Calculus II, Sections 01 and 03 (Math 258)
Instructor: M. Kate Kearney
E-Mail: kearney@gonzaga.edu
Office Number: Herak 227B
Office Hours: 11:00-11:50 MWRF (Fridays in Math Lab) or by appointment

Homework: Is posted here.

Course Announcements:

Useful links:
• Here are some demos for visualizing the applications of integration that we will discuss in Chapter 7:
Demos with Positive Impact
Disks at Wolfram Demos
Shells at Wolfram Demos



Syllabus
Calculus II covers inverse functions, techniques of integration, applications of integration and series. After completion of this course students will be able to:
• calculate inverses of a variety of functions
• calculate the derivatives and integrals of inverses of common functions
• evaluate a wide range of integrals using diverse techniques.
• use the language sequences and series to discuss limiting behaviors.
• apply integrals to solve a range of problems, including to find volumes of three-dimensional figures

Section 01 meets MWF 9:00-9:50 in Jepson 111 and Tuesdays 8:25-9:15 in PACCAR 005. Section 03 meets MWF 1:10-2:00 in Herak 301 and Tuesdays 1:15-2:05 in PACCAR 005. In accordance with Gonzaga's attendance policy you should not miss more than 8 meetings of this course.

We will be using the book Essential Calculus, Second Edition by James Stewart.



Grades will be assigned based on 24 "events". Homework will count as two events. The remaining 22 will be earned through weekly trials in class and will cover 22 topics in our book (see below for details).

Your total grade will be calculated out of 24 and will be totaled by the number of Gold, Silver, and Bronze medals you earn in the 24 events. Your score will be
(# of Gold medals) + 2/3*(# of Silver medals) + 1/3*(# of Bronze medals).
This number will be divided by 24 and your grade will be determined as follows:
90-100%A
80-89%B
70-79%C
60-69%D
<60%F
*Please note that this is a different grading system than I have used in the past. As such, I reserve the right to adjust the grading system at any point during the semester. However, I will not make adjustments that will result in a lower grade than what you would receive according to the schematic shown above.

Homework Your homework for the entire semester is posted here. You may turn in homework at whatever rate you complete it. It is recommended that you begin work on a section immediately after it is covered in class. Homework is intended to be your chance to practice for weekly trials. You may do as many or as few problems as you feel necessary on a given section. However, you should make sure you've completed enough to be prepared for the trials. Your homework grade will be based solely on completion. You will receive a point for each section you complete. Homework will count as two events. Your medals in those events will be based on how many sections you have completed.

Trials Each week, beginning in week two, we will hold trials on Fridays in class. You will have the opportunity to earn medals in your choice of any of the events on topics we have covered so far. Most events will involve multi-part questions or an option of questions so that you will have a chance to earn Gold, Silver, or Bronze medals in that event. Each question will be graded only on a pass/fail basis (hence you either earn the medal or you don't). However, you may attempt any event as many times as you wish. If you earn a Bronze or Silver medal in an event, you may attempt that event again at a future trial to go for a Gold. If you earn a higher medal, it replaces your lower medal. You will never lose medals you have already earned. Your last trial will be during the scheduled final exam time. This will be a final attempt to medal in any event you still need and will not run any different from the previous trials except that you will have more time.

Event Topic First available trial
1General Logarithmic and Exponential Functions Sept 9
2Exponential Growth and Decay Sept 9
3Inverse Trigonometric Functions Sept 16
4Hyperbolic Functions Sept 23
5Indeterminate forms and l'Hospital's Rule Sept 23
6Integration by Parts Sept 30
7Trigonometric Integrals and Substitutions Oct 7
8Partial Fractions Oct 7
9Mixed Integration Techniques Oct 7
10Improper Integrals Oct 14
11Sequences Oct 21
12Series Oct 21
13The Integral and Comparison Tests Oct 28
14Other Convergence Tests Nov 4
15Power Series Nov 11
16Representing Functions as Power Series Nov 11
17Taylor and Maclaurin Series Nov 18
18Areas Between Curves Nov 18
19Volumes Dec 2
20Arc Length Dec 2
21Area of a Surface of Revolution Dec 9
22Applications to Physics and Engineering Dec 9

Finals The final for section 01 will be held Wednesday, December 14 8:00-10:00 am. The final for section 03 will be held Thursday, December 15 1:00-3:00 pm. This follows the University's official finals schedule. Students from either section may request to take their final with the other section. Permission will be granted by the Professor as space allows.

