course outline math 221c advanced algebra

Course Outline in Advanced Algebra Course Number : MATH 221C Course Title : Advanced Algebra Course Credit : 3 units, 3 lecture hours/week for 18 weeks Prerequisite : College Algebra Instructor : Herbert John D. Escullar Online Resources : https://plus.google.com/u/0/communities/107986488730398767486 Description This course equips students with their learning capabilities so that their mathematical skills will be developed and utilized in a meaningful context. It aims to strengthen students working knowledge in solving word problems and its applications. Emphasis is placed upon the solution and the application of linear and quadratic equations, polynomials, rational and radical equations and word problems. Content 1. Complex Numbers 1.1. Notation and Terminology 1.2. Properties and Operations 1.3. Powers of i 1.4. Complex Numbers in a+bi Form 2. Equations and Inequalities 2.1. Equations 2.2. Applications of Linear Equations 2.3. Quadratic Equations in One Variable 2.4. Other Equations in One Variable 2.5. Inequalities 2.6. Polynomials and Rational Inequalities 2.7. Equations and Inequalities Involving Absolute Value 3. Graphs and Equations 3.1. Points in a Plane 3.2. Graphs of Equations 3.3. Equations of a Line 3.4. The Parabola 3.5. Translation of Axes 3.6. The Ellipse the Hyperbola, and Conic Sections 4. Functions and their Graphs 4.1. Functions 4.2. Function Notation, Operation on Functions and Types of Functions 4.3. Quadratic Functions 4.4. Graphs of Polynomial Functions 4.5. Graphs of Rational Functions 4.6. Inverse Functions 5. Polynomial Functions and Polynomial Equations 5.1. The Remainder Theorem, The Factor Theorem, and Synthetic Division 5.2. Rational Zeros of Polynomial Functions 5.3. Real Roots of Polynomial Functions 5.4. Complex Zeros of Polynomial Functions 6. Exponential and Logarithmic Functions 6.1. Exponents and the Number e 6.2. Exponential Functions 6.3. Logarithmic Functions 6.4. Properties of Logarithmic Functions 6.5. Exponential and Logarithmic Equations 7. Systems of Equations and Inequalities, and Matrices 7.1. System of Linear Equations in Two Variables 7.2. Systems of Linear Equations in Three Variables 7.3. Systems Involving Quadratic Equations 7.4. Systems of Linear Inequalities and Introduction to Linear Programming 7.5. Solutions of Systems of Linear Equations by Matrices 7.6. Determinants and Cramer's Rule 7.7. Properties of Matrices 7.8. Solution of Linear Systems by Matrix Inverses 8. Progression 8.1. Sequences, Series and Sigma Notation 8.2. Arithmetic Sequences and Series 8.3. Geometric Sequences and Series References Beecher. Algebra and Trigonometry Sullivan. Algebra and Trigonometry Leithold. College Algebra and Trigonometry Grading System Criteria Percentage Major Examination (Midterm/Final) 40% Quizzes / Long Examinations 40% Assignments / Problem Sets 10% Attendance and Class Participation 10% Total 100% Final Grade = (1/3) Midterm Grade + (2/3) Final Term Grade Contact Information Mobile Number : +639463871581 Email : [email protected] page 1 of 1

Upload: herbertjohn24

Post on 27-Dec-2015

5 views

Category:

Documents

3 download

Report

Download

Embed Size (px):

DESCRIPTION

Course Outline Math 221C Advanced Algebra

TRANSCRIPT

Course Outline in Advanced Algebra

Course Number : MATH 221CCourse Title : Advanced AlgebraCourse Credit : 3 units, 3 lecture hours/week for 18 weeksPrerequisite : College Algebra

Instructor : Herbert John D. EscullarOnline Resources : https://plus.google.com/u/0/communities/107986488730398767486

Description

This course equips students with their learning capabilities so that their mathematical skills will be developed and utilized in a meaningful context. It aims to strengthen students working knowledge in solving word problems and its applications. Emphasis is placed upon the solution and the application of linear and quadratic equations, polynomials, rational and radical equations and word problems.

Content

1. Complex Numbers1.1. Notation and Terminology1.2. Properties and Operations1.3. Powers of i 1.4. Complex Numbers in a+bi Form

2. Equations and Inequalities2.1. Equations2.2. Applications of Linear Equations2.3. Quadratic Equations in One Variable2.4. Other Equations in One Variable2.5. Inequalities2.6. Polynomials and Rational Inequalities2.7. Equations and Inequalities Involving Absolute

Value3. Graphs and Equations

3.1. Points in a Plane3.2. Graphs of Equations3.3. Equations of a Line3.4. The Parabola3.5. Translation of Axes3.6. The Ellipse the Hyperbola, and Conic Sections

4. Functions and their Graphs4.1. Functions4.2. Function Notation, Operation on Functions

and Types of Functions4.3. Quadratic Functions4.4. Graphs of Polynomial Functions4.5. Graphs of Rational Functions4.6. Inverse Functions

5. Polynomial Functions and Polynomial Equations5.1. The Remainder Theorem, The Factor

Theorem, and Synthetic Division5.2. Rational Zeros of Polynomial Functions5.3. Real Roots of Polynomial Functions5.4. Complex Zeros of Polynomial Functions

6. Exponential and Logarithmic Functions6.1. Exponents and the Number e6.2. Exponential Functions6.3. Logarithmic Functions6.4. Properties of Logarithmic Functions6.5. Exponential and Logarithmic Equations

7. Systems of Equations and Inequalities, and Matrices7.1. System of Linear Equations in Two Variables7.2. Systems of Linear Equations in Three

Variables7.3. Systems Involving Quadratic Equations7.4. Systems of Linear Inequalities and

Introduction to Linear Programming7.5. Solutions of Systems of Linear Equations by

Matrices7.6. Determinants and Cramer's Rule7.7. Properties of Matrices7.8. Solution of Linear Systems by Matrix Inverses

8. Progression8.1. Sequences, Series and Sigma Notation8.2. Arithmetic Sequences and Series8.3. Geometric Sequences and Series

References

Beecher. Algebra and TrigonometrySullivan. Algebra and Trigonometry

Leithold. College Algebra and Trigonometry

Grading System

Criteria Percentage

Major Examination (Midterm/Final) 40%

Quizzes / Long Examinations 40%