MAPÚA INSTITUTE OF TECHNOLOGY Department of Mathematics
a. b. c.
VISION Mapua shall be among the best universities in the world. MISSION The Institute shall provide a learning environment in order for its students to acquire the attributes that will make them globally competitive. The Institute shall engage in economically viable research, development, and innovation. The Institute shall provide state-of-the-art solutions to problems of industries. PROGRAM EDUCATIONAL OBJECTIVES (CONSTRUCTION ENGINEERING AND MANAGEMENT, SERVICE ENGINEERING AND MANAGEMENT)
MISSION a
b
C
1.
To enable our graduates to practice as successful engineers and managers for the advancement of society.
2.
To promote professionalism in the engineering and management practice.
COURSE SYLLABUS 1.
Course Code:
MATH10-4
2.
Course Title:
Advanced Algebra
3.
Pre-requisite:
MATH10-3
4.
Co-requisite:
none
5.
Credit:
3 units
Course Description:
This course prepares students for studying higher level algebraic processes. The course discussions starts with functions and relations, polynomial equations, matrices and determinants, systems of linear and non-linear equations and inequalities and its applications, partial fractions, sequences and series, factorial of a number, binomial theorem and its applications, counting principles and mathematical induction.
6.
7.
Student Outcomes and Relationship to Program Educational Objectives Student Outcomes (a) (b) (c) (d) (e) (f) (g) (h) (i) (j) (k) (l)
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 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 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
Course Title:
ADVANCED ALGEBRA
Date Effective:
Date Revised:
2nd Term AY 2014-2015
Oct 2014
Prepared by: Cluster I Committee
Program Educational Objectives 1 2 √ √ √ √ √
√
√
√ √
√
√
√ √
√ √
√
√
√
√
Approved by: Page 1 of 6 LD SABINO Subject Chair
environments
8.
Course Outcomes (COs) and Relationship to Student Outcomes
Course Outcomes After completing the course, the student must be able to: 1. Identify relations and functions, and find its domain and range; evaluate and perform operations on functions; interpret its graphs; and find roots of polynomial functions. 2. Identify types of matrices and evaluate determinants; solve systems of linear and nonlinear equations and inequalities and its applications; and decomposing fractions to sum of partial fractions. 3. Solve application problems involving sequence and series; find specific term of a binomial expansion; and solve problems using the fundamental principles of counting, permutation and combination. * Level: I- Introduced, R- Reinforced, D- Demonstrated
9.
Course Coverage WEEK TOPIC
a
b
Student Outcomes* d e f g h i
c
D
D
D
D
D
D
D
D
D
TLA
AT
j
k
COURSE OUTCOME
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 1
2
Relations, Functions and Graphs Relations and Functions Domain and Range Evaluation of Functions Operations on Functions Odd and Even functions Inverse functions Linear Functions - Slopes of Lines - Equations of Lines General Form Point Slope Form Two point Form Slope Intercept Form Intercept Form Quadratic Functions - Standard Form of Quadratic Function - Maximum and Minimum of Quadratic Function - Vertical and Horizontal Translation Absolute value functions Piecewise defined functions Greatest Integer Functions
Course Title:
ADVANCED ALGEBRA
CO1
Guided Learning / Working through Examples
Assignment 1 (A)
Exercise 1 (Exr)
Date Effective:
Date Revised:
2nd Term AY 2014-2015
Oct 2014
Prepared by: Cluster I Committee
Approved by: Page 2 of 6 LD SABINO Subject Chair
l
3
Polynomial Functions and Equations Remainder Theorem Factor Theorem Zeroes of Polynomials Types of algebraic curves and its functions Properties of graphs - Symmetry - Intercepts - Asymptotes
Guided Learning / Working through Examples
LONG QUIZ 1 (Q1)
4
5
6
7
Matrices and Determinants Introduction to Matrices - Kinds of Matrices Addition/Subtraction of Matrices Scalar and Matrix Multiplication Determinants of 2x2 and 3x3 Matrices - Arrow/Basket Method - Minors and Cofactors Systems of Equations and Inequalities Definition of Terms Systems of Linear Equations in Two Variables Systems of Linear Equations in Three Variables Nonlinear Systems of Equations Applications of Systems of Equations Inequalities in Two Variables and Systems of Inequalities Linear Programming Partial Fractions
Cooperative Learning/Group Discussion Assignment 2 (A2)
Guided Discovery / Class Discussion
Exercise 2 (Exr2) CO2
Guided Discovery / Class Discussion
LONG QUIZ 2 (Q2) 8
9
10
Sequences and Series Definition of terms Summation Notation Arithmetic Sequence and Series Harmonic Sequence Geometric Sequence and Series Applications of Sequences and Series Factorial of a Number Mathematical Induction Principle of Mathematical Induction Binomial Theorem th n term of Binomial Expansion Pascal’s Triangle Permutation and Combination Fundamental Counting Principle Permutation Combination
Dyadic Discussion Guided Discovery / Class Discussion Assignment 3 (A3) CO3 Dyadic Discussion Guided Discovery / Class Discussion
Exercise 3 (Exr 3)
Guided Discovery / Class Discussion
LONG QUIZ 3 (30% online, 70% written) PROJECT (Prj) 11
FE1 FE2 FE3
SUMMATIVE ASSESSMENT - FINAL EXAMINATION
10.
