Mathematics 110: Calculus and Analytic Geometry II (Fall 2006)
Lecture: Mon-Wed-Fri 1:30pm-2:35pm (Room HRN-509)
Instructor:
Allan Cruse
cruse@usfca.edu
Phone: (415) 422-6562
Office: 212 Harney Science Center
Office Hours: (see my homepage)
Synopsis:
This is the second in a three-semester course-sequence (Math 109-110-211)
covering standard topics in introductory calculus for college undergraduates.
It assumes that a student is familiar with rules for computing derivatives of
algebraic, trigonometric, exponential and logarithmic functions, and has used
these in solving problems involving optimization, curve-sketching, and computing rates-of-change. It also assumes that a student has been introduced to the
concepts of definite integral and anti-derivative, and is aware of the so-called
Fundamental Theorem of Calculus which describes the connection between
derivatives and integrals. With that essential background as a starting point,
this course explores applications of the integral to problems in a variety of
disciplines, methods for discovering anti-derivatives, techniques for formulating and solving differential equations, usage of parametric equations and polar
coordinates, and properties of infinite sequences and series. The course
consists of readings, lectures, discussions, demonstrations, quizes, and
homework exercise-sets. The class meets on Mondays, Wednesdays and Fridays.
Textbook:
Learning Outcomes:
- You will have seen how calculus is used in various scientific disciplines
- You will be aware of common techniques for discovering anti-derivatives
- You will become acquainted with some alternative coordinate-systems
- You will be able to compute a general solution for differential equations
- You will gain a deeper appreciation for limits and for infinite processes
- You will be equipped to pursue further studies in college mathematics
Course Resources
- CD-ROM: Tools for Enriching Calculus is included with your textbook
Handouts
Homework
- For Mon, 28 Aug 2006: End of Chapter 6 Exercises on pp. 468-469:
#2, 3, 5, 6, 7, 8, 13, 19, 20, 25.
- For Wed, 30 Aug 2006: Section 6.4: #1, 2, 3, 5, 7, 10, 15, 19.
- For Fri, 01 Sep 2006: Section 6.5: #1, 2, 3, 5, 7, 10, 14, 15.
- For Mon, 04 Sep 2006: University Holiday (Labor Day)
- For Wed, 06 Sep 2006: Section 7.1: #3, 10, 12, 17, 27, 34, 52, 59.
- For Fri, 08 Sep 2006: Section 7.2: #1, 2, 14, 29, 30, 41, 53, 60.
- For Mon, 11 Sep 2006: Section 7.3: #1, 2, 3, 4, 5, 9, 30, 34.
- For Wed, 13 Sep 2006: Section 7.4: #9, 17, 21, 28, 34, 41, 57, 61.
- For Fri, 15 Sep 2006: Section 7.5: #1, 5, 8, 12, 31, 37, 51, 60.
- For Mon, 18 Sep 2006: Section 7.6: #1, 4, 5, 6, 7, 20, 27, 32.
- For Wed, 20 Sep 2006: Section 7.7: #1a, 5b, 17a, 17b, 22, 29a, 29c, 47.
- For Fri, 22 Sep 2006: No new assignment. Review for Midterm Exam I.
- For Mon, 25 Sep 2006: Section 7.8: #5, 7, 8, 13, 18, 27, 30, 53.
- For Wed, 27 Sep 2006: Section 8.1: #5, 8, 10, 11, 13, 14, 17, 19.
- For Fri, 29 Sep 2006: Section 8.2: #2, 4, 5, 6, 7, 12, 13, 14, 25.
- For Mon, 02 Oct 2006: Section 8.3: #1, 3, 4, 7, 9, 10, 13a, 13b.
- For Wed, 04 Oct 2006: Section 8.3: #19, 22, 25, 27, 30, 33, 34, 40.
- For Fri, 06 Oct 2006: Section 9.1: #1, 2, 3a, 3b, 4, 6a, 6c, 7b.
- For Mon, 09 Oct 2006: Section 9.3: #1, 2, 3, 4, 11, 16, 19, 20.
- For Wed, 11 Oct 2006: Section 9.4: #1, 3, 7, 9, 10, 12, 13, 16.
- For Fri, 13 Oct 2006: Section 9.6: #1, 2, 3, 5, 6, 8, 9, 15.
- For Mon, 16 Oct 2006: Pages 645-646: T-F #1, 2, 3, 4, 5; and Ex #5, 9, 10.
- For Wed, 18 Oct 2006: Pages 648-649: #1, 2, 3, 4, 5, 10, 11, 12.
- For Fri, 20 Oct 2006: No new assignment. Review for Midterm Exam II.
- For Mon, 23 Oct 2006: Pages 544-545: #2, 5, 6, 11.
- For Wed, 25 Oct 2006: Section 11.1: #5, 8, 12, 13, 17, 22, 31, 55.
- For Fri, 27 Oct 2006: Section 11.2: #9, 12, 17, 23, 27, 41, 49, 53.
- For Mon, 30 Oct 2006: Section 11.3: #3, 5, 6, 12, 20, 22, 23, 32.
- For Wed, 01 Nov 2006: Section 11.4: #3, 4, 8, 9, 10, 20, 25, 31.
- For Fri, 03 Nov 2006: Section 11.5: #5, 7, 8, 10, 13, 15, 24, 29.
- For Mon, 06 Nov 2006: Section 11.6: #2, 3, 4, 5, 8, 9, 20, 27.
- For Wed, 08 Nov 2006: Section 11.7: #2, 3, 8, 13, 15, 16, 18, 37.
- For Fri, 10 Nov 2006: Section 11.8: #5, 7, 10, 12, 17, 18, 23, 27.
- For Mon, 13 Nov 2006: Section 11.9: #3, 4, 8, 9, 11, 15, 26, 32.
- For Wed, 15 Nov 2006: Section 11.10: #8, 9, 11, 14, 18, 21, 25, 28.
- For Fri, 17 Nov 2006: No new assignment. Review for Midterm Exam III.
- For Mon, 20 Nov 2006: Section 11.10: #4, 5, 13, 16, 31. 37, 42, 58.
- For Wed, 22 Nov 2006: Section 10.1: #2, 9, 13, 14, 24, 33, 39, 40.
- For Fri, 24 Nov 2006: University Holiday (Thanksgiving Recess)
- For Mon, 27 Nov 2006: Section 10.2: #1, 5, 8, 13, 18, 31, 38, 65.
- For Wed, 29 Nov 2006: Section 10.3: #3, 5, 7, 12, 13, 24, 32, 60.
- For Fri, 01 Dec 2006: Section 10.4: #1, 3, 6, 12, 29, 35, 38, 45.
- For Mon, 04 Dec 2006: Section 10.5: 2, 5, 9, 12, 16, 22, 27, 33.
- For Wed, 06 Dec 2006: No new assignment. Review for Final Exam.
Announcements
- Midterm Exam 1: Friday, September 22
- Midterm Exam 2: Friday, October 20
- Midterm Exam 3: Friday, November 17
- FINAL EXAMINATION: Tuesday, December 12, 3:30pm
Last updated on 12/01/06