Professor: Lorenzo Sadun, sadun@math.utexas.edu Teaching Assistant: Iordan Ganev, iganev@math.utexas.edu Learning Assistant: Chelsie Mound chelsie@utexas.edu Learning Assistant: Gabriel Garcia-Cantu Gabriel.garciacantu.91@gmail.com Lectures: TuTh 9:30-11:00, CPE 2.208

Discussion sections by unique number:

56620: MW 8-9, RLM 5.116

56625: MW 1-2, RLM 5.120

56630: MW 3-4, RLM 5.118

Website: http://www.ma.utexas.edu/users/sadun/F13/M408M Office: RLM 9.114 Sadun Office Hours: M10-11, W2-3, RLM 9.114

Iordan's Office Hours: M2-3, MW4-5, RLM 13.150

Chelsie's Office Hours: M,Th 3:30-6, Jester Gabe's Office Hours: Tu3:30-6, F2-4, Jester Phone: 471-7121 Text: Calculus, Early Transcendentals, 7th Edition, by Stewart. Prerequisites: This class is restricted to students who have passed M408S or M408L with a grade of C- or better. If you do not meet these conditions, you will be dropped from the class.

One variable at a time:Calculus has a reputation of being a hard class that features a million different equations to be memorized. Therearea lot of formulas and techniques, but almost everything boils down to six simple ideas, which I call thesix pillars of calculus:

1. Close is good enough (limits)

M408K/N was mostly about the first three pillars, with a little bit about pillars 4 and 5 at the end. M408L/S was about pillars 1, 4, and 5, with a little bit about pillar 6 at the end.

2. Track the changes (derivatives)

3. What goes up has to stop before is can come down (max/min)

4. The whole is the sum of the parts (integrals)

5. The whole change is the sum of the partial changes (fundamental theorem)

6. One variable at a time.M408M is all about pillar 6.Almost everything in this course can be done by isolating one input variable and one output variable and applying what you learning in the first two semesters of calculus.Three questions:There are three questions associated with every mathematical topic you ever will see.

1. What is it?

Most of high school calculus is about "how do you compute it?" This class will put a much greater emphasis on conceptual understanding and applications than you're probably used to.

2. How do you compute it?

3. What is it good for?

There will be in-class midterm examson September 26, October 29 and November 21. Exams are closed book andcalculators are not allowed. However, you are allowed to bring an 8.5" x 11"crib sheetwith whatever you want written on it. Outlines, useful formulas, worked problems, calming advice -- you name it. The only restriction is that the crib sheet must be handwritten by you.

The final examwill be on Saturday evening, December 14, 7-10 PM. The ground rules are the same as for the midterms, except that you are allowedtwocrib sheets instead of one. Calculators arenotallowed.

The homework and grading scheme are explained in the First Day Handout

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Handouts and Other Course InformationFirst Day Handout Course Schedule Written HW assignments Workbook The Quest server. That's where you get learning modules and do the online portion of your homework. My Youtube channel with over 150 calculus videos, including all the videos that appear in the Quest learning modules for M408M. The Sanger Center, a great source of (mostly) free help.

Practice first midterm from 2006, available with and without solutions. Note that the exam was given in early October and covers more ground than our first midterm will. Actual first midterm, available with and without solutions. Practice second midterm from 2006, available with and without solutions. Note that the exam was given in early November and covers a little more ground than our second midterm will. Actual second midterm, available with and without solutions. Actual third midterm, available with and without solutions. Practice final exam from 2006, available with and without solutions. Actual final exam from 2013, available with and without solutions.