Fall Semester, 2010 Syllabus
MA111/B
College Algebra
with
MA113/B
College Algebra Explorations
3 Credit Hours
with
1 Credit Hours
College Algebra: Concepts and Models, 5th edition
by Larson, Hostetler, and Hodgkins; published by Houghton Mifflin.
Division of Math and Applied Science
Instructor: Mr. Warkentin
The learning outcomes and competencies detailed in this syllabus meet, or exceed, the learning outcomes and competencies specified by the Kansas Core Outcomes Project for this course, as sanctioned by the Kansas Board of Regents.
College Algebra with College Algebra Explorations
Fall Semester, 2010
Course Number: MA111/B with MA113/B
Time & Day: 1:00-1:55 MWF, 1:30-2:25 TR
Location: Room 207
Instructor: Mr. Warkentin
Office: F-14, Yellow Pod
Phone: 785 - 243 - 1435, ext. 218
Email:
Required and Recommended Materials:
Ø College Algebra: Concepts and Models, 5th edition, by Larson, Hostetler, and Hodgkins; published by Houghton Mifflin
Ø A graphing calculator (preferably the TI-83+, TI-84 or Nspire non-CAS). No computer/calculator algebra systems or cell phones are allowed during tests (Examples: TI-89/92/Voyager/Nspire CAS).
Course Description: This course reviews standard topics of algebra. Students will study linear and quadratic equations, functional notation, linear, quadratic, rational, logarithmic and exponential functions, systems of equations and inequalities, and matrix algebra. Other topics may be covered at the instructor's discretion.
The following chapters are covered in the required text:
Chapter R1: Fundamental Concepts of Algebra
Chapter R2: Equations and Inequalities
Chapter 1: Functions and Graphs
Chapter 2: Polynomial and Rational Functions
Chapter 3: Exponential and Logarithmic Functions
Chapter 4: Systems of Equations and Inequalities
Chapter 5: Matrices and Determinants
Prerequisite: Two units of High School Algebra with a C or better and appropriate test scores or a C or better in Intermediate Algebra.
Seqencing: College Algebra and College Algebra Explorations are offered every semester.
Method of Evaluation/Grading: There will be a test after each chapter covered. These tests will count as 75% of the semester grade. The comprehensive final will count as 25% of the semester grade. College Algebra and College Algebra Explorations are graded as a single course.
Teaching Methods: Lecture
assignment policy: Homework practice problems will be assigned from each covered section. Homework is not graded and is done entirely at the student’s discretion.
Academic Integrity: Cheating means getting unauthorized help on an assignment, quiz or examination.
- You must not receive from any other students or give to any other students any information, answers, or help during an exam.
- You must not use unauthorized sources for answers during an exam. You must not take notes or books to the exam when such aids are forbidden, and you must not refer to any book or notes while you are taking the exam unless the instructor indicates it is an “open book” exam.
- You must not obtain exam questions illegally before an exam or tamper with an exam after it has been corrected.
Materials taken from “Academic Dishonesty in Our Classrooms.” Instructional Exchange, 1990, 2 (2), 1-4 (Newsletter available from the Office of University Assessment and Intellectual Skills Program, Western Michigan University)
Penalties for Infractions: Cheating can result in expulsion from the course with a failing grade.
Attendance Policy: Perfect attendance is strongly encouraged. It is the student’s responsibility to check with the instructor about any material covered during a missed class or any class changes that may have been made during their absence.
Conduct: Students are expected to conduct themselves so that all other students may benefit from class instruction. Students are to arrive on time, remain for the entire class period, and refrain from private conversation or other distracting activities during class.
Examination Policy: Students that will miss a test due to school activities must make arrangements with the instructor to take the test before leaving for the activity. If a test is missed because of illness or other emergencies the student must promptly make arrangements with the instructor to makeup the test.
Instructor Assistance: Students are welcome to ask questions during class or visit with the instructor during office hours.
Tutor Assistance: Tutors are available in the Learning Skills Center. Contact the Learning Skills Center for more information.
Incomplete Policy: Students will not be given an incomplete grade in the course without sound reason and documented as described in the Student Handbook. The incomplete must be made up with the instructor assigning the incomplete and must be completed the semester immediately following the semester in which the class was taken. Refer to the Student Handbook for a complete explanation.
ACADEMIC COMPLAINTS: Cloud County Community College has an Academic Due Process Policy to address any student academic complaints. For any unresolved complaints, the policy can be obtained from the Academic Affairs Office.
Department Goals: Students who complete a mathematics class at Cloud County Community College should be able to:
- Demonstrate mathematical reasoning or analysis.
- Demonstrate mathematical knowledge.
- Manipulate mathematical expressions.
