Algebra Course Contents

ALGEBRA

Course Code:                     ALGEBRA/COLALGE

Course Title:                       Algebra/ College Algebra

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Course Description:

                This course is a  a review of Elementary Algebra, algebraic expressions, special products and factoring, rational expressions, functions and relations, linear equations, radicals, quadratic equations, inequalities, variation, progressions and mathematical induction

.Course Objective:

1.       Add, subtract, multiply and divide algebraic expressions.

2.       Apply the properties of exponents to algebraic expressions

3.       Solve linear equations and inequalities

4.       Factor algebraic expressions

5.       Solve quadratic equations by factoring

6.       Graph and manipulate linear equations and inequalities in two variables

7.       Add, subtract, multiply and divide rational expression as well as solve equations containing rational expressions.

The following are the required periodical grade components of this course

                Seatwork/Activities/Homework/Class Participation   -  30%

                Quizes                                                                     -  30%

                Periodical Examination                                             -  40%

                                                                                             --------------

                                                                                                  100%

The following percentage distribution shall be followed

                Prelims                  20%

                Midterm                20%

                Pre finals                20%

                Finals                     40%

                                         ________

                                                100%

PRELIM

A.      A primer on Set Theory

a.       What is Set?

b.      Writing Sets

c.       Null, Singleton and Universal Set

d.      Relationship among sets

e.      Factor determining Sets

f.        Operation on Sets

B.      Equation, Expressions and Variables

a.       Variables

b.      Expressions

c.       Forming Equations and Inequality

C.      Substitution and Solutions

a.       Substitution

b.      Truth Value of an Equation

c.       Properties of Real numbers

d.      Problem Solving

                                                                           i.      Translation from Ordinary Language

                                                                         ii.      Identifying solution

D.      Expressions

a.       Different Kinds of Expressions

                                                                           i.      Monomial Expressions

                                                                         ii.      Polynomial Expressions

                                                                        iii.      Rational Expressions

                                                                       iv.      Radical Expression

b.      Manipulating Expressions

                                                                           i.      Addition and Subtractions

E.       PRELIMINARY EXAMINATION

MIDTERM

                                                                           i.      Properties of Exponent

                                                                         ii.      Multiplication

                                                                        iii.      FOIL METHOD

                                                                       iv.      Division and Exponentiation

A.      Multiplication and Factoring

a.       Multiplication

b.      Factoring

c.       Common Factor

d.      Special Products

e.      Grouping

f.        Binomial Theorem

B.      Division

a.       Long Division

b.      Synthetic Division

C.      MIDTERM EXAMINATION

PRE FINALS

A.      Function and Relations

a.       Relation

b.      Functions

c.       Graphing

B.      Polynomial Expressions

a.       Roots of Polynomial Expressions

b.      Factoring Quadratic Equations

c.       Completing the square

d.      Quadratic Formula

C.      Linear Equations

a.       Equation of a Line

D.      PRE FINALS EXAMINATION

FINALS

A.      Equation and Inequalities

a.       Linear Equations

                                                                           i.      Solving for 2 variable Equations

b.      Radical Equations

c.       Inequalities

B.      Sequence

a.       Basic Concepts

b.      Arithmetic Sequence

c.       Geometric Sequence

C.      Problem  Solving