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:
- 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).