This is the page for sections **55460**, **55465**, and **55470** of **Math 408L**.

The **first day handout**
contains all of the essential organizational information about the course. Especially,
it contains the **dates of midterm exams**, and **office hours** for me and for the teaching assistant.

I am Andrew (Andy) Neitzke. You can contact me at neitzke@math.utexas.edu.

(I will try to post these within a few hours after the lecture. They are a transcript of exactly what appeared on the screen during class, except that if errors are discovered I will correct them.)

Lecture 1 (29 Aug): integrals, Fundamental Theorem of Calculus (FTC1) (Ch 5.3)Lecture 2 (31 Aug): Fundamental Theorem of Calculus (FTC1 and FTC2) (Ch 5.3)

Lecture 3 (5 Sep): indefinite integrals, net change (Ch 5.4)

Lectures 4-5 (7 Sep-10 Sep): method of substitution (Ch 5.5)

Lecture 6 (12 Sep): areas between curves (Ch 6.1)

Lecture 7 (17 Sep): volumes, surfaces of revolution (Ch 6.2). Extra examples of volume problems

Lecture 8 (19 Sep): integration by parts (Ch 7.1). Extra examples of integration by parts and substitution, sometimes combined

Lecture 9 (21 Sep): (more) trigonometric integrals (Ch 7.2). Extra example of trig integral

Lecture 10 (24 Sep): trigonometric substitution (Ch 7.3)

Lecture 11 (26 Sep): partial fractions (Ch 7.4)

Lecture 12 (28 Sep): more partial fractions, strategy for integration (Ch 7.5)

Lecture 13 (1 Oct): improper integrals (Ch 7.8)

Lecture 14 (3 Oct): more improper integrals (Ch 7.8)

Lecture 15 (5 Oct): partial derivatives (Ch 14.3)

Lecture 16 (8 Oct): exam review

Lecture 17 (10 Oct): volume under graphs, double and iterated integrals (Ch 15.1, 15.2)

Lecture 18 (12 Oct): double and iterated integrals over general regions (Ch 15.3)

Lecture 19 (15 Oct): more double integrals over general regions (Ch 15.3)

Lecture 20 (17 Oct): sequences (Ch 11.1)

Lecture 21 (19 Oct): more sequences (Ch 11.1)

Lecture 22 (22 Oct): series (Ch 11.2)

Lecture 23 (24 Oct): more series, Test for Divergence (Ch 11.2)

Lecture 24 (26 Oct): integral test (Ch 11.3)

Lecture 25 (29 Oct): comparison and limit-comparison tests (Ch 11.4)

Lecture 26 (31 Oct): comparison and limit-comparison tests, continued (Ch 11.4) (guest lecture by Dr. John Meth, no notes)

Lecture 27 (2 Nov): alternating series (Ch 11.5) (guest lecture by Dr. David Ben-Zvi) [notes from my lecture on the same topic given in 2010]

Lecture 28 (5 Nov): exam review (guest lecture by Dr. David Ben-Zvi, no notes)

Virtual office hours, part 1

Virtual office hours, part 2

Virtual office hours, part 3

Lecture 29 (7 Nov): absolute and conditional convergence, ratio test (Ch 11.6)

Lecture 30 (9 Nov): root test, strategy for testing series (Ch 11.7)

Lecture 31 (12 Nov): power series (Ch 11.8)

Lecture 32 (14 Nov): more power series (Ch 11.8)

Lecture 33 (16 Nov): power series as functions (Ch 11.9)

Lecture 34 (19 Nov): more power series as functions, first look at Taylor series (Ch 11.9, 11.10)

Lecture 35 (26 Nov): Taylor series (Ch 11.10)

Lecture 36 (28 Nov): Uses of Taylor series (Ch 11.11)

Lecture 37 (30 Nov): more Taylor series, Euler's formula (for fun) (Ch 11.11)

Extra example of computing a Taylor series

Lecture 38 (3 Dec): exam review

Lecture 39 (5 Dec): final exam review

Lecture 40 (7 Dec): final exam review

All lectures (long).