Math 110 (Fall '12)

Sections 109-110

Course Instructor: David Nadler
Course website: http://math.berkeley.edu/~nadler/110fall2012
GSI: James Tener
Office: 935 Evans
Office hours: Tuesday 3-4, Thursday 3-4, or by appointment
Meeting times:

Section 109: Wednesday, 4-5 in 79 Dwinelle
Section 110: Wednesday, 5-6 in 81 Evans

Homework

Homework is due by 3pm on Fridays. Homework can be turned in to me in person, or placed in my mailbox in 940 Evans (make sure you use the mailbox beneath my name, not the one above it). There will be no exceptions for late homeworks, but you will be able to drop your lowest two homework grades. It is expected that homework problems will be completed using complete sentences, capitalization, punctuation, etc.

Worksheets

Worksheet 1 (solution) - Intro vector spaces and fields; proof techniques.
Worksheet 2 (solution) - Linear independence and spanning sets.
Worksheet 3 (solution) - Linear transformations, subsapces associated to linear transformations.
Worksheet 4 (solution) - Coordinates, matrices of linear transformations.
Worksheet 5 (solution) - Invertible matrices and invertible linear transformations, change of coordinates, dual bases, transpose of a linear transformation.
Worksheet 6 (solution) - Elementary matrices, elementary row and column operations, inverses of linear transformations.
Worksheet 7 (solution) - Systems of linear equations and realted topics.
Worksheet 8 (solution) - Determinants.
Worksheet 9 (solution) - Eigenvectors and diagonalizability.
Worksheet 10 (solution) - Diagonalizability and cyclic subspaces.
Worksheet 11 (solution) - Inner product spaces.
Worksheet 12 (solution) - Adjoints, self-adjoint and normal operators.
Worksheet 13 (solution) - Fun with adjoints!