Professor: Lorenzo Sadun, sadun@math.utexas.edu Teaching Assistant: Robin Neumayer rneumayer@math.utexas.edu Lectures: MWF 9:00-10:00, CPE 2.208

Discussion sections by unique number:

53088: TuTh 1-2, NOA 1.126

53089: TuTh 8:30-9:30, NOA 1.102

Website: http://www.ma.utexas.edu/users/sadun/S16/M408D Office: RLM 9.114 Sadun Office Hours: Tu 10-11, Th2-3, RLM 9.114

TA's Office Hours: TBD, RLM 12.136

Phone: 471-7121 Text: Calculus, Early Transcendentals, 7th Edition, by Stewart. Prerequisites: This class is restricted to students who have passed M408C with a grade of C- or better or have tested out of M408C. 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)

M408C was mostly about the first three pillars, with a little bit about pillars 4 and 5 at the end. M408D is 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.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 February 19, April 1 and May 2. 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, May 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

## *

Handouts and Other Course InformationFirst Day Handout Course Schedule The Quest server. That's where you get learning modules and do the online homework. My Youtube channel with over 300 calculus videos, including all the videos that appear in the Quest learning modules for M408D. Practice first midterm from M408D in Fall 2002, both with and without solutions. The curriculum for M408C/D back then moved a lot faster than now, so these questions are mostly practice for our secondmidterm in 2016.Practice first midterm from M408S in 2013, both with and without solutions. Note that M408S is not as advanced as M408D, so the first midterm included some material that you did in M408C. Actual first midterm from M408D in 2016, both with and without solutions.

Practice second midterm from M408S in 2013, both with and without solutions. The first half of this exam is relevant to the first M408D midterm, and the second is relevant to the second M408D midterm. Practice first midterm from M408M in 2015, both with and without solutions. The first half of this exam is relevant to the second M408D midterm. Actual second midterm from M408D in 2016, both with and without solutions.

All of Mark Maxwell's M408S midterm exams from Spring 2013. All of Anna Spice's M408S midterm exams from Spring 2013. Practice third midterm from M408S in 2013, both with and without solutions. Actual third midterm from M408D in 2016, both with and without solutions.

Practice final exam from M408S in 2013, both with and without solutions. Practice final exam from M408M in 2013, both with and without solutions. Practice final exam from M408M in 2015, both with and without solutions. Actual final exam from M408D in 2016, both with and without solutions. The only difference between the yellow and blue exams was the color of the paper.

The Calculus Lab website. CalcLab is where you get get TA help 5 days per week, typically 5 hours/day. It won't always be ourTA and LAs staffing CalcLab, but there willalwaysbe somebody there to answer M408D questions.The Sanger Center, a great source of (mostly) free help.