Download Syllabus

MATH 1351
FUNDAMENTALS OF MATHEMATICS II
FALL 2015
Instructor Name: Teresa Nguyen
Location: LHSB 2.602
Phone: 956-882-4169
E-mail: [email protected]
Office Hours: TR 2:00 – 4:30 pm and Others by appointment
Textbook and/or Resource Material
Title
A Problem Solving Approach to Mathematics for Elementary School Teachers 11th ed
Author
Billstein, Libeskind and Lott
ISBN
0-321-75666-5 or 978-0-321-75666-4
Type
Print
Required Yes
Course Materials
Calculator: 5-Function (add/subtract/multiply/divide/square root)
Course Description and Prerequisites
This course is designed for students seeking teacher certification for grade levels Early Childhood to Eighth Grade.
Selected topics will be studied from an advanced point of view and may include: Integers; Fractions; Decimals;
Statistics; Probability; Geometry; and Measurements. Prerequisites: College Ready TSI status in Mathematics.
Learning Objectives/Outcomes for the Course
Upon completion of this course, students should be able to:
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understand fractions as part of a whole, part of a collection, location on a number line, and as division of real
numbers.
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judge the size of a fraction.
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use fractions to solve problems.
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order fractions.
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use ratios and proportions to represent quantitative relationships.
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add, subtract, multiply, divide and estimate with rational numbers.
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use properties of rational numbers.
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use properties of rational exponents.
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work with fractions, decimals, and percent to solve problems.
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use division to express any fraction as a decimal, including fractions represented by nonterminating decimals.
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write a repeating decimal in the form a/b where a, b are integers and b ≠ 0.
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order repeating decimals.
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find roots of real numbers, both rational and irrational.
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estimate a square root.
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solve equations in one unknown.
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use properties to solve problems using the so-called cross-multiplication method and other intuitive
strategies.
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solve application problems using percent.
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use the three different forms to solve percent problems.
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estimate with percent.
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determine probabilities of events with equally likely outcomes.
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find the probability of two mutually exclusive and non-mutually exclusive events.
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determine the probability of complementary events.
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use the multiplication rule for probability.
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find the probability of independent events.
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estimate probabilities using simulations.
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find the odds in favor of an even occurring.
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find the conditional probability that event B occurs given event A.
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find the number of permutations of objects in a set.
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find the number of combinations possible in a counting problem.
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use permutations and combinations to solve problems.
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display data using bar graphs, tables, pictographs, histograms, line plots, box plots, stem and leaf
plots, scatterplots, and circle graphs.
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use measures of center and understand what each dos and does not indicate about the data sets.
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find, use, and interpret measures of center and spread.
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find the standard deviation of a data set.
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use the fundamental building blocks of geometry, i.e., point, line, and plane.
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use the basic and planar notions of geometry, i.e., collinear points, segments, rays, coplanar points, coplanar
lines, intersecting lines, concurrent lines, parallel lines, skew lines, parallel planes and space.
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define and classify angles according to size as acute, obtuse, right, or straight.
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measure angles using a protractor.
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use angle measure to solve problems.
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identify physical objects with certain geometric characteristics such as parallel lines, parallel planes, skew
lines, right angles, etc.
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classify curves according to their attributes.
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classify polygons according to the number of sides or vertices.
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classify triangles and quadrilaterals according to their angle measures or according to their side length.
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classify and find the measure of vertical angles, corresponding angles, alternate interior angles, alternate
exterior angles, interior angles on the same side of the transversal, complements of angles, and supplements of
angles.
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find the sum of the measures of the interior angles of a triangle.
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find the sum of the measures of the interior angles of a convex polygon with n sides.
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find the sum of the measures of the exterior angles of any convex polygon.
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identify and use special properties of three-dimensional figures such as prisms, pyramids, regular polyhedra,
cylinders, cones, and spheres.
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Use various properties to show that two triangle are congruent.
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use formulas to find the areas of squares, rectangles, parallelograms, triangles, trapezoids, kites, regular
polygons, circles, and sectors.
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use the Pythagorean theorem and the converse of the Pythagorean theorem.
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use formulas to find the surface areas of prisms, right circular cylinders, right circular cones, right regular
pyramids, and spheres.
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use formulas to find volumes of right rectangular prisms, cubes, right circular cylinders, pyramids, circular
cones, and spheres.
Course Content/Organization
It is responsibility of each student to read appropriate textbook section and view PowerPoint Presentation before
arriving to lecture. You may find the slides through the ‘PowerPoints’ button to the left.
WRITTEN HOMEWORK:
A set of problems from the textbook are assigned for each section covered. You may find the problems through the
‘Homework’ button to the left.
GROUP ACTIVITIES:
You are also expected to participate in discussions and group activities in class. Points will be based on work
completed as well as full participation and collaboration with your group.
MAJOR EXAMINATIONS:
There will be four major examinations for the course.
Exam 1: Rational Numbers and Proportional Reasoning (Chapter 6)
Exam 2: Rational Numbers and Percent; Probability (Chapters 7 and 9)
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Exam 3: Data Analysis/Statistics: An Introduction (Chapter 10)
Exam 4: Introductory Geometry; Area, Pythagorean Theorem and Volume (Chapters 11 and 14)
FINAL EXAMINATION:
A comprehensive final exam will be given during final exam period.
