﻿ Calculus I (MAT 136) First Day Handout, Spring 2012
 Department of Mathematics and Statistics

# Welcome toCALCULUS I (MAT 136) Spring 2012

 MAT 136-01, LEC 2475 MWThF 8:00AM–8:50AM Adel Mathematics Room 221 MAT 136-08, LEC 2874 MTWTh 11:30AM–12:20PM Adel Mathematics Room 147
 INSTRUCTOR: Dr. Carol JVF Burns INSTRUCTOR'S SCHEDULE OFFICE: Adel Mathematics: Room 112 OFFICE PHONE: 928-523-6872 EMAIL: carol.fisher@nau.edu (my former name is Fisher—I was married last term!) WEBPAGE: http://www.onemathematicalcat.org (or google ‘math cat burns’) BBLEARN: (online learning environment) WEBWORK: webwork.math.nau.edu (online homework for MAT 136) WEBWORK SYNTAX: how to key math into WebWorks OFFICE HOURS: 9:00–10:00 MW, 9:00–11:00 Th CURRENT GRADE SHEET: shows all course assessments to date

## PREREQUISITES

A grade of C or better in MAT 125 (Precalculus) or satisfactory placement by the Department of Mathematics and Statistics.

## COURSE DESCRIPTION

MAT 136 covers calculus of one variable: basic concepts, interpretations, techniques, and applications of differentiation and integration.
This course has received certification in NAU's First Year Learning Initiative.

## STUDENT LEARNING OUTCOMES

Upon completion of the course, students should be able to: calculate limits by a variety of methods; use the deﬁnition of derivative to calculate derivatives; take derivatives of the basic algebraic and transcendental functions; use the chain rule to take derivatives of more complex functions; find tangent lines and rates of change; find maxima and minima of functions; find higher derivatives and use the information they provide; use logarithmic and implicit differentiation; find easy antiderivatives; calculate areas using the fundamental theorem of Calculus; use tables and substitution to evaluate integrals.

## COURSE STRUCTURE/APPROACH

This course will use a mix of lecture and web-based work.
You'll be introduced to multi-platform, web-based, free technologies, including GeoGebra and Wolfram|Alpha Computational Knowledge Engine.
You'll also use WebWork (online homework problems; choose ‘CBurns_136’).
Want to know what we're doing on a given day?
Many course materials, including daily activities and homework, are on the web:

## REQUIRED TEXTBOOK

MAT 136 Calculus I Lecture Notes, by J. Neuberger, N. Sieben, J. Swift
This concise and inexpensive text is available at AlphaGraphics, 12 N. Beaver St., Flagstaff, AZ 86001.
Details on binding options and pricing, as well as a form for reporting errors in the text, is available at:   http://jan.ucc.nau.edu/ns46/CLN/

## REQUIRED MATERIALS

3-RING BINDER and DIVIDER SHEETS
A 3-ring binder is required to organize all class materials. If desired, it can also hold your text for the course.
Please make tabs for FIRST DAY HANDOUT (this document), GRADE SHEET, and INDEX CARDS.
INDEX CARDS
Index cards (4" × 6", both sides un-ruled) are used to summarize important material. You will need about 100 index cards.
It is strongly recommended that you purchase a 3-hole punched plastic zippered pouch in which to keep your index cards.

