City College of San Francisco
I.
II.
GENERAL I NFORMATI ON
A. Date
B. Department
C. Course Number
D. Course Title
E. Course Outline Preparer(s)
F.
Department Chairperson
Keith McAllister
G.
Department/Diuision Dean
Chi Wing Tsao
COURSE SPEC IF ICS
A. Hours
B. Units
C. PrereQuisite(s)
Core Qui sit e(s)
Aduisor(y/i~s)
III.
December 200 I
Mathematics
Math 100A
Short Calculus I
Theodore B. Lee and Gary Ling
D.
Course Description
E.
F.
G.
Field Trip(s)
Method of Grading
Repeatability
3 Lecture hours per week
3
Math 95; Math 90 or Math 92; and
Math 850 or Math 855
None
None
The calculus sequence MATH 100AIOOB is intended for students
majoring in Business, Technology,
Social Sciences, or Life Sciences.
None
Letter
a
CATRLOG DESCR I PTI ON
Lines, algebraic functions, exponential functions, logarithmic functions, limits,
derivatives, and integrals, with applications.
Ill.
COURSE OBJECTlllES
A student completing MATH 100A should be able to do the following:
Find an equation for a line. Graph elementary functions including linear, quadratic,
simple polynomial, rational, radical, exponential, and logarithmic functions. Determine
domains and ranges of these elementary functions.
Compute limits of functions. Determine whether a function is continuous.
Compute derivatives of algebraic, exponential, and logarithmic functions and
combinations of such functions.
Use the derivative to solve problems involving rate of change, extreme values, and
curve sketching with applications in science, business, and economics.
Construct Riemann sums. Calculate definite integrals using the Fundamental
Theorem of Calculus. Calculate definite and indefinite integrals using chain rule
substitutions.
Use antiderivatives and the definite integral to solve problems involving change,
growth and decay, area, and volume with applications in science, business, and
economics.
u.
COURSE CONTENT
R.
Precalculus review: basic algebra; real functions & their graphs.
Page 1, Mathematics, Short Calculus I, Math lOOA
B.
C.
D.
E.
F.
UI.
Limits and continuity.
Differentiation.
Applications of the derivative.
Integration and the Fundamental Theorem of Calculus.
Applications of the definite integral.
INSTRUCTI ONRL METHODOLOGY
R.
Rssignments
Assignments whose form, function, and grading vary by instructor but whose intent
is always to develop conceptual understanding and computational competency are
given regularly. These assignments typically involve both
• readings from class notes and/or the textbook
and
• problems posed by the instructor and/or the textbook
that are relevant to the topics that constitute the course, namely,
• precalculus review: basic algebra; real functions & their graphs
• limits and continuity,
• differentiation,
• applications of the derivative,
• integration and the Fundamental Theorem of Calculus,
and
• applications of the definite integral.
B.
Eualuation
Evaluation is based on assignments, exams, and a final exam. The nature and
grading of the exams varies by instructor, but their intent is always to measure
conceptual understanding and computational competency, with a comprehensive
final exam intended to measure overall mastery of the course material. In particular,
the exams measure the student's ability to
1. find an equation for a line; graph elementary functions including linear,
quadratic, simple polynomial, rational, radical, exponential, and logarithmic
functions; determine domains and ranges of these elementary functions,
2. compute limits of functions; determine whether a function is continuous,
3. compute derivatives of algebraic, exponential, and logarithmic functions and
combinations of such functions,
4. use the derivative to solve problems involving rate of change, extreme values,
and curve sketching with applications in science, business, and economics,
5. construct Riemann sums; calculate definite integrals using the Fundamental
Theorem of Calculus; calculate definite and indefinite integrals using chain
rule substitutions,
and
6. use antiderivatives and the definite integral to solve problems involving
change, growth and decay, area, and volume with applications in science,
business, and economics.
C.
TeHts and other Materials
A textbook - see the current departmental textbook list.
A calculator may also be required.
UII. REQUESTED CLRSS IFICRTI ON
CRED IT/DEGREE RPPLI CRBLE
Page 2, Mathematics, Short Calculus I, Math lOOA