Math 110

can pick up their graded homeworks 1 through 8 outside 1093 Evans.

section 7.3: #1, 2ac, 3ad, 4ad, 8, 9
section 7.4: #1, 2abc, 3ab, 5, 8

section 7.1: #1, 2ac, 3abc, 7
section 7.2: #1(all), 13, 14, 17

section 6.6: #1(all), 2, 3
section 6.7: #1(all), 3ab, 4a, 6ab

section 6.5: #1, 2ae, 5, 10, 15, 21 (shorter because of midterm on Nov 16th)

section 6.3: #1, 2a, 3ab, 6, 9, 10, 12 ,13
section 6.4: #1, 3, 4, 6, 7

I volunteered to photograph the Halloween event at the Department at 3 pm, so office hours will be from 11 am to 3pm. I will also be in my office from 4 to 5 pm.

KEY CONCEPTS:

chapter 4:

determinants, ways to compute them (cofactors, expansions along rows/columns), properties (two identical rows imply determinant 0, det(AB) = det(A)det(B), etc. )

chapter 5:

eigenvalues/eigenvectors, theorems about diagonalizablility, characteristic polynomials, multiplicity of an eigenvalue;
direct sums;
transition matrices, probablity vectors, regular/nonregular matrices, boundaries on eigenvalues (Gerschgorin's disk theorem);
invariant subspaces, cyclic subspaces, Cayley-Hamilton theorem,

chapter 6:

inner products, orthogonality, Gram-Schmidt process, orthogonal complements, orthogonal projections,
adjoint of a linear operator, least squares, normal and self-adjoint operators

PRACTICE PROBLEMS:

Main practice problems are homework problems and topics discussed in the lectures.
To prepare for the midterm and improve your understanding of the class material, I would personally recommend to organize a small study group, where you could together explain each other definitions, theorems, solutions to the problems.

Just reading through the book/lecture notes without solving problems and/or discussing definitions/theorems with your study partners may be deceptive -- one feels that the material is clear, but then on the midterm doesn't know where to start.

section 4.2: #1, 3, 4, 10
section 4.3: #1, 10, 11, 12, 14, 15, 17
section 4.4: #1
section 5.1: #1, 2, 3, 4, 7, 18, 20
section 5.2: #1, 2, 3, 6, 8, 13, 20, 21, 22
section 5.3: #1, 20, 21, 22, 23
section 5.4: #1, 3, 4, 5, 8, 16, 20, 21, 22
section 6.1: #1, 2, 3, 4, 8, 11, 13, 17, 21, 24
section 6.2: #1, 2, 7, 11, 12
section 6.3: #1, 2, 3, 6, 8, 13
section 6.4: #1, 2, 3, 4, 18

section 6.1: #1, 3, 4b, 11, 15
section 6.2: #1, 2c, 4, 6, 7, 9, 10, 19ac, 20ac

Sections 107 and 108 can pick up their graded homeworks #5, 6, 7 outside of 1093 Evans.

Here are solutions to homework assignment 7.

section 5.4: 1(all), 2(ace), 4, 6(all), 13, 18, 19, 20

Here are solutions to homework assignment 6.

section 5.2: #12, 13, 18, 20, 22
section 5.3: #1(all), 2(b,c,i), 8(a,b,e), 20, 21, 23

Luiza will have office hours today from 3 to 7 pm instead of regular 1-5 pm.

Section 5.1: 1, 2ab, 3bc, 4eh, 8, 22a
Section 5.2: 1, 2ace, 3af, 7

on the midterm tomorrow, 8 am, 155 Dwinelle.

Here are solutions to homework assignment 5.