Effective Winter 2014
MATH 204-<section #> Applied Calculus I
<Quarter, Year>
<Days, Time, Location>
Instructor:
Office hours: <office hours and location>
Tutorial center hours: <tutorial center hours and location>
Office phone: <only if you have an actual office>
Tutorial center phone: 323-343-5374
Email:
Final Exam: <date, time, location>
Text: Mathematics for the Life Sciences – A Modeling Approach
Volume II Integral Calculus and Differential Equations (ISBN13: 978-1-269-52946-4)
The text is a custom edition and is available at the bookstore and the Bookmart.
Math 204 Prerequisites: Math 105 with minimum grade of C or satisfactory score on entrance exam
for Math 204; rudimentary knowledge of Microsoft Excel.
Math 204 Catalog course description: Limits, continuity, derivatives, discrete models and their
stability, extrema, long-term behavior of systems, approximation, Newton’s method, with a focus
on applications in biology.
Topical outline:
Average and instantaneous rate of change; tangent line as limit of secant lines (geometric viewpoint);
limits; continuity of a function; rules for computing derivatives for specific types of functions; general
rules for derivatives; use of the derivative to determine stability of equilibrium values; logistic dynamical
system; use of the derivative to solve maximization problems; long-term behavior of functions;
approximation of functions with linear functions and polynomials; Newton’s method for finding roots to
determine equilibrium values.
Student Learning Outcomes: Upon successful completion of this course, students will be:
1.
2.
3.
4.
5.
6.
7.
able to compute limits and interpret them as long-term behavior of models.
familiar with the interpretation of the derivative as rate of change.
able to compute derivatives of functions.
able to use derivatives to determine the stability of a model.
able to find maxima and minima of a function.
able to approximate complicated functions with polynomials.
able to apply Newton’s method to find equilibrium values of a function.
Grading system: <indicate your grading system>
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Effective Winter 2014
Emergency preparedness:
The meeting point for Salazar Hall is in the parking lot at the bottom of the ramp. In an emergency,
leave the building using staircases (and in an earthquake, wait to do so until the shaking has stopped).
Move quickly to the meeting point and follow the instruction of the building coordinators. [Make sure to
check in with me so I know that you are accounted for. If one of your classmates needs help in
evacuating, please assist. If you know that you will need assistance in an emergency and it is not
obvious that this is the case, please see me so I can be aware of your need for assistance.]
ADA statement: Reasonable accommodation will be provided to any student who is registered with
the Office of Students with Disabilities and requests needed accommodation.
Academic honesty statement: Students are expected to do their own work. Copying the work of
others, cheating on exams, and similar violations will be reported to the University Discipline Officer,
who has the authority to take disciplinary actions against students who violate the standards of
academic honesty.
Student responsibilities: Students are responsible for being aware of all announcements that are
made in class, such as changes in exam dates, due dates of homework and papers, and cancellation of
class due to instructor’s absence. Students are responsible for announcements made on days that
they are absent.
Students must check their CSULA email account regularly for information from the instructor and the
Department. Failure to do so may result in missed deadlines or other consequences that might
adversely affect students. Note that you can forward this email account to any other account of your
choosing.
Last updated 1/3/14
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