MAT 136, Professor Swift

MAT 136, Calculus I

Prof. Swift, Spring 2019

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Course information

My office is AMB 110. My office hours are Tuesday 12:45-1:45 (first week only), Tuesday 11:30-12:30 (starting second week), Thursday 2-4, Friday 1:45-2:45 (first week only) and Friday 12:45-2:45 (starting second week).
You can always send me e-mail, drop in, or make an appointment if these times aren't convenient. Here is my weekly schedule.

The textbook is Calculus, Early Transcendentals 3E by Rogawski and Adams. There many available resources on the internet, for example the on-line interactive text, by Paul Dawkins of Lamar University, and the Khan Academy. There are videos and other resources at the MOOCulus site,

Here is a link to NAU policy statements, and the math department policies that are technically part of the syllabus.

An excellent web-based calculator is

Most homework is assigned and graded using WeBWorK. Your username and password is the same as for LOUIE. (A typical username is abc123.) Use any WeBWorK link at this web site, or type in

This link has detailed information on WeBWorK (in pdf format). Your username and password are the same as for Louie.

Chart of letters of the Greek alphabet.

I hope you will come to my office hours to introduce yourself. Aside from my office hours, we have lots of free help available. Our Peer TA is Ryan Kelly. His office hours are Wed. 5-6 and Fri. 2-3 in AMB 163 (the math building). His email is rjk228(at)

The resource room, downstairs in AMB 137, has help available M-Th 10-6 and F 10-3 (This MAP room opens Wednesday, January 16). There is also drop in tutoring and one-to-one tutoring available at the North and South Academic Success Centers.

Figures and Help in reverse Chronological Order

Thursday, April 25: Here is the Big Picture of calculus, showing the FToC. Here is the Big Picture with different notation.
My office hours tomorrow (Friday, April 26) are shortened to 12:45-2:00, due to UGRADS (Undergraduate Research and Design Symposium). Check out UGRADS, in the field house 9-11am and 2-4pm.

Thursday, April 18: Here's a picture of the white board with the proof of the Fundamental Theorem of Calculus, Part I.

Thursday, April 4: Here is the a Geogebra Applet on the Riemann Sum that I showed in class today.

Monday, April 1: Here are pictes of Friday's white board. The hypothesis is stronger here than in the previous post, about the consequences of the sign of f ' and the sign of f ''.

Friday, March 29: Here is a picture of Thursday's white board. This encapsulates all you need to know about the shape of graphs.

Monday, March 25: Useful Theorem Not In Book (UTNIB). Assume f is differentiable on an interval I. If f '(x) ≤ 0 for all x in I, and f ' has a finite number of zeros in I, then f is decreasing on I. (There is a similar theorem with f '(x) ≥ 0 and f increasing.)
Example: Assume f '(x) = x2(x-1). We see that f '(x) ≤ 0 for all x in (-∞, 1], and the zeros of f ' are 0 and 1 (so f ' has a finite number of zeros). The UTNIB says that f is decreasing on (-∞, 1]. The book's theorem says that f is decreasing on (-∞, 0), and on (0,1). This is the truth, but not the whole truth.
Example: f(x) = x2 has f '(x) = 2x. The UTNIB says that f is decreasing on (-∞, 0] and f is increasing on [0, ∞). Discussion Question: Is f both increasing and decreasing at 0?

Wednesday, March 13: Read Feynman vs. the Abacus, and then do this group work.

Friday, February 15: Here are proofs of the Product Rule and the Quotient Rule.

Thursday, February 14: This meme shows a common error.

Wednesday, February 13: Differentiation Shortcuts, and graph of problem 11 with the Desmos Online Calculator.

Wednesday, February 6: Here is an example of using the limit definition of the derivative to compute the derivative of f(x) = x^2 + 3x+1.

Monday, Februarty 4: Work together on the Geogebra Calculus Applet on the derivative at a point.

Friday, February 1: Here's a graph of the sinc function.
This website has some very cool Calculus Applets. Check out number 5.
Here's a graph of y = x sin(1/x), and the continuous function defined for all real numbers.

Wednesday, January 30: The Key to Computing Limits. This shows an example of problem 13 on WeBWorK set 6.
Today we did group work on continuity in class.

MLK Day weekend: If you have some spare time this long weekend, check out this video by Vi Hart, and maybe look at other stuff while you're at it! Vi Hart: How I feel about logarithms

Friday, January 18: Estimate the speed of the Falling Ball.

Monday, January 14: Required knowledge from Precalculus

You can get extra credit for our course from points earned in the Problem of the Week. You can get up to 3 class points per week. I will multiply your points on the ladder by 0.3 to get extra credit.
FAMUS (Friday Afternoon Undergraduate Math Seminar): Fridays at 3 pm in AMB 164.
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