Math 105

THE COURSE: Calculus is the study of (continuous) change. Since change is everywhere, calculus is a very useful way of studying the world around us. In this course we will look at some of the techniques used to study change and their applications. We will do more however, than just study the mechanical techniques of calculus. We will be concerned with the conceptual aspect of calculus as well. To help us understand calculus we will employ what is commonly referred to as The Rule of Four:

Concepts should be investigated and understood in algebraic, numeric, graphical and verbal (written) representations. Moreover appreciation of the relationships between these representations is essential to the development of conceptual understanding of calculus.

GOALS:

To learn and be able to appropriately apply various techniques of differentiation.
To be able to apply knowledge of the derivative to analyze the behavior of functions.
To be able to apply knowledge of the derivative to solve applied problems such as optimization.
To understand the relationship between differentiation and integration.
To improve your analytical abilities such as reading, writing and reasoning.

ASSIGNMENTS:

Reading Guides: Prior to beginning a new topic I expect you to read the corresponding section(s) in the text. To help you learn how to read mathematics I will hand out a Reading Guide prior to starting a new topic and you should answer the questions on the Guide and try the sample problems I have assigned.

Homework: The problems that are assigned for each section are meant to be representative of what you should be learning. It is extremely critical that you work on the homework problems when they are assigned, as they will help you understand the concepts and techniques that we are studying. Putting them off will cause you to fall behind and can lead to a failing grade!

GRADING:

Reading Guide Quizzes: As we begin each new section I will give you a short quiz based on the reading. You may use your Reading Guide and whatever notes you may have taken on the reading to help you.

Homework Quizzes: Every Monday (except during the first full week and the week after an exam) there will be a quiz based on the homework. I will pick one of the homework problems assigned during the previous week and ask you to copy your solution for that problem from your notebook onto a separate piece of paper. These quizzes cannot be made up and I will drop the two lowest quiz grades when computing your final average.

Solutions Manual: As a class we will create a Solutions Manual that will be located in the Mathematics Department Office which you will be able to use as a resource during the semester. For each homework problem that is assigned, one person will be required to provided a correct, coherent, neat, and detailed solution to this problem that will be placed in the Solutions Manual. These solutions are due within two class periods of when they are assigned. These solutions must be brought to my office and checked before they are placed in the solutions manual. Late solutions will not be accepted.

Labs: In the laboratory component of the course we will explore a number of issues in greater detail than we did in class. Several of the activities will involve a more extensive write up than just answering the questions. You will work on these activities in groups of three or four, and you should hand in one set of answers for the entire group.

WeBWorK: WebWork is an online system for assigning and grading homework problems that we will be using this semester. Each Monday you will be assigned several problems based on the material we covered the previous week that will be will be due the following Monday. The specifics of this will be explained in class.

Exams: There will be three in class exams during the semester as well as a cumulative final exam. Graphing Calculators will be allowed and are essential. There will be no make-ups given except in extenuating circumstances. The exams are tentatively set for February 4, March 9, and April 20. The Final Exam will be Monday, May 14, from 8:00—10:00 am. Going home early is NOT a valid reason for taking this exam before this date. Please tell your parents and make your travel plans appropriately.

Attendance: You are expected to attend class each day and are responsible for all material covered in class (which may at times include material not covered in the text). I will take attendance every day and you are allowed no more than three unexcused absences.

Grades:

Course grades will be determined using the following percentages:

Exams	35%
Homework and Reading Quizzes/other Assignments	10%
Labs	10%
Solutions Manual	10%
WeBWorK Problems	10%
Attendance	5%
Final exam	20%

A ``borderline grade'' may be raised to account for class attendance and participation.

Scale:

The scale on all graded material will be the following straight scale.

95-100	A	74-76	C
90-94	A-	70-73	C-
87-89	B+	67-69	D+
84-86	B	64-66	D
80-83	B-	60-63	D
77-79	C+	below 60	F

Curves are generally not used and will not be considered until the course grades are being assigned.

CLASS STRUCTURE AND MATERIALS:

Work Groups: Group work will be an important part of this course. During the first week I will assign everyone into groups of three or four. You should sit with your groups every day, as we will be doing group work quite often. The purpose of this is twofold. First, working in groups is essential in any job and second, working in groups is excellent opportunity to stop and think (and therefore learn) about what we are doing- with the added benefit of having someone to help work out those things you are not clear about.

Graphing Calculators: One of most critical tools this semester will be the Graphing Calculator. If you are a mathematics major, or are considering majoring in mathematics, you will need to purchase a Voyage 200 (recommended) or a TI-89. You can purchase these through TechLine Inc., either online or over the phone (1-800-777-3635). The Voyage 200 and TI-89's contain a Computer Algebra System (CAS) and as far as I know, no other brands contain a CAS. These calculators will be invaluable as you go through our program. If you are not a mathematics major, you should still buy the TI-89. While these also contain a CAS, they do not have some of the software that the Voyage 200's have. We will be using the calculator both in and out of class on a regular basis, so you will need to bring it to class with you every day.

If you're new to using a graphing calculator, take a look at Northfield Mount Hermon's "Using the TI-89 in Mathematics".

Cell Phones: Cell phones are to be turned off during class. If someone needs to reach you in an emergency, they call the department secretary at 572-5934 or public safety at 572-5262.

Academic Honesty: Academic Honesty is a vital part of any academic setting and it is expected that you will follow the College policy on Academic Honesty (see pages 38 – 39 of the College Bulletin for a full description of this policy). Assignments that are found to be in violation of this policy will be dealt with severely. Punishments can range from a poor grade on the paper to an F for the course. No matter what the punishment, a formal letter detailing the violation will be sent to the Vice-President of Academic Affairs and placed in your Academic file.

RESOURCES:

· Westfield State College Reading and Writing Center, Parenzo 218, 572-5569.

· Westfield State College Writers Guide,

· Academic Achievement Center Tutoring Services: W234, Peer tutoring in mathematics available by appointment.

ADDENDUM:

This syllabus is subject to change with prior notification.

TENTATIVE SCHEDULE: For the sections listed below 2.1 denotes Chapter 2 Section 1.

Topics	Section(s)
Introduction, Representing Functions, Mathematical Modeling	1.1, 1.2
More on Modeling, exponential and Logarithmic Functions, Parametric Curves	1.2, 1.5, 1.6, 1.7
Tangent and Velocity Problems, Limits and Continuity	2.1, 2.2, 2.4
Review and Exam 1
More on Limits, Rates of Change and the Derivative	2.5, 2.6
More on Derivatives	2.8, 2.9
Rules for Differentiation and Applications of Rates of Change	3.1 – 3.3
Derivatives of Trigonometric Functions, the Chain Rule	3.4, 3.5
Review and Exam 2
Derivatives of Logarithms, Maximum and Minimum Values	3.7, 4.2
Optimization	4.7
Antiderivatives	4.9
Review and Exam 3
Areas, Distances and the Definite Integral	5.1 – 5.3
The Fundamental Theorem of Calculus Wrap up and Catch Up	5.4
Final Exam: Monday, May 14, 8:00—10:00am