MATH 408C: Differential and Integral Calculus I
Fall 2012 (Sections 54975, 54980, 54985)
General Information
Instructor:
Oscar Gonzalez (og@math.utexas.edu) 471-1138
Office hrs:
RLM 10.122, Tu 1-2pm, W 12-1pm, Th 9-10am
Teaching asst:
Aaron Fenyes (afenyes@math.utexas.edu) 475-9149
Office hrs:
tba
Text:
Calculus: Early Transcendentals,
7th Edition, by James Stewart
Lecture:
CPE 2.214, MWF 11-12
Discussions:
TTh 8-9 RLM 6.116 (54975),
TTh 3:30-4:30 RLM 6.114 (54980),
TTh 5-6 CBA 4.324 (54985)
Important Announcements
- Practice problems on the new material for
Exam 6 are available (see link below).
- Exam 6 is Wednesday (Dec 12) 2-5pm.
Place: Check the University Final Exam Schedule
(available
online).
Policy: No notes. No books. No calculators. A formula
sheet will be provided.
Length: 28 problems.
Coverage: Comprehensive,
Chap 1-6 material (approx 55%),
Chap 7 material (7.1--7.5) (approx 45%)
Core concepts:
| Limits |
Derivatives |
Integrals |
Functions |
|
| intuitive defn, props |
defn, props |
defn, props |
poly |
| indeterminate forms |
prod, quot, chain |
Fund Thms I, II |
power |
| Squeeze Thm |
implicit diff |
Net Change Thm |
rational |
epsilon-delta defn |
related rates |
area, volume |
trig |
| continuity |
linear approx |
average value, work |
log |
| Intermediate Value Thm |
curve sketching |
u substitution |
exp |
| L'Hospital's Rule |
optimization |
integration by parts |
arc trig |
| |
antiderivatives |
trig products |
hyp trig |
| |
Extreme Value Thm |
trig substitution |
|
| |
Rolle's Thm |
partial fraction decomps |
|
| |
Mean Value Thm |
Integral Mean Value Thm |
|
Course Information