Math 75B, Spring 2005 Syllabus
Instructor: Dr. Katherine Byler Kelm
Office: PB 343
E-mail: Click here
Phone: 278-4996
Course: Math 75B (calculus with review, second semester)
Class meets: MWF in ED 177
  • 1:00-2:05pm (class number 38532) or
  • 2:15-3:20pm (class number 33685)
Texts:
  1. Stewart, Calculus, 5th Ed. (ISBN 0534-39339-X)
  2. Ebersole et al., A Companion to Calculus (ISBN 0534-26592-8)
Welcome to Math 75B! Math 75B is a 4-unit course, the continuation course of Math 71/90 which was offered in the fall semester. This semester we will cover advanced applications of differentiation, including graphing, optimization, and approximation. We will also learn about antiderivatives and integration and many of their important applications, along with review of selected necessary high school algebra, geometry, and trigonometry. Students must have passed Math 71/90 with a grade of C or better in order to enroll in this course. The course covers chapters 4 through 6 of Stewart's text (and section 3.10), plus Chapters 12 and 16-20 of the Companion (and sections 5-A.1 and 5-B.1). Please see the course outline, below.
Calculus is a very interesting and very useful subject. This course, however, will be demanding. This is not "dumbed-down calculus." You will be expected to put in a lot of time and effort to learn the material. I will do my very best to teach it to you, but you must ultimately take the responsibility to stay caught up, seek extra help when you need it, and monitor your progress in the class. I am always here to help you do this.
I am very much looking forward to this course. I hope my enthusiasm rubs off on you!
Please see the following links for complete information:
(OLD) Math 71/90 Home Page - Fall 2004 Midterms
Office Hours Attendance
Learning Objectives and Learning Outcomes Final Exam
Course Outline Other Stuff
Homework
Quizzes
 
Learning Objectives
Upon completion of this course, students should understand:
  • How to interpret the derivative in the context of real-world examples.
  • The definition of antiderivatives.
  • The integral as an area or the distance traveled by a moving object.
  • The idea of an "area function" under the graph of a function f, and how it relates to the function f  itself.
  • The two parts of the Fundamental Theorem of Calculus.
  • The relationship between integrals and antiderivatives.
Learning Outcomes
Upon completion of this course, students should be able to:
  • Compute certain simple antiderivatives.
  • Find maximum or minimum values of functions.
  • Solve "real-world" optimization problems by converting them into the language of calculus.
  • Approximate zeros of a function using Newton's Method.
  • Compute the definite integral of any polynomial or root function.
  • Define the definite integral as a limit of Riemann sum approximations.
  • Graph, differentiate, and integrate functions using the Mathematica computer algebra system.
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Course Outline
Chapter (Stewart) Description Corresponding Chapters (Ebersole)
4 (and section 3.10) Applications of Differentiation:
4.1 (1), 4.7 (optimization)
4.3, 4.4, 4.5 (graphing)
3.10, 4.2, 4.9 (approximation)

16
17, plus sections 5-A.1, 5-B.1
12
5 Integrals 18-20
6 Applications of Integration none

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Homework Policy*

Homework is due Wednesdays and Fridays at 4:30pm. You may give it to me directly or place it in the box outside my office labeled "MATH 75B." Please write your full name, the due date, and 1:00 or 2:15 to indicate what section you are in, at the top of the first page. Wednesday homework will be accepted through Friday at 4:30pm for half credit. Friday homework will not be accepted late for any reason. I will drop your lowest two homework scores. Be sure to read and understand the Homework Format Requirements and Guidelines. It will be enforced! Homework of more than one page must be stapled. This is not optional. Do not write teeny-tiny to get out of this, please!

Warning: You are expected to budget at least 8-12 hours per week for homework and study outside of class. Do not attempt to concentrate all this work on Tuesday and Thursday nights! You will never finish assignments, let alone learn anything, if you do not start a few days early, while you have the chance to get help. You may check your answers in the Solutions Manual in my office any time I am there, as long as you have completed the problem yourself first.
There may be bonus problems (for extra credit) assigned in class which do not appear on the syllabus. These will often be given during the first five minutes of class, to encourage you to be on time.

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Quizzes*
Quizzes will be held in class on Fridays, except during midterm weeks, starting January 28 (week 2) and ending April 29 (week 14). They will be given during the first 10 minutes of class. Please be on time because the quizzes start exactly at the top of the hour! If you miss a quiz, you get a 0. I will drop your lowest two quiz scores. The quizzes will usually be based on the material covered in the previous week's homework. For example, the first quiz on Friday, January 28 will cover the material from the first homework due on Wednesday, January 26. The second quiz on Friday, February 4 will cover the material from the homework due on Friday, January 28 and Wednesday, February 2. Make sure to review the homework and come to office hours with any questions well before the quiz!

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IMPORTANT. Reading comprehension is as important in mathematics as in any other subject. On any quiz or exam you should expect to see problems which are not exactly like the homework.
 
Midterms*
The midterm exams will be Fridays, February 18, April 1, and May 6 (weeks 5, 10, and 15). I will announce in class which sections will be covered on each midterm. There are no makeups for any reason. If you have missed an exam, or feel that you are likely to miss an exam, contact me immediately to discuss your plans for passing the course.