CO1 CO2 CO3
Opportunities to Develop Lifelong Learning Skill
Course Title:
ADVANCED ALGEBRA
Date Effective:
Date Revised:
2nd Term AY 2014-2015
Oct 2014
Prepared by: Cluster I Committee
Approved by: Page 3 of 6 LD SABINO Subject Chair
To help students understand and apply the mathematical principles of Advanced Algebra and provide them with the needed working knowledge of the different mathematical concepts and methods for them to fully understand the relationship of Advanced Algebra with the increasingly complex world.
11.
Contribution of Course to Meeting the Professional Component Engineering Topics General Education Basic Sciences and Mathematics
: :
0% 0% 100%
: th
12.
Textbook: College Algebra and Trigonometry, 7 edition Richard N. Aufmann, Vernon C. Barker, Richard D. Nation
13.
Course Evaluation
Student performance will be rated based on the following: Assessment Tasks Assignment 1
A
3.34
Long Quiz 1
Q
16.67
Exercise 1
Exr
3.33
Assignment 2
A2
3.33
Long Quiz 2
Q2
16.67
Exercise 2
Exr2
3.33
Assignment 3
A3
3.33
Long Quiz 3 on-line
Ex
5
Long Quiz 3 written
Q3
11.67
Exercise 3
Exr3
3.33
Project
Prj
5.0
FE1 FE2 FE3
9 8 8
CO 1
CO 2
CO 3
Weight (%)
Summative Assessment: Final Examination TOTAL
Minimum Average for Satisfactory Performance (%)
16.331
16.331
19.83
17.50
100
70
The final grades will correspond to the weighted average scores shown below: Final Average 96 x < 100 93 x < 96 90 x < 93 86 x < 90 83 x < 86 80 x < 83 76 x < 80 73 x < 76
Course Title:
ADVANCED ALGEBRA
Final Grade 1.00 1.25 1.50 1.75 2.00 2.25 2.50 2.75
Date Effective:
Date Revised:
2nd Term AY 2014-2015
Oct 2014
Prepared by: Cluster I Committee
Approved by: Page 4 of 6 LD SABINO Subject Chair
70 x < 73 Below 70
3.00 5.00 (Fail)
13.1. Other Course Policies
14.
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 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.
Other References 14.1. Books a, College Algebra and Trigonometry by Louis Leithold, International Ed., 2001 nd b. College Algebra and Trigonometry by Matk Dugopolski, 2 Ed. nd c. College Algebra, enhances with Graphing Utilities by Michael Sullivan and Michael Sullivan III, 2 Ed. th d. College Algebra and Trigonometry by Nax Sobel and Lemer Norbert, 5 Ed., 1998 rd e. Applied Algebra and Trigonometry by Linda Davis, 3 Ed., 2003 nd f. Algebra and Trigonometry by James Stewart, Lothar Redlin and Saleem Watson, 2 ed, 2007 14.2
15.
Websites Enhanced Web Assign Learning Management System
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
Course Title:
ADVANCED ALGEBRA
Date Effective:
Date Revised:
2nd Term AY 2014-2015
Oct 2014
Prepared by: Cluster I Committee
Approved by: Page 5 of 6 LD SABINO Subject Chair
16.
Committee Members: Course Cluster Chair : CQI Cluster Chair : Member :
Course Title:
ADVANCED ALGEBRA
Dionisia M. Lanuza Floro Deogracis G. Llacuna Raquel B. Teodoro Teresita L. Zapanta
Date Effective:
Date Revised:
2nd Term AY 2014-2015
Oct 2014
Prepared by: Cluster I Committee
Approved by: Page 6 of 6 LD SABINO Subject Chair
