TI89 QUADRATIC EQUATION SOLVER METHOD

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**INSTITUTION:**Montana State University – Great Falls

**COURSE TITLE:**Introductory Algebra

**COURSE NUMBER:**MATH 103

**NUMBER OF CREDITS:**4 (four) Semester

**INSTRUCTOR:**Becky Johnson

**PHONE & E-MAIL:**(406) 268 – 3707

**WEBSITE:**

**OFFICE & OFFICE HOURS:**R237

Monday, Wednesday, Friday 11:30 a.m. – 12:30 p.m.

Tuesday, Thursday 9:30 a.m. – 10:30 a.m.

or by appointment

**I. COURSE DESCRIPTION:**

Introductory Algebra initiates development in students' ability to organize thought processes and systematically solve problems while preparing students for studies in other courses. Course emphasis includes manipulation of variables, exponential applications, scientific notation, polynomials, factoring trinomials, solving equations, systems of equations and graphing quadratic equations. This course is intended for students who havenot studied algebra but have a firm background in basic mathematics or whowish it as a review.

**II. COURSE MATERIALS:**

**Textbook:**

*Introductory Algebra*, Ninth Edition, MarvinL. Bittinger, Addison Wesley, 2003. ISBN 0-201-74631-X

**Calculator:**A scientific calculator is required. Note that calculators with symbolic manipulators (TI-89, TI-92, etc.) will not be allowed for testing.

**III. COURSE OBJECTIVES:**

Students will demonstrate competency (score at least 73% for the course grade) over the following areas:

1. Manipulating the real numbers and algebraic expressions.

2. Solving equations and inequalities.

3. Graphing equations.

4. Polynomial operations including using exponents and scientific notation.

5. Factoring polynomials.

6. Manipulating rational expressions and solving rational equations.

7. Linear graphs, slope, and applications.

8. Solving systems of equations using substitution and elimination.

9. Manipulating radical expressions and solving radical equations including the Pythagorean theorem.

10. Quadratic equations including solving quadratic equations bycompleting the square and the quadratic formula.

**IV. COURSE OUTLINE:**

**Introduction to Real Numbers and Algebraic Expressions**

Introduction to Algebra

The Real Numbers

Addition of Real Numbers: Applications

Subtraction of Real Numbers: Applications

Multiplication of Real Numbers: Applications

Division of Real Numbers: Applications

Properties of Real Numbers

Simplifying Expressions: Order of Operations

**Solving Equations and Inequalities**

Solving Equations: The Addition Principle

Solving Equations: The Multiplication Principle

Using the Principles Together

Formulas

Applications of Percent

Applications and Problem Solving

Solving Inequalities

Applications and Problem Solving with Inequalities

**• Exam 1****Graphs of Linear Equations**

Graphs and Applications

Graphing Linear Equations

More with Graphing and Intercepts

Slope and Applications

**Graphs, Slope, and Applications**

Slope-Intercept Equation

Graphing Using the Slope and the y-intercept

Parallel and Perpendicular Lines

Graphing Inequalities in Two Variables

**• Exam 2****Systems of Equations**

Systems of Equations in Two Variables

The Substitution Method

The Elimination Method

Applications and Problem Solving

**Polynomials: Operations**

Integers as Exponents

Exponents and Scientific Notation

Introduction to Polynomials

Addition and Subtraction of Polynomials

Multiplication of Polynomials

Special Products

Operations with Polynomials in Several Variables

Division of Polynomials

**• Exam 3****Polynomials: Factoring**

Introduction to Factoring

Factoring Trinomials of the Type x2 + bx + c

Factoring ax2 + bx + c

Factoring Trinomial Squares and Differences of Squares

Factoring: A General Strategy

Solving Quadratic Equations by Factoring

Applications of Quadratic Equations

**Rational Expressions and Equations**

Multiplying and Simplifying Rational Expressions

Division and Reciprocals

Least Common Multiples and Denominators

Adding Rational Expressions

Subtracting Rational Expressions

Solving Rational Equations

Applications Using Rational Equations and Proportions

Complex Rational Expressions

**• Exam 4****Radical Expressions and Equations**

Introduction to Radical Expressions

Multiplying and Simplifying with Radical Expressions

Quotients Involving Radical Expressions

Addition, Subtraction, and More Multiplication

Radical Equations

Applications with Right Triangles

**Quadratic Equations**

Introduction to Quadratic Equations

Solving Quadratic Equations by Completing the Square

The Quadratic Formula

Applications and Problem Solving

• Exam 5

• Optional Final Exam• Exam 5

• Optional Final Exam

V. COURSE EVALUATION:

V. COURSE EVALUATION:

**Suggested Homework:**Suggested homework assignments willbe given for each section that we cover; however, suggested homework willnot be collected nor graded. Students are strongly encouraged to completethese assignments, as a successful grade in the course is unlikely withoutsuggested homework completion.

**Assigned Homework:**Assigned homework will be given for eachsection that we cover. These assignments will be no more than 10 questionsin length. They will be collected and graded. Note that you may continue to re-work a problem until it is solved correctly without lossof points. Homework will be done entirely online, and will accountfor 20% of your final grade.

**Quizzes:**No quizzes will be given in this course.

**Discussions:**There will be weekly online discussions in this course. Participation in these discussions is mandatory and will account for 5% of your final grade.

**Exams:**There will be 5 semester exams and one optional final exam for this course. Exams will be taken in the presence of an approved proctor (see Testing Information) on scheduled exam days. No make-up exams will be given. Your cumulative exam average will comprise 75% of your final grade.

**Final Exam:**The final exam is

*and willbe comprehensive. Your final exam score will replace your lowest semesterexam score. The final exam will be held in-class during the week ofMay 2.*

**optional****VI. GRADING SCALE:**

Course Average | Letter Grade |

93% - 100% | A |

83% - 92% | B |

73% - 82% | C |

65% - 72% | D |

64% and below | F |

**VII. ASSISTANCE:**

In addition to your instructor, Bob Donovan and other mathematics tutors are available free of charge to assist you. These tutors are located in the Learning Center, Room R276. Bob's hours are Monday - Thursday from 9:00 a.m. - 4:00 p.m. or by appointment.

**VIII. DISABILITY SERVICES:**

Students with documented disabilities are entitled to reasonable accommodations in their classes. If you have a disability that may require accommodation, please contact the Disability Services office in Academic Resources asearly as possible in the semester.