INSTITUTE OF TECHNOLOGY & ADVANCED LEARNING
SCHOOL OF LIBERAL ARTS AND SCIENCES
COURSE OUTLINE
ACADEMIC YEAR 2010-2011
COURSE NUMBER
BMAT 160 (Evening, North/Lakeshore)
COURSE NAME
Foundations of Mathematics for Data Management
PROGRAM
CREDIT VALUE
4
PREREQUISITE
FACULTY
NAME
OFFICE PHONE: 416-675-6622
EXT.
EMAIL
OFFICE HOURS: By appointment
APPROVED BY
I.
July 2010
Date
COURSE DESCRIPTION
This course broadens students’ understanding of mathematics as it relates to managing data.
Students will apply methods for organizing and analysing large amounts of information; solve
problems involving probability and statistics; and carry out a culminating investigation that
integrates statistical concepts and skills.
II.
LEARNING OUTCOMES
After completing this course the student will be able to:
1.
Solve problems involving the probability of an event or a combination of events for
discrete sample spaces.
2.
Solve problems involving the application of permutations and combinations to
determine the probability of an event.
3.
Demonstrate an understanding of discrete probability distributions, represent them
numerically, graphically, and algebraically, determine expected values, and solve
related problems from a variety of applications.
II.
4.
Demonstrate an understanding of continuous probability distributions, make
connections to discrete probability distributions, determine standard deviations,
describe key features of the normal distribution, and solve related problems from a
variety of applications.
5.
Demonstrate an understanding of the role of data in statistical studies and the
variability inherent in data, and distinguish different types of data.
6.
Describe the characteristics of a good sample, some sampling techniques, and principles
of primary data collection, and collect and organize data to solve a problem.
7.
Analyse, interpret, and draw conclusions from one-variable data using numerical and
graphical summaries.
8.
Analyse, interpret, and draw conclusions from two-variable data using numerical,
graphical, and algebraic summaries.
9.
Demonstrate an understanding of the applications of data management used by the
media and the advertising industry and in various occupations.
10.
Design and carry out a culminating investigation that requires the integration and
application of the knowledge and skills related to the expectations of this course.
11.
Communicate the findings of a culminating investigation and provide constructive
critiques of the investigations of others.
GENERIC EMPLOYABILITY OUTCOMES
Generic/Employability Skills are broad-based, transferable skills which provide the
foundation for specific program skills essential to a student’s academic and vocational
success. These Skills are comprised of communications, personal, interpersonal, thinking,
mathematics, and computer applications skills. Through the successful completion of this
course, the student will develop the following specific generic skills:

Students are required to apply critical thinking skills in order to solve word problems
in the statistical field.

Students learn to identify the premises and assumptions underlying statistical word
problems presented in this course.

Students learn the analysis of data provided by the professor.

Students learn to organize data using tables, diagrams, graphs and related computer
software.
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IV.
COURSE CONTENT OUTLINE
WEEKS
TOPIC
CHAPTERS
TOOLS FOR DATA MANAGEMENT
1-4




Iterative process
Data management software
Databases
Simulations
1.1, 1.2, 1.3, 1.4
STATISTICS OF ONE VARIABLE





Data analysis with graphs
Sampling techniques
Bias in surveys
Measures of central tendency
Measures of spread
2.1, 2.3, 2.4, 2.5,
2.6
STATISTICS OF TWO VARIABLES




Scatter plots and linear correlation
Linear regression
Cause and effect
Critical analysis
TEST # 1
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3.1, 3.2, 3.4, 3.5
IV.
COURSE CONTENT OUTLINE (CONTINUED)
WEEKS
TOPIC
CHAPTERS
PERMUTATIONS AND ORGANIZED COUNTING




5-8
Organized counting
Factorials and permutations
Pascal’s Triangle
Applying Pascal’s Method
4.1, 4.2, 4.4, 4.5
COMBINATIONS
 Organized counting with Venn Diagrams
 Combinations
 Problem solving with combinations
5.1, 5.2, 5.3
INTRODUCTION TO PROBABILITY





Basic probability concepts
Odds
Probabilities using counting techniques
Dependent and independent events
Mutually exclusive events
6.1, 6.2, 6.3, 6.4, 6.5
TEST # 2
9 - 12
PROBABILITY AND NORMAL DISTRIBUTIONS