Missed trials If you miss a trial, you may not need to make it up. You will have still be able to try all events that you haven't yet medaled in at the next trial. If you miss more than one trial you may consult your Professor about a make-up trial so that you will have enough time to attempt each event.

Calculators will not be allowed on any trials.



Additional Help
Please take advantage of the math department's free tutoring center in Herak 224. Check the schedule for times and tutor schedules. You are also encouraged to come to office hours regularly and ask questions after class.

Academic Integrity
While collaboration and good use of resources are important for the learning process, you are expected to complete all your work on your own. You may talk with other people about how to solve homework problems, but your write-up should be done individually. Quizzes and tests are strictly your own work and any evidence of sources outside your own brain will be considered cheating. Sharing your work inappropriately with another student is also considered cheating.

Any cases of cheating will be dealt with seriously. You will be asked to meet with me and the math department chair. Severe cases may result in failure of the course and will be reported to the Dean.

Please refer to the student handbook for a description of the University's Academic Honesty policy.



A NOTE ON HARASSMENT, DISCRIMINATION AND SEXUAL MISCONDUCT:

Consistent with its mission, Gonzaga seeks to assure all community members learn and work in a welcoming and inclusive environment. Title VII, Title IX and Gonzaga's policy prohibit harassment, discrimination and sexual misconduct. Gonzaga encourages anyone experiencing harassment, discrimination or sexual misconduct to talk to someone from the Campus and Local Resources list found in the Student Code of Conduct Website: http://www.gonzaga.edu/Student-Life/Community-Standards/Student-Code-of-Conduct.asp about what happened so they can get the support they need and Gonzaga can respond appropriately. There are both confidential and non-confidential resources and reporting options available to you. Gonzaga is legally obligated to respond to reports of sexual misconduct, and therefore we cannot guarantee the confidentiality of a report, unless made to a confidential resource. Responses may vary from support services to formal investigations. As a faculty member, I am required to report incidents of sexual misconduct and thus cannot guarantee confidentiality. I must provide our Title IX coordinator with relevant details such as the names of those involved in the incident. For more information about policies and resources or reporting options, please visit the following websites: www.gonzaga.edu/eo and www.gonzaga.edu/titleix.

NOTICE TO STUDENTS WITH DISABILITIES/MEDICAL CONDITIONS:

The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehensive civil rights protection for persons with disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides reasonable accommodation for their disabilities. If you believe you have a disability/medical condition requiring an accommodation, please call or visit the Disability Access office (room 209 Foley Library, 509-313-4134).

CLASS ATTENDANCE:

I follow strictly the university's standard policy on absences: the maximum allowable absence is two class hours (100 minutes) for each class credit. For a three-credit class meeting three times a week, the maximum number of absences allowed is six. For a three-credit class meeting twice a week, the maximum number of absences allowed is four. The grade for excessive absences is "V", which has the same effect as "F" (Fail) and is counted in the GPA. (See also "Class Attendance Policy" on page 68 of the University's online catalogue: http://www.gonzaga.edu/catalogues/PDF-archive/2014-2015UGCatalogue.pdf)

ACADEMIC HONESTY:

Academic honesty is expected of all Gonzaga University students. Academic dishonesty includes, but is not limited to cheating, plagiarism, and theft. Any student found guilty of academic dishonesty is subject to disciplinary action, which may include, but is not limited to, (1) a failing grade for the test or assignment in question, (2) a failing grade for the course, or (3) a recommendation for dismissal from the University. (See also "Academic Honesty" on page 67 of the University's online catalogue: http://www.gonzaga.edu/catalogues/PDF-archive/2014-2015UGCatalogue.pdf )

COURSE EVALUATION:

At Gonzaga, we take teaching seriously, and we ask our students to evaluate their courses and instructors so that we can provide the best possible learning experience. In that spirit, we ask students to give us feedback on their classroom experience near the end of the semester. I will ask you to take a few minutes then to carry out course/instructor evaluation on-line. Please know that I appreciate your participation in this process. This is a vital part of our efforts at Gonzaga to improve continually our teaching, our academic programs, and our entire educational effort.