MTH151: Calculus and Analytic Geometry II

MTH151: Calculus and Analytic Geometry II

Instructor: Brian A. Anderson Office: ACD108 Office Phone: 906-932-4231 ext 261

Home Phone: 906-364-1475

Web Page: http://www5.gogebic.edu/physics/

Office Hours: I generally have an open door policy, and encourage you to stop by any time. If I am not in my office, please leave a message. I can also be reached through email quickly and will respond in kind. In certain circumstances I may be reached at home.

Class: MWThF 12-12:50pm

Text: Calculus (7^th ed.), by Larson, Hostetler, and Edwards.

Course Prerequisites: MTH 150 – Calculus and Analytic Geometry I (passing with “C” or better).

Course Description: We will study logarithmic, exponential, inverse trigonometric and hyperbolic functions, and the calculus as applied to those functions. Students will also study indeterminate limits, techniques of integration, infinite sequences and series, parametric equations, and polar coordinates. Applications include exponential growth and decay, L'Hopital's rule, Taylor series, area, and arc length of parametrized curves. It is expected that the Calculus I student will spend a minimum of 2-3 hours per class day on outside reading and homework type activities. Weekly study sessions can be arranged if enough students are interested.

It is expected that upon completion of the course students will be able to:

1. use exponential, logarithmic, inverse trigonometric, hyperbolic, and inverse hyperbolic functions in applications.

2. differentiate and integrate these functions, as well as other functions containing these as components.

3. evaluate indeterminate limits.

4. use techniques of integration such as substitution, integration by parts, partial fractions, or trigonometric substitution to evaluate integrals.

5. recognize and evaluate improper integrals of various types.

6. determine whether a given sequence or infinite series converges.

7. determine the Taylor or MacLaurin series for a given function, along with its radius of convergence.

8. give error bounds on the approximation of a function at a point by its Taylor or MacLaurin series.

9. be familiar with vector notation, and be able to work with vectors in the plane. Specific operations include dot and cross products, finding scalar components,

10. be able to work with vector-valued functions, and be able to perform calculus operations with them.

Teaching Philosophy: Though typically treated as a straight lecture course, it will vary from that presentation. Both the instructor and students will do problem exercises. To provide for this, the material will be required to be read by the student before class. The primary goal of my lectures is to guide you through the material. You have the primary responsibility for learning! The LESS is MORE philosophy will be undertaken during this course with the idea that the students work will aim to achieve a well-grounded understanding of the selected fundamental concepts as well as the process and thinking skills that enable and encourage independent thinking. The lecture time should be used to see example problems worked and to ask lots of questions.

Class and Grading Philosophy: I expect everyone to attend regularly, to participate in the problem exercises, and to ask questions. Attendance will be taken each class period. Past experience has shown that students that miss more than 3 classes have difficulty keeping up with the work required in this course. As this is a 4 credit course, you will be allowed 4 absences. Any unexcused absence in excess of these 4 will result in a 1% drop in your final grade (i.e.: 5 absences – your final grade will be lowered 1%, 9 absences – your final grade will be lowered 5%). In my experience, students learn the material when it is done by the students rather than by the instructor. I want everyone to enjoy this class, to show a reasonable effort at understanding the material, and to participate in the discussions. I reserve the right to ask students who are constantly disruptive to leave. I take a very dim view of cheating, and will not give credit to any work suspected of being the result of cheating! Any student caught cheating will automatically receive a failing mark for the course, and may face expulsion. Right now, everyone has an A - keep up with the class and that will be the case at the end of the semester as well! Classes may be rescheduled in cases of emergencies.

Homework: Homework will be assigned and completed using Eduspace, the web-based homework package powered by Blackboard. Each assignment will have a specific due date. No late homework will be accepted! I will usually allow 2 days for completion of any assignment. I believe in the importance of homework. Because the time given to complete homework will be more than time for exams, homework problems will generally be more difficult than those encountered on exams. Past experience shows that the people who do the homework will score higher on the exams!

Reading Quizzes and Exams: I will expect you to have read the material before class. Each week I may give a short quiz to test how well you understand the material. These quizzes may be given to assure that everyone is working to keep up with the course work. If you miss a quiz, it can not be made up! There will be 6 exams during the semester. The exams will concentrate on the material presented in class and covered in the homework assignments. Exams will consist of problems similar in nature to the homework problems. The date of exams will be announced in class.

Make-up Exams: You must present a college excuse before the exam, or in the case of a medical emergency as soon as possible, to be allowed to make-up a missed exam. Makeup exams must be taken no later than 1 week after the original exam date. Exams not taken within the 1-week period will be given a score of zero!

Grading Policy: Grades will be assigned based on homework, exams, and quizzes. I will use the standard 10-point scale (90-100 = A, etc).

Grade Breakdown for MTH151

Homework	25% of final grade
Quizzes	25% of final grade
Exams (6)	50% of final grade

I reserve the right to adjust the grading scale as needed. Grades will be assigned according to understanding, not according to effort!

Accommodation for Disability: ADA Statement: “Individuals with documented disabilities may request reasonable accommodations or information by contacting the Director of Student Support Services in the ACES Center, T105, or by calling (906) 932-4231, ext. 271. Reasonable accommodations and services will be provided to students upon the review of disability documentation and verification of need in accordance with federal, state, and Gogebic Community College guidelines.”

Severe Weather Policy: Since a significant number of students commute to campus from out of town, the situation may arise sometime during the semester when a student may question whether they are going to be able to make it to class. The instructors live near campus and will be here every class day. You may make your own judgment based on personal safety, etc… A student shouldn’t feel penalized if they are unable to attend. The student may wish notify the instructor by email. In cases of extremely severe weather, the college may close. Local radio stations will be notified to make announcements.