## Course Descriptions & Syllabi

Find complete words only
| Areas of Study | Mathematics | MATH105 syllabus

Printer Friendy Version

 COURSE NUMBER: MATH105 COURSE TITLE: Intermediate Algebra DIVISION: Sciences IAI CODE(S): SEMESTER CREDIT HOURS: 3.0 DELIVERY MODE: Multiple sections taught face to face lectureMultiple sections taught face to face cooperative learningMultiple sections taught online

COURSE DESCRIPTION:
A study of the properties of real numbers, the properties of exponents and radicals, the arithmetic of polynomial and rational expressions, linear and quadratic equations and inequalities, systems of linear equations, and an introduction to functions.  Problem-solving skills and critical-thinking skills are emphasized.  Meets 4 hours per week.  3 lecture hours, 1 lab hour.

PREREQUISITES:
Place into MATH105 with approved and documented math placement test scores or by completing MATH101 with a grade of S.

NOTES:

COURSE OBJECTIVES / GOALS:
The student should be able to do the following:
• Be able to learn and apply algebraic processes to problems, and be able to write math in exact symbolic forms.  Students must have the ability to do basic arithmetic by hand. Therefore, calculator usage and other technology is not allowed on quizzes and tests in Math 105  "with the exception of students with disabilities who have an approved accommodation."  Students with a calculator exception will take quizzes and tests in the Assessment Center.
• Use symbols of set notation.
• Evaluate expressions involving real numbers and the operations of addition, subtraction, multiplication, division, and exponentiation.
• Identify the properties of the real number system and use these properties to simplify arithmetic and algebraic expressions.
• Use the rules of exponents to simplify expressions involving integral and rational exponents.
• Use scientific notation in calculating solutions to problems.
• Solve first degree equations and inequalities, including those involving absolute value.
• Solve applications using first degree equations and inequalities.
• Graph linear equations, linear inequalities, and systems of linear equations and inequalities.
• Write equations of lines using point-slope, slope-intercept, and the slope formula.
• Define a function and apply function notation.
• Solve systems of linear equations in two and three variables.
• Factor polynomials using the following methods: Greatest Common Factor, Difference of Two Squares, Difference of Two Cubes, Sum of Two Cubes, Grouping, Perfect Trinominal Square, and trinomials.
• Add, subtract, multiply, and divide rational expressions, and simplify complex fractions.
• Change an exponential expression to its equivalent radical form, simplify a radical expression, apply the four basic operations to radical expressions, and solve equations involving radical and exponential expressions.
• Solve quadratic equations by factoring, the quadratic formula, and the square root property.
• Define complex numbers, apply four fundamental operations over the set of complex numbers, and solve equations with complex roots.
• Optional topics: (as time permits)
• Statistics, Synthetic Division, Graphs of Non-linear Functions, completing the square

The student should obtain a 60% competency as measured by examination to receive a passing grade.  A student who is taking this course as a prerequisite for another math course should receive a 70% competency before taking the succeeding course.

TOPICAL OUTLINE:
Sets - 2%
• Definition of set
• Symbols used in set notation
• Union, intersection, and subset
Real number system - Assigned to student as homework
• Definition of real numbers and subsets of the real numbers
• Basic operations on the set of real numbers
• Properties of the real numbers
• Evaluating expressions using the properties of real numbers<\/li>
Integer exponents - 6%
• Definition of positive, negative, and zero exponents
• Product rule
• Quotient rule
• Power rule
Scientific notation - Assigned to student as homework
• Definition of scientific notation
• Using scientific notation on the calculator
• Problem solving using scientific notation
Linear equations in 1 variable - 7%
• Solving linear equations in one variable using the properties of equality, including those which are identities and those that are inconsistent.
• Solving literal equations
• Solving application problems involving numbers, geometric figures, coins, investment, mixture, and distance
Linear equations in two variables - 10%
• Graphing using slope and y intercept, and by plotting points
• Calculating slope from graph and using slope formula
• Writing equations of lines using slope-intercept form and point-slope form
Functions - 5%
• Definitions of function, domain and range
• Using function notation
Systems of linear equations - 8%
• Solving systems in two variables by graphing
• Solving systems in two variables using substitution
• Solving systems in two and three variables using addition (elimination).
• Solving applications of systems
Linear inequalities in 1 variable - 7%
• Solving inequalities using properties of inequalities
• Solving compound inequalities
• Solving absolute value inequalities using theorems of absolute value
Linear inequalities in 2 variables - 2%
• Graphing linear inequalities
• Solving systems of inequalities by graphing
Polynomial operations - 4%
• Addition and subtractions of polynomials
• Multiplication of polynomials using distributive property
• Multiplication of binomials using "FOIL"
• Division of polynomial by monomial
• Division of polynomial by binomial or trinomial using long division
Factoring polynomials - 15%
• Greatest common factor (distributive property)
• Difference of two squares
• Difference or sum of two cubes
• Trinomial of form ax2 + bx + c
• Grouping polynomial
• Solving polynomial equations using factoring
• Application problems
Rational expressions -15%
• Reducing
• Multiplying and dividing
• Simplifying complex fractions
• Solving equations
• Proportions, variation and other applications
• Definition of rational exponents and equivalent radical form
• Simplification of expressions with rational exponents using product, quotient, and power rules
• Simplification of radicals using product and quotient laws
• Multiplication and division of radicals using product and quotient laws
Complex numbers - 2%
• Definition of complex numbers
• Arithmetic operations with complex numbers
• Solving using factoring, completing the square and quadratic formula
• Application problems

TEXTBOOK / SPECIAL MATERIALS:
• Intermediate Algebra, 9th Edition, by Gustafson/Frisk, ITP Publishing Company, 2008.

EVALUATION:
• Tests - 60%
• Final - 20%
• General Assessment - 20%
• Determination of grade is based on the following:
• A = 90 - 100%
• B = 80 - 89%
• C = 70 - 79%
• D = 60 - 69%

BIBLIOGRAPHY:

REVISION:
Fall 2012

RECORD UPDATED:
2013-01-14 15:23:00