Calculus 1 introduces the analysis
of real valued functions. Topics include limits,
continuity, differentiation and integration of the various elementary
functions.
Emphasizes engineering applications.
In calculus we develop the concept
of “limit” which allows us to study some important properties
of functions.
Students will learn about the
derivative and its applications for elementary functions, including
trigonometric, exponential, and logarithmic functions.
Students will learn about definite
and indefinite integrals as well as some applications. Students will
develop an understanding of some the theoretical underpinnings of
calculus, including the derivations of key formulas of calculus as
well as proofs of major theorems.
Students will develop skills in
using the techniques of calculus in solving problems.
Students will develop skills in using appropriate technology, including
graphing calculators and Mathematica, in solving problems.
Students will develop mathematical
skills necessary for more advanced work in mathematics and science.
Hesston College outcomes that receive major emphasis in this course
are to help each student become a competent communicator, a critical
thinker, and an integrative thinker.
Larson, Hostetler, and Edwards, Calculus of a Single Variable,
7th edition, Houghton Mifflin Co., 2002.
You are required to have available
for use on homework, during class, and during exams, some type of
graphing calculator. The instructor will use a TI-83 in class. You
may use any type of graphing calculator. Calculators will be required
for certain homework assignments and it is expected that you have
such a calculator available for your use on tests. If you have questions
as to which graphing calculator to purchase, ask before you purchase
Grading Scale:
Homework
Homework will generally be assigned
each class session. I want to encourage you to work with each other
and help each other learn the material. Of course, each of you is
responsible for learning the material yourself as quizzes and tests
will be taken by you alone.
I will not be collecting each
homework assignment. However, it is necessary that you do each assignment
as quiz questions will be taken from homework problems or similar
type problems. Assignments that are collected are due at the beginning
of the class session. Any homework not handed in at the beginning
of class will receive, at most, half credit if handed to the instructor
the day the homework is due. Homework will not be accepted after the
day it is due.
Any student in this course who has a disability that may prevent her/him from fully demonstrating her/his abilities should contact the instructor personally as soon as possible to discuss any accommodations necessary to ensure full participation and facilitate equal educational opportunity.
Samples of your work may be randomly selected for institutional assessment purposes. This assessment will not include extra work for you and will, whenever possible, be done anonymously. The purpose of assessing student work is to review the effectiveness of teaching and learning at Hesston College. It will have no impact on your individual grade in this course. If you do not wish to be included in the sample pool, please tell your instructor at the beginning of the semester.
| Chapters P and 1 | Exam #1 Sept. 15 | |
| Prerequisites and Limits | ||
| Chapter 2 | Exam #2 Oct. 6 | |
| Differentiation | ||
| Chapter 3 | Exam #3 Nov. 5 | |
| Applications of Differentiation | ||
| Chapter 4 | Exam #4 Dec. 3 | |
| Integration | ||
| Chapter 5 and Review | ||
| Logarithmic, Exponential, and Other Transcendental Functions | Final Exam: Thursday, Dec. 16 , 10:00 a.m. | |