Probability and binomial distributions
Continuous probability distributions
Properties of the normal distribution
Normal sampling and modeling
Confidence intervals
TEST # 3
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7.1, 7.2
8.1, 8.2, 8.3, 8.6
V.
REQUIRED TEXT AND OTHER LEARNING MATERIALS
TEXTBOOK:
Canton, Barbara, et al. Mathematics of Data Management.
McGraw-Hill Ryerson Limited, 2002. ISBN 978-007-091-7149.
REQUIRED CALCULATOR:
VI.
CASIO fx-991 MS PLUS.
ADDITIONAL REFERENCES
This course is supported by a Blackboard site. This site contains, at least, a copy of the course
outline, a copy of the course timetable with a weekly schedule of topics and readings, and a
letter from the teacher outlining course objectives and expectations.
The teacher will tell students what other materials he or she plans to post to the class
Blackboard site. Please be sure to access this site regularly.
VII.
CLASS FORMAT
Lecture/Lab
VIII. ATTENDANCE REQUIREMENTS
Students are expected to attend classes on a regular basis and complete all assigned
homework. In this course, an integral part of the learning process occurs in the classroom
through instruction, demonstration of sample problems, asking questions, and practising
solving problems. Students who miss a class will find it difficult to understand and apply the
material covered. Students who miss classes on a regular basis are at risk to fail this course
and may have to repeat the course in the following semester.
IX.
METHOD OF STUDENT EVALUATION
Classes will take the form of lectures with problems relating to current business problems.
There will be three tests and one assignment with the following grade distribution.
Tests will consist of a variety of evaluation techniques. Thirty percent (30%) of the evaluation
will be based upon multiple choice or similar type questions and 70% of the evaluation will
be based upon detailed evaluation. It is recommended that students retain all returned graded
material to the end of the semester.
Test 1
Test 2
Test 3
Quizzes
Project
Total
-
25%
25%
25%
15%
10%
100%
PHOTO I.D. IS REQUIRED TO WRITE ALL TESTS AND EXAMINATIONS.
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X.
MISSED FAILED/SUPPLEMENTAL TESTS, EXAMINATIONS AND PROJECTS
On test and quizzes, statistical calculators are allowed in computations. However, solution
steps must be shown in order to receive full marks for the question. Part marks are given at
the discretion of the instructor if the correct steps are clearly shown even though the answer
may be incorrect.
It is the student's responsibility to notify the professor that he/she will miss a test for
justifiable reasons. Students will be required to provide supporting documentation justifying
the reason for missing the test. Failure to notify the professor prior to the test forfeits the
option of writing a missed test. Failure to write a test will result in a zero mark for that test.
There are no supplemental exams in courses offered by the Liberal Arts and Sciences
Division.
XI.
LATE ASSIGNMENTS
The teacher will outline his or her policy to the students.
Generally, assignments are due at the beginning of the class on the date specified by the
classroom teacher. Late assignments will be penalized 10% per day up to four days after the
due date. Assignments handed in after that time will not be accepted and will
automatically receive a grade of 0%.
XII.
OTHER LEARNING RESOURCES AVAILABLE
MATH CENTRE:
Tutoring and assistance are available in the Math Centre.
North Campus:
Guelph/Humber Building, Room GH203
Lakeshore Campus:
F Cottage, Room F201
Peer tutoring is available through the Counselling Office.
North Campus: Room H217
Lakeshore Campus: Room H201
TEST CENTRE:
North Campus: Room B104
Lakeshore Campus: Room A235
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XIII. STANDARDS
All written work should be clear, concise, and correct. The characteristics of such a
style are outlined on the attached criterion sheet. It is the student’s responsibility to keep
copies of all their work in the course.
XIV. DISCRIMINATION AND HARASSMENT
At Humber College, students, staff and faculty represent the broad spectrum of diversity and
richness that is characteristic of our society. All students and employees have the right to
study, live, and work in an environment that is free from discrimination and harassment. It is
therefore the policy of Humber College that its working, living and learning environments
assert the personal worth and dignity of each individual. In order to achieve this objective,
Humber College will not tolerate any form of discrimination or harassment in its employment,
education, accommodation, or business dealings. Information and assistance are available
from Nancy Simms, Manager, Human Rights & Diversity at (416) 675-6622, extension 4425,
or by email at nancy.simms@humber.ca.
For further information please visit: www.hrs.humber.ca/diversity
XV.
COORDINATORS
NORTH CAMPUS
Mohammad Hussain
All daytime and Continuing Education courses offered by the
Mathematics Department.
Extension: 4380
LAKESHORE CAMPUS
Dianne Krasuski
All daytime and Continuing Education courses offered by the
Mathematics Department.
Extension: 3224
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XVI. SERVICES
a)
Math Centre: The Math Centre, located in GH203 in the Guelph-Humber building at the
North Campus (416-675-6622, ext. 6260) and in F201 at the Lakeshore Campus (416675-6622, ext. 3663), is available Monday to Friday to give students help with Math
outside class time. Students are welcome to drop in for additional instruction, or for help
doing their homework, preparing for tests, and/or practising skills that they have studied
in their math classes. Students whose math skills are weak are encouraged to set up a
regular series of appointments to practise and reinforce the math skills taught in their
classes. The Math Centres are staffed by a Co-ordinator and University of Waterloo coop students who provide free help with all math problems. The Math Centre hours are
posted at the beginning of each semester.
b)
Students with Disabilities Office: Students who require assistance in note- taking or
accommodation on tests should advise the Services for Students with Disabilities Office,
as well as their teacher, at the beginning of the course. The Services for Students with
Disabilities Office is located in B112 at the North Campus (416-675- 6622, ext. 4151)
and in A120 at the Lakeshore Campus (416-675-6622, ext. 3265).
c) Peer Tutoring: A peer tutor is a Humber student who can meet with students for one or
two hours per week to help with the course. For a small administration fee ($10), students
receive eight one-hour tutoring sessions. Apply for a tutor in Room H217 at the North
Campus (416-675-6622, ext. 4616) or in Room H201 at the Lakeshore Campus (416-6756622, ext. 3340).
XVII. ACADEMIC REGULATIONS
Students are responsible for being aware of academic regulations which can be found on the
college website at http://www.humber.ca/content/academic-regulations. Important
information regarding Academic Integrity, course drop dates, and appeal procedures should
be reviewed.
The School of Liberal Arts & Sciences expects all students to maintain a high standard of
academic integrity by submitting original work and clearly documenting material that is
derived from other sources. Failure to do so will be deemed to be academic misconduct as
outlined in the Academic Regulations.
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