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:
essential
derivatives,
trigonometry review.
LaTeX:
getting
started;
Sage:
getting
started.
Math 111 study sessions: Monday and Thursday, 6–7pm, L204.
General drop-in tutoring: SMTWTh, 7–9 pm, L389.
Midterm exam: There was a one-hour, closed-book, in-class midterm exam
Monday, October 9:
Review sheet,
solutions.
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).
Week 4
☛ 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).
solutions: H04Tsol).
☛ 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 of 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:
H04F
(tex file: H04F.tex,
solutions: H04Fsol
).
Week 5
☛ Monday ☚
Chain rule.
Homework due Monday
- Reading: Section 2.4. Also, see the essential derivatives
handout.
- Practice problems:
- Section 2.4: 7, 11, 25, 41, 43, 75.
- Turn in by 2 pm on Tuesday in the folder outside my office: H05T
(tex file: H05T.tex
solutions: H05Tsol).
☛ Wednesday ☚
Trigonometry review. Implicit functions, and related rates.
Homework due Wednesday
- Reading: Sections 2.5 and 2.6. For related rates problems, make sure
to look at the "Guidelines" on page 150 of our text.
Trigonometry review sheet.
- Practice problems:
- Section 2.5: Work the examples in the reading.
- Section 2.6: 13, 15, 19, 25.
☛ Friday ☚
Related rates.
Homework due Friday
- Reading: Section 2.6
- Practice problems:
- Section 2.6: Work through the examples in the reading.
- Turn in:
H05F
(tex file: H05F.tex,
solutions: H05Fsol
).
Week 6
☛ Monday ☚
Related rates examples.
Homework due Monday
- Reading: Section 2.6.
- Practice problems:
- Section 2.6: Work through the examples in the reading.
- Turn in by 2 pm on Tuesday in the folder outside my office:
H06T
(tex file: H06T.tex,
solutions: H06Tsol).
☛ Wednesday ☚
Optimization.
Homework due Wednesday
- Reading: Sections 3.1 and 3.7.
- Practice problems:
☛ Friday ☚
Optimization.
Homework due Friday
- Recall that we have an in-class midterm on Monday. (The review sheet
appears at the top of this webpage.) There will be no
homework due on Tuesday next week.
- Reading: Sections 3.1 and 3.7.
- Practice problems:
- Turn in:
H06F
(tex file: H06F.tex,
solutions: H06Fsol).
Week 7
☛ Monday ☚
Midterm:
Review
sheet.
Solutions.
Note: There is no homework due this Tuesday.
☛ Wednesday ☚
Optimization.
Homework due Wednesday
- Reading: Sections 3.1 and 3.7.
- Practice problems:
☛ Friday ☚
Optimization.
Homework due Friday
- Reading: Sections 3.1 and 3.7.
- Practice problems:
- Turn in:
H07F (tex file: H07F.tex
solutions: H07Fsol).
Week 8
☛ Monday ☚
Curve sketching; second derivative test.
Homework due Monday
- Reading: Section 3.6.
- Practice problems:
- Examples from reading.
- Section 3.6: 1, 2, 3, 4, 7, 9.
- Turn in by 2 pm on Tuesday in the folder outside my office:
H08T
(tex file: H08T.tex
solutions: H08Tsol).
☛ Wednesday ☚
Least upper bounds, greatest lower bounds. Estimating areas.
Homework due Wednesday
- Reading: Lecture notes.
- Practice problems: None.
☛ Friday ☚
Definition of the integral.
Homework due Friday
- Reading: Section 4.3.
- Practice problems:
- Turn in:
H08F (tex file: H08F.tex
solutions: H08Fsol).
Week 9
☛ Monday ☚
Definition of the integral.
Homework due Monday
- Reading: Lecture notes; Section 4.2 of our text.
- Practice problems:
- Turn in by 2 pm on Tuesday in the folder outside my office:
H09T
(tex file: H09T.tex
solutions: H09Tsol).
☛ Wednesday ☚
Definition of the integral. Some first examples.
Homework due Wednesday
- Reading: lecture notes.
- Practice problems:
☛ Friday ☚
Definition of the integral, continued.
Homework due Friday
- Reading: Wednesday's lecture notes.
- Practice problems:
- Turn in:
H09F (tex file: H09F.tex
solutions: H09Fsol.)
Week 10
☛ Monday ☚
The fundamental theorem of calculus.
Homework due Monday
- Reading: Section 4.4 and the lecture notes.
- Practice problems:
- Turn in by 2 pm on Tuesday in the folder outside my office:
H10T
(tex file: H10T.tex
solutions: H10Tsol).
☛ Wednesday ☚
Properties of the integral. Integration practice.
Homework due Wednesday
- Reading: Sections 4.3.
- Practice problems:
☛ Friday ☚
Integration by substitution. Integration by parts.
Homework due Friday
- Reading: Sections 4.5 and 8.2.
- Practice problems:
- Turn in:
H10F (tex file: H10F.tex
solutions: H10Fsol).
Week 10
☛ Monday ☚
Finish integration by parts. The logarithm.
Homework due Monday
- Reading: Lecture notes and Section 5.1.
- Practice problems:
- Turn in by 2 pm on Tuesday in the folder outside my office:
H11T
(tex file: H11T.tex
solutions: H11Tsol).
☛ Wednesday ☚
More logarithms.
Homework due Wednesday
- Reading: Lecture notes.
- Practice problems:
☛ Friday ☚
The inverse function theorem and the exponential function. Exponentiation, in
general.
Homework due Friday
- Reading: Lecture notes.
- Practice problems:
- Turn in:
H11F (tex file: H11F.tex
solutions: H11Fsol).