DEPARTMENT
OF PHYSICS AND MATHEMATICS
TENNESSEE STATE UNIVERSITY
COURSE SYLLABUS
DEPARTMENT OF PHYSICS, MATHEMATICS AND COMPUTER SCIENCE
TENNESSEE STATE UNIVERSITY
COURSE SYLLABUS
MATH 1110: College Algebra I
INSTRUCTOR:
Mrs. Kuzat PHONE: (615)
963-1575
OFFICE: LRC
304
OFFICE HOURS: MF: 10:30 –
12:30 email: hkuzat@tnstate.edu
R: 2:30 – 3:00
PREREQUISITES:
Two years of
high school algebra and one year of high school geometry.
COURSE
DESCRIPTION:
Topics include functions, graphs, equations, inequalities, polynomials,
exponents, radicals, rational, logarithmic and exponential functions.
COURSE
PURPOSE/RATIONALE:
To develop skills
for critical thinking and analyzing mathematical problems in today’s technical
world; to prepare/assist in successful completion of other related undergraduate
courses.
GOALS:
The aim of this course is to round out the student's knowledge of the technical
aspects of algebra and enable the student to apply algebraic concepts to further
studies in mathematics and to applications in their fields of study.
COURSE AUDIENCE:
This course meets
the math requirement for students majoring in the social sciences, humanities,
education, allied health, agricultural sciences, and home economics and other
relevant programs.
TEXT and COVERAGE:
Ratti/McWaters,
College Algebra, 2nd ed. Chapters P, 1, 2, 3, and 4 (A list of
recommended problems is attached)
ADDITIONAL LEARNING RESOURCES:
On-line tutorials accompanying the text, Science
and Mathematics Tutorial Center, Academic Intervention Center, Trio Program,
Learning Resources Center Mathematics Lab, ICAN Program and Engineering Tutorial
Lab.
INSTRUCTIONAL METHODOLOGY: The
primary method of instruction used will be the Lecture/Discussion. Additional
instructional methods may involve a number of traditional and non-traditional
methods including cooperative learning, computer-assisted activities, board and
media presentations.
LEARNING COMPETENCIES:
Upon
successful completion of Math 1110, the student will be able to:
1. complete the square on an algebraic expression, rationalize either the numerator/denominator of an algebraic fraction, add algebraic fractions, simplify a compound/complex fraction, and factor algebraic and logarithmic expressions.
2. solve an equation for a given variable.
3. use the midpoint, distance and slope formulas in solving problems
4. shift, reflect and invert graphs.
5. set up and solve problems involving proportion and variation, compound and continuous
interest, growth and decay, number theory, investment and return, rates and motion, and
length, area and volume.
6. graph, find the equation of, find the center of and find the radius of a circle.
7. add, subtract, multiply and divide complex numbers.
8. plot a complex number in the complex plane.
9. solve polynomial, absolute value, exponential, logarithmic and algebraic equations.
10. verify and/or derive absolute value, algebraic and logarithmic identities.
11. find the range, domain, asymptotes, zeros and inverse of a function.
12. determine whether a function is even, odd.
13. determine where a function is increasing (decreasing), one-to-one.
14. add, subtract, multiply, divide and compose functions.
15. restrict the domain of a function and find the inverse of a function
16. solve of linear, absolute value, quadratic, rational and algebraic inequalities.
17. graph, find the equation of, find the slope of a line..
18. graph the logarithmic and exponential functions.
19. use the exponential and logarithmic properties in problem solving.
20. find the vertex and the equation of a parabola.; graph a parabola.
EVALUATION
PROCEDURE:
Students will be evaluated on their performance on
various combinations of homework, quizzes and exams. Exam questions will be
posed at the level of problems from the textbook and will be directly connected
to the learning competencies. Furthermore, exam questions will be designed to
evaluate the intellectual level of the students’ mastery of the learning
competencies.
Students mastery of the Learning Competencies will be evaluated according to the
following criteria:
1. Writing: Proper use of mathematical notation and symbolism as well as the proper use of spelling and grammar on any work that requires a written response.
2. Reading: Knowledge and application of the appropriate mathematical definitions required to solve problems.
3. Creative Thinking: The ability to draw on prior mathematical knowledge to develop solutions to unfamiliar problems.
4. Integrated Learning: The ability to solve application problems from other subject areas.
EXAMINATION
DATES: Final Examination for Spring 2011: Friday
April 28, 2011
Day classes: Friday April 29, 2011
8:00am -10:00am.
Evening classes: Friday April 29, 2011 6:35-8:35
pm.
