*Math 175 Section 2: Calculus II.*

(For a more detailed version, see here.)

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**Instructor:** Andres Caicedo.

**Time:** MTuWF 9:40-10:30 am.

**Place:** Multipurpose building, Room 208.

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**Text:** Hass, Weir, Thomas, *University Calculus, *Addison-Wesley (2007). Part I suffices.

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**Contents:** Chapters 6-9. I will frequently update the page for this syllabus with more detailed week to week descriptions. My general plan is a bit ambitious, and leaves a few additional hours free at the end of the semester, where additional topics could be covered. These hours will also act as a buffer in case some topics require more time than originally intended.

Roughly:

- We will begin with a (very quick) review of Calculus I. You are responsible for whatever material should have been covered in Calculus I (including Integration, Chapter 5), even if the course you took did not cover some of these topics; consult the online department course description for a brief outline. It will be particularly useful throughout the term if you review: Definitions of the notions of derivative and definite integral, and the definition of limit, trigonometric identities, and the material on polynomials typically covered in precalculus or algebra courses.
- We will continue with Chapter 6 (Applications of definite integration).
- We will then jump to Chapter 9 (Polar coordinates and conics).
- We will then go back and cover Chapter 7 (Techniques of integration). While covering Section 7.7, we will also study part of Section 8.9 (the material concerning Taylor polynomials and error terms.)
- Finally, we will cover Chapter 8 (Infinite sequences and series). If there is some time left at the end, we will cover some additional topics related to this chapter or to Chapter 7.

**Prerequisites:** 170 (Calculus I) or equivalent.

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**Exams:** There will be 2 in-class exams and a comprehensive final exam.

- Exam 1: Friday, September 25. Should cover Chapters 6 and 9.
- Exam 2: Friday, October 30. Should cover Chapters 7 and 8 (up to about half of section 8.7).
- Final exam: Monday, December 14, 10:30 am – 12:30 pm.

Dates and times are non-negotiable. Failure to take a exam will be graded as a score of 0. There will be no make up for the final exam. For the in-class exams, a make up can be arranged if I am notified **prior** to the exam date and a **valid** reason is presented; keep in mind that make up exams will be more difficult than regular in-class exams.

You need to provide me during the first week of classes with **3 blue books** with your name on them, and the pages blank. One will be returned to you prior to each exam. You should solve the exams in these blue books, and won’t be allowed to turn in any other paper, even if it is a blue book that you bring to class the day of the exam.

**Quizzes:** There will be bi-weekly quizzes, on the last 20 minutes of Friday’s lecture. Each quiz will evaluate, roughly, the material covered the last two weeks (except for the Friday of the quiz itself). You are * not *allowed to only show up about 20 minutes before the end of the lecture in order to take the quiz. If you fail to take a quiz, it will be graded as 0. There are no make-up quizzes. I may increase the frequency, if need be. In that case, I will notify at least a week in advance, both during lecture and in the syllabus page.

For each quiz, I will provide you with a page with the question(s) printed. You may use this page to solve the questions. You need to bring any additional pages you may require.

*Notes from class, textbooks, and calculators, are allowed during exams and quizzes. Bring your own pen, pencil, eraser, etc.*

**Homework: **I will frequently assign homework. This is not to be graded, or collected, but rather a guide for you to have an idea of what material to focus on, and what kind of skills are required from you. It is a **very good** idea to do **all** of the assigned homework. During office hours, you are welcome to ask about problems from the assigned sets. Some of the problems from the quizzes will be fairly close, if not outright identical, to homework problems.

**Grading:**

- Quizzes: 35%. (Each quiz will weigh the same towards the final grade.)
- Exam 1: 20%.
- Exam 2: 20%.
- Final exam: 25%.

I will then grade on a linear scale:

- If your final score is 90% or higher, you receive an A.
- If it is between 80 and 89%, you receive a B.
- If it is between 70 and 79%, you receive a C.
- If it is between 60 and 69% you receive a D.
- If it is 59% or lower, you receive an F.
- There may be a small curve up if the distribution of scores warrants this. Plus and minus grades might be used for grades near the top or bottom of a grade range.

**Attendance:** Not required, but encouraged. I will use this website to post any additional information, and encourage you to use the comments feature, but (in general) I will not post here standard content covered in the textbook and in class. If you leave a comment, please use your **full name**, which will simplify my life filtering spam out.

**Core outcomes:** In this class you will be assessed on a wide range of skills. Among these, the following make Math 175 a part of the University Core. By the end of the course, you should be able to:

- Identify and appropriately apply different integration techniques.
- Express solutions using (reasonably) correct mathematical language.
- Know that integration is an inverse operation to differentiation, and can be used to measure lengths, areas, and volumes, among others.
- Formally manipulate power series and justify rigorously these manipulations.
- Solve (separable) differential equations using the integration techniques covered throughout the course.

In order, these correspond (among others) to the following University Core Outcomes:

- Apply and evaluate a variety of strategies for solving a problem. / Interpret written materials.
- Write clearly for specific purposes and audiences.
- Demonstrate an understanding of the essential concepts underlying theories in the field. / Apply theories to typical problems in the field.
- Demonstrate an understanding of the basic methods of inquiry used in this field.
- Apply theories to typical problems in the field.