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Math Algebra

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MAPÚA INSTITUTE OF TECHNOLOGY
Department of Mathematics

COURSE SYLLABUS

1. Course Code: Math 10-3

2. Course Title: Algebra

3. Pre-requisite: none

4. Co-requisite: none

5. Credit: 3 units

6. Course Description: This course covers discussions on a wide range of topics necessary to meet the demands of college mathematics. The course discussion starts with an introductory set theories then progresses to cover the following topics: the real number system, algebraic expressions, rational expressions, rational exponents and radicals, linear and quadratic equations and their applications, inequalities, and ratio, proportion and variations.

7. Student Outcomes and Relationship to Program Educational Objectives

Student Outcomes Program Educational Objectives 1 2
(a) an ability to apply knowledge of mathematics, science, and engineering



(b) an ability to design and conduct experiments, as well as to analyze and interpret from data √
(c) an ability to design a system, component, or process to meet desired needs √
(d) an ability to function on multidisciplinary teams √ √
(e) an ability to identify, formulate, and solve engineering problems √
(f) an understanding of professional and ethical responsibility √
(g) an ability to communicate effectively √ √
(h) the broad education necessary to understand the impact of engineering solutions in the global and societal context √ √
(i) a recognition of the need for, and an ability to engage in life-long learning √ √
(j) a knowledge of contemporary issues √ √
(k) an ability to use the techniques, skills, and modern engineering tools necessary for engineering practice √ √
(l) knowledge and understanding of engineering and management principles as a member and leader in a team, to manage projects and in multidisciplinary environments √ √

8. Course Outcomes (COs) and Relationship to Student Outcomes Course Outcomes
After completing the course, the student must be able to: Student Outcomes* a b c d e f g h i j k l
1. Discuss and apply comprehensively the concepts on sets and the real number system, and perform operations on algebraic expressions. D D D
2. Apply the fundamental concepts in performing operations on rational expressions, radicals and complex numbers. D D D
3. Solve linear equations and its applications. D D D
4. Solve quadratic equations and inequalities and its applications. D D D * Level: I- Introduced, R- Reinforced, D- Demonstrated

9. Course Coverage
WEEK TOPIC TLA AT COURSE OUTCOME

1

Mission and Vision of Mapua Institute of Technology
Orientation and Introduction to the Course
Discussion on COs, TLAs, and ATs of the course
Overview on student-centered learning and eclectic approaches to be used in the course

Sets and the Real Number System
- Concepts of Set
- Operations on Sets
- Real Number System
- Properties of Real Numbers
Guided Learning /
Working through Examples

Class Produced Reviewer #1A

CO1

2 Polynomials - Integer and Zero Exponents - Operations on Algebraic Expressions
- Special Products Guided Learning / Working through Examples

Class Produced Reviewer #1B

Class Activity # 1

3 - Factoring Polynomial LONG QUIZ 1

4 Rational Expressions
- Concept of Fraction
- Properties of Fractions
- Reduction of Rational Expressions to Lowest Terms
- Operations on Rational Expressions
- Complex Fractions Cooperative Learning/Group Discussion

Class Produced Reviewer #2A

CO2

5
Radicals and Complex Numbers
- Rational Exponents and Radicals
- Properties of Radicals
- Operations on Radicals
- Complex Numbers
- Operations on Complex Numbers
Guided Learning/ Discovery /
Cooperative Learning
Class Produced Reviewer
#2B

Class Activity # 2

6 LONG QUIZ 2 Equations
- Definition of terms
- Properties of Equality
- Equivalent Equations
- Linear Equations in One Variable
- Equations Leading to the Form ax+b=0

Guided Discovery / Class Discussion

Class Produced Reviewer
#3A

CO3

7 - Absolute Value Equations
- Literal Equations - Applications of Linear Equations in One Variable
• Modeling with Equations
• Number and Digit Problems
• Geometric Problems
• Money and Coin Problems
• Investment Problems
• Age Problems
• Mixture Problems

