MAT 120 APPLIED CALCULUS
SPRING 2014
Dr. James G. Troutman
OFFICE HOURS: Office location is LS-121, e-mail at jtroutma@ycp.edu and phone ex 1215 (8151215). Hours are Mon 4:15-4:45, Tue 2:00-5, Wed 1:30-2:30, and Thur 11- 12. You are welcome at
my office at any time. If you are having difficulty it is particularly important that you stop by to see
me. Peer tutoring is available (and recommended) at the Center for Teaching and Learning.
CATALOG DESCRIPTION: A one-semester calculus course designed for business, biology and
other majors desiring applied calculus. Topics will include calculation of derivatives, maximumminimum problems, curve sketching, calculation of integrals, area under curves and applications. The
course uses applications from the business sector, life sciences, and the social sciences. A recent and
solid algebra background is essential for success in this course.
PREREQUISITE: It is expected that each student has had two years of high school algebra with a C+
or better, or a “C” or better in Mat105 College Algebra. If you do not have this background, please see
the instructor at the end of the first class period. A recent and solid algebra background is essential
for success in this course.
TEXTBOOK: A text is not necessary for this course. All the material is on my website. However, if
you prefer to use a text you can consider a text titled “Applied Calculus”; i.e. Applied Calculus by
Berresford and Rockett, or Calculus for Business, Economics, etc by Barnett, Ziegler and Byleen or
Applied Calculus for the Managerial, Life, etc. by Tan.
COURSE OBJECTIVES: Upon successful completion of this course the student will:
 Have an intuitive understanding of limits and be able to evaluate standard limits involving the
elementary functions, including limits at infinity and one-sided limits;
 Have an intuitive understanding of the derivative and be able to find derivatives of elementary
functions;
 Be able to find relative and absolute maximal and minima;
 Have an intuitive understanding of the indefinite integral and be able to evaluate simple
integrals, including those which require substitution;
 Have an intuitive understanding of the definite integral and be able to evaluate definite integrals
including those which require substitution; and
 Have some experience with the applications of calculus to business, economics, life sciences,
social studies, and other fields.
TECHNIQUES USED TO OBTAIN OBJECTIVES: Course objectives will be met through A
problem solving and lecture format. Homework is assigned. It should be completed for the following
class period. Students will work in pairs at the beginning of the class to cover homework problems.
Select problems will be placed on the board and explained by students. In addition to homework,
students are required to read the material for the day before coming to class. You should also be able to
explain and ask questions concerning the examples given in that material. You may have to read the
assigned material several times to achieve an understanding of the material. Class time will be used to
add further examples that clarify the material in the text.
EVALUATIVE PROCESS: The student has a fundamental responsibility in the evaluation of this
course and the instructor. This responsibility includes but is not limited to completion of a "Teaching
and Course Observation" form and the right to submit positive or negative comments to the department
chair.
GRADING POLICY: In general, your final grade will be determined by the sum of your four test
grades. Your willingness to work in pairs at the beginning of class will affect your grade. Home work
problems may be placed on the board by students for extra credit. On occasion homework assignment
might be checked for extra credit. On occasion a quiz might be given for extra credit. However, in all
situations your interest, attitude, attendance, and class contributions will be considered before
assigning you a final grade. You will need to show complete knowledge of the calculus in this course
in order to receive a passing grade.
CLASS ATTENDANCE POLICY: Students are expected to attend ALL classes. If you do not want
to come to class either challenge the course or see me after the first class meeting about changing
sections. Generally students will not be permitted to make up a test missed for any reason. If you have
a valid excuse, test may be made-up during finals week if arrangements are made during the next to
last week of classes. Arrangements will be made for students who have prolonged illnesses.
CALCULATORS: Students are strongly encouraged to use graphing calculators during class and
testing situations. The instructor will make use of a graphing calculator during class presentations.
