# math 10-4 advanced algebra

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Math 10-4 syllabusTRANSCRIPT

Course Title:

ADVANCED ALGEBRA

Date Effective:

2nd

Term AY 2014-2015

Date Revised:

Oct 2014

Prepared by:

Cluster I Committee

Approved by:

LD SABINO Subject Chair

Page 1 of 6

MAPA INSTITUTE OF TECHNOLOGY Department of Mathematics

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

6. 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.

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

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 economically viable research, development, and innovation.

c. 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 Title:

ADVANCED ALGEBRA

Date Effective:

2nd

Term AY 2014-2015

Date Revised:

Oct 2014

Prepared by:

Cluster I Committee

Approved by:

LD SABINO Subject Chair

Page 2 of 6

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. 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.

D D D

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.

D D D

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.

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

Relations, Functions and Graphs

Relations and Functions

Domain and Range

Evaluation of Functions

Operations on Functions

Odd and Even functions

Inverse functions

Guided Learning / Working through

Examples

Assignment 1 (A)

Exercise 1 (Exr)

CO1

2

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

Date Effective:

2nd

Term AY 2014-2015

Date Revised:

Oct 2014

Prepared by:

Cluster I Committee

Approved by:

LD SABINO Subject Chair

Page 3 of 6

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

4

LONG QUIZ 1 (Q1)

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

Cooperative Learning/Group Discussion

Assignment 2 (A2)

Exercise 2 (Exr2)

CO2

5 Systems of Equations and Inequalities

Definition of Terms

Systems of Linear Equations in Two Variables

Systems of Linear Equations in Three Variables

Guided Discovery / Class Discussion

6 Nonlinear Systems of Equations

Applications of Systems of Equations

Inequalities in Two Variables and Systems of Inequalities

Guided Discovery / Class Discussion

7

Linear Programming

Partial Fractions

LONG QUIZ 2 (Q2)

8 Sequences and Series

Definition of terms

Summation Notation

Arithmetic Sequence and Series

Harmonic Sequence

Geometric Sequence and Series

Applications of Sequences and Series

Dyadic Discussion

Guided Discovery / Class Discussion

Assignment 3 (A3)

Exercise 3 (Exr 3)

CO3

9 Factorial of a Number

Dyadic Discussion

Guided Discovery / Class Discussion

Mathematical Induction

Principle of Mathematical Induction

Binomial Theorem

nth

term of Binomial Expansion

Pascals Triangle

10

Permutation and Combination

Fundamental Counting Principle

Permutation

Combination

Guided Discovery / Class Discussion

LONG QUIZ 3 (30% online, 70% written)

PROJECT (Prj)

11

SUMMATIVE ASSESSMENT - FINAL EXAMINATION

FE1 CO1

FE2 CO2

FE3 CO3

10. Opportunities to Develop Lifelong Learning Skill

Course Title:

ADVANCED ALGEBRA

Date Effective:

2nd

Term AY 2014-2015

Date Revised:

Oct 2014

Prepared by:

Cluster I Committee

Approved by:

LD SABINO Subject Chair

Page 4 of 6

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

12. Textbook: College Algebra and Trigonometry, 7

th 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

Assignment 1 A 3.34

16.331

Long Quiz 1 Q 16.67

Exercise 1 Exr 3.33

CO 2

Assignment 2 A2 3.33

16.331 Long Quiz 2 Q2 16.67

Exercise 2 Exr2 3.33

CO 3

Assignment 3 A3 3.33

19.83

Long Quiz 3 on-line Ex 5

Long Quiz 3 written Q3 11.67

Exercise 3 Exr3 3.33

Project Prj 5.0

Summative Assessment: Final Examination

FE1 9

17.50 FE2 8

FE3 8

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

Course Title:

ADVANCED ALGEBRA

Date Effective:

2nd

Term AY 2014-2015

Date Revised:

Oct 2014

Prep

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