SYLLABUS FOR MATH 21J -- Calculus I

INSTRUCTOR: Jim Burgmeier

EMAIL:

WEBSITE: www.cems.uvm.edu/~burgmeie

OFFICE: Henry Marcus Lord House, 16 Colchester Avenue, Room 209

PHONE: 656-4353

TEXT: Calculus, Early Transcendental Functions, 4th Edition, Larson, Hostetler, Edwards (the textbook's website)

OFFICE HOURS: Mondays and Wednesdays, 11:00 – 12:00 except October 8, or by appointment.

HOMEWORK: To learn mathematics, you must do problems. I do not plan to collect homework, but reserve the right to start collecting if I feel it will motivate you to do the work. The assigned homework problems are a minimum of knowledge.

QUIZZES: All quizzes will be based on the homework. You should expect a minimum of one quiz each week, usually on Tuesday. If you do the homework and pay attention in class, you should have no problem with the quizzes. If you miss a quiz, you will need a good excuse and must take the quiz by the next class. I will drop the two lowest quiz grades.

TESTS: Test dates are tentatively scheduled and listed on the homework page. If you miss a test, you should make arrangements immediately, if not ahead of time, to make the test up. If you do not take the make-up test within a week, you will receive a zero as a score.

IMPORTANT!! All quizzes and tests are to be completed using a pencil. Please purchase a pencil and a quality eraser. Neatness counts.

MATLAB: There will be some Matlab demonstrations and an occasional Matlab homework assignment.

ePORTFOLIO Keep an electronic journal or record of the course and its connections with other courses.

FINAL EXAM: Friday, December 7, 8:00 – 11:00 am, in 110 Rowell.

GRADING: Quizzes (35%); Tests (40%); Final (25%).

Academic Integrity: All quizzes, tests and the final exam are closed book with no outside help. Feel free to discuss the homework with others. However, all work turned in for a grade will be considered as your own work. The University of Vermont has a strict policy regarding Academic Integrity. Any act of dishonesty will be treated seriously.

Special Accommodations: If you have a learning disability or other disability for which you may require special accommodations, please notify me during the first two weeks of the semester. You will need to provide official documentation from UVM's Student Services office. For information on academic support programs, visit the Dean of Students Office and the Access Office.

Classroom Etiquette: It is important that everyone behave in a manner that will create an optimal learning environment.

·  Students will attend all regularly scheduled classes, except for those occasions warranting an excused absence under the University's Attendance Policy. Students have the right to practice the religion of their choice. Any student who plans to miss class because of a religious event should notify me a week before the class(es) to be missed. Students who miss work for the purpose of religious observance will be permitted to make up this work.

·  Students will arrive for class on time and should expect to stay in the class for the full period. The student will alert the instructor prior to class if the student must leave early.

·  Students will inform the instructor of any planned absences. The student will take responsibility for obtaining missed assignments from other students.

·  Cell phones, pagers, beepers and other electronic devices will be turned off prior to the start of class.

·  Students will refrain from using computers for non-academic purposes during class time.

·  Students will not engage in behavior that detracts from the learning environment, including talking in class, sleeping, doing outside work and entering and leaving the classroom. Students will wait until the instructor dismisses the class before packing up.

It is to the student's advantage to attend class, to listen to the instructor, to take detailed notes, to do the assigned work and to study. Grades are a reflection of the diligence of the student.

