Math 111 (Calculus I) Daily Schedule, Fall 2017

The following is a tentative syllabus for the course. I will attempt to keep this page current current, but contact me if there is a discrepancy between this and anything announced in class.

Syllabus for Math 111
(Last modified 17 November 2017)
Date  Sections
Topics
Written Homework Due
Practice Problems Due
Notes
Thursday 24 August

The idea of the derivative



Friday 25 August

Picturing Derivatives
#3 and #6 from handout.
25 August Handout, MML







Monday 28 August

Introduction to Maple
#3 from handout, 1.1.21
28 August Handout, MML

Wednesday 30 August

The derivative at a point
Automathography, 1.1.81 b, e, i
MML

Thursday 31 August

The derivative as a function
1.2.32, 1.2.46d, 1.2.72 MML

Friday 1 September

Derivatives graphically
1 September Handout
MML







Monday 4 September

Practice with graphical derivatives
1.3.7, 1.3.34, 1.3.56.
In the last problem, give three
answers: Exact (no decimal
approximation) in terms of
log_5, exact in terms of ln,
and a decimal approximation.
MML

Wednesday 6 September

Antiderivatives graphically
6 September Handout
This assignment is longer than
most. Allow some time!
MML

Thursday 7 September

Review and practice
1.3.73, 1.3.82, 1.4.42.
No calculator (etc) on #42!
MML

Friday 8 September

Second Derivatives
1.4.83.
(Many parts; allow time!)
MML







Monday 11 September

The formal definition of derivative, informally
1.4.58, 1.4.94, Handout #1
11 September Handout
They're not even assigned
as practice, but problems
1.4.98, 1.4.99, and 1.4.105
are just cool and fun. See
me if you want to talk
through any one of them.

Wednesday 13 September
2.2, 2.3
Basic limit ideas
Handout #1, 2, 4
13 September Handout

Thursday 14 September

Midterm #1, material through Friday 8 Sept



Friday 15 September
2.3, 2.6
Limits and continuity
2.2.16, 2.3.59acde
MML







Monday 18 September
3.3
Basic rules for derivatives
2.2.30, 2.3.58, 2.3.82
MML

Wednesday 20 September
3.4
The Product and Quotient Rules
2.2.42, 2.6.38, 2.6.48
In #42, state what function you
graphed, and what the
window size was.
MML

Thursday 21 September

Practice with the Product and Quotient Rules
2.6.54, 2.6.82, 3.3.36
MML (slightly long)

Friday 22 September
3.5
Derivatives of trig functions
3.3.38, 3.4.18
MML, 2.6.92, 2.6.93







Monday 25 September
4.9
Antiderivatives
3.3.49abcd, 3.4.30, 3.5.8
MML (definitely long)

Wednesday 27 September
3.7
The Chain Rule
3.4.36, 3.5.30, 4.9.10
MML (definitely long)

Thursday 28 September

Chain Rule Practice
3.4.53ab, 3.5.62, 3.5.73
MML

Friday 29 September
3.9
Derivatives of logarithmic and exponential functions
4.9.78, 3.7.44, 3.7.48, 3.7.53, 3.7.58
MML







Monday 2 October

Gateway exam practice
Zeno's Arrow Paradox paper
MML

Wednesday 4 October

Gateway exam
4.9.98, 3.7.64, 3.7.78, 3.9.48, 3.9.61
None







Monday 9 October
3.8
Implicit differentiation
None, Enjoy Fall Break!
None

Wednesday 11 October
5.5
Antidifferentiation by the Substitution Rule
3.7.89, 3.9.68, 3.8.5, 3.8.10, 3.8.15, 3.8.20
MML

Thursday 12 October

Substitution practice
3.9.94, 3.8.30, 3.8.50
MML

Friday 13 October
3.10 Derivatives of inverse trig functions 3.8.52, 3.8.56
MML







Monday 16 October

Introduction to differential equations
5.5.90a
MML

Wednesday 18 October

Q&A review day
5.5.101, 3.10.36
Come prepared with questions. Seriously.
MML, in two parts

Thursday 19 October

Midterm #2 (Covering sections 2.2, 2.3, 2.6, 3.8, 3.10, 4.9, and 5.5)



Friday 20 October
6.9
Exponential models
These problems.
None!







