Instructor: Kursat Guzey
Syllabus for Dual Credit College Algebra (for 2015-2016 Fall Semester)
At Tarrant County College the District master syllabus documents the content of a course. A District master syllabus is required for
every course offered. District master syllabi are prepared by teams of faculty and approved by instructional administration.
COURSE RUBRIC, NUMBER, TITLE, AND DESCRIPTION
Book: Pre-Calculus with Limits: A Graphing Approach by Larson
Study of quadratics; polynomial , rational, logarithmic, and exponential functions; systems of equations; sequences and series; and
matrices.
COURSE GOALS AND LEARNING OUTCOMES
Course goals are linked to required Core Curriculum intellectual Competencies, Perspectives, and Exemplary Educational Objectives
as defined by the Texas Higher Education Coordinating Board. Specific core requirements are linked to the class schedule.
1.
The student will demonstrate an understanding of functions. (CCIC 1,4,5,6; CCP 4,7,8; EEO 1,2,4,5,6,7) The student will be
able to
a.
define a function;
b.
identify the domain and range of a function;
c.
define odd and even functions;
d.
identify basic functions;
e.
recognize and apply transformations of functions;
f.
combine functions arithmetically;
g.
produce the composition of two functions;
h.
identify one-to-one functions;
i.
produce the inverse of a function;
j.
graph each function;
k.
state and interpret graphical data.
2.
The student will solve equations and inequalities. (CCIC 1,4,5,6; CCP 4,7,8; EEO 1,2,4,5,6,7) The student will be able to
a.
solve equations containing rational exponents;
b.
solve quadratic inequalities.
c.
solve rational inequalities.
3.
The student will analyze polynomial functions. (CCIC 1,4,5,6; CCP 4,7,8; EEO 1,2,4,5,6,7) The student will be able to
a.
produce the graph of a quadratic function;
b.
apply quadratic functions;
c.
identify polynomial functions;
d.
solve polynomial functions;
e.
describe the end behavior of a polynomial function;
f.
identify the zeros of a polynomial function;
g.
generate the linear factors of a polynomial function;
h.
generate a sketch of the graph of a polynomial function;
j.
generate a polynomial function with given zeros;
k.
solve rational inequalities.
4.
The student will analyze rational functions. (CCIC 1,4,5,6; CCP 4,7,8; EEO 1,2,4,5,6,7) The student will be able to
a.
define a rational function;
b.
identify the domain of a rational function;
c.
identify the asymptotes of a rational function;
d.
generate the graph of a rational function;
e.
solve rational inequalities.
5.
The student will analyze exponential functions. (CCIC 1,4,5,6; CCP 4,7,8; EEO 1,2,4,5,6,7) The student will be able to
a.
define an exponential function;
b.
generate the graph of an exponential function;
c.
define e;
d.
apply exponential functions.
6.
The student will analyze logarithmic functions. (CCIC 1,4,5,6; CCP 4,7,8; EEO 1,2,4,5,6,7) The student will be able to
a.
define a logarithmic function;
b.
convert between logarithmic form and exponential form;
c.
d.
e.
f.
7.
generate the graph of a logarithmic function;
evaluate logarithmic expressions;
state the properties of logarithms;
apply the properties of logarithms;
The student will solve systems of equations. (CCIC 1,4,5,6; CCP 4,7,8; EEO 1,2,4,5,6,7) The student will be able to
a.
solve systems of equations using the graphing method, addition method, and/or substitution method;
b.
classify a system as consistent, inconsistent or dependent;
c.
define a matrix;
d.
perform matrix arithmetic;
e.
use at least one of the following methods to solve a system of linear equations: matrix inverse method, Cramer’s rule,
and row reduction;.
f.
evaluate a determinant.
8.
The student will investigate sequences and series including arithmetic, geometric and recursive . (CCIC 1,4,5,6; CCP 4,7,8;
EEO 1,2,4,5,6,7) The student will be able to
a.
define a mathematical sequence;
b.
define and generate arithmetic sequences;
c.
will be able to find nth term of arithmetic sequences
d.
will be able to find partial sums of arithmetic sequences;
e.
will be able to generate geometric sequences;
f.
will be able to find nth term of geometric sequences;
g.
will be able to find partial and infinite sums of geometric sequences.
h.
will be able to expand nth degree of polynomial expressions.
i.
will be able find nth term of n degree of polynomial expression.
9.
The student understand basic properties of conic sections. The student will be able to
a.
define parabola;
b.
find an equation of a parabola by identifying directrix and focus;
c.
sketch a graph of parabola;
d.
define parabola;
e.
find an equation of a ellipse by identifying foci, and major and minor axis;
f.
sketch a graph of ellipse;
g.
define hyperbola;
h.
find an equation of a hyperbola by identifying foci and the direction of the hyperbola;
i.
sketch a graph of hyperbola.
COURSE ASSESSMENT
Student success is measured by assessment techniques aligned to course goals and learning outcomes. A variety of techniques may be
used, including but not limited to objective exams, written reports, performance charts, portfolios, oral presentations or
demonstrations, and group projects. Individual faculty members are responsible for designing evaluation instruments to measure
student mastery of course goals and learning outcomes and for indicating the nature of such instruments in the instructor’s class
requirements.
COURSE GRADE
There will be 4 chapter tests comprising 60% of the course grade, online homework comprising 15% of the course grade, daily pop
quizzes comprising 5% of the course grade, and a final exam (comprehensive) constituting 20% of the course grade. The letter grade
for the semester is based on the following percentages: 90-100% = A; 80-89% = B; 70-79% = C; 65-69% = D; 0-64% = F.
ATTENDANCE
“Class attendance and participation are essential to student success. Effective with the Spring 2012 term, the following attendance
guidelines will apply: A student in an on-campus course missing a cumulative of 15 percent of the class meetings and not keeping up
with the course assignments will be dropped at the discretion of the instructor.”
SCHOLASTIC DISHONESTY
Students are responsible for adhering to the TCCD and BISD policies on scholastic dishonesty as stated in the online Student
Handbook.
Contact info:
kursat.guzey@birdvilleschools.net , kguzey@gmail.com, 817-547-6273