Math 129 - Calculus II Course Website
Section 21 (Spring 2008)
Basic Information
- Course Description: Continuation of MATH 124 or MATH 125. Techniques of symbolic and numerical integration, applications of the definite integral to geometry, physics, economics, and probability; differential equations from a numerical, graphical, and algebraic point of view; modeling using differential equations, approximations by Taylor series. A graphing calculator is required for this course.
- Location & Time: PAS 418 (Physics Building) Tuesday and Thursday 9:30-10:45 AM
- Instructor: Christopher Bergevin
- Office: Math 321
- Email: cbergevin [AT] math.arizona.edu
- Office Hours: Monday 3-5 and Wednesday 2-4
- Text: Calculus [Single Variable], Fourth Edition, by Hughes-Hallett et al. and published by Wiley
NOTE: It is essential that students read the book chapters (as outlined on the schedule for a given date) as we progress. If you do not read the book, you will quickly find yourself falling behind!
- Course Schedule (tentative) as a downloadable pdf
- Pre-Requisites - See below.
HW Assignments (WebAssign)
Homework will be assigned and collected online via WebAssign. Here is some WebAssign information that you will probably find useful. Using WebAssign will allow you to gain important practice in terms of solving problems and gaining insight into the nature of the material. These assignments will be supplemented with quizzes given in class each week.
Click here on the ASSIGNMENTS to get current info on assignments and WebAssign updates
Here is what you will need when you log on to webassign for the
first time:
- Your username is your email prefix (i.e. everything in your email address before the @)
- The institution is 'arizona'
- The password is 129sec21 (changing your password is recommended)
You will need to purchase an access code for Webassign, which is
available online on the webassign page. It costs 14.95.
This link has helpful WebAssign tips.
Helpful Slides
Below are class slides (in pdf form) created by Prof. Jim Cushing for Math 250A (Fall 2007). That class has parallels to those here in 129 and thus these slides cover much of the same material we do. Unfortunately since we don't have a computer in our classroom, we don't have any 'slides' of our own. However, you are encouraged to look these over as a supplement to your class notes and readings from the book. You will likely find them of great help in learning this material. As the semester progresses, I will continue to post relevant slides here for you to view.
- Integration I (7.1) - basics on integration
- Integration II (7.2) - integration by parts
- Integration III (7.3, 7.4) - partial fraction decomposition, table of integrals
- Integration IV (7.5, 7.6) - estimating integrals numerically
- Integration V (7.5, 7.6, 7.7) - improper integrals
- Integration VI (7.7, 7.8) - improper integrals
- Integration VII (7.8, 8.5) - improper integrals & applications (physics)
- Integration VII (8.1) - applications (geometry)
- Integration VIII (8.2) - applications (arc length)
- Sequences & Discrete Dynamical Systems (9.1)
- Convergence of Sequences and Limits, Geometric Series (finite) (9.1, 9.2)
- Infinite Series & Convergence (9.2)
- Convergence Tests for Infinite Series (9.3)
- Power Series, Taylor Polynomials (9.5, 10.1)
- Taylor Polynomials/Series (10.1, 10.2)
- Taylor Series & Applications (10.2, 10.3)
129 Pre-Requisites
Students coming into 129 are expected to have knowledge of the main topics covered in 124/125. From the course text (Hughes-Hallet et al.), this includes chapters 1.1-1.8, 2.1-2.6, 3.1-3.9, 4.1-4.3, 4.5-4.8, 5.1-5.4, and 6.1-6.5. This material will serve at the foundation for the topics (covered at a fast pace!) in 129. Spelling these topics out more explicitly, students coming into 129 are expected to feel comfortable with the following:
- dealing with basic functions and analytical analysis
- what a derivative is and how to use it in various applications
- various methods for differentiation (e.g. chain rule, product rule)
- l'Hopital's Rule and parametric equations
- definite integrals and the Fundamental Theorem of Calculus
- general methods for finding anti-derivatives
- basics of differential equations (ch.6.3)
On the first day of class (1/17/08), a diagnostic pre-test was given (you can download a pdf of it here). The test touched upon the above mentioned topics. It is important that students taking 129 feel comfortable with this material. Solutions can be found here. If you are having trouble with these problems, you need to contact me ASAP.
⇒ You will also find useful review info (both for 124/125 and 129) at the department's calculus webpage. This page contains study guides, review problems and useful links.
Exams (tentative dates; potentially subject to change)
Exam 1: Thursday, Feb.7, 2008 [Review Tips] , SOLUTIONS
Exam 2: Thursday, Mar.13 [Review Tips] , SOLUTIONS
Exam 3: Thursday, May 1 [Review Tips]
*** Final Exam *** : Monday, May 12, 8-10 AM
Location: Koffler 204 (this is the building just to the west of the science library)
NOTE: this s NOT our regular classroom!
