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 a take-home exam during the tenth week.
  • This week
    ☛ Monday ☚
    TBA
    Homework due Monday
    • Reading: TBA
    • Turn in by 2 pm on Tuesday in the folder outside my office: H06T (tex file: H06T.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).
    Week 5
    ☛ Monday ☚
    More implications of field axioms. Order axioms.
    Homework due Monday
    • Reading: Finish reading section 2.6.
    • Turn in by 2 pm on Tuesday in the folder outside my office: H05T (tex file: H05T.tex).
    ☛ Wednesday ☚
    Absolute value. Completeness.
    Homework due Wednesday
    • Reading: Section 2.7.
    ☛ Friday ☚
    Midterm.
    Homework due Friday
    • Reading: None
    • Turn in: No homework this Friday.