Math 22 Summer 2017: RESOURCES
Basics of proofs:
on several proof methods but not proof by example
(on p.2 the "minus sign with downtick on it's right end" symbol means
logical negation, ie "not the statement")
on good writing and various proof methods
Scott LaLonde's notes on
contradiction and induction
Introductions to proofs that go way beyond this course but could be useful
as long as you don't let them intimidate you:
Applets showing the geometric effect of T(x)=Ax where
A is a 2x2 matrix:
Transformation of a
vector (red vector x
can be dragged, the result Ax is shown in
grey, the matrix A sits at the top
of the screen with its entries given by slider-bars i.e.
Transformation of the
lines (showing span of
the columns of A).
Review of theory results for abstract vector spaces.
Eigenvalue and eigenvector applets for 2x2 matrices:
(note the x-coord is plotted negated in the right-side plot!).
Gram-Schmidt orthogonalization process
(slides from Steven Leon et al).
Our Midterm 1 (solutions with grading rubric).
Our Midterm2 (solutions with grading rubric).
Please keep in mind that the exam topics in the midterms and final may vary.
Ask your instructor if you're unsure whether an old exam question is relevant.
See bottom of this page.