COURSE OUTCOMES:
I Analysis and Graphing of Functions and Non-functions
a. Use function notation.
b. Recognize equations of functions and non-functions.
c. Use concepts of symmetry, intercepts, left-to-right behavior, asymptotes, and transformations to sketch graphs of functions (constant, linear, quadratic, absolute value, square root, cubic, polynomial, rational, exponential and logarithmic or non-functions, given their description.
d. Determine the domain and range of a function.
e. Write the equation of a function or non-function listed in I (c), given its description.
f. Use graphs of functions for analysis.
g. Find combinations and composites of functions.
h. Find inverses of functions.
II. Solution of Equations and Inequalities
a. Solve the equations listed in I (c).
b. Solve the following types of inequalities:
1. linear.
2. polynomial.
3. rational.
4. absolute value.
c. Solve systems of inequalities by graphing.
d. Apply equations from I (c). Examples include, but are not limited to, growth and decay, depreciation, and trajectories.
e. Examine and analyze data, make predictions/interpretations, and do elementary modeling.
f. Solve systems of equations using various methods, including matrices.
ASSESSMENT of COURSE OUTCOMES: The outcomes of this course will be assessed on the following categories. This assessment is not in any way related to individual student grades.
1. Solve various types of equations as listed in Core Competencies.
2. Solve various types of inequalities as listed in Core Competencies.
3. Solve systems of equations and inequalities using various methods.
4. Work extensively with functions, including, but not limited to, arithmetic operations with functions, finding compositions of functions, describing transformations of graphs, and finding inverse functions.
5. Write the equations of various functions given sufficient information.
6. Develop and solve various mathematical models.
7. Perform arithmetic operations on matrices.
Accommodation for Disability: If accommodation is needed for any type of disability contact the Director of Advisement and Counseling in the Advising Center.
Contact BY the INstructor: Any official email contact by the instructor will be sent to the student’s CCCC email account.
Inclement Weather Policy: In case of extremely severe weather, the college may close. The following radio and TV stations will be notified:
KNCK 1390 AM Concordia KCLY 100.9 FM Clay Center
KREP 92.1 FM Belleville KHCD 89.5 FM Hutchinson
KVSV 1190 AM Beloit KSAL 1150 AM Salina
WIBW (TV) Chan. 13 Topeka KWCH (TV) Chan. 12 Wichita
KOLN (TV) Chan. 10 Lincoln, NE
Notification will also be placed on the internet at www.cancellations.com. A text message will also be sent out on the Emergency Text Messaging System for the students who have signed up for it.
Students should call the switchboard at 800-729-5101 or 785-243-1435 if they are unable to attend class due to hazardous conditions. Night class and off campus class cancellations are left to the discretion of the instructor.
EMERGENCY NOTIFICATION PROCEDURE: When alarms are sounded or crisis conditions arise, you will be instructed to move to a designated safe area or to remain in the classroom until the crisis has passed. If you are informed to leave the room, take as many of your personal belongings as time permits. Cell phones and other electronic devices are only to be used once you arrive in the safe area outside the building. Students requiring special assistance will be the responsibility of the instructor or staff person.
Systems of alert for tornado or bomb threat: PA system, phone, or staff interruption of class. In case of fire, the alarm will sound.
If directed to leave the building, evacuate to the soccer field unless an alternate safe location has been designated.
College Algebra Assignments
Mr. Warkentin
Chapter R1
Section R1.1 – 1, 3, 5, 7-10, (13, 14, 17, 18, Plot the two real numbers on a scaled number line), 19, (21-29, Describe each inequality as a) Graph, b) Interval Notation, c) Set Builder Notation), 31-36, 37-43, (45,46, After using the same directions as the other problems in this section explicitly write the lesson to be learned from comparing these two problems.), 47, 49, 51, (53, 55, 57, 59, 61, Write the distance between the numbers using absolute value notation in two ways (45, 46) and then find the exact distance.), 63-68, 85, 86, 88
Section R1.2 – (1, 3, 5, List the terms of the algebraic expression.), 7-10, 11, 13, 15, 17, 19-34, 35, 37, (39-46, Do not use a calculator.), 47, 49, 51, 53, 59, 61
Section R1.3 – (1-19, Odd), 21, 22, 23, 24, (25-59 odd), 63, 65, 67, (70, This problem presents an important lesson.), 71, 73
Section R1.4 – (1-69, Odd), (71, This problem presents an important lesson.), 77, 78, 79, 83, 87, 91, 93, 94.
