MAPÚA INSTITUTE OF TECHNOLOGY
Department of Mathematics
VISION
Mapua shall be among the best universities in the world.
MISSION
a. The Institute shall provide a learning environment in order for its students to acquire the attributes that will make them globally
competitive.
b. The Institute shall engage in publishable and/or economically viable research, development, and innovation.
c. The Institute shall provide state-of-the-art solutions to problems of industries and communities
PROGRAM EDUCATIONAL OBJECTIVES
a
MISSION
b
c
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Within the five years after graduation, the graduates of the Civil Engineering program
shall have:
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Undertaken, singly or in teams, projects that show ability to solve complex
engineering problems.
Had substantial involvement in projects that take into consideration safety,
health, environmental concerns and the public welfare, partly through
adherence to required codes and laws.
Demonstrated professional success via promotions and/or positions of
increasing responsibility.
Demonstrated life-long learning via progress toward completion of an advanced
degree, professional development/continuing education courses, or industrial
training courses.
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Exhibited professional behavior and attitude in engineering practice.
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Initiated and implemented actions toward the improvement of engineering
practice.
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COURSE SYLLABUS
1.
Course Code: MATH30-5
2.
Course Title:
3.
Pre-requisite: MATH23, MATH23-1
4.
Co-requisite: None
5.
Credit: 3 units
6.
Course Description: The course covers topics in Probability and Counting Rules, Nature of Statistics and
Frequency Distribution, Measures of Central Tendency, Measures of Variation and Position, Normal
Distribution, Confidence Interval, Hypotheses Testing, Testing the Difference, Correlation and Regression,
Chi Square Tests, and Analysis of Variance. It is also designed to provide a working knowledge of
understanding and interpreting statistical results of experimental designs applied to Civil Engineering,
Construction Engineering and Management, Environmental and Sanitary Engineering, and Geological
Engineering.
Course Title:
Probability and Statistics
PROBABILITY AND STATISTICS
Date Effective:
4th Quarter SY
2016-2017
Date Revised:
January 2017
Prepared by:
Approved by:
Cluster IV
LD Sabino
(Subject Chair)
Page 1 of 6
7. Student Outcomes and Relationship to Program Educational Objectives
STUDENT OUTCOMES
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b
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an ability to apply knowledge of mathematics, science, and
engineering
an ability to design and conduct experiments, as well as to
analyze and interpret from data
an ability to design a system, component, or process to meet
desired needs within realistic constraints such as economic,
environmental, social, political, ethical, health and safety,
manufacturability, and sustainability, in accordance with
standards
an ability to function on multidisciplinary teams
an ability to identify, formulate, and solve engineering problems
an understanding of professional and ethical responsibility
an ability to communicate effectively
the broad education necessary to understand the impact of
engineering solutions in the global, economic, environmental and
societal context
a recognition of the need for, and an ability to engage in life-long
learning
a knowledge of contemporary issues
an ability to use the techniques, skills, and modern engineering
tools necessary for engineering practice
Knowledge and understanding of engineering and management
principles as a member and leader in a team, to manage projects
and in multidisciplinary environment
PROGRAM EDUCATIONAL OBJECTIVES
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3
4
5
6
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8. Course Outcomes (COs) and Relationship to Student Outcomes
Course Outcomes
After completing the course, the student must be able to:
a
1. Compute the probability of events; and understand basic
I
concepts and measures of variability in statistics.
2. Understand estimation and test hypotheses concerning
means and proportions.
3. Develop a paper to showcase various statistical tests
learned in the course, and interpret the statistical results of D
experimental designs as applied to the student’s program.
* Level: I- Introduced, R- Reinforced, D- Demonstrated
Course Title:
Probability and Statistics
Date Effective:
4th Quarter SY
2016-2017
Date Revised:
January 2017
b
c
Student Outcomes*
d e f g h i j
k
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Prepared by:
Approved by:
Cluster IV
LD Sabino
(Subject Chair)
I
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Page 2 of 6
l
1.