(Place to be announced)
The Final will be based on the course common competencies and constitute
30% of the grade; No hand calculators, formula sheets, etc. may be used on the
Final. (Place to be announced)
GRADING POLICY:
Letter grades for the class will be assigned as follows:
A: (90-100)%, B: (80-89)%, C: (70-79)%, F: (0 – 69)%
|
TEST 1 |
TEST 2 |
TEST 3 |
TEST 4 |
TEST 5 |
HW/Quizzes |
FINAL EXAM |
|
110 |
110 |
110 |
110 |
110 |
150 |
300 |
*For all courses offered through the Physics and Mathematics Department, any incidence of academic dishonesty carries a minimum penalty of a non-removable zero for that work.
ATTENDANCE
POLICY: As outlined in the 2005-2007
University Undergraduate Catalog ( page 28) and subject to the same
restrictions, the Department of Physics and Mathematics recognize the following
reasons for granting an excused absence:
1.
an official University activity
2.
the death of an immediate family member
3.
an admittance of the student to a hospital
REMARKS:
1. No active cellular phones, pagers, beepers, computers or other electronic
devices are permitted in the classroom. Usage
of or an attempt to use any of these devises in exams carries a minimum penalty
of non-removable zero for that exam.
2. If you have a physical, psychological, medical or learning disability
that may impact on your ability to carry out assigned course work, please
contact the staff in the Disabled Student Services (DSS) Office, DSS will review
your concern and determine what accommodations are necessary and appropriate.
All information and documents of disability are confidential.
BIBLIOGRAPHY:
Dugopolski, Mark, College Algebra, Addison/Wesley 1995 Grossman, Stanley I. College Algebra, 2nd, Saunders, 1992 Schaum's Outline: College Algebra Sullivan, Micheal. College Algebra, 2nd, Mcmillian 1990
DEPARTMENT OF PHYSICS AND MATHEMATICS
TENNESSEE
STATE UNIVERSITY
MATH 1110 (old 1010, older 111) TENTATIVE
WEEKLY PLAN
Week
1
Exponents, Properties of the Logarithm
Week 2
Linear and Exponential Equations and Identities Aplications
Week 3
Complex Numbers
Quadratic Equations
Applications
Week 4
Test Polynomial, Radical, Absolute Value and Logarithmic Equations
Applications
Week 5
Inequalities
Lines
Graphs of Equations
Week 6
Proportion and Variation
Applications
Test
Week 7
Spring Break
Week 8
Function Properties (including the Exponential and Logarithmic)
Week 9 Function Properties (including the Exponential and Logarithmic)
Week 10 Graphing Functions
Week 11 Graphing functions (including the Exponential and Logarithmic)
Test
Week 12 Function Operations
Inverse Functions
Week 13 Applications of the Logarithmic and Exponential Functions
Week 14 Applications (assorted)
Test
Week 15 Summary and review
Final Exam
Math 1110
College Algebra I
PROBLEM SETS
Chapter 0
0.1 50 – 95 Multiples of 5
0.2 15 – 100 Multiples of 5
0.3 15 – 115 Multiples of 5
0.4 20 – 115 Multiples of 5
0.5 10 – 105 Multiples of 5
0.6 10 – 95 Multiples of 5.
Chapter 1
1.1 1-90 (Multiples of 5)
1.2 1-6, 7,8,10,11,12,13,14,19,20,21,22,25,31,32
1.3 1-6, 7,9,10,13,19, 21,23,27,35,37,39, 41,51,53,57,63,67,85,87,97,99
1.4 3,5,13,14,31,32
1.5 9,11,13,17,19,21,23,25,29,31,33,37,45,47,49,53,55,61,69,73,75
1.6 6,9,12,15,27,30,33,36,39,42,45,61
1.7 1-8, 13-40 (Multiples of 3)
1.8 3-60 (Multiples of 3)
Chapter 2
2.1 15-50 (Multiples of 5),52,55, 61-90 (Multiples of 5)
2.2 1-64 (Multiples of 5)
2.3 9-78 (Multiples of 5)
2.4 11,13,17,23,26,27,48,49,51,52,63,65,71,72,73,75
2.5 11-26 (Multiples of 3)
Chapter 3
3.1 15,20,25,29,35,40,45,50, 55-60,61,68,73,75
3.2 5-21 (Multiples of 3)
3.3 Optional
3.4 11-47 (All odds)
3.5 Optional
3.6 1-10,19,21,25,27,29,31,33,35,37,39,41
3.7 1-16 (Multiples of 5),22,23,25,27,31,45
Chapter 4
4.1 23,25,35,39,43,47,53,55,67,69,73,74
4.2 Optional
4.3 1-16,17,19,23,25,27,31,33-58 (Multiples of 3)
4.4 Optional
4.5 1-18 (Odds), 25-54 (Odds)
4.6 13,15,21,22,23, 33,36,38,39,42,45,48,49,52,55,57