Math 112

Spring 2018
Instructor: David Perkinson (schedule)
General info: Course description, office hours, grading, etc.
Text: Introduction to Analysis, by Irena Swanson
Handouts: mathematical writing, complete ordered field axioms.
LaTeX: getting started
Homework solutions: course Moodle page

Midterm exams: We will have an in-class midterm during the fifth week of classes and a take-home exam during the tenth.
This week
☛ Monday ☚
TBA
Homework due Monday
  • Reading: TBA
  • Turn in by 2 pm on Tuesday in the folder outside my office: H05T (tex file: H05T.tex).
☛Wednesday☚
TBA
Homework due Wednesday
  • Reading: TBA
☛ Friday ☚
TBA
Homework due Friday
  • Reading: TBA
  • Turn in: TBA

Previous classes

Week 1
☛ Monday ☚
Introduction. Proof by induction.

☛ Wednesday ☚
More induction.
Homework due Wednesday
  • Skim sections 1.1–1.3.
  • Read section 1.4 and section 1.5 through page 38.
  • Write a solution to exercise 1.5.1 in a form suitable to be handed in (it will not be collected, though).
☛ Friday ☚
Sets.
Homework due Friday
Week 2
☛ Monday ☚
More sets. Cartesian products.
Homework due Monday
  • Relevant reading: Sections 2.1 and 2.2.
  • Turn in by 2 pm on Tuesday in the folder outside my office: H02T (tex file: H02T.tex).
☛ Wednesday ☚
Relations and equivalence relations. (See the mathematical writing handout for a template for proving a given relation is an equivalence relation.)
Homework due Wednesday
  • Relevant reading: Section 2.3.
☛ Friday ☚
Equivalence classes. Modular arithmetic. Functions.
Homework due Friday
  • Relevant reading: Section 2.4.
  • Turn in: H02F (tex file: H02F.tex).
Week 3
☛ Monday ☚
Functions.
Homework due Monday
  • Reading: Finish reading Section 2.4.
  • Turn in by 2 pm on Tuesday in the folder outside my office: H03T (tex file: H03T.tex.)
☛ Wednesday ☚
Injectivity, surjectivity, bijectivity. Functions acting on sets.
Homework due Wednesday
  • Reading: Start reading Section 2.5 in preparation for Friday.
☛ Friday ☚
Compositions and inverse functions.
Homework due Friday
  • Reading: Sections 2.5 and 2.6.
  • Turn in: H03F (tex file: H03F.tex).
Week 4
☛ Monday ☚
Field axioms. Modular arithmetic.
Homework due Monday
  • Reading: Read the first page of our handout on the complete ordered field axioms. Finish reading Section 2.5, and start Section 2.6.
  • Turn in by 2 pm on Tuesday in the folder outside my office: H04T (tex file: H04T.tex).
☛ Wednesday ☚
More modular arithmetic. Begin field properties.
Homework due Wednesday
  • Reading: Sections 2.5 and 2.6.
☛ Friday ☚
More field properties.
Homework due Friday
  • Reading: Finish reading Section 2.6.
  • Turn in: H04F (tex file: H04F.tex).