COURSE CODE: ALGEBRA 1COURSE TITLE: COLLEGE ALGEBRACOURSE CREDIT: 3 UNITSPRE-REQUISITES: N/A

Course Description:This course cover real number system, algebraic and rational expression, linear equations, exponents and radicals, quadratic equations and inequalities.

There are many problems which are proved difficult in the arm of arithmetic become far easier to solve when translated into algebra.

Course Objectives:General Objectives:

To gain knowledge and to instill into the minds of the students an appreciation of the values of algebra.

Specific Objectives:1. To trace the development of the real number and identify the properties and fundamental theorems in the set of real numbers.2. To perform the fundamental operations on signed numbers and algebraic expressions.3. To solve equations and inequalities and apply it on word problems.4. To factor polynomials.5. To simplify and perform the fundamentals operations on rational expressions and radicals.

COURSE OUTLINE

TOPICS TIME ALLOTMENT1. The Real Number System

1.1 Basic terms and concepts1.2 Properties of real numbers and inequalities1.3 Operations on signed numbers1.4 Hierarchy of Operations

3 hours

2. Algebraic Expressions2.1 Basic terms and concepts2.2 Evaluation of Algebraic Expressions2.3 Addition and Subtraction of Algebraic expressions2.4 Removal of grouping symbols

6 hours

3. Linear Equations and Word Problems3.1Solving Linear Equations3.2 Word Problems3.2.1 Consecutive integer problems3.2.2 Number problems3.2.3 Age problems

6 hours

3.2.4 Rate problems: Motion3.2.5 Rate problems: Work3.2.6 Mixture problems

4. Multiplication and Division of Algebraic Expressions4.1 Laws on Exponents4.2 Multiplication and Division of Algebraic Expressions

6 hours

MIDTERM EXAMINATION5. Polynomials

5.1 Basic Concepts5.2 Special products

5.2.1 Product of the sum and difference of the same to terms5.2.2 Square of binomials5.2.3 Cube of binomials5.2.4 Square of trinomials5.2.5 Product of a binomials and a trinomials (special case)

5.3 Factoring5.3.1 Common monomial factor5.3.2 Difference of two squares5.3.3 Perfect square trinomials5.3.4 Sum or difference of two cubes5.3.5 Trinomials of the form x2 +bx+c5.3.6 Trinomial of the form ax2+bx+c where a=0

9 hours

6. Quadratic Equations In One Variable6.1 Solving quadratic equations by factoring6.2 Solving quadratic equation by completing the square6.3 Solving quadratic equation using the quadratic formula

9 hours

7. Rational Expressions7.1 Simplifying Rational Expressions7.2 Addition and Subtraction of Rational Expressions7.3 Multiplication and Division of Rational expressions

6 hours

8. Radical Expressions8.1 Simplifying radical expressions8.2 Addition and Subtraction of radical expressions8.3 Multiplication and Division of Radical expressions

6 hours

FINAL EXAMINATION 3 hours

Course Requirements:Workbook (Simplified Exemplified Algebra by Deran and Elanria) notebook and project (if necessary).

Grading System:Assignment/Seatwork (10%)Quizzes (60%)Major Exam (10%)

Final Grade = 40% Midterm grade + 60% Pre-final grade

References:College Algebra by Sergio YmasCollege Algebra by Rees, Sparks and Rees (10th Edition)College Algebra by LeitholdCollege Algebra by Paul Rider (Revised Edition)College Algebra by Barnett, Zeiglof and Byleen (6th Edition)Algebra:A Simplified Approach by: F.M. Capitulo

College Algebra by Adanza and Padua