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Final Exam*

The final exam is comprehensive (from this term only). It will be on Monday, May 16 from 1:15-3:15pm (1:00 section) or 3:30-5:30 (2:15 section). If you feel you have a conflict with the time given, contact me immediately. Please note that it is strictly against University policy for me to give final exams early for any reason.

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Attendance
Missing class is bad. It is the single most preventable cause of bad grades! This is a sequence course with a tight syllabus. I will not be able to slow down for you, because that material is going to be needed in Math 76 (and throughout your life). So you simply must show up every day to avoid missing something critical.
For this reason I will be taking attendance every day. Your attendance will directly affect your effort/participation/attendance grade. (How?) There are no excuses accepted for non-attendance. If you feel you will be missing a significant number of classes, please come see me to discuss your plans for passing the course.
If you must miss class, get the notes from someone as soon as possible, go over them (preferably with the student who took the notes -- it will be valuable for him or her as well to talk through the material), and then come to office hours with any questions. I cannot repeat my lecture for students who skip class.
Enrollment in this class is by permission number only. If you have not already done so, you will need to obtain a permission number from me no later than the end of the first week of classes.
If you are enrolled and decide not to take the class, you have until Tuesday, February 1 to drop the class without a Serious and Compelling Reason (please see p. 63 of the current course catalogue for details). Please drop as soon as you have made your decision in order to allow others to join the class.

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Basis for course grade (What does this mean?)
Homework 15%
Quizzes (9) 15%
Midterm 1 15%
Midterm 2 15%
Midterm 3 15%
Final exam 20%
Effort/Attendance/Participation 5%
 
Grade breakdown**
90-100% A
80-89.9% B
70-79.9% C
60-69.9% D
0-59.9% F
** Due to possible curving, your grade may end up higher, but not lower, than this chart indicates.

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Other Stuff

  1. Calculator Policy

    Calculators are generally not allowed on quizzes or exams. I do not anticipate making any exceptions, except for one quiz on the approximation methods we will learn in sections 3.10, 4.2, and 4.9 of Stewart. I will have more information on that when the time comes. The reasons for this policy are as follows:

    Calculators these days are very powerful machines which can actually facilitate learning in many instances. Many complicated computational procedures which had to be taught in previous generations are now obsolete, and classes can now concentrate on more refined and theoretical concepts. However,

    1. Calculators can easily tempt a student not to learn necessary mental math skills. In other words, calculators can rot your brain! Though I encourage you to experiment with a calculator outside of class and see what you can learn from it, I wish to test what is in your brain, not in your calculator. For this reason, you should do as much of the homework as possible without one, to train yourself for exams.
    2. Good calculators can be expensive. I believe that it is unfair to allow students to use whatever calculator they can afford on exams. A student who has--or whose family has--more money should not have an advantage (or disadvantage, depending on how you look at it!) over a student with less money.

    Therefore, to keep the exams equitable, and to avoid brain rot, I choose to disallow calculators of any kind.

  2. Classroom Behavior

    I wish to maintain a positive, comfortable learning environment in our class. Please show respect for others by:

    • Making sure that all cell phones and pagers are turned off for the duration of the class
    • Not using tobacco products of any kind in class (this is California law and includes smokeless tobacco)
    • Not speaking, whispering, or engaging in any other distracting behavior while someone is addressing the class.

    Failure to adhere to these ground rules may result in your dismissal from the class.

  3. Academic Honesty

    Cheating is quite prevalent at Fresno State, and thus the penalties for getting caught are severe. Don't do it. Notes of any kind are not permitted during quizzes or exams. I may ask for hats to be removed or for you to switch seats for extra security. Collaboration on homework assignments is allowed and encouraged; however, everyone must turn in his or her own homework, in his or her own words. The University policy on academic dishonesty will be followed in cases of cheating and plagiarism. This means, at minimum, a score of 0 on any assignment or exam in which cheating or plagiarism is suspected. Please don't do anything that looks even remotely like cheating. It's not worth it.

  4. Students with Disabilities

    The University policy on students with disabilities will be followed. If you have a disability documented with Services for Students with Disabilities which requires accommodation, please see me as soon as possible to make arrangements.

  5. Extra Help

    Do not allow yourself to remain lost in the class. The night before the midterm is not the time to discover that you are in over your head! Whenever you need help, you must get it right away. Sources of help include the following:

    1. First and foremost, I am always here to help. If you cannot come to my office hours, make an appointment, or call or send email. I want you to succeed! Bringing your concerns to me can only raise your grade.
    2. Other students. Please try to get a phone number and/or email address from at least two other students in the class. Studying with your peers is one of the most effective learning tools and can be a great stress-buster, too. Even if you believe you work best alone, make sure you have someone to contact in case I am not available.
    3. Supplemental reading materials. These include the CD's that come with Stewart's text, the Student Solutions Manual (worked-out solutions to odd-numbered problems in the Stewart text) and various online sources. Please see me for more ideas, or consult a search engine such as Google.
    4. Tutoring. The Calculus Walk-In Lab is a free, drop-in lab run by the Mathematics Department in EE 167 with one person available to tutor anyone from any calculus class. Schedule should be available soon. This is a great place to sit and do homework with other students and get help. Please make it a part of your week!

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* Disclaimer: Although I have no plans to do so, all dates and policies are subject to change or exception according to announcements made in class.
 
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Last updated 1/13/2004