## OPTIONAL MATERIALS

• You may prefer to use a graphing calculator for homework and explorations.
However, mastery of derivative and integral rules and function analysis without calculators is required.
• A calculator is not required for tests or quizzes.
If you choose to use a calculator for quizzes/tests, then it must be only a basic arithmetic calculator (plus, minus, multiply, divide, percent, square root).
Such calculators are readily available for under $10 (e.g., search for ‘four function pocket calculator’). You may not share calculators on quizzes or tests. ## OPTIONAL REFERENCE If you prefer a more traditional and complete text, then I highly recommend Single Variable Calculus, Concepts and Contexts by Stewart. ## COURSE OUTLINE and IMPORTANT DATES (including EXAMS) There are 59 class meetings throughout the term. The pace of content coverage may change slightly; however, exam dates will not change.  Week # dates # ofclasses approximate content notes 1 Jan 18–20 3 Chapter 1: preliminaries (review) 2 Jan 23–27 4 Finish Review. Chapter 2: the derivative MAJOR REVIEW QUIZ: Wednesday, January 25 students who have missed class during the first week may be administratively dropped; Thursday, January 26—last day to add/drop (no ‘W’ appears on transcript); you will receive a GPS (Grade Performance Status) email before this deadline 3 Jan 30–Feb 3 4 Chapter 2: the derivative 4 Feb 6–10 4 Chapter 2: the derivative EXAM #1: Friday, February 10 5 Feb 13–17 4 Chapter 3: derivative rules 6 Feb 20–24 4 Chapter 3: derivative rules 7 Feb 27–Mar 2 4 Chapter 3: derivative rules EXAM #2: Friday, March 2 8 Mar 5–9 4 Chapter 4: applications of derivatives SPRING BREAK is March 12–16. Enjoy! 9 Mar 19–23 4 Chapter 4: applications of derivatives Friday, March 23—last day to drop a class with a ‘W’ 10 Mar 26–30 4 Chapter 4: applications of derivatives 11 Apr 2–6 4 Chapters 5 & 6: integrals EXAM #3: Friday, April 6 12 Apr 9–13 4 Chapters 5 & 6: integrals 13 Apr 16–20 4 Chapters 5 & 6: integrals 14 Apr 23–27 4 Chapters 5 & 6: integrals EXAM #4: Friday, April 27 15 Apr 30–May 4 4 end-of-term week catch-up/review 16 May 7–10 finals week ## ASSESSMENTS and GRADE SHEET Each student is given a Grade Sheet that is maintained throughout the term—you'll know your current grade at every point in time. Every time an assessment is passed back, you'll update your grade sheet (see example below). Here are a few sample rows filled out:  SPRING TERM 2012 YOUR POINTS POSSIBLE POINTS # BRIEF DESCRIPTION DATE PTS EARNED CUM EARNED(C) MAXPTS CUMMAX(M) YOUR % GRADE100*(C/M)(round to tenths place) 1. Algebra Review (WebWorks) 1/20$16162020100\cdot\frac{16}{20} = 80$2. Algebra Review (in-class quiz) 1/25$4516+45=616060+20=80100\cdot\frac{61}{80} \approx 76$3. QQ points 1/27$561+5=66$---$80100\cdot\frac{66}{80} \approx 83$Assessments will consist of WeBWork homework, a full-period review quiz, quizzes, four in-term exams, index cards, attendance, and a cumulative final exam. Homework is assigned daily, as indicated on the daily syllabus. FINAL EXAM DATES:  8:00 class Monday, May 7 7:30 AM–9:30 AM 11:30 class Wednesday, May 9 10:00 AM–12:00 PM The cumulative final exam will count as 20% of your final course grade. You must take the final at the designated date and time—keep this in mind as you make your travel plans. (You definitely don't want a zero as 20% of your course grade.) An extreme exception: if you have three or more finals in the same 24-hour period, then you are allowed to reschedule one of the exams. ## QUICK QUIZZES At the beginning of each class there is a Quick Quiz (QQ), which consists of a basic question from the previous day's work. Pick up a piece of scrap paper as you enter: the long side goes up/down; name in upper-left; your number (see below) in upper-right. One purpose of the QQ is to get you to class on time—it is given at the scheduled start time, and there are absolutely no QQ make-ups. The QQ also gives me a complete attendance record (if you arrive late, there is a sheet you must sign). The Quick Quizzes are graded with a ‘1’ (one point) or an ‘N’ (Not completely correct). I keep track of your QQ points, and they are periodically added into your point total as BONUS POINTS. Quick Quizzes are discarded immediately after grading. Quick Quizzes can't hurt your grade, but they can certainly help! They can make a difference of a letter grade (especially if you're borderline). ## GRADING SYSTEM Grades will be based on a percentage not deviating significantly from the following scale:  A: 90-100% B: 80-89% C: 70-79% D: 60-69% F: 0-59% ## COURSE POLICIES • EXAMS Exams and quizzes are graded according to work displayed; correct answers without supporting work (where needed) will be given no credit. Show your work! No re-tests are allowed. All assessments are closed book, closed notes, closed neighbor, and open mind. • MAKE-UP POLICY There are no make-ups, except in the case of documented institutional absences, and dire emergencies. • MISSED ASSESSMENTS Life stuff happens, which may cause you to miss a quiz or a homework assignment. To account for a reasonable amount of ‘life stuff’, I will add 60 points into each student's point total at the end of the course. (This is equivalent to about three dropped small assessments.) So, you can count on these *bonus points* at the end of the term! • ATTENDANCE Attendance is important! Attendance is taken daily (via the Quick Quiz); attendance is mandatory. If you miss the Quick Quiz at the beginning of class, be sure to sign the clipboard for late arrivals. An attendance grade (maximum 60 points) will be added into your grade at the end of the term. You are allowed three absences; each additional absence lowers your attendance grade by 5 points. • CHEATING Cheating is BAD and is forbidden. Cheaters will be punished following university guidelines. • EXAM BEHAVIOR -- I must be able to see your eyes (think hats, hair, sunglasses, ...) -- No headphones are allowed during assessments. • CELL PHONES/TEXTING Out of respect for a classroom environment conducive to learning, cell phones should be put on vibrate or turned off. There should be no cell phone usage in class. In the case of an emergency, quietly leave the room to do any talking/texting (and then please come back). • FOOD IN CLASS Eating in class is discouraged. If you do need to eat something, please be sure it is non-messy, non-noisy, and non-smelly. ## MATH DEPARTMENT POLICIES The Mathematics Department will not accept homework. The Mathematics Department does not have calculators for students to borrow. ## HELP!!! HOW CAN I GET IT? • Ask questions in class. A question you have is likely a question that others have. Be the one brave enough to ask, and you'll do the entire class a favor. • Burning question? Too shy to ask? Write it on a piece of paper and drop it on my front desk (anonymously) as you leave. I'll address it at the beginning of the next class. • Come to my office hours. • The Student Learning Centers offer free tutoring, and much more. (Click on ‘Math Help’ in the left column.) • Walk-in tutoring by graduate students in the Resource Room: Adel Mathematics, Room #137 ## THE ‘INDEX CARD’ LECTURE METHOD All the important ideas in the course are summarized on index cards, which become a primary study source for exams and quizzes. You can mix up the order, so your learning isn't order-dependent. You can pull out cards that you already know. Here's how the ‘index card method’ works: • The index card material is available on the web (from the daily syllabus). YOU ARE EXPECTED TO WRITE UP THE INDEX CARDS BEFORE COMING TO CLASS. This index card material will be covered efficiently in class, to leave plenty of class time to work problems and go over homework. You will not have enough time during class to write down all the index card contents. Also, by having thought a bit about the material ahead of time, you will be better prepared to understand and ask good questions when we go over the material in class. • You will hand-copy (no cutting-and-pasting) the material onto$\,4'' \times 6''\,\$ index cards.
After the material has been covered in class, make sure you understand everything on your cards!
Feel free to add additional material to make the index cards more useful to you.
• Index cards are passed in and graded at the end of the term. Each card is worth 1 point (1/2 point for each side).