ACADEMIC DISHONESTY: When an instructor believes that a student has committed an act of
academic dishonesty, the instructor will notify the student and the Dean of Academic Affairs, and the
student will receive a grade of “0" in the course. Students, who believe they have been unjustly
charged or sanctioned in such cases, should discuss the situation with the instructor. Following this
discussion, students may request a review of their case by the Academic Standards Committee of the
College and should contact the Dean of Academic Affairs regarding their request for such a review
hearing. In cases where a student receives a second finding of academic dishonesty, the student will be
suspended from the College.
TECHNOLOGY POLICY: While York College recognizes students’ need for educational and
emergency related technological devices such as laptops, PDA’s, cellular phones, etc., using them
unethically or recreationally during class time is never appropriate. The college recognizes and
supports faculty members’ authority to regulate in their classrooms student use of all electronic
devices. In this class the only devices permitted out in the open are calculators. If you have a cell
phone please place it in the vibrate mode and leave the classroom if you need to use it. Do not text in
class.
WEB PAGE: This syllabus as well as lesson plans for this course are on the instructors web page at
http://faculty.ycp.edu/~jtroutma
The instructor reserves the right to alter this syllabus during the semester.
MAT 120
SPRING 2014
TUESDAY
THURSDAY
1/21/2014
1/23/2014
Introduction.
1/28/2014
1/30/2014
1.2 Functions
1.1 Real Numbers, Inequalities, and Exponents
2/4/2014
2/6/2014
1.3 Functions, Continued
1.4 Limits and Continuity
2/11/2014
2/13/2014
1.5 Rates of Change, Slopes, and Derivatives
2.1 Some Differentiation Formulas
2/18/2014
Test on 1-1, 1-2, 1-3, 1-4, 1-5.
2/20/2014
2.2 Product, Quotient Rules, & Higher Order
2/25/2014
2/27/2014
2.3 The Chain Rule & Non Differentiable Functions
2.4 Optimization
3/4/2014
3/6/2014
WINTER BREAK
WINTER BREAK
3/11/2014
3/13/2014
3.1 Implicit Differentiation
Test on 2-1, 2-2, 2-3, 2-4.
3/18/2014
3/20/2014
3.2 Related Rates
3.3 Exponential Functions
3/25/2014
3.4 Logarithmic Functions
3/27/2014
3.5 Differentiation of Logs and Exponentials
4/1/2014
3.6 Relative Rates and Elasticity of Demand
4/3/2014
4.1 Antiderivatives and Indefinite Integrals
4/8/2014
Test on, 3-1, 3-2, 3-3, 3-4, 3.5 & 3.6.
4/10/2014
4.2 Integration of Logs and Exponentials
4/15/2014
4.3 Integration by Substitution
4/17/2014
SPRING BREAK
4/22/2014
SPRING BREAK
4/24/2014
4.4 Definite Integrals and Areas
4/29/2014
4.5 Average Value and Area Between Curves
5/1/2014
4.6 Applications to Economics
5/6/2014
REVIEW
5/8/2014
FINAL
???
FINAL
The instructor reserves the right to alter this syllabus during the semester.
???
FINAL
For “A” Students and those who want to be.
Free math tutoring services will be offered in The Center for
Teaching and Learning, the basement of the English and Humanities
Building. These services are strongly recommended to help you succeed
in this course.
Tutoring Hours will begin the second full week of classes.
The hours are subject to change but are tentatively set as:
Monday –Thursday, 9 am -9 pm
Friday, 10 am -2 pm
You can schedule an appointment by stopping at the CTL (H01), by
calling the office at 815-1296, or by using the on-line appointment system.
YOU ARE REQUIRED TO DO THE FOLLOWING:
1.
Attend one of the orientations to the math offerings given by the
LRC at the beginning of the semester.
If after any test you score below 70 you will be required to:
1.
2.
3.
Attend a weekly review session or schedule a one-on-one tutoring
appointment if you schedule does not permit you to attend the
review session.
Attend a test review session scheduled prior to the next test.
There may be other requirements based on your test results.