Dyadic Discussion
Guided Discovery / Class Discussion

Class Produced Reviewer #3B

Class Activity # 3

8 • Uniform Motion Problems
• Work Problems
• Clock Problems LONG QUIZ 3 ( 30% online, 70% written) Quadratic Equations in One Variable
- Definition of Terms
- Nature Of Roots of Quadratic Equations
- Solving Quadratic Equations
• Solution by Factoring (The Zero- Product Property)
• Solution by Completing the Square
• Solution by Quadratic Formula

Guided Discovery /
Class Discussion

Class Produced Reviewer #4A

CO4

9

- Equations Leading to Quadratic
- Applications Inequalities
- Symbols of Inequalities
- Kinds of Inequalities
• Absolute/ Conditional Inqualities
- Properties of Inequalities
- Solution Set of an Inequality in One Variable
• Set Notation
• Interval Notation
• Graphical Representation
- Linear and Nonlinear Inequalities

Guided Learning / Working through Examples

Class Produced Reviewer #4B

Class Activity # 4

10 Ratio, Proportion and Variation
- Ratio
• Definition
• Ways of Writing Ratio
• Characteristic s of Ratio
- Proportion
• Definition of Terms
• Solving Proportion
- Variation
• Definition of Terms: Variation, Constant of Proportionality
• Direct Variation, Inverse Variation, Joint Variation, Combined Variation Guided Learning / Working through Examples PROJECT LONG QUIZ 4
11 SUMMATIVE ASSESSMENT
FINAL EXAMINATION CO1, CO2, CO3, CO4

10. Opportunities to Develop Lifelong Learning Skill

To help students understand and apply the mathematical principles of Algebra and provide them with the needed working knowledge of the different mathematical concepts and methods for them to fully understand the relationship of Algebra with the increasingly complex world.

11. Contribution of Course to Meeting the Professional Component

Engineering Topics : 0 %
General Education : 0 %
Basic Sciences and Mathematics : 100%

12. Textbook: College Algebra and Trigonometry, 7th edition Richard N. Aufmann, Vernon C. Barker, Richard D. Nation

13. Course Evaluation

Student performance will be rated based on the following:

Assessment Tasks Weight
(%) Minimum Average for Satisfactory Performance
(%)
CO 1 Long Quiz 1 12.5
12.25
CPR 1 2.5 CA 1 2.5
CO 2 Long Quiz 2 12.5
12.25
CPR 2 2.5 CA 2 2.5
CO 3 Long Quiz 3 (online) 3.75
12.25
Long Quiz 3 (written) 8.75 CPR 3 2.5 CA 3 2.5
CO 4 Long Quiz 4 12.5
12.25
CPR 4 2.5 CA 4 2.5 PROJECT 5.0 3.5
Summative Assessment:
Final Examination
25
17.5
TOTAL 100 70

The final grades will correspond to the weighted average scores shown below: Final Average Final Grade
96 < x < 100 1.00
93 < x < 96 1.25
90 < x < 93 1.50
86 < x < 90 1.75
83 < x < 86 2.00
80 < x < 83 2.25
76 < x < 80 2.50
73 < x < 76 2.75
70 < x < 73 3.00
Below 70 5.00 (Fail)

13.1. 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 hours 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
Submission of students’ work should be on time. Late submittals will not be accepted.

c. Written Examination
Long quizzes and final examination will be as scheduled. No special examination will be given unless for valid reason subject to approval of the Department Chairman.

d. Course Portfolio
Course portfolio will be collected at the end of the term.

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, College Algebra and Trigonometry by Louis Leithold, International Ed., 2001
b. College Algebra and Trigonometry by Matk Dugopolski, 2nd Ed.
c. College Algebra, enhances with Graphing Utilities by Michael Sullivan and Michael Sullivan III, 2nd Ed.
d. College Algebra and Trigonometry by Nax Sobel and Lemer Norbert, 5th Ed., 1998
e. Applied Algebra and Trigonometry by Linda Davis, 3rd Ed., 2003
f. Algebra and Trigonometry by James Stewart, Lothar Redlin and Saleem Watson, 2nd ed, 2007

14.2 Website Enhanced Web Assign Learning Management System

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

16. Committee Members:
Course Cluster Chair: Dionisia M. lanuza CQI Cluster Chair: Floro Deogracis G. Llacuna
Members : Clarinda B. Catan James Alfred M. Escalona Raquel B. Teodoro Teresita L. Zapanta

Mapua Institute of

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