Monday 23 October
4.1
Maxima and minima
These problems
MML

Wednesday 25 October
4.2
Derivatives, increase/decrease, and concavity
6.9.31, 4.1.3, 4.1.4, 4.1.5, 4.1.6,
4.1.7, 4.1.8, 4.1.9
MML

Thursday 26 October
4.2
Derivatives, increase/decrease, and concavity, continued
4.1.20, 4.1.22
MML

Friday 27 October
2.4
Infinite limits
4.1.55, 4.2.12, 4.2.14, 4.2.16, 4.2.50,
4.2.53, 4.2.54, 4.2.55, 4.2.56
MML







Monday 30 October
2.5
Limits at infinity
4.2.87, 4.2.88, 4.2.89, 4.2.90, 4.2.92
MML [Long!]

Wednesday 1 November
4.3
Curve sketching using Calculus
4.2.100, 2.4.16
MML [Longer!]

Thursday 2 November

Curve sketching practice
4.2.102, 2.5.66, 2.5.67
MML [Long!]

Friday 3 November
4.7
L'Hôpital's Rule
4.3.14, 4.3.16, 4.3.22 [These are long!]
MML [Not so long]







Monday 6 November

L'Hôpital's Rule practice
4.3.28, 4.3.34, 4.3.44, 4.3.52, 4.3.56
This is the longest written HW of the term!
MML [Really short]

Wednesday 8 November
4.4
Optimization
Work ahead and study for tomorrow.


Thursday 9 November

Midterm #3 (Covering sections 6.9, 4.1, 4.2, 2.4,
                        2.5, and 4.3, plus differential equations)



Friday 10 November

Optimization practice
4.7.22, 4.7.29, 4.7.38, 4.7.42
MML







Monday 13 November
4.5
Linear Approximation
4.7.48, 4.7.50, 4.7.53, 4.4.10, 4.4.18, 4.4.23
MML

Wednesday 15 November
5.1
Approximating areas under curves
4.7.56, 4.7.61, 4.4.28, 4.4.37, 4.4.38, 4.5.22, 4.5.25
MML

Thursday 16 November
5.2
Definite integrals
4.7.67, 4.7.82, 4.4.42, 4.4.44, 4.5.27, 4.5.28,
5.1.10, 5.1.18, 5.1.20, 5.1.24, 5.1.26, 5.1.30, 5.1.33, 5.1.38
[Obviously also a candidate for longest of the semester.]
MML

Friday 17 November
5.2
Definite integrals, continued
4.4.54, 4.5.62, 5.1.46, 5.1.48, 5.1.52, 5.1.56, 5.1.62, 5.1.64, 5.1.68
MML







Monday 27 November
5.3
The Fundamental Theorem of Calculus
Finish the worksheet from class on Friday the 17th
4.7.86, 4.7.90 for a challenge

Wednesday 29 November

Review for Midterm #4
5.2.48, 5.2.58
MML

Thursday 30 November

Midterm #4 (Covering sections 4.7, 4.4, 4.5, 5.1, and 5.2)



Friday 1 December
5.5
Average value and substitution in definite integrals
5.3.18, 5.3.22, 5.3.24, 5.3.28, 5.3.52, 5.3.62
MML







Monday 4 December
6.1
The integral as net change
5.3.58, 5.3.64, 5.3.80, 5.4.8, 5.4.10, 5.4.14, 5.4.20, 5.4.22, 5.5.44
MML

Wednesday 6 December
6.2
Areas between curves
5.3.68, 5.3.112, 5.4.24, 5.4.28, 5.4.34, 5.5.52,
6.1.8, 6.1.10, 6.1.12, 6.1.16, 6.1.20, 6.1.22, 6.1.26
This is the last of the super-long assignments. Make some time!
MML

Thursday 7 December
4.6
The Mean Value Theorem
5.4.36, 5.4.40, 5.5.72, 6.1.38, 6.1.48, 6.1.63,
6.2.10, 6.2.14, 6.2.20, 6.2.24, 6.2.28, 6.2.30
Not as long as Wednesday's, but not short.
Hint on 6.2.28: The inverse function of y=x^2-4x is x=2+sqrt(y+4)
MML

Friday 8 December
5.3
Proving the Fundamental Theorem of Calculus
None. Can you believe it? A day off! (Except for MML)
MML