Calculus I

Fall 2014

MW 12:30-1:20, TR 12:00-12:50; MNRS 300 (MW), QUIN 202 (TR); 4 credit hours

Other resources:


Instructor: Dr. Art Duval

Please feel free to stop by my office any time during scheduled office hours. You are welcome to visit at other times, but in that case you might want to make an appointment, just to make sure that I will be there then. You can make an appointment simply by talking to me before or after class, by calling me at my office or at home, or by sending e-mail.

I will also be available in the classroom after class on Tuesdays and Thursdays.

You may also ask any questions directly via phone or e-mail. If I'm not in when you call, please leave a message on the voice-mail or answering machine with your name, number, and a good time for me to call you back. I will try to respond to your phone or e-mail message as soon as possible.

Additional instructor: Dr. Scott Starks


MATH 1508, or an adequate score on a placement exam. This generally means you should be comfortable with the idea of functions, including how to graph them, finding inverse functions, and applying transformations. Specific functions you should be familiar with include polynomial and rational functions, exponential and logarithmic functions, and trigonometric functions.

Engineering and Calculus:

The study of mathematics, including calculus, is fundamental to the education of future engineers. When confronted with a real world problem, an engineer will often define a mathematical model to represent the problem using equations that describe the relationships between the various physical quantities present in the problem. In many cases, these relationships are expressed using principles drawn from mathematics; quite often the models involve rates of change, and in this case the relationships are best expressed using calculus.

With this in mind, the instructors plan to show you how calculus can be applied to a variety of applications drawn from engineering. You will have an opportunity to see how what you are learning in calculus will later be used in your future engineering classes. This application-driven approach to Calculus instruction is expected to provide you an early exposure into the types of problems that engineers confront and solve. This approach is intended to increase student motivation and success in learning Calculus.


Upon successful completion of the course, you will be able to represent functions and their derivatives and integrals numerically, graphically, and symbolically, and be able to determine which approach is most effective in a given situation. You will be able to explain the use of limits in derivatives and integrals, and the relation between limits and the precision of numerical answers. You will be able to compute derivatives and simple integrals numerically, graphically, and symbolically.

You will be able to set up and solve problems which require understanding and use of derivatives and integrals. You will be able to solve open-ended problems, problems which require written commentary rather than a string of symbols or numbers, and problems for which different answers may be equally correct. You will be able to apply the ideas of calculus to solve a variety of problems from several areas of engineering.


Calculus: Single Variable, 6th ed., Hughes-Hallett, Gleason, McCallum, et al., Chs. 1-6. We will skip some sections, as announced in class.

Required Reading: Read each section that we cover in class, both before and after class. Skim the section before class, even if you don't understand it fully, to have some idea of what we'll be doing in class. Read it more carefully after class to clarify and fill in details you missed in class.

Warning: Sometimes, we will not "cover" all the material from a section, but instead focus on a particular aspect of the section. In such cases, instructors will point out in class (and at this website) which other parts of the section we expect you to read on your own.


During class, we will make sue of graphing technology, as appropriate. You are welcome to have a standalone graphing calculator, or graphing calculator application on a laptop or smartphone. Desmos is a particularly good (and free) web-based graphing calculator, which we will use in class. You are also welcome to use such technology on homework, but not on exams.


Online Homework (15%)

Individual homework from the calculus textbook will be assigned on a daily basis (with some exceptions). Homework is to be completed on the WileyPlus system. You are allowed to work together on homework (in fact, you are encouraged to do so), but, for maximum effectiveness, you must understand the solutions to all the problems. It is your responsibility to keep up with the homework, even when you have to miss class. Your four lowest homework scores will be dropped.

Written Homework (10%)

Written homework on more involved problems will be assigned weekly, announced in class, and posted here. These solutions should be written clearly and include all justifications. Assignments will be due at the beginning of class, and will not be accepted after then, except in extenuating circumstances that you explain to me as soon as possible. Incomplete homeworks will be accepted, though, so please turn in whatever work you have completed when homework is due. You are encouraged to work together on your homework, but you must write up your solutions by yourself. Your lowest written homework score will be dropped.

Exams (15% each)

There will be three in-class exams on the following days, approximately covering the following chapters: Makeup exams can be given only in extraordinary and unavoidable circumstances, and with advance notice.

Final (30%)

The final exam will be comprehensive over all material we discuss in class, including Chapter 6. The final will be on
Tue., 9 Dec., 1:00 p.m.-3:45 p.m.
All exams are closed-book; you may use only standalone scientific calculators (not a cellphone calculator) with no graphing capability, in line with policy on NCEES national engineering licensure exams.


Academic dishonesty:

It is UTEP's policy, and ours, for all suspected cases or acts of alleged scholastic dishonesty to be referred to the Office of Student Conduct and Conflict Resolution for investigation and appropriate disposition. See Section II.1.2.2 of the Handbook of Operating Procedures.


Daily attendance is required, although there is no particular grade penalty for missing class. Our goal is for class meetings and activities to complement, rather than echo, the textbook, and thus for every class to be worth attending.

Drop date:

The deadline for student-initiated drops with a W is Friday, October 31. After this date, you can only drop with the Dean's approval, which is granted only under extenuating circumstances.

We (the instructors) hope everyone will complete the course successfully, but if you are having doubts about your progress, we will be happy to discuss your standing in the course to help you decide whether or not to drop. You are only allowed three enrollments in this course, and students enrolled after Fall 2007 are only allowed six withdrawals in their entire academic career, so please exercise the drop option judiciously.


We all have to show courtesy to each other, and the class as a whole, during class time. Please arrive to class on time (or let an instructor know when you have to be late, and why); do not engage in side conversations when one person (an instructor, or another student) is talking to the whole class; turn off your cell phone (or, for emergencies, at least set it to not ring out loud), and do not engage in phone, email, or text conversations during class.


If you have, or suspect you have, a disability and need an accommodation, you should contact the Center for Accommodations and Support Services (CASS) at 747-5148,, or Union East room 106. You are responsible for presenting to an instructor any CASS accommodation letters and instructions.

Exceptional circumstances:

If you anticipate the possibility of missing large portions of class time, due to exceptional circumstances such as military service and/or training, or childbirth, please let an instructor know as soon as possible.