College+Algebra

COURSE SYLLABUS IN MATH 102

Subject Code: **MATHEMATICS 102** Subject Description: **College Algebra** Credit: **Three (3) units** Intended for: **General Education Curriculum**

**DESCRIPTION: ** This course starts with definitions and basic concepts. It includes the basic terms, rules and procedures governing principles in numbers, polynomials, special products and factoring. It also deals with fractions, exponents, and radicals, linear and quadratic equations with their corresponding word problems and inequalities.

**GENERAL OBJECTIVES: ** Apply the skills learned in the solution of problems met in the students’ daily life. **SPECIFIC OBJECTIVES: **  At the end of the semester, the students are expected to:
 * 1) Develop the skills with mastery the fundamental operations on polynomials, fractions, exponents and radicals
 * 2) Solve numerical and worded problems involving linear and quadratic equations.

**COURSE OUTLINE: **

**Chapter I - The Number System (3 hrs) **

**Chapter II - Introduction to College Algebra (9 hrs) ** 2.1. Definition of Algebraic Terms <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 16px; line-height: 24px;">2.2. Fundamental Operations on Polynomials **<span style="font-family: 'Franklin Gothic Book',sans-serif;">Chapter III - Special Products & Factoring (9 hrs) ** <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 12pt;">3.1. Special Products
 * <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 16px; line-height: 24px;">The Product of Two Binomials of the Form (ax+b)(cx+d)
 * <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 12pt;">The Product of Sum & Difference of Two Numbers
 * <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 12pt;">The Square of Binomial

<span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 12pt;">3.2. Factoring
 * <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 16px; line-height: 24px;">Removal of the Common Factor
 * <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 12pt;">Factoring Difference of Two Squares
 * <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 12pt;">Factoring Perfect Square Trinomial
 * <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 12pt;">Factoring Trinomials of the Form x 2 + bx + c
 * <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 12pt;">Factoring Trinomials of the Form ax 2 + bx + c
 * <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 12pt;">Factoring the Sum or Difference of Two Cubes
 * <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 12pt;">Factoring by Grouping
 * <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 12pt;">Factoring the Sum or Difference of Two Like Odd Power

**<span style="font-family: 'Franklin Gothic Book',sans-serif;">Chapter IV - Fractions (6 hrs) ** <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 12pt;">4.1. The Fundamental Principle of Fractions
 * <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 16px; line-height: 24px;">Signs of Fractions
 * <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 12pt;">Reducing Fraction to Lowest Term
 * <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 12pt;">Multiplication of Fractions
 * <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 12pt;">Division of Fractions
 * <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 12pt;">Addition and Subtraction of Fractions
 * <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 12pt;">Complex Fractions

**<span style="font-family: 'Franklin Gothic Book',sans-serif;">Chapter V - Exponents & Radicals (12 hrs) ** <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 12pt;">5.1. Exponents
 * <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 16px; line-height: 24px;">Laws of Exponent

<span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 12pt;">5.2. Radicals & Roots
 * <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 12pt;">Powers with Fractional Exponents
 * <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 12pt;">Properties of Radicals
 * <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 12pt;">Simplifying Radicals
 * <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 12pt;">Fundamental Operations on Radicals

**<span style="font-family: 'Franklin Gothic Book',sans-serif;">Chapter VI - Linear Equations (6 hrs) ** <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 12pt;">6.1. Kinds of Equations <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 16px; line-height: 24px;">6.2. Solutions of Equations <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 16px; line-height: 24px;">6.3. Solutions of Equations Involving One Unknown <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 16px; line-height: 24px;">6.4. Equations Involving Radicals <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 16px; line-height: 24px;">6.5. Linear Equations in Two Unknown <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 16px; line-height: 24px;">6.6. Linear Equations in Three Unknowns <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 16px; line-height: 24px;">6.7. Analytical Solution of System of Linear Equations <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 16px; line-height: 24px;">6.8. Solution of Linear Equation by Elimination and Substitution <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 16px; line-height: 24px;">6.9. Worded Problems on Linear Equations **<span style="font-family: 'Franklin Gothic Book',sans-serif;">Chapter VII - Quadratic Equations (6 hrs) ** <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 16px; line-height: 24px;">7.1 Quadratic Equations in One Unknown <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 16px; line-height: 24px;">7.2 Solutions of Quadratic Equations

**<span style="font-family: 'Franklin Gothic Book',sans-serif;">Chapter VIII - Inequalities (3 hrs) ** <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 12pt;">8.1 Definition  <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 16px; line-height: 24px;">8.2 Properties of Inequalities <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 16px; line-height: 24px;">8.3 Solution of Conditional Inequalities

**<span style="font-family: 'Franklin Gothic Book',sans-serif;">METHODS OF TEACHING ** <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 16px; line-height: 24px;">Classroom discussions, oral participation, seatwork and boardwork will be the primary means of classroom instruction for this course.

**<span style="font-family: 'Franklin Gothic Book',sans-serif;">COURSE REQUIREMENTS **

<span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 16px; line-height: 24px;">Quizzes, unit test, recitation, activities and term examinations shall be among the requirements of this course. The date of submission will be announced by the instructor.

**<span style="font-family: 'Franklin Gothic Book',sans-serif;">CRITERIA FOR GRADING **

<span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 12pt;">The following shall be used as the basis for giving grades. **<span style="font-family: 'Franklin Gothic Book',sans-serif;"> Class Standing 70% ** <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 16px; line-height: 24px;">Quizzes 30% <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 16px; line-height: 24px;">Attendance/Recitation 20% <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 16px; line-height: 24px;">Projects/Assignments 20%

**<span style="font-family: 'Franklin Gothic Book',sans-serif;"> Term Examination __30%__ ** <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 16px; line-height: 24px;">100%

<span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 12pt;">The final grade will be computed based on the 50-50 policy (50% of the Midterm + 50% of the tentative final grade)

**<span style="font-family: 'Franklin Gothic Book',sans-serif;">REFERENCES: **
 * <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 12pt;">Agcaoili, Z. A., (2002). //Simplified college algebra for business, economics and other life sciences.// Valenzuela City: Mutya Publishing House.
 * <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 12pt;">Leongson, J. A. & Ymas, S. E. (2000). //College algebra//. Manila: Feliber Publishing House.
 * <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 12pt;">Wolfram Mathworld (2007). //Algebra.// From http://mathworld.wolfram.com/topics/Algebra.html.
 * <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 12pt;">Wikipedia Foundation, Inc. (2007). Elementary algebra. In //Wikipedia free encyclopedia.// From http://en.wikipedia.org/wiki/Elementary_algebra.
 * <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 12pt;">Any Algebra Book
 * <span style="font-family: 'Franklin Gothic Book',sans-serif; font-size: 12pt;">Any Algebra / Mathematics Websites