Mathematics 110: Calculus and Analytic Geometry II (Fall 2007)

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:

James Stewart, Calculus, Early Transcendentals (5th Edition),
Thompson/Brooks-Cole (2003), ISBN 0-534-39330-6

• 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

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Course Resources

• CD-ROM: Tools for Enriching Calculus is included with your textbook

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Handouts

• 0206-110-01: Course syllabus(.pdf-format)

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Homework

• For Mon, 27 Aug 2007: End of Chapter 6 Exercises on pp. 468-469: #2, 3, 5, 6, 7, 13, 19, 20.
• For Wed, 29 Aug 2007: Section 6.4: #1, 2, 3, 5, 7, 10, 15, 19.
• For Fri, 31 Aug 2007: Section 6.5: #1, 2, 3, 5, 7, 10, 14, 15.
• For Mon, 03 Sep 2007: University Holiday (Labor Day)
• For Wed, 05 Sep 2007: Section 7.1: #3, 10, 12, 17, 27, 34, 52, 59.
• For Fri, 07 Sep 2007: Section 7.2: #1, 2, 14, 29, 30, 41, 53, 60.
• For Mon, 10 Sep 2007: Section 7.3: #1, 2, 3, 4, 5, 9, 30, 34.
• For Wed, 12 Sep 2007: Section 7.4: #9, 17, 21, 28, 34, 41, 57, 61.
• For Fri, 14 Sep 2007: No new assignment. Review for Midterm Exam I.
• For Mon, 17 Sep 2007: Section 7.5: #1, 5, 8, 12, 31, 37, 51, 60.
• For Wed, 19 Sep 2007: Section 7.6: #1, 4, 5, 6, 7, 20, 27, 32.
• For Fri, 21 Sep 2007: Section 7.7: #1a, 5b, 17a, 17b, 22, 29a, 29c, 47.
• For Mon, 24 Sep 2007: Section 7.8: #5, 7, 8, 13, 18, 27, 30, 53.
• For Wed, 26 Sep 2007: Section 8.1: #5, 8, 10, 11, 13, 14, 17, 19.
• For Fri, 28 Sep 2007: Section 8.2: #2, 4, 5, 6, 7, 12, 13, 14, 25.
• For Mon, 01 Oct 2007: Section 8.3: #1, 3, 4, 7, 9, 10, 13a, 13b.
• For Wed, 03 Oct 2007: Section 8.3: #19, 22, 25, 27, 30, 33, 34, 40.
• For Fri, 05 Oct 2007: Section 9.1: #1, 2, 3a, 3b, 4, 6a, 6c, 7b.
• For Mon, 08 Oct 2007: Section 9.3: #1, 2, 3, 4, 11, 16, 19, 20.
• For Wed, 10 Oct 2007: Section 9.4: #1, 3, 7, 9, 10, 12, 13, 16.
• For Fri, 12 Oct 2007: No new assignment. Review for Midterm Exam II.
• For Mon, 15 Oct 2007: Section 9.6: #1, 2, 3, 5, 6, 8, 9, 15.
• For Wed, 17 Oct 2007: Section 11.1: #5, 8, 12, 13, 17, 22, 31, 55.
• For Fri, 19 Oct 2007: Section 11.2: #9, 12, 17, 23, 27, 41, 49, 53.
• For Mon, 22 Oct 2007: Section 11.3: #3, 5, 6, 12, 20, 22, 23, 32.
• For Wed, 24 Oct 2007: Section 11.4: #3, 4, 8, 9, 10, 20, 25, 31.
• For Fri, 26 Oct 2007: Section 11.5: #5, 7, 8, 10, 13, 15, 24, 29.
• For Mon, 29 Oct 2007: Section 11.6: #2, 3, 4, 5, 8, 9, 20, 27.
• For Wed, 31 Oct 2007: Section 11.7: #2, 3, 8, 13, 15, 16, 18, 37.
• For Fri, 02 Nov 2007: Section 11.8: #5, 7, 10, 12, 17, 18, 23, 27.
• For Mon, 05 Nov 2007: Section 11.9: #3, 4, 8, 9, 11, 15, 26, 32.
• For Wed, 07 Nov 2007: Section 11.10: #8, 9, 11, 14, 18, 21, 25, 28.
• For Fri, 09 Nov 2007: No new assignment. Review for Midterm Exam III.
• For Mon, 12 Nov 2007: Section 11.10: #4, 5, 13, 16, 31. 37, 42, 58.
• For Wed, 14 Nov 2007: Section 10.1: #2, 9, 13, 14, 24, 33, 39, 40.
• For Fri, 16 Nov 2007: Section 10.2: #1, 5, 8, 13, 18, 31, 38, 65.
• For Mon, 19 Nov 2007: Section 10.3: #3, 5, 7, 12, 13, 24, 32, 60.
• For Wed, 21 Nov 2007: No new assignment. MAA film scheduled.
• For Fri, 23 Nov 2007: University Holiday (Thanksgiving Recess)
• For Mon, 26 Nov 2007: Section 10.4: #1, 3, 6, 12, 29, 35, 38, 45.
• For Wed, 28 Nov 2007: Section 10.5: #2, 5, 9, 12, 16, 22, 27, 33.
• For Fri, 30 Nov 2007: Section 10.6: #3, 4, 9a, 9b, 9c, 9d, 13a, 13b.
• For Mon, 03 Dec 2007: Section 11.11: #2, 3, 4, 7, 11a, 11b, 15a, 15b
• For Wed, 05 Dec 2007: No new assignment. Review for Final Exam.

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Announcements

• Midterm Exam 1: Friday, September 14
• Midterm Exam 2: Friday, October 12
• Midterm Exam 3: Friday, November 9
• FINAL EXAMINATION: Wednesday, December 12, 8:00am