CO
Course Coverage
WEEK
1
2
1
3
4
5
2
6
7
TOPICS
TLA
Orientation
Chapter 1 – Probability and Counting Rules
1-1 Sample Spaces and Probability
1-2 Addition Rules for Probability
1-3 Multiplication Rules & Conditional Probability
1-4 Counting Rules
1-5 Probability and Counting Rules
Chapter 2 – Nature of Statistics and Frequency
Distribution
2.1 Descriptive and Inferential Statistics
2.2 Types of Data
2.3 Sampling Techniques
2.4 Organizing Data
2.5 Histograms, Frequency Polygons, Ogives
2.6 Other Types of Graphs
Chapter 3 - Measures of Central Tendency
3.1 Mean
3.2 Median
3.3 Mode
3.4 Midrange
3.5 Weighted Mean
Chapter 4 - Measures of Variation and Position
4.1 Range
4.2 Variance
4.3 Standard Deviation
4.4 z- Score
4.5 Percentile
4.6 Decile
4.7 Quartile
QUIZ 1
Chapter 5 – Normal Distribution
5-1 Normal Distributions
5-2 Normal Distribution Properties
5-3 Standard Normal Distribution (Z value)
5-4 Applications of the Normal Distribution
5-5 Checking of Normality.
Chapter 6 – Confidence Intervals
6-1 Confidence Intervals for the Mean when  is known
and sample size
6-2 Confidence Intervals for the Mean when  is
unknown
6-3 Confidence Intervals and Sample Size for Variances
and Standard Deviations
Chapter 7 – Hypotheses Testing
7-1 Steps in Hypothesis Testing
7-2 z Test for a Mean
7-3 Hypothesis Testing – P value method
7-4 t Test for a Mean
7-5 z Test for a Proportion
7-6 x2 Test for a Variance or Standard Deviation
QUIZ 2
Chapter 8 – Testing the Difference
8-1 Testing the Difference Between Two Independent
Means: Using the z Test
8-2 Testing the Difference Between Two Means of
Independent Samples: Using the t Test
8-3 Testing the Difference Between Two Means:
Dependent Samples
Course Title:
Probability and Statistics
Date Effective:
4th Quarter SY
2016-2017
Date Revised:
January 2017
AT
 Classroom
Discussion
 Group
Discussion
 Collaborative
Learning
 On-Line
Assignment’s
 Seatwork’s &
Exercises
 Q1
 Classroom
Discussion
 Group
Discussion
 Differentiated
Learning
 On-Line
Assignment’s
 Seatwork’s &
Exercises
 Q2
Prepared by:
Approved by:
Cluster IV
LD Sabino
(Subject Chair)
Page 3 of 6
3
8
9
10
11
2.
8-4 Testing the Difference Between Proportions
8-5 Testing the Difference Between Two Variances
Chapter 9 – Correlation and Regression
9-1 Scatter Plots and Correlation
 Classroom
9-2 Regression
Discussion
9-3 Coefficient of Determination and Standard Error of the  Group
Estimate
Discussion
9-4 Multiple Regression
 Collaborative
Chapter 10 – Chi Square Tests
Learning using
10-1 Test for Goodness of Fit
MatLab
10-2 Tests Using Contingency Tables
QUIZ 3
Chapter 11 – Analysis of Variance
11-1 One-Way Analysis of Variance
11-2 The Scheffé Test and the Tukey Test
11-3 Two-Way Analysis of Variance
Paper Presentation
Final Exams
 On-Line
Assignment’s
 Seatwork’s &
Exercises
 Q3
 Paper
Presentation
Final Exams
Opportunities to Develop Lifelong Learning Skill
Through the various concepts and applications of statistics and probability, students will develop their
logical thinking through analysis of the problems encountered in these areas of mathematics. Moreover,
students will be introduced to statistical research that will help them realize the usefulness of statistics in their
chosen field of studies.
3.
Contribution of Course to Meeting the Professional Component
Engineering Topics
General Education
Basic Sciences and Mathematics
:
:
:
0%
0%
100%
12.
Textbook: Applied Statistics and Probability for Engineers. Montgomery, Douglas and Runger, George.
John Wiley & Sons (Asia) Pte Ltd© 2014
13.
