I. Course Description
This is a 4 credit hour course. The prerequisite for this course is
qualification through
placement. The material for this course is basic college algebra: linear,
quadratic, exponential,
and logarithmic equations , properties and graphs of linear, quadratic,
exponential, logarithmic,
polynomial and rational functions. Students may not receive credit for both MATH
111 and
MATH 115.
II. Goals and Learning Outcomes
The overall goal of Math 111 is to make students understand mathematical
Value .html">concepts using
real -world data and questions. The measurable learning outcomes used to
de termine the
degree to which this goal is being met follow:
Students will make connections among the
multiple representations of functions.
Students will analyze real-world problems and select/explain the appropriate
method of
analysis
Students will identify properties of functions.
Students will simplify expressions using the rules of exponents.
Students will model growth and decay phenomena with exponential functions.
Students will understand the properties of logarithmic functions.
Students will use logarithms to solve exponential equations.
Students will understand the behavior and construct graphs of quadratic,
polynomial,
rational, exponential, and logarithmic functions.
Students will transform any function using stretches, compressions, shifts,
and
reflections.
Students will combine any two functions using basic algebraic operations or
composition.
Students will identify when a function has an inverse.
III Overall Structure of the Course:
| 1.1 |
Analyzing single variable data |
| 1.2 |
The relationship between two variables |
| 1.3 |
Introduction to functions |
| 1.4 |
Function terminology |
| 1.5 |
Visualizing functions |
| 2.1 |
Introduction to the average rate of change |
| 2.2 |
Analyzing the change in the average rate of
change |
| 2.3 |
Introduction to slopes |
| 2.4 |
Interpreting data |
| 2.5 |
Introduction to linear functions (constant rates
of change) |
| 2.6 |
Visualizing linear functions (the effects of
slopes and intercepts) |
| 2.7 |
Graphs and equations of linear functions |
| 2.8 |
Proportionality; horizontal and vertical lines;
parallel and perpendicular lines |
| 2.9 |
Linear models for data |
| 4.1 |
Scientific notation |
| 4.2 |
Positive integer exponents |
| 4.3 |
Negative integer exponents |
| 4.5 |
Fractional exponents |
| 4.6 |
Orders of magnitude |
| 4.7 |
Introduction to base 10 logarithms |
| 5.1 |
Exponential growth |
| 5.2 |
Linear vs. exponential functions |
| 5.3 |
Exponential decay |
| 5.4 |
Visualizing exponential functions |
| 5.5 |
Introduction to exponential functions (constant
percent change) |
| 5.6 |
Examples of Exponential Growth and Decay |
| 6.1 |
Solving equations using logarithms |
| 6.2 |
Introduction to base e; Applications using
continuous compounding |
| 6.3 |
Introduction to the natural logarithm |
| 6.4 |
Introduction to logarithmic functions |
| 6.5 |
Converting base a to ek |
| 8.1 |
Introduction to quadratic functions |
| 8.2 |
Finding the vertex |
| 8.3 |
Finding horizontal intercepts; Solving quadratic
equations; Introduction to the quadratic formula |
| 8.5 |
Introduction to polynomial functions |
| 8.6 |
New functions from old (stretching, compressing,
reflecting, shifting, symmetry) |
| 8.7 |
Combining functions (adding, subtracting,
multiplying, dividing) |
| 8.8 |
Composition and Inverse Functions |
VII Assessment and Grading
| Activity |
Value |
| Daily Activities (homework, quizzes) |
30% |
| 3 Chapter Tests |
15% each (45% total) |
| Final Exam |
25% |
To get your final average in the class, do this:
.30(your daily activity points/1185) + .15(all your test points) + .25(your
final exam grade)
Grades
| If your final average is . . . |
You will receive this grade in the course. . . |
| 90 through 100 |
A |
| 85 through 89 |
B+ |
| 80 through 84 |
B |
| 75 through 79 |
C+ |
| 70 through 74 |
C |
| 65 through 69 |
D+ |
| 60 through 64 |
D |
| 0 through 59 |
F |
VIII Course Schedule
We’ll do our best to stick to this schedule, but we may get ahead or behind,
depending on
how well the class understands the material. Homework is due by 11
pm on the Due Date. All
homework will be completed on WileyPLUS.
