18.01 - Calculus (Spring 2014)

### Office: E18-320

### Email: ecamacho[at]mit.edu

### Recitation Instructor:

David Jackson-Hanene,

E17-301AB,

djhanen[at]mit.edu

### Lectures: T R 11:00am, F 2:00pm in E17-139

### Office Hours:

Lecturer: T 9:00-10:00 am,

R 9:45-10:45am in E18-320,

David: W 5:00-7:00 pm in
E17-301AB

### Other: Please see below for course updates

Class handouts under Problem Set link

## COURSE INFORMATION

**Prerequisites:** High school algebra and trigonometry

**Text Book:** Calculus with Analytic Geometric (2nd edition), by George Simmons.

**Supplementary notes:** In addition to the textbook, you will also need to download (for free) the Supplementary Notes. These notes were written by David Jerison and Arthur Mattuck and were designed to supplement the text. They are also available for Print-On-Demand from CopyTech for a small fee.

**Announcements:** Please check email and course website on a regular basis for any announcement

**Tutoring:** The Math Learning Center offers tutoring Monday through Thursday 3:00-5:00pm and 7:30-9:30pm. It is staffed by people who can answer questions about the course material, homework, and math in general. You can either walk-in or set up a
one-on-one appointment.

**Homework:** Problem sets will be posted on this course website on Thursday and due the following Thursday at 11:00 am. Problem sets must be turned in Lecture and no later than 11:10am on the day they are due.
This is the only valid method of turning in homework for this course. Late homework will not be accepted. However, your lowest homework score will be dropped, so one missing
homework will not affect your grade.

**Exams:** There will be four one-hour-long midterm exams throughout the semester (on Feb. 28, Mar. 21, Apr. 18, and May 8) and one final exam at the end of the semester during the week of May 19-23. There will be no make-up exams; however, for at most one missed exam due to an emergency your grade for the missed midterm will be replaced with the score of your final exam. If you know ahead of time that you will be missing a midterm exam for a valid reason you must schedule (at least a week in advance) with the instructor in order to take this exam ahead of time.

** Grades:**The final grades will be computed by weighting your work as follows:

Problem sets 25%

Midterm exams 40% total (10% each)

Final exam 35%

You can view your course grades at any time by
visiting our Stellar webpage. However, please know that only the final grade will reflect the dropped problem set.

## COURSE DESCRIPTION

Differentiation and integration of functions of one variable, with applications. Informal treatment of limits and continuity. Differentiation: definition, rules, application to graphing, rates, approximations, and extremum problems. Indefinite integration; separable first-order differential equations. Definite integral; fundamental theorem of calculus. Applications of integration to geometry and science. Elementary functions. Techniques of integration. Polar coordinates. L'Hopital's rule. Improper integrals. Infinite series: geometric, p-harmonic, simple comparison tests, power series for some elementary functions.

**Course Organization:** The format of the course is three lectures and two recitations every week.

**Schedule:** Please see the tentative schedule under syllabus for a detailed schedule. The middle column on the schedule contains the relevant sections
of the text book (e.g., 2.1) and/or supplementary notes (e.g., G). I encourage you to read these sections before lecture.

**Other Resources:** A version of this course is available on OCW Scholar. It was designed for self-study and covers slightly different material. However, it is an excellent, alternate, and optional resource to review
the material that we will cover in this course.

**Academic Integrity:** Each student has an obligation to act with honesty and integrity, and to respect the rights of others in carrying out all academic assignments.
However, you are highly encouraged to work and study with your classmates because this can help you learn the material. You can collaborate on homework
problems and figure them out jointly but *each person must turn in their own solution and it must be in their own words*. You should include the names of the people that
work with you on the top of the first page of your homework. Having the same idea on how to solve a problem is not cheating but implementing it, line by line, in exactly
the same way is not allowed.

*It is illegal to consult any outside sources for the homework.* This includes solutions from
previous years, the internet, other textbooks, journal articles, etc. The only exception to this rule is the
Supplemenatary Notes, which you are encouraged to use.

**Study habits:** Homework is essential in this course. It will be challenging and sometimes long but will help you learn the material. It is extremely important that you READ THE BOOK before attempting to do each homework assignment. The reading is often slow-going; it is not like reading a novel. Use pencil and paper to work through the material as you read it, filling in omitted steps. If, for example, the author says, “ A computation shows that . . . ,” you should take your pencil and do that computation. If you read a paragraph but do not understand the gist of it, you may have to re-read it again and as many times as it is necessary in order to understand it. There will be times when I will not lecture on a topic at all, but instead ask you to learn it by reading the book and doing homework problems.

You cannot expect to instantly understand everything that is said in class. You might have to be satisfied with just picking up a general idea during class and then sorting out the details later, using your class notes and the book (and/or going to office hours). It is essential, however, that you attempt to engage the material in class by asking questions on things that you are not sure about. Studying and engaging the course material should be done on a regular basis, not just the night before the homework is due.

## RECENT UPDATE

**[01.09.2014]** Welcome to the spring semester!