SHAW
UNIVERSITY
MAT112 (3 credit hours)
SPR. 2010 (PRE: MAT 111)
__________________________________________________________________________________________________________________
Instructor
Dr.Simon N.Ugwuoke
Office:
Robert Science Bldg
Email:
sugwuoke@shawu.edu
Research Wing, RM 122
Office
Hours:
TBA
Phone:(919)
546-8543(O); 612-6864(C)
The mission of General Education or the Core Curriculum at Shaw University is
to provide students with a broad-based knowledge of the liberal arts and
sciences, technological skills, and critical thinking skills.
It also stresses character development.
In compliance with the SACS requirement, it consists of “a minimum of
30 semester hours, drawn from and including at least one course from each of
the following areas: humanities/fine arts, social/behavioral sciences, and
natural science/mathematics.
General Education or the Core Curriculum will be delivered in an interactive
setting in order to promote positive engagement among students, faculty, and
staff; increase coherence of the General Education program, and enhance
student persistence at the University.
General Education Program Goals
The goal of the General Education program that pertains to the Mathematics Unit is:
To ensure that students possess a breadth of knowledge and skills through
integrated study of coursework in various disciplines.
General
Education Program Learning
Outcomes
1.
Students
will gain knowledge of the liberal arts and sciences from 42-68 credit hours
(depending on the major) of General Education/ Core Curriculum integrated
courses in the humanities/fine arts,
social/behavioral sciences, natural sciences/mathematics, physical sciences,
and allied health professions for which course syllabi specify expected
student learning outcomes.
2.
Students will demonstrate their skills in reading, writing, critical thinking,
mathematics, and science.
3.
Students will demonstrate a multidisciplinary perspective.
To produce graduates who are critical-thinking problem solvers with the
knowledge, pedagogical and technological skills, and professional dispositions
needed to function productively and effectively in a diverse world.
This is a University Core Course in Mathematics taken
by Freshmen. Students in this
course are expected to have successfully completed or placed out of MAT 110
and 111. The students in this course are introduced to topics on set theory,
logic, probability, and statistics, and applications in those areas. The
students are trained in critical thinking and problem solving skills to be
applied to real world situations. This course is the third of a three-sequence
study in college mathematics.
Student Learning Outcomes
|
After completing this course successfully,
the students should be able to do the following: |
Assessment of Student Learning Outcomes
(Assessment Tools) |
Program Learning Outcome link to the SLO |
|
Describe the meaning
of the word “set” and write a given set in three different ways. |
Exams, Quizzes,
Homework, & Comprehensive Final Exam |
# 1, 2, and 3 |
|
Identify well-defined
sets and equal sets. |
Exams, Quizzes,
Homework, & Comprehensive Final Exam |
# 1, 2, and 3 |
|
Find the subsets and
proper subsets of a given set. |
Exams, Quizzes,
Homework, & Comprehensive Final Exam |
# 1, 2, and 3 |
|
Identify the
universal set and find the complement of a given set. |
Exams, Quizzes,
Homework, & Comprehensive Final Exam |
# 1, 2, and 3 |
|
Find the union,
intersection and difference of two or more sets |
Exams, Quizzes,
Homework, & Comprehensive Final Exam |
# 1, 2, and 3 |
|
Draw Venn diagrams to
show the relationship between two or more sets. |
Exams, Quizzes,
Homework, & Comprehensive Final Exam |
# 1, 2, and 3 |
|
Find the cardinal
number of finite and infinite sets. |
Exams, Quizzes,
Homework, & Comprehensive Final Exam |
# 1, 2, and 3 |
|
Solve word problems. Using Venn Diagrams |
Exams, Quizzes,
Homework, & Comprehensive Final Exam |
# 1, 2, and 3 |
|
Determine if a
sentence is a “statement” and classify statements as simple or compound. |
Exams, Quizzes,
Homework, & Comprehensive Final Exam |
# 1, 2, and 3 |
|
Identify a compound
statement as a conjunction, disjunction, negation or conditional. |
Exams, Quizzes,
Homework, & Comprehensive Final Exam |
# 1, 2, and 3 |
|
Write compound
statements in symbolic form by using letters for each simple statements
|
Exams, Quizzes,
Homework, & Comprehensive Final Exam |
# 1, 2, and 3 |
|
Translate symbolic
statements into verbal statements. |
Exams, Quizzes,
Homework, & Comprehensive Final Exam |
# 1, 2, and 3 |
|
Construct a truth
table for a given compound statement containing up to two variables. |
Exams, Quizzes,
Homework, & Comprehensive Final Exam |
# 1, 2, and 3 |
|
Determine if two
statements are logically equivalent by constructing truth tables. |
Exams, Quizzes,
Homework, & Comprehensive Final Exam |
# 1, 2, and 3 |
|
Determine if an
argument is valid or invalid by using truth tables or Venn diagrams (Euler
diagrams). |
Exams, Quizzes,
Homework, & Comprehensive Final Exam |
# 1, 2, and 3 |
|
Find the probability
of simple events |
Exams, Quizzes,
Homework, & Comprehensive Final Exam |
# 1, 2, and 3 |
|
Find the probability
of compound events |
Exams, Quizzes,
Homework, & Comprehensive Final Exam |
# 1, 2, and 3 |
|
Find the conditional
probability of events |
Exams, Quizzes,
Homework, & Comprehensive Final Exam |
# 1, 2, and 3 |
|
Solve problems in
probability using counting Principles. |
Exams, Quizzes,
Homework, & Comprehensive Final Exam |