| Monday |
Tuesday |
Wednesday |
Thursday |
| |
|
|
8/20
Classes Begin
Introduction(syllabus,
WileyPLUS)
Section 1.1 |
8/24
Section 1.2
|
8/25
Section 1.3
|
8/26
Section 1.4
Last day to register,
change a schedule or
drop a course without
a grade
of "W" |
8/27
Section 1.5
Due: Assignment
Zero and sections 1.1,
1.2, and 1.3
|
8/31
Section 2.1
|
9/1
Section 2.2
Due: Sections1.4, 1.5 |
9/2
Section 2.3
Quiz 1 (1.1, 1.2, 1.3) |
9/3
Section 2.4
Due: Sections 2.1, 2.2 |
9/7
Labor Day—No Class
|
9/8
Section 2.5
Due: Sections 2.3, 2.4 |
9/9
Section 2.6
|
9/10
Section 2.7
Due: Sections 2.5, 2.6 |
9/14
Section 2.8
Quiz 2 (2.1, 2.2, 2.3) |
9/15
Section 2.9
Due: Sections 2.7, 2.8 |
9/16
Exam 1 Review |
9/17
Review continued
Due: Sections 2.9 |
9/21
Exam 1: Chapters 1&2
|
9/22
Section 4.1
|
9/23
Section 4.2
|
9/24
Section 4.3
Due: Sections 4.1, 4.2 |
9/28
Section 4.5
|
9/29
Section 4.6
Due: Section 4.3, 4.5
|
9/30
Section 4.7
Quiz 3 (4.1, 4.2, 4.3)
|
10/1
Section 5.1
Last day to drop a
course or with draw
without a grade of
"WF" (Oct 2)
Due: Sections 4.6, 4.7 |
10/5
Section 5.2
|
10/6
Section 5.3
Due: Sections 5.1, 5.2 |
10/7
Section 5.4
Quiz 4 (4.5, 4.6, 4.7) |
10/8
Fall Break
|
10/12
Section 5.5
Quiz 5 (5.1, 5.2, 5.3) |
10/13
Section 5.6
Due: Sections 5.3, 5.4 5.5 |
10/14
Exam 2Review
|
10/15
Exam 2: Chapters 4&5
Due: Sections 5 |
10/19
Section 6.1
|
10/20
Section 6.2
Due: Section 6.1 |
10/21
Section 6.3
|
10/22
Section 6.4
Due: Sections 6.2, 6.3 |
10/26
Section 6.5
Quiz 6 (6.1, 6.2) |
10/27
Section 8.1
Due: Sections 6.4, 6.5 |
10/28
Exercises 8.1
|
10/29
Section 8.2
Due: Section 8.1 |
11/2
Exercises 8.2 |
11/3
Due: Section 8.2 |
11/4
Section 8.3 |
11/5
Exercises 8.3 |
11/9
Section 8.5 |
11/10
Exercises 8.5
Due: Section 8.3 |
11/11
Section 8.6 |
11/12
Exercises 8.6
Due: Section 8.5 |
11/16
Section 8.7
|
11/17
Section 8.8
Due: Section 8.6 |
11/18
Exercises 8.8
|
11/19
Exam 3 Review
Due: Sections 8.7, 8.8 |
11/23
Review continued |
11/24
Exam 3: Chapter 6&8 |
11/25
Thanksgiving |
11/26
Thanksgiving |
11/30
Advanced Topics |
12/1
Advanced Topics |
12/2
Review for Final Exam |
12/3
Review for Final Exam |
Final Exam: Monday December 7, 2009 8:00 a.m. -10:30 a.m.
IX Where to get help
Academic Success Center
The Academic Success Center is a free tutoring lab, located on the second floor
of Medford
Library. I will give you a handout with more information as soon as
it’s available (probably
next week).
Student Solutions Manual/ Additional Homework
If you feel like you need more practice, you may do homework from the textbook.
WileyPLUS
provides a student solution manual that contains solutions to Algebra
Aerobics and to the odd
numbered exercises. To access it, log in to WileyPLUS.
Go to Read, Study and Practice. Choose
the appropriate chapter. Scroll down to
Student Hints and Solution Manuals.
Additional WileyPLUS Homework
I provided some additional problems on WileyPLUS. You will not receive any
credit for
competing these. However, some of you will find that you need the
extra practice in order to
better prepare for the tests.
Office Hours
You are always welcome to come to my office hours. You can also make an
appointment to
meet at some other mutually-convenient time.