Grading Policies
The semester grade will be determined for each student as follows:
Final examination
Assignments
Examinations average
Group Work
Grading Scale
Average
90 - 100
80 – 89
70 – 79
60 – 69
Below 60
25%
20%
40%
15%
Grade
A
B
C
D
F
There will be NO MAKE-UP examinations; however, if you know you will be gone on an exam day for a valid reason,
you may arrange to take the exam early. If you miss one of the regular examinations, the final examination grade
will be substituted for the missed examination. If you take all the regular examinations, the final examination
grade may be substituted for the lowest regular examination score.
Special Notes
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No late assignments will be accepted without the prior approval of the professor.
Students who are absent are responsible for the submission of any subsequent assignment.
Students are encouraged to form study groups to help each other with homework or to study for
examinations.
Please refrain from leaving class early unless it is absolutely necessary and you have notified your professor
in advance.
Please turn off cellular phones and pagers during class.
Calendar of Activities
Important dates for Fall 2015 include:
August 31
September 7
September 16
November 18
November 26-27
December 10
December 11-17
Classes Begin
Labor Day Holiday; university closed
Last day to drop a class before it appears on the transcript and counts toward the “6-drop” limit. Last
day to receive a 100% refund for dropped classes (other policies apply when a student is
withdrawing from all classes).
Drop/Withdrawal Deadline; last day for students to drop the course and receive a DR grade. After
this date, students will be assigned a letter grade for the course that will count on the GPA.
Thanksgiving Holiday; university closed
Study Day; no classes
Final Exams
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UTRGV Policy Statements
STUDENTS WITH DISABILITIES: Required on all syllabi. Do not modify.
If you have a documented disability (physical, psychological, learning, or other disability which affects your
academic performance) and would like to receive academic accommodations, please inform your instructor and
contact Student Accessibility Services to schedule an appointment to initiate services. It is recommended that you
schedule an appointment with Student Accessibility Services before classes start. However, accommodations can
be provided at any time. Brownsville Campus: Student Accessibility Services is located in Cortez Hall Room 129
and can be contacted by phone at (956) 882-7374 (Voice) or via email at [email protected]. Edinburg
Campus: Student Accessibility Services is located in 108 University Center and can be contacted by phone at (956)
665-7005 (Voice), (956) 665-3840 (Fax), or via email at [email protected].
MANDATORY COURSE EVALUATION PERIOD:
Students are required to complete an ONLINE evaluation of this course, accessed through your UTRGV account
(http://my.utrgv.edu); you will be contacted through email with further instructions. Online evaluations will be
available Nov. 18 – Dec. 9, 2015. Students who complete their evaluations will have priority access to their grades.
ATTENDANCE:
Students are expected to attend all scheduled classes and may be dropped from the course for excessive absences.
UTRGV’s attendance policy excuses students from attending class if they are participating in officially sponsored
university activities, such as athletics; for observance of religious holy days; or for military service. Students should
contact the instructor in advance of the excused absence and arrange to make up missed work or examinations.
SCHOLASTIC INTEGRITY:
As members of a community dedicated to Honesty, Integrity and Respect, students are reminded that those who
engage in scholastic dishonesty are subject to disciplinary penalties, including the possibility of failure in the
course and expulsion from the University. Scholastic dishonesty includes but is not limited to: cheating, plagiarism,
and collusion; submission for credit of any work or materials that are attributable in whole or in part to another
person; taking an examination for another person; any act designed to give unfair advantage to a student; or the
attempt to commit such acts. Since scholastic dishonesty harms the individual, all students and the integrity of the
University, policies on scholastic dishonesty will be strictly enforced (Board of Regents Rules and Regulations and
UTRGV Academic Integrity Guidelines). All scholastic dishonesty incidents will be reported to the Dean of Students.
SEXUAL HARASSMENT, DISCRIMINATION, and VIOLENCE:
In accordance with UT System regulations, your instructor is a “responsible employee” for reporting purposes
under Title IX regulations and so must report any instance, occurring during a student’s time in college, of sexual
assault, stalking, dating violence, domestic violence, or sexual harassment about which she/he becomes aware
during this course through writing, discussion, or personal disclosure. More information can be found at
www.utrgv.edu/equity, including confidential resources available on campus. The faculty and staff of UTRGV
actively strive to provide a learning, working, and living environment that promotes personal integrity, civility, and
mutual respect in an environment free from sexual misconduct and discrimination.
COURSE DROPS:
According to UTRGV policy, students may drop any class without penalty earning a grade of DR until the official
drop date. Following that date, students must be assigned a letter grade and can no longer drop the class. Students
considering dropping the class should be aware of the “3-peat rule” and the “6-drop” rule so they can recognize
how dropped classes may affect their academic success. The 6-drop rule refers to Texas law that dictates that
undergraduate students may not drop more than six courses during their undergraduate career. Courses dropped
at other Texas public higher education institutions will count toward the six-course drop limit. The 3-peat rule
refers to additional fees charged to students who take the same class for the third time.
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