MATH 1A - SYLLABUSPEYAM TABRIZIANWelcome to Math 1A! This is the syllabus for the course. Here you canfind all the info about office hours, grading, etc., as well as an outline forthe course.• Instructor: Peyam Ryan Tabrizian• E-mail: [email protected] or [email protected]• Office: 830 Evans• Class meeting times: This course meets for 8 weeks (June 20 -August 12), MTWTF from 10:10 am to 12 pm in 285 Cory. Unlikewhat the schedule says, there will be no separate discussion sec-tion; instead I will mix lecture and discussion together. You are notrequired to come to class, but you are responsible for the materialyou’re missing.• Office Hours: MTWTh 12-1 pm in 830 Evans and by appoint-ment. I really enjoy holding office hours, so don’t feel ashamed toe-mail me to set up an appointment with me! I will also hold anextra office hour from 12 to 1 pm the Thursdays before the exams.• Waitlist: I have no control over the waitlist! The person you shouldcontact is Barbara Peavy. Her office is 967 Evans, and her e-mail [email protected].• Important Dates:- Friday, 06/24: Deadline to withdraw or add/drop with refund- Friday, 07/01: Deadline to withdraw or add/drop without re-fund- Monday, 07/04: Holiday (Independence Day), no class- Friday, 07/29: Deadline to change grading option- Friday, 08/12: Last day of classes / Final ExamDate: Monday, June 20th, 2011.12 PEYAM TABRIZIAN• Online resources you can use:- www.math.berkeley.edu/∼peyam: This is the most importantresource. It contains handouts, all the homework assignments,a schedule, practice exams, and study guides.- bspace.berkeley.edu: Use this to check your grades. I will alsosend important announcements which you should receive inyour e-mail inbox.- www.piazzza.com: This is a really cool and interactive forumtool. Whenever you have a question, post it on this site, and I(or one of your classmates) will do my best to answer it. Plus,we can have chatroom-like discussions, which will be espe-cially useful before the exams.• Recommended equipment: Colored pencils, because I will be us-ing a lot of colored chalk during lecture and because they make yournotes easier to read.• Textbook: The textbook of the course is Stewart’s “Single VariableCalculus: Early Transcendentals for UC Berkeley” (ISBN: 978-1-424-05500-5). You only need it to do the homework assignmentsand to review anything that confused you in lecture. So if you pho-tocopy all the homework problems from a friend, you don’t evenneed to buy the textbook! On the exams, I will NEVER ask youanything that is in the book but not on the homework or that Ihaven’t covered in lecture.• Prerequisites: The official prerequisites are “Three and one-halfyears of high school math, including trigonometry and analytic ge-ometry, plus a satisfactory grade in one of the following: CEEBMAT test, an AP test, the UC/CSU math diagnostic test, or Math32 (Precalculus)”, but basically if most of Chapter 1 is review toyou, then you should be fine! If this course is too difficult for you,consider taking Math 16A (an easier and more applied version ofcalculus, intended for business/humanities majors) or Math 32 (Pre-calculus).MATH 1A - SYLLABUS 3• What people make you believe this course is about: The offi-cial description includes “An introduction to differential and inte-gral calculus of functions of one variable, with applications and anintroduction to transcendental functions.” We will cover the follow-ing topics:I- Review of Precalculus: Functions, Trigonometry, Exponents,Inverse FunctionsII- Limits and DerivativesIII- Differentiation rulesIV- Application of differentiationV- IntegralsVI- Applications of integration• What this course is really about: The truth of the matter is that,in a couple of years, you will probably forget all about calculus, soteaching you differentiation techniques cannot be the real purposeof this course (that would be pretty inefficient). Instead, the truegoals of this course are twofold:First, as Steve Krantz puts it in his book “How to teach Math-ematics”, I am really teaching you about mathematical discourseand critical thought. Just like in rhetoric, philosophy or politics,mathematics has its own language and way of thinking. How does amathematician deal with an unknown problem? What methods doeshe/she use? What does he/she do when a given method doesn’twork? Getting acquainted with all those different types of dis-courses is what your college education is really about.Second, my own goal for you is to offer you a glimpse of thebeauty of mathematics through this course. Calculus is a gorgeousand exciting subject, and I will try my best to share its beauty withyou. I also want to show you that math is not a random bag of magictricks, but actually ‘makes sense’!4 PEYAM TABRIZIAN• Grading:– Homework (10 %, due on Tue/Th, graded on completeness)– Midterm 1 (20 %, 07/01)– Midterm 2 (20 %, 07/15)– Midterm 3 (20 %, 07/29)– Choice between: Classic Final (30 %, 08/12, almost not cu-mulative) OR Final Deluxe (50 %, 08/12, cumulative, replacesyour lowest midterm score)The reason that there are 3 midterms is to reduce your workload(less to study for each exam), and to get rid of unpleasant/hard top-ics (related rates, MVT, optimization), so that you won’t ever haveto see them again, not even on the final!The Classic Final covers sections 5.1 - 5.5, 6.1, 6.5 (like a fourthmidterm), as well as 2.3, 2.6, 3.1-3.6, and 4.1. The Final Deluxecovers everything we learned in this course!• Course Grades:– A = [85, 100]– B = [70, 85)– C = [40, 70)The above scale is a guarantee, i.e. you are guaranteed to getsome sort of an A with an 85 %, no matter how everyone else isdoing. At the end of the course, I will also curve the class (but notthe usual bell-curve), and your final grade will be the maximum ofthe grade based on the above scale, and the grade based on curvingthe class. So, depending on how everyone else is doing, it is entirelypossible to get an A with just a 70 %.• How to ace the exams: All you have to do is do your homeworkseriously, look at the study guides, and do the mock exams whichI’ll post on my website. If you’re running out of time, just do themock exam, and if, on the other hand, you have a lot of time onyour hands, do some of the practice exams on my website and re-read your notes. There will be no surprises on the exams!MATH 1A - SYLLABUS 5• Homeworks: Homeworks are due