Math 21 (Section J) Calculus I Fall 2007

Date / Section / Homework
Aug 27 / 1.1, 1.2 Graphs, Models, Rates of Change / p.8 1-4,39-55 (odds)
p.16 9, 11, 13, 23, 35, 39, 51, 87
Aug 28 / 1.2, 1.3 Lines, Functions and their Graphs / p.27 3-17 (odds), 19, 21, 27, 59, 61, 63
Aug 29 / Trigonometry Review (Appendix D) / p.D25 1-30
Aug 31 / Trigonometry Review (Appendix D) / p.D25 31-50
Sep 03 / Labor Day -- No Class
Sep 04 / Trigonometry Review (Appendix D) / p.D25 51-64
Sep 05 / 1.5 Inverse Functions / p.47 87-96, 109-131, 137, 151
Sep 07 / 1.6 Exponential and Logarithmic Functions / p.54 1-16, 19-28, 31-40, 41-89 (odd)
Sep 10 / 2.4 Continuity and One-Sided Limits / p.98 1-18, 29-33, 37-51 (odd), 63-65, 75, 76, 87, 88, 91-94
Sep 11 / 2.2 Finding Limits Graphically and Numerically / p.75 1-27 (odd), 31-41 (odd), 49, 65-69
Sep 12 / 2.3 Evaluating Limits Analytically / p.87 1-63 (odd), 69-71, 83, 89-92, 107, 108
Sep 14 / 2.5 Infinite Limits / p.108 1-4, 5-23 (odd), 33-49, 65, 69
Sep 17 / 3.1 The Derivative and the Tangent Line Problem / p.123 1-35 (odd), 71, 73, 75, 81-83
Sep 18 / 3.2 Basic Differentiation Rules / p.136 1-24, 31-52, 57, 59, 83-88, 93, 95, 103, 104, 107, 108
Sep 19 / 3.3 Product and Quotient Rules / p.147 1-19 (odd), 27-57 (odd)
Sep 21 / 3.3 Product, Quotient and Chain Rules / p.147 73-76, 87, 88, 91, 97-104
Sep 24 / 3.4 The Chain Rule / p.161 1-33 (odd), 49, 55-70, 101-105, 107-110
Sep 25 / 3.5 Implicit Differentiation / p.162 71-91 (odd), 123-138
p.171 1-13 (odd), 21, 23, 25-29, 35, 37, 41, 45, 65-73 (odd)
Sep 26 / 3.6 Derivatives of Inverse Functions / p.179 1-23 (odd)
Sep 28 / 3.6 Derivatives of Inverse Functions / p.179 25-33 (odd), 45, 47, 67, 69
Oct 01 / 3.8 Newton's Method / p.195 1, 2, 5, 13, 17, 27, 28
Oct 02 / 3.7 Related Rates / p.187 1-7 (odd), 13-23 (odd), 27, 33
Oct 03 / Review for Test 1
Oct 05 / Test 1
Oct 08 / 4.1 Extrema on an Interval / p.209 1-29 (odd), 75
Oct 09 / 4.2 Rolle's Theorem and the MVT / p.216 1-15 (odd), 33, 41, 43-49 (odd)
Oct 10 / 4.3 Increasing and Decreasing Functions / p.226 1-25 (odd), 41, 43, 87
Oct 12 / 4.4 Concavity and the Second Derivative Test / p.235 1-7 (odd), 11-19 (odd), 25, 29-43 (odd)
Oct 15 / 4.4 Concavity and the Second Derivative Test / p.235 49, 51, 73, 81, 83
Oct 16 / 2.5 Infinite Limits - revisited / p.108 1-4, 5-23 (odd), 33-49, 65, 69
Oct 17 / 4.5 Limits at Infinity / p.245 3-8, 15-37 (odd)
Oct 19 / 4.5 Limits at Infinity / p.245 41, 47-53 (odd)
Oct 22 / 4.6 Curve Sketching / p.255 7-19 (odd), 25-33 (odd), 41, 82, 83, 85
Oct 23 / 4.7 Optimization Problems / p.265 3-15 (odd), 19, 23-25, 27, 39, 41, 54
Oct 24 / 5.2 Area / p.303 1-11 (odd), 15-19, 23-29 (odd)
Oct 26 / 5.2 Area / p.303 31-43 (odd), 47-55 (odd)
Oct 29 / 5.3 Riemann Sums and Definite Integrals / p.314 3-17 (odd), 23-33 (odd)
Oct 30 / 5.3 Riemann Sums and Definite Integrals / p.314 35-47 (odd), 55, 57, 71, 77, 79
Oct 31 / 5.4 The Fundamental Theorem of Calculus / p.327 1, 5-19 (odd), 27, 31, 35-49 (odd)
Nov 02 / 5.4 The Fundamental Theorem of Calculus / p.327 63, 64, 73, 79, 83-95 (odd)
Nov 05 / 5.1 Anti-Derivatives and Indefinite Integrals / p.291 1, 5, 15-43 (odd), 51, 53-56
Nov 06 / 5.1 Anti-Derivatives and Indefinite Integrals / p.291 63-73 (odd), 77, 79, 83, 87-93 (odd)
Nov 07 / 5.5 Integration by Substitution / p.340 1-37 (odd), 47-75 (odd)
Nov 09 / 5.5 Integration by Substitution / p.340 79-89 (odd)
Nov 12 / Review for Test 2
Nov 13 / Test 2
Nov 14 / 5.5 Integration by Substitution / p.340 95-109 (odd), 113, 117, 119
Nov 16 / 8.2 Integration by Parts / p.531 1-4, 11-29 (odd)
Thanksgiving Break
Nov 26 / 8.2 Integration by Parts / p.531 31-39 (odd), 47-63 (odd)
Nov 27 / 5.6 Numerical Integration / p.350 1, 5, 9, 11, 15, 19, 48, 49(a), 51, 53
Nov 28 / 5.7 The Natural Logarithmic Function / p.358 1-25 (odd), 29, 33, 35, 37, 49, 51, 53, 73, 77, 93
Nov 30 / 5.8 Inverse Trigonometric Functions / p.366 1-35 (odd), 53, 63, 65
Dec 03 / 5.9 Hyperbolic Functions / p.377 1, 7-9, 13-21 (odd), 25, 27, 29, 37, 39, 41
Dec 04 / Review For Final
Dec 05 / Review For Final