are the line (given with parametric equations) and the plane related and project the line to the plane
- find the torsion, osculating plane and osculating vector of the curve r(t)=[f(t),g(t),h(t)] in the point (a,b,c)
The curve in the 5th task was described with defined functions and we had numbers for a, b, c and d but I don't remember them.