Make sure you get there on time, as the proctors will be very strict about time. Note that you will NOT be given a comprehensive formula sheet, but you will be given a table of integrals.
- This link provides an overview of the guidelines the actual final exam (e.g. tips for how to prepare, what you will/will not be allowed to bring, etc.).
- This website link provides a study guide for the final exam and sample test questions. Highly recommended you look it over and spend some time on these problems.
During the exams, all electronic devices (particularly cell phones) must be turned off. Silence and vibration modes are not allowed. While calculators are allowed for the exam, you can not swap a calculator with another student.
As indicated in the course policy below, no makeup exams will be given. It is very important that you are present in class for the three exams and the final (as these determine more than 80% of your final grade!). Exceptions in extreme cases may be granted, but only upon prior approval.
Course Policy
- Attendance: Students are expected to attend every scheduled class, and to be familiar with the
University Class Attendance policy as it appears in the General Catalog. It is the student's responsibility to keep informed of any announcements, syllabus adjustments, or policy changes made during scheduled classes. Students may be administratively dropped if they miss more than three classes and/or the first class on 1/17 (since there is a wait list to get into the class).
- Homework: Homework
problems will be assigned regularly and graded online (see me for
passcodes). Quizzes based on homework assignments will be given in
class on a regular basis. A final score, equivalent to 100 points, will
be computed from the online and quiz results. For each assignment,
online and quiz will each contribute to 50% of the homework score. Only
the 10 best homework scores will be kept.
- Calculator:
A graphics calculator is an important tool that will be used in this
course. Students are expected to have a working calculator for each
test and exam. No calculator swapping is permitted during testing
periods.
- Tests: There will be three tests and a final exam. The test schedule is indicated above. There will be no make-up tests. The University has scheduled the final exam for Friday, May 12 from 8-10 AM The University's Exam regulations for final exam week
will be strictly followed, in particular those regarding students with
multiple exams on a single day. Each exam will be worth 100 points and
the final exam worth 200 points.
- Grades: The total number of points available on the tests and homework is 600. Grades will be no lower than as listed below:
- 540 < points (90% to 100%): A
- 480 < points < 539 (80% to 90%): B
- 420 < points < 479 (70% to 80%): C
- 360 < points < 419 (60% to 70%): D
- points < 359 (0% to 60%): E
- Incomplete Grades: The grade of I will be awarded if all of the following conditions are met:
- The student has completed all but a small portion of the required work.
- The student has scored at least 50% on the work completed.
- The student has a valid reason for not completing the course on time.
- The student agrees to make up the material in a short period of time.
- The student asks for the incomplete before grades are due, 48 hours after the final exam.
For general information on grades and the grading system, see the University Policy.
- Classroom Conduct: Students at The University of Arizona are expected to conform to the standards of conduct established in the Student Code of Conduct. Prohibited conduct includes:
- All forms of student academic dishonesty, including cheating, fabrication, facilitating academic dishonesty, and plagiarism.
- Interfering
with University or University-sponsored activities, including but not
limited to classroom related activities, studying, teaching, research,
intellectual or creative endeavor, administration, service or the
provision of communication, computing or emergency services.
- Endangering,
threatening, or causing physical harm to any member of the University
community or to oneself or causing reasonable apprehension of such
harm.
- Engaging in harassment or
unlawful discriminatory activities on the basis of age, ethnicity,
gender, handicapping condition, national origin, race, religion, sexual
orientation, or veteran status, or violating University rules governing
harassment or discrimination.
Students found to be in violation of the Code are subject to disciplinary action.
- Academic Integrity: Students are responsible to be informed of University policies regarding the Code of Academic Integrity.
Students found to be in violation of the Code are subject to sanctions
that will be determined by the severity of the infraction. The Code of
Academic Integrity will be enforced in all areas of the course,
including projects, tests, and homework.
- Students Who Require Reasonable Accommodations Based on Disability:
Students planning to use accommodations for this course should
privately identify themselves to their instructor within the first few
days of class. These students must also provide the instructor with a
letter of identification from the Disability Resource Center. This
letter should include information about any accommodation that will be
needed for the class, including accommodations for test taking.
Students are also invited to discuss specific issues with the course
instructor during regular office hours or by appointment.
- Withdrawal Dates:
- Last day to drop courses resulting in deletion of course enrollment from record: Tuesday, Feb.12.
- Withdrawal
deadline (instructor's signature on a Change of Schedule form is required): Tuesday, Mar.11. The University allows withdrawals after this date, but only with the Dean's signature. Late withdrawals will be dealt with on a case by case basis, and requests for late withdrawals with a W without a valid reason may or may not be honored.
Useful Links