Course Evaluation
Student performance will be rated based on the following:
Assessment Tasks
Weight
Quiz 1 (Q1)
Seatwork’s (SWCO1)
On-Line Assignments
(CPRCO1)
Quiz 2 (Q2)
CO2
Seatwork’s (SWCO2)
On-Line Assignments
(CPRCO2)
Quiz 3 (Q3)
Seatwork’s (SWCO3)
CO3
On-Line Assignments
(CPRCO3)
Research Paper (RP)
Summative Assessment:
Final Examination (CO1 8%, CO2 8%,
CO3 9%)
TOTAL
15%
3%
4%
CO1
CO 1
Course Title:
Probability and Statistics
Date Effective:
4th Quarter SY
2016-2017
Minimum Average for
Satisfactory
Performance
15.4%
15%
3%
32.
4%
15.4%
15%
3%
4%
21.7%
9%
25%
17.5%
100%
Date Revised:
January 2017
70.0%
Prepared by:
Approved by:
Cluster IV
LD Sabino
(Subject Chair)
Page 4 of 6
The final grade swill correspond to the weighted average scores shown below:
Average
Grade
Average
Grade
100 - 96
1.00
82.99 - 80
2.25
95.99 - 93
1.25
79.99 - 76
2.50
92.99 - 90
1.50
75.99 - 73
2.75
89.99 - 86
1.75
72.99 - 70
3.00
85.99 - 83
2.00
Below 70
5.00
Other Course Policies
a. Attendance
According to CHED policy, total number of absences by the students should not be more than
20% of the total number of meetings or 9 hrs for a three-unit-course. Students incurring more
than 9 hours of unexcused absences automatically gets a failing grade regardless of class
standing.
b. Submission of Assessment Tasks (Student Outputs) should be on time; late submittal of
courseworks will not be accepted.
c. Written Major Examination (Long Quiz and Final Exams) will be administered as scheduled. No
special exam will be given unless with a valid reason subject to approval by the Chairman of the
Mathematics Department.
d. Course Portfolio will be collected at the end of the quarter.
e. Language of Instruction
Lectures, discussion, and documentation will be in English. Written and spoken work may receive
a lower mark if it is, in the opinion of the instructor, deficient in English.
f.
Honor, Dress and Grooming Codes
All of us have been instructed on the Dress and Grooming Codes of the Institute. We have all
committed to obey and sustain these codes. It will be expected in this class that each of us will
honor the commitments that we have made.
For this course the Honor Code is that there will be no plagiarizing on written work and no
cheating on exams. Proper citation must be given to authors whose works were used in the
process of developing instructional materials and learning in this course. If a student is caught
cheating on an exam, he or she will be given zero mark for the exam. If a student is caught
cheating twice, the student will be referred to the Prefect of Student Affairs and be given a failing
grade.
g. Consultation Schedule
Consultation schedules with the Professor are posted outside the faculty room and in the
Department’s web-page (http://math.mapua.edu.ph). It is recommended that the student first set
an appointment to confirm the instructor’s availability.
14.
Other References
14.1
Books
a. Introduction to Probability and Statistics. Mendenhall, Beaver and Beaver. Duxbury press, 1999.
b. Modern Elementary Statistics, 9th ed. Freund and Simon. Prentice Hall International, Inc.,
Singapore, 1997.
c. Probability and Statistics for Engineers and Scientists, 8thEd. Walpole, Myers, Myers and Ye.
Prentice Hall International, Inc., Philippines, 2005.
Course Title:
Probability and Statistics
Date Effective:
4th Quarter SY
2016-2017
Date Revised:
January 2017
Prepared by:
Approved by:
Cluster IV
LD Sabino
(Subject Chair)
Page 5 of 6
d. Probability and Statistics for Engineering Students, Philippine Ed. Scheaffer, Mulekar, McClave.
Brooks/Cole, Cengage Learning Asia Pte. Ltd., 2012
14.2 Websites
http://www.wileyplus.com
15. Course Materials Made Available
Course schedules for lectures and quizzes
Samples of assignment/Problem sets of students
Samples of written examinations of students
End-of-course self-assessment
Samples of Submitted Statistical Papers
16. Committee Members:
Course Cluster Chair
CQI Cluster Chair
Members
Course Title:
Probability and Statistics
: Richard T. Earnhart
: Robert Dadigan
: Santos Joseph
Dan Andrew H. Magcuyao
Date Effective:
4th Quarter SY
2016-2017
Date Revised:
January 2017
Prepared by:
Approved by:
Cluster IV
LD Sabino
(Subject Chair)
Page 6 of 6