Mid-Chapter Quiz – Optional
Section R1.5 – (1-55, Odd), 59, 61, 63
Section R1.6 – (1-67, Odd), 73, 76, 77, 78
Section R1.7 – (1-59, Odd)
Review Exercises R1 – Optional
Chapter Test R1 – (1-22 All)
Chapter R2
Section R2.1 – (1-53, Odd), (55, This problem presents an important lesson.), 58, 71
Section R2.2 – (1-19, Odd), 33, 37, 43, (48, This problem presents an important concept.), (51, This problem illustrates the similar triangles solution method.), (67-80, All)
Section R2.3 – (1-57, Odd), (59, 60, These problems point up two common mistakes), 61, 66, 72, 76
Section R2.4 – (1-45, Odd), 53, 57, 63, 67
Mid-Chapter Quiz – Optional
Section R2.5 – (1-55, Odd), 59, 61, 65, 69, 77
Section R2.6 – 1, 3, 5, (7-14, All), (15-59, Odd), (61-68, All, These problems are important for reviewing absolute value concepts), 71, 79, 85
Section R2.7 – (1-39, Odd, Be sure to graph each inequality on a graphing calculator after obtaining a zero on one side.), (42, This problem is designed to point out an important distinction), 43, 45, 47, (49, See section R2.3), 59
Review Exercises R2 – Optional
Chapter Test R2 – (1-20 All)
Cumulative Test: Chapters R1-R2 – Optional
Chapter 01
Section 01.1 – (1-49, Odd), (51-56 All), (57-93, Odd)
Section 01.2 – 1, 3, 5, 7, 8, (9-49, Odd), 51, 52, (57-67, Odd), 68, 69, 73, 83
Section 01.3 – (1, Use a graphing calculator to create a scatter plot and find a best-fit line for this problem.), (5-9, Odd), 13, 16, 27, 47
Section 01.4 – (1-63, Odd), 65, 66, 67, 71, 75
Mid-Chapter Quiz – Optional
Section 01.5 – (1-59, Odd, Use a graphing calculator to ‘sketch’ the graphs. Problems 43 and 45 are piecewise functions and require the method used in class to produce a graph.), 62
Section 01.6 – (1-33, Odd, Use a graphing calculator to graph both the original function and the transformed function.), 41, (45, This problem is easiest when the sketches are drawn by hand.)
Section 01.7 – (1, 3, These problems are best done by reproducing the graphs in the problem and then constructing the solution.), (5-51, Odd), 61, (65, This problem requires a good understanding of the domain, range and composition concepts. Do not do the ‘Why’ part of the question.)
Section 01.8 – (1-61, Odd), 65
Review Exercises 01 – Optional
Chapter Test 01 – (1-18 All)
Chapter 02
Section 02.1 – (1-8, All), (9-35 Odd), 43, 45
Section 02.2 – (1-8, All), (9-41 Odd), 59
Section 02.3 – (1-71 Odd)
Section 02.4 – (1-25 Odd), (27-32, All), (33-45, Odd), 51
Mid-Chapter Quiz – Optional
Section 02.5 – 1, 2, (3-55 Odd), (56, 57, These two problems illustrate common errors.), (71-76, All)
Section 02.6 – (1-51 Odd), (59, Watch the details closely.), 61, 63
Section 02.7 – (1-11 Odd), (13-18, All), (19-29, These problems review translations), (31-53, Make a list of the intercepts (x & y), symmetry (with respect to the x-axis, with respect to the y-axis, with respect to the origin), vertical asymptotes, horizontal asymptotes and then confirm these predictions by using a graphing calculator.), 55, 57, 61, 67
Review Exercises 02 – Optional
Chapter Test 02 – (1-16 All)
Chapter 03
Section 03.1 – (1-9, Odd), (11-18 All), (19, 20, 21, 27, Use a graphing calculator to ‘sketch’ these functions.), 37, 41, 45, 49, 57, 61, 62
Section 03.2 – (1-19, Writing the inverse form of exponential/logarithmic statements is a valuable solution tool.), (21-51, Odd), (53-58 All), (59-67 Odd), 69, 70
Section 03.3 – (1-99, Odd), 105
Mid-Chapter Quiz – Optional
Section 03.4 – (1-91, Odd), 103
Section 03.5 – (1-33, Odd), (39-55, Odd)
Review Exercises 03 – Optional
Chapter Test 03 – (1-21 All)
Cumulative Test: Chapters 01-03 – Optional
Chapter 04
Section 04.1 – (1-43, Odd), 49, 51, 57
Section 04.2 – (1-39, Odd), 45
Section 04.3 – (1-27, Odd), 33, 35, 37
Mid-Chapter Quiz – Optional
Section 04.4 – (1-47, Odd)
Section 04.5 – (1-27, Odd), 33, 41
Review Exercises 04 – Optional
Chapter Test 04 – (1-16 All)
Chapter 05
Section 05.1 – (1-7, Odd), (21, 23, Use the six matrix method.), (29-41, Odd), 47, 49, 51, 53, 55, 59, 71
Section 05.2 – (1-33, Odd), (35, 37, 39, Use the either the four or six matrix method to solve the resulting matrix equation.), 57
Section 05.3 – 1, 3, 5, 7, 11, 13, 15, 17, 21, 23, 37, 39, 41, 43, 45, 47, 49, 53, 55, 57, 59, Do these problems initially without a calculator and then check your work with the calculator.)
Mid-Chapter Quiz – Optional
Section 05.4 – (1-13, Odd), (19-41, Odd), (53, 55, Use the upward and downward diagonals method.)
Section 05.5 – (1-29, Odd), 35, 39, 41, 43, 45
Review Exercises 05 – Optional
Chapter Test 05 – (1-20 All)