# 1, 2, and 3 |
|
Solve probability
problems using permutations and combinations |
Exams, Quizzes,
Homework, & Comprehensive Final Exam |
# 1, 2, and 3 |
|
Represent data in
various forms - frequency distribution, pie charts, bar diagrams,
frequency polygons |
Exams, Quizzes,
Homework, & Comprehensive Final Exam |
# 1, 2, and 3 |
|
Compute mean, median,
and mode for raw data or frequency distribution |
Exams, Quizzes,
Homework, & Comprehensive Final Exam |
# 1, 2, and 3 |
|
Compute the standard
deviation for a given set of data |
Exams, Quizzes,
Homework, & Comprehensive Final Exam |
# 1, 2, and 3 |
|
Analyze and interpret
data using mean and standard deviation . |
Exams, Quizzes,
Homework, & Comprehensive Final Exam |
# 1, 2, and 3 |
|
Solve problems and
find probabilities using the normal distribution |
Exams, Quizzes,
Homework, & Comprehensive Final Exam |
# 1, 2, and 3 |
|
Compute linear
correlation and fit regression lines for given sets of data |
Exams, Quizzes,
Homework, & Comprehensive Final Exam |
# 1, 2, and 3 |
Required
Textbook & Technology Resources:
Text:Angel, A. R., Abbott, C. D. and Runde, D.C.-A Survey of Mathematics with
Applications, Expanded Eight Edition, Addison-Wesley, 2009
MyMathLab with MATH XL (Online Homework Assignment Tool at
www.coursecompass.com);
BLACKBOARD (Lecture Notes, Practice, Quizzes, and Assignments)
Other
Technology Resources
(useful, but not required):
MINITAB, PcCalculator, Excel,
Internet Mathematics-related Links
Student Expectations
Individual
and Group Class Participation; Regular Class Attendance.
Important
Dates:
refund
Topic
Outline:
Chapter 2:
Sets: Set Concepts - Venn Diagrams and set operations - Venn Diagrams with
three sets and verification of set statements - Application of sets - Infinite
sets ( Sections 2.1 to 2.6) (NCDPI 2.1,
3, 5.16 -18)
Chapter 3:
Logic:
Statements and logical connectives - Truth tables for negation, conjunction,
and disjunction - Truth tables for the conditional and biconditional -
Equivalent statements and DeMorgan’s Laws - The Conditional - Symbolic
arguments (Sections 3.1 to 3.6) (NCDPI
2.1 – 3, 5)
Chapter 12:
Probability -
Theoretical
Probability - Odds - Expected Value - Tree diagrams - “or” and “and” problems
- Conditional Probability - The Counting principle and permutations -
Combinations - Solving Probability problems using permutations and
combinations. (Sections 12.1 to 12.11) (NCDPI
4. 3)
Chapter 13:
Statistics -
Sampling
techniques - The misuses of statistics - Frequency Distributions - Statistical
Graphs - Measures of Central Tendency - Measures of Dispersion - The Normal
Curve - Linear Correlation and Regression. (Sections 13.1 – 13.8) (NCDPI
4)
|
Assignment
|
Percentage of
Final Course Grade |
|
Quizzes,
Homework, Attendance, & Participation |
30 % |
|
Tests |
40 % |
|
Comprehensive
Final Examination |
30 % |
|
Total |
100 % |
The
following grading scale will be used. However, grading on a pseudo-curve may
be used, depending on the general performance of students, and other
circumstances, in consideration of fairness, meaningfulness, and validity. In
general, no make-ups for tests and quizzes will be given, unless there is some
proof of extra-ordinary circumstances.
|
90 - 100 |
A |
|
80 - 89 |
B |
|
70 - 79 |
C |
|
60 - 69 |
D |
|
59 or less |
F |
Attendance
Policy:
Students
who miss classes are responsible for subject matter covered, any announcements
made regarding quiz, test or any other relevant matter, during their absence.
More than 3 (if class meets 3 times a week ) or 2 (if class meets 2
times a week ) unexcused absences may result in failure in the course.
You are responsible to find out or know about any announcements or the
subject matter covered, during your absence.
Student
Classroom Decorum Expectations:
To enhance
the learning atmosphere of the classroom, students are expected to dress and
behave in a fashion conducive to learning in the classroom. More specifically,
students will refrain from disruptive classroom behaviors,
e.g. talking to classmates,
disrespectful responses to teacher instructions; swearing; wearing
clothes that impede academic learning, such as, but not limited to,
wearing body-revealing clothing and excessively baggy pants; hats/caps, and/or
headdress . No food or drinks will be allowed inside the classroom or lab.
Students will turn off their cell phones prior to entering the classroom.
Students
who exhibit the behaviors described above, or similar behaviors will be
immediately dismissed from class at the third documented offense. The student
will be readmitted to class only following a decision by the department chair.
The student may appeal the decision of the department chair to the Dean of the
College offering the course, and, subsequently, to the Office of the Vice
President for Academic Affairs, and then to the President of Shaw University.
The decision of the President will be final. Failure to follow the procedures
herein outlined will result in termination of the appeal, and revert to the
decision of the department chair.
Each
behavior construed by the teacher/professor as noncontributive to learning
will be recorded, properly documented, and appropriately reported to the
student and to the chair of the academic department offering the course. The
report will be in written form with a copy provided to both the student and
the department chair. The faculty member should retain a copy for his/her own
records.
Additional
student behavior codes may be found in Student Affairs.