Attendance: Regular class attendance is essential.
In the event of absence students
are responsible for all material, as signments and announcements given in class.
Late
homework assignments will not be accepted and there will be no make-up exams
(see
grading policy below).
Classroom Expectations: Students are expected to observe courteous
classroom
etiquette. Please refrain from chatter during the lecture and discussion.
Enter and exit
the classroom quietly when class is in session. When entering after lecture
has
started, unpack books before coming into the room, and try not to cross in front
of the
speaker. Sit near the door, if you must leave early. Turn off cell phones and
beepers
before entering the classroom.
Grading Policies: There will be graded homework assignments, group
assignments ,
three tests, a group project, and a com prehensive final exam
They will count as follows:
|
Four tests counting 100 points each |
400 points |
|
Graded homework assignments |
100 points |
|
Group project |
50 points |
|
Comprehensive final exam |
150 points |
|
Total |
700 points |
No make-up exams will be given. However, the final exam
grade (scaled
appropriately) may be substituted for the lowest test grade. Grades will be
assigned as
follows:
540 - 600 points A
480 - 539 points B
420 - 479 points C
360 - 419 points D
Be low 360 points F
Techno logy Statement : A TI-83, TI84, or TI-83 Plus graphing calculator is
required
and will be used throughout the course to enhance mathematical thinking and
problem
solving and to judge the reasonableness of results. (An equivalent graphing
calculator
may be used, but the student will be responsible for learning to use any
calculator
other than the TI-83.)
Daily Homework: Some of the daily homework assignments will be completed
via
WebAssign, an internet based learning platform that accompanies the textbook.
Problems for each section of material must be completed no
later than one week after
the material is discussed in class. Late homework will not be accepted.
WebAssign
homework problems can be worked quadratic -formula/multiple-choice-tests-for.html">multiple times until a correct answer is
recorded.
Once the homework is “submitted”, the grade for that assignment is recorded in
the
WebAssign gradebook. Once recorded, the homework grade cannot be changed.
Additional problems will be assigned from the textbook.
Textbook: `Functions and Change, Third Edition, by Crauder, Evans, and
Noell
Important Dates:
Test I – February 11
Last day to with draw without academic penalty – March 10
Test II – March 12
Test III – April 2
Test IV – April 23
Group project due – April 28
Final exam – May 5
Learning Outcomes:
1.Demonstrate knowledge and understanding of the Math 1101 topics.
a. Students will determine whether a relation given as a set of points, a
graph, or an equation represents a function.
b. Students will find the domain and range of a function.
c. Students will evaluate a function given by a graph or by an equation.
d. Students will combine functions arithmetically and relate combined
functions to applications.
e. Students will form composite functions and specify their domains.
f. Students will determine whether or not a function has an inverse that is
also a function.
g. Students will find the inverse of a function and state the domain and
range of the inverse function.
h. Students will compute the slope of a line and interpret the slope as rate
of change.
i. Students will recognize characteristics of linear, quadratic, piece-wise,
third and fourth degree polynomial, exponential, and logarithmic functions.
j. Students will locate relative and absolute maxima and minima, and x-
and y- intercepts of functions .
k. Students will solve equations involving linear, quadratic, piece-wise,
third and fourth degree polynomial, exponential, and logarithmic
expressions using algebraic and/or graphical methods.
l. Students will model real data using linear, quadratic, piece-wise,
cubic polynomial, exponential, and logarithmic functions.
m. Students will solve systems of linear equations using the methods of
elimination , substitution, and matrix inverses.
2. Formulate and solve problems from both mathematical and
everyday
situations.
a. Students will use combined functions including composite functions to
solve problems.
b. Students will solve applied problems involving the various classes of
functions described in 1i above.
c. Students will justify the appropriateness of selecting a particular class
of function for modeling a set of data.
d. Students will discuss the advantages and disadvantages of using a
model for interpolation and extrapolation.
e. Students will interpret and use properties such as relative and absolute
maxima and minima and x- and y-intercepts in solving problems.
f. Students will solve problems using systems of equations.
3. Communicate mathematical ideas using both everyday and mathematical
language.
a. Students will use function notation correctly.
b. Students will describe what the answer to a problem means in practical
terms.
c. Students will express English statements using mathematical notation,
and interpret symbolic mathematical statements in English.
4. Use calculator to explore and solve problems.
a. Students will graph a function on an appropriate viewing window
using the graphing calculator.
b. Students will create regression models using the graphing calculator.
c. Students will use the Trace/Calc feature of the graphing calculator
to solve equations and to locate relative maxima and minima as
well as zeros of polynomial functions.
5. Participate in collaborative groups and co operative learning .
a. Students will work collaboratively in small groups to solve problems.
6. Connect mathematics to other disciplines and real-world situations.
a. Students will model real data using mathematical functions.
b. Students will solve applied problems from a variety of disciplines.
7. Experience the power and usefulness of mathematics in solving real
problems.
a. Students will learn mathematics in the context of solving real world
problems.
b. Students will make decisions about real world problems based on the
mathematical models that they have created.
Tentative Class Schedule:
|
Date |
Section(s) covered |
|
1/7 |
Prologue, 1.1 |
|
1/9 |
1.1, 1.2 |
|
1/14 |
1.3, 1.4 |
|
1/16 |
1.4 |
|
1/23 |
2.1, 2.2 |
|
1/28 |
2.2 |
|
1/30 |
2.3, 2.4 |
|
2/4 |
2.4, 2.5 |
|
2/6 |
Review |
|
2/11 |
Test 1 |
|
2/13 |
3.1 |
|
2/18 |
3.2 |
|
2/20 |
3.3 |
|
2/25 |
3.4 |
|
2/27 |
3.5 |
|
3/10 |
Review |
|
3/12 |
Test 2 |
|
3/17 |
4.1, 4.2 |
|
3/19 |
4.2 |
|
3/24 |
4.3 |
|
3/26 |
4.4 |
|
3/31 |
Review |
|
4/2 |
Test 3 |
|
4/7 |
5.1, 5.2 |
|
4/9 |
5.3 |
|
4/14 |
5.4 |
|
4/16 |
5.5 |
|
4/21 |
Review |
|
4/23 |
Test 4 |
|
4/28 |
Review; Group Project due |
|
5/5 |
Final Exam (Comprehensive) |