Math 111

Fall 2017, Section 04
Instructor: David Perkinson (schedule)
General info: Course description, office hours, grading, etc.
Text: Calculus of a Single Variable, 8th Edition Larson, Hostetler, and Edwards, available at the bookstore. The book is on reserve in the library.
Handouts: To come.
LaTeX: getting started; Sage: getting started.

General drop-in tutoring: SMTWTh, 7–9 pm, L389.

This week
☛ Monday ☚
Definition of the derivative.
Homework due Monday
  • Reading: Section 2.1.
  • Practice problems:
    • Section 2.1: 3, 7, 11–23 (odds), 37, 39, 55, 93, 99, 101.
  • Turn in by 2 pm on Tuesday in the folder outside my office: H04T (tex file: H04T.tex).

☛Wednesday☚
Instantaneous change, tangent lines; first properties of derivatives.
Homework due Wednesday
  • Reading: Section 2.2.
  • Practice problems:
    • Section 2.2: 3–23, 39–49, 53, 67, 74.
☛ Friday ☚
Proof fo derivative theorem.
Homework due Friday
  • Reading: Section 2.3.
  • Practice problems:
    • Section 2.2: 3, 7, 13, 39.
    • Section 2.3: 1, 7, 13, 16, 19, 63.
  • Turn in: TBA

Previous classes

Week 1
☛ Monday ☚
Introduction: derivatives, integrals, and the fundamental theorem.

☛ Wednesday ☚
Average speed, instantaneous speed. Definition of the limit.
Homework due Wednesday
  • Reading: Sections 1.1 and 1.2.
  • Practice problems (Note: I will never collect the practice problems.):
    • Section 1.1: 7, 9.
    • Section 1.2: 1, 3, 9, 11, 13, 15, 17.
☛ Friday ☚
Limits.
Homework due Friday
  • Reading: Section 1.2, especially p. 54.
  • Practice problems:
    • Section 1.2: 23, 31, 33, 39, 41.
  • Turn in: No homework to turn in this week. (I had planned to have homework, but was not able to cover enough material in class by Wednesday. Please use the extra time to do the reading assignments and attempt the practice problems!)
Week 2
☛ Monday ☚
No class: Labor day.

☛ Wednesday ☚
Limit theorems.
Homework due Wednesday
  • Reading: Section 1.3.
  • Practice problems:
    • Section 1.3: 5, 7, 9, 13, 15, 23, 37, 41, 43, 49, 51, 53.
☛ Friday ☚
Limit theorems; continuity; variations on the definition of a limit.
Homework due Friday
  • Reading: Same as for Wednesday.
  • Practice problems:
    • Same as for Wednesday.
  • Turn in: H2F (tex file: H2F.tex, solutions: H2Fsol).
Week 3
☛ Monday ☚
Limit theorem proof; cancellation trick; rationalization trick.
Homework due Monday
  • Reading: Section 1.3, pp. 50–66.
  • Practice problems:
    • Section 1.3: 55, 59, 63, 113, 115, 117.
  • Turn in by 2 pm on Tuesday in the folder outside my office: H3T (tex file: H3T.tex, solutions: H3Tsol).

☛ Wednesday ☚
Continuity, compositions of continuous functions.
Homework due Wednesday
  • Reading: Section 1.4, pp. 70–76.
  • Practice problems:
    • Section 1.4: 1, 3, 5, 33, 35, 37, 39, 41, 57, 59, 61, 63.
☛ Friday ☚
Variations on the definition of the limit. The intermediate value theorem.
Homework due Friday
  • Reading: Section 1.4–1.5.
  • Practice problems:
    • Section 1.4: 99, 101.
    • Section 1.5: 33, 35, 41, 43.
  • Turn in: H3F (tex file: H3F.tex, solutions: H3Fsol).