## CHANGES IN THE FIRST DAY HANDOUT

Events during the term may make it advisable to change information in this handout. Any such changes will be communicated during class.

On the first day of class, a form will be passed around where you will get your number for the term.
This number is written in the upper-right corner on all passed-in material.
MY NUMBER IS:

On average, you will need to spend two hours outside of class for each class day to be successful in this course.
If you're not putting in this time, then it's likely that you won't get the grade you desire.

## UNIVERSITY AND DEPARTMENT POLICIES—FALL 2011

Course Prerequisites and Placement: Prior to enrollment in a course in the Department of Mathematics and Statistics a student must have completed the course prerequisites or have proper placement for the course. It is the students' responsibility to check that they are properly enrolled in a course and to drop the course if they are not. Failure to do so could result in not receiving credit for the course. The department may cancel students' registration in a course in which they are not properly enrolled. However, it is the student's responsibility to monitor their own enrollment.

Administrative Drops: An instructor may administratively drop from a course any student who does not attend the first two class meetings. Students who have not met all prerequisites for a course may be administratively dropped. However, it is the student's responsibility to monitor their own enrollment.

Class Attendance: Students are expected to assume full responsibility for class attendance and are accountable for work missed because of absences. Instructors are under no obligation to make special arrangements for students who have been absent unless such absence has been excused by a formal institutional excuse. Institutional excuses permit a student to be absent from classes to represent the University in athletics and extracurricular or academic activities. Institutional excuses must be hand-delivered to the instructor and arrangements made for the work missed prior to the planned absence from class.

Dropping/Auditing a Course: The last day you may drop a course (and receive a W) is October 28, 2011. Academic policy requires that a student who never attended class or stopped attending class receive an F should the student fail to officially drop the course. The deadline to change from credit to audit or vice versa is September 9, 2011. Once a student has registered and completed a class as an auditor, the audit grade cannot be changed to a credit-earning grade. The grade of AU is awarded to auditors for satisfactory attendance. See the most recent Academic Catalog for more information.

The Grade of Incomplete: A grade of I is given by an instructor only if a student is unable to finish a course due to extraordinary, unforeseeable circumstances, and the deadline to drop has passed. An incomplete is only given to a student who was passing the course with a grade of C or higher at the time the student was forced to stop attending. Before a grade of I can be given the student and instructor must complete the official department form indicating the work to be completed, as well as the date(s) by which the work must be completed. A grade of I not removed within a one-year period automatically reverts to a grade of F.

Final Examinations: Final examinations are required in all classes and must be given at the scheduled times and dates indicated in the university final exam schedule. An exception to the official final examination schedule can be made if a student is scheduled to take more than two examinations in one day.

Other University Policies
Students are responsible for the following policies: Safe Environment, Students with Disabilities, Institutional Review Board, Academic Integrity, and Academic Contact Hour.