Math
191-02 (20709) Spring 2013 CSUDH

**Calculus
I **(5 Units)** **SAC
2104 MWTh 7:00-8.25 PM Dr. Sally Moite

**Catalog
Description **(From
Math Department sample syllabus)

Limits, continuity, derivatives, differentiation formulas, applications of derivatives, introduction to integration, fundamental theorem of calculus, inverse functions. MAT 191 meets for five hours of lecture per week.

**Prerequisites** MAT 153 (College Algebra
and Trigonometry) or equivalent with a grade of "C" or better and the
ELM requirement.

**Objectives** (From Math Department
sample syllabus) After completing MAT 191 the student should be able to

- Understand the four
basic concepts of one-variable calculus; the limit, the concept of
continuity, the derivative, and the integral of a function of one variable
- Use the rules of
differentiation to compute derivatives of algebraic and trigonometric
functions
- Use derivatives to
solve problems involving rates of change, tangent lines, velocity (speed),
acceleration, optimization, and related rates.
- Investigate the graph
of a function with the aid of its first and second derivatives:
asymptotes, continuity, tangency, monotonicity, concavity, extrema,
inflection points, etc.
- Understand the meanings
of the indefinite integral and the definite integral of a function of one
variable, and their relationship to the derivative of a function via the
Fundamental Theorem of Calculus
- Use rules of
integration including the Substitution Rule to evaluate indefinite and
definite integrals
- Differentiate
Exponential, Logarithmic, and Inverse Trigonometric Functions
- Use L’Hospital’s Rule.

**Expected
outcomes**
(From Math Department sample syllabus) The student should be able to
demonstrate through written assignments, tests, and/or oral presentations, that
he or she has achieved the objectives of MAT 191.

**Policies** Students are expected to
attend all sessions of the course, read the text, do and check all assigned
problems, complete all work for which points are assigned. Schedule dates are
approximate. Homework is due the session after a section is discussed in class,
when even number problems from the section, other than the problem to hand in,
may be put on the board. Each student is required to do four problems on the
board during the term. Homework problems to be turned in will be accepted if
they are late, but it is to the student’s advantage to turn them in promptly.
Solutions that have errors or are incomplete will be returned for correction,
and will not receive credit until they are corrected. Participation and attendance
in the lab sessions is required. Certain lab sessions will have written reports
to hand in. Tests will be given on the dates scheduled, and will cover the
sections that have been discussed in class. There are no makeup tests. Students
may miss one test in an emergency. There may be a bonus given to students who
have completed all tests. All students must take the final.

**Study
Time** It is
expected that you will spend at least twice the in class hours studying for
this class outside of class, that is, at least 10 hours a week. Make sure that
you have planned sufficient study time in your weekly schedule for this and
your other classes.

**To Estimate Your Grade So Far:**
Average test grade so far x .75 + Labs attended/labs so far x 15 +

Homeworks with
(+)/homeworks due x 5 + Number of homeworks on board done/4 x 5

+ 4 if you
will do the extra credit assignment = Projected class average

Use the grade scale on the schedule page to see your projected grade.

(Note: You will have an opportunity to raise your average test grade by
doing better on the final.)

**Computer/Information
Literacy Expectations **Students are expected to: 1) use the university
email system (Toromail), 2) use Blackboard, 3) search for and use websites with
definitions and examples of the mathematical concepts covered in this class.

**Academic
Integrity**
(Part from Math Department sample syllabus) The student is expected to complete
the work for this course independently. Cooperation on homework is encouraged,
with the understanding that each student must individually master the material
of the class. The mathematics department does not tolerate cheating. Students
who have questions or concerns about academic integrity should ask their
professors or the counselors in the Student Development Office, or refer to the
University Catalog for more information. (Look in the index under “academic
integrity”.) In accordance with these policies the instructor acknowledges that
the material and examples for this course are taken or adapted from the course
text or other similar books.

**Disabled
Student Services** The student should contact the instructor and/or the Disabled Student
Services (DSS) as early as possible for any accommodation needed. For example,
an alternate test site can be arranged through that office.

**Historical
References**

C.H.
Edwards, Jr. *The Historical Development of the Calculus*

William
Dunham *The Calculus Gallery- Masterpieces from Newton to Lebesque*