Syllabus
Pre-Calculus Algebra
MAC 1140- 3 Hours Credit
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SPECIAL NOTE ON
NEW Legislative Change
Paying Back Money: Students who have received
financial aid this semester should not
drop
or withdrawal from this class without first talking with someone in the
financial aid department. Dropping
or withdrawing may require you to repay the financial aid you received for this class, including all
federal and state aid, both grants and
loans. This is especially
true for Bright Futures and Pell Grant recipients.
Check Website OFTEN to see changes in schedule and homework
FACULTY
JEANNE BAIRD
"MY WEBSITE"
INSTRUCTOR NAME: Mrs. Jeanne
Baird
INSTRUCTOR
OFFICE HOURS: 
Fall 2009 Schedule
LOCATION
OF OFFICE: Plant
City - PADM 139
PHONE
NUMBER: Use
email
EMAIL: jbaird@hccfl.edu
COURSE
MEETING TIME: Plant
City - Room PADM 127
Mon, Wed 12:30-1:45pm
COURSE
DESCRIPTION:
Major topics include polynomial, rational, and other algebraic functions, their
properties and graphs: polynomial and rational inequalities exponential and
logarithmic functions, their properties and graphs; piecewise functions; conic
sections; matrices and determinants; sequences and series, mathematical
induction (if time); binomial theorem; applications.
Course Objectives: UPDATED FALL 2006
1. Polynomial, Rational, and other Algebraic Functions
a.
Graph polynomial functions using key features
(degree, zeros, multiplicity, leading coefficient, end behavior).
Emphasize function behavior as 
.
b.
Graph rational functions using key features:
vertical, horizontal and oblique asymptotes; holes, intercepts. Emphasize
function behavior as 
a zero of the denominator, and as 
.
c.
Construct and graph piece-wise defined
functions.
d.
Find the real and complex zeros of a
polynomial function.
e.
Solve inequalities involving polynomial and
rational functions.
f.
Apply mathematical models involving
polynomial, rational functions, and piece-wise functions.
2. Exponential and Logarithmic Functions
a.
Evaluate and graph exponential and
logarithmic functions.
b.
Solve exponential and logarithmic equations
algebraically and graphically.
c.
Construct and apply mathematical models
involving exponential and logarithmic functions.
3. Conic Sections
a.
Define circle, parabola, ellipse, and
hyperbola; recognize their equations, their properties, and sketch their
graphs.
b.
Solve applications involving conic sections.
4. Systems of Equations and Inequalities, Matrices and Determinants
a.
Use the algebra of matrices and evaluate
determinants.
b.
Solve linear systems in 3 or 4 variables
using matrices and Cramer’s rule.
c.
Solve systems of non-linear equations,
including conic sections, algebraically and graphically.
d.
Solve applications using systems of
equations.
5. Mathematical Induction, Sequences and Series, and the Binomial Theorem
a.
Use summation notation to find the sum of any
sequence.
b.
Identify arithmetic and geometric
sequences. Determine the sum of the first n terms of arithmetic and
geometric sequences and the sum of an infinite geometric series.
c.
Find and use recursive formulas to find
terms.
d.
Apply the Binomial Theorem to expand powers
of binomials; find the rth term of a binomial expansion.
e.
Understand the use of mathematical induction
in proving statements.
1. Show extended knowledge of
objectives presented in prerequisite courses including the use of functional
notations, finding function values, and evaluating derived functions and
compositions.
2. Recognize and graph functions
(polynomial, rational, radical, absolute value, piecewise defined, exponential,
and logarithmic); determine their domain and range. Determine the
intervals on which the function is increasing, decreasing, or constant.
Verify using a graphing calculator.
3. Solve polynomial and rational
inequalities. Express the solution as an inequality; write the solution set
in interval notation; graph the solution set. Verify, using a graphing
calculator.
4. Solve radical equations, identifying
those solutions which are extraneous.
5. Know and use the definition of
absolute value; solve absolute value equations and inequalities. Graph
the solution set of inequalities. Verify using a graphing calculator.
6. Solve equations that are quadratic
in form, identifying those solutions which are extraneous. Verify using a
graphing calculator.
7. Apply the translation of axes rule,
the stretching/shrinking rule, and the x- and y-axis reflection rules when
graphing functions. Verify using a graphing calculator.
8. Determine which functions are
one-to-one; find the inverse of those functions which are one-to-one; restrict
the domain of those functions that are not one-to-one and find the inverse of
those restricted functions. Verify using a graphing calculator.
9. Solve problems involving direct,
joint, and inverse variation with and without the words direct or inverse.
10. Manipulate expressions involving
rational and negative exponents. Solve exponential equations.
Verify using a graphing calculator.
11. Solve word problems that lead to
polynomial, rational, or exponential functions as a mathematical model. Where
appropriate or necessary, use a graphing calculator.
12. Solve problems involving
logarithms; change from logarithmic form to exponential form and vice versa.
13. Solve exponential and logarithmic
equations using the properties of logarithmic and exponential functions.
14. Find complex zeros of polynomials
of degree higher than two using theorems from the theory of equations. Verify
real zeros using a graphing calculator.
15. Find solutions of systems of
equations which are nonlinear that require elimination and/or substitution.
Verify using a graphing calculator.
16. Find solutions of systems of at
least three linear inequalities in two variables by graphing.
17. Identify arithmetic, geometric, and
harmonic sequences and series; solve problems involving them. Evaluate
expressions involving summation notation.
18. Perform operations of
multiplication and division with complex numbers in rectangular form.
19. Know and be able to use the Binomial
Theorem. Find the rth term of a binomial expansion.
20. Use the algebra of matrices.
Evaluate determinants of order two or three.
21. Understand the use of Mathematical
Induction in proving that statements are true or not true for positive integers.
22. Find a quadratic equation with real
coefficients given an irrational or imaginary root.
23. Solve a quadratic equation when
"a", or "b", or "c" are literal rather than
numerical.
24. Define circle, parabola, ellipse
and hyperbola: recognize their equations, their properties, and sketch graphs.
25. Graph conic sections using
translation of axes. Verify using a graphing calculator.
(Previous credit for MAC 1104,
MAC 1147 precludes credit for MAC 1140)
Prerequisites:
College level
math skills - MAC 1105
TEXTBOOK:
Algebra
and Trigonometry
7th Edition - by Sullivan
CALCULATOR: Most calculators are allowed
with the following exception:
For Testing you may NOT use TI89, TI92 or TI Inspire
TESTING:
Exam 1 - Chapters 1, 2, 4
Exam 2 - Chapters 2,3,4,5,6,11
Exam
3 - Chapters 5,6
Exam 4 - Chapters 12,
13
Final Exam - Counts as two exams
There are no make-up exams, the final will replace a missing exam.
REQUEST FOR
ACCOMMODATIONS: If, to participate in this course, you require an
accommodation due to a physical or learning impairment, you must contact
the Office of Services to Students with Disabilities. The office is located in
the Student Services building. You may also reach the office by telephone at
(813) 757-2209
Attendance Policy: You are expected to attend class
GRADING:
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A
= 90 - 100 |
C
= 70 - 79 |
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B = 80 - 89 |
D = 60 - 69 |
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Last Updated September 4, 2009