Math 2250, Spring 2011
Daniel Krashen
Course Syllabus
- Lecture : MWF, 1:25pm-2:15pm in Biological Sciences Building, room C120
- Recitation: Tuesday, 12:30-1:45 in Boyd 322
- Office hours: Wednesday, 11:00am-12:00pm in Boyd 437 (or by appointment)
Calendar:
Exam 1: Febrary 22; Exam 2: March 29; Exam 3: May 2
Final Exam: Monday, May 9 from 12:00pm to 3:00pm in Biological Sciences, room C120
Homework Assignments
(Please ignore the security certificate warning)
Homework will be assigned each Thursday.
Lecture Notes (scanned PDF):
- Secant lines, average rates of change, tangent lines, instantaneous rates of change, limits and limit laws (Lecture 5, January 26, 2011)
- One sided limits, vertical asymptotes and continuity (Lecture 6, January 28, 2011)
- More limits, infinite limits and horizontal asymptotes (Lecture 7, January 31, 2011)
- More limits using substitution. Derivatives (Lecture 8, February 2, 2011)
- Picturing derivatives, and the magic of e (Lecture 9, February 4, 2011)
- Optimization, differentiation rules (Lecture 10, February 7, 2011)
- Differentiation rules: exponentials, products, quotients (Lecture 11, February 9, 2011)
- Exponential and Logarithm review, derivatives of sine and cosine (Lecture 12, February 11, 2011)
- The Chain Rule (Lecture 13, February 14, 2011)
- The power of the power rule, more chain rule (Lecture 14, February 16, 2011)
- Higher derivatives, review of differentiation rules, inverse sine (Lecture 15, February 18, 2011)
- Practice Exam (February 21, 2011)
- Tangent lines and linear approximation, introduction (Lecture 16, February 23, 2011)
- Implicit differentiation and related rates, introduction (Lecture 17, February 25, 2011)
- More implicit differentiation, inverse functions (Lecture 18, February 28, 2011)
- Trig refresher, strategy for related rates (Lecture 19, March 2, 2011)
- Related rates strategy and practice (Lecture 20, March 4, 2011)
- More related rates practice, optimization (Lecture 21, March 7, 2011)
- Optimization and Rolle's theorem (Lecture 22, March 9, 2011)
- More optimization, the intermediate value and mean value theorems (Lecture 23, March 11, 2011)
- Rolle's Theorem review (Lecture 24, March 28, 2011)
- Sign charts and the first derivative test (Lecture 25, March 30, 2011)
- Concavity and the second derivative (Lecture 26, April 1, 2011)
- Optimization, curve sketching and L'hopital's rule (Lecture 27, April 4, 2011)
- Sign charts and curve sketching (Lecture 28, April 6, 2011)
- L'hopital's rule. Introduction to anti-derivatives (Lecture 29, April 8, 2011)
- Approximating area under curves (Lecture 30, April 18, 2011, part 1 part 2)
- Recitation notes (Recitation, April 19, 2011)
- Computing definite integrals with Riemann sums (Lecture 31, April 20, 2011)
- Integration using FTC II, u-substitution (Lecture 32, April 22, 2011)
- u-substitution (Lecture 33, April 25, 2011)
- Recitation notes (Recitation, April 26, 2011)
- Further topics (Lecture 33, April 27, 2011)