Summer 2006
Calculus I (Math 226)
Week 1
06-19: Introduction. Real numbers.
06-20: Concept of limit. Section 2.2.
HW for Fri 06-23: p.102 #7,15,19,22,25.
06-21: Limit laws. Section 2.3.
HW for Fri 06-23: p.112 #4,11,18,23,29,43.
06-23: HW discussion. Begin limits at infinity.
O.H. changed to Th 12:30-2:00 and Mon 12:30-2:00.
Week 2
06-26: Limit at infinity. Some continuity.
HW for Fri 06-30: p.133#11,18,30,50; p. 147#17,20,23,30.
06-27: Quiz #1. Intro tangent problem.
06-28: Tangent problem and derivative.
HW for Fri 06-30: p.163#14,15,21; p. 174 # 26,27,30.
06-29: Power rule, exponentials.
HW for Fri 06-30: p.173#4,5; p.191#22,24,29.
06-30: Exponentials.
Week 3
07-03: Exponentials and logarithms.
07-05: Product and quotient rules.
HW for Fri 07-07:p.74#20,23,24,25,35,38,41,50;
p.197#9,12,14,15,20,22,24.
07-06: Quiz #2. Review of trigonometry.
07-07: Differentiate trig functions.
HW for 07-14: p.216 #5,7,11,18,22,35,38,42.
Week 4
07-10: Begin chain rule.
07-11: Quiz #3. End chain rule.
HW for Fri 07-14: p. 224 #5,7,17,21,25,40,42.
07-12: Implicit differentiation.
HW for Fri 07-14: p.233 #3,4,15,16,27,38.
07-13: Logarithmic differentiation.
HW for Fri 07-14: p.249 #9,11,19,31,36.
07-14: Discuss HW. Begin min/max.
Week 5
07-17: Mean Value Theorem. Begin curve sketching.
HW for Fri 07-21: p.286 #32,41,45;p.295 #11,14,16; p.305 #21,22,34,37,41,47.
07-18: Quiz #4. More curve sketching.
07-19: Second derivative test. Curve sketching.
07-20: class was cancelled.
07-21: Mean Value Theorem. Curve sketching.
HW for Fri 07-21 rescheduled for Mon 07-24.
Quiz #5 rescheduled for Wed 07-26.
Week 6
07-24: l’Hopital’s rule.
07-25: End l’Hopital, more curve sketching.
HW for Fri 07-28: p.313 #10,11,18,25,41,47,53,59.
07-26: Quiz #5. More curve sketching.
HW for Fri 07-28: p.323 #5,7,9,12,21,28,48.
07-27: End curve sketching. Begin optimization.
07-28: Optimization.
Week 7
07-31: Optimization.
HW for Fri 08-04: p.336 #4,6,15,19,28,40,56.
08-01: Quiz #6. Related rates.
HW for Fri 08-04: p.260 #18,23.
08-02: The area problem, Rieman sums. Integral.
HW for Fri 08-04: p.391 #17,23,25,27.
08-03: Fundamental theorem, antiderivatives.
08-04: Properties of integrals.
Week 8
08-07: More integration.
HW (not due): p. 411 #1,6,9,15,27,29,38.
08-08: Quiz 7. Inverse trig functions.
08-09: HW discussion.
08-10: Review.
08-11: Final exam.