# Coffeyville Community College

#MATH-102

COURSE SYLLABUS

FOR

INTERMEDIATE ALGEBRA

__Marla Larimore__

Instructor

**COURSE NUMBER:** MATH-102 **COURSE TITLE**:
Intermediate Algebra

**CREDIT HOURS:** 3

**INSTRUCTOR:** Marla Larimore

**OFFICE LOCATION:** Upstairs in the Library; 251-7700,
ext. 2086

**OFFICE HOURS:** As posted at the office

**PREREQUISITE(S): **A minimum score of 31 on the
Algebra Test of the COMPASS, or16 on the ACT test, or credit in Introductory
Algebra with a grade

of C or above .

**REQUIRED TEXT**

AND MATERIALS: Intermediate Algebra, Tenth Edition, Lial/Hornsby/McGinnis

**COURSE**

DESCRIPTION: This course is designed to survey the basic topics in algebra
which

will enable the student to enter a course in college algebra.

**EXPECTED LEARNER**

**OUTCOMES: **Upon completion of this course, the student will be able to:

1. Add, subtract, multiply and divide signed numbers.

2. Solve equations and inequalities.

3. Add, subtract, multiply and divide polynomial expressions.

4. Factor polynomial expressions.

5. Simplify and solve rational expressions & equations.

6. Simplify and solve radical expressions & equations.

7. Solve quadratic equations and inequalities.

8. Graph linear & quadratic equations and inequalities.

**LEARNING TASKS**

& ACTIVITIES: Unit I Review of the Real Number System

Unit II Linear Equations , Inequalities, & Applications

Unit III Graphs, Linear Equations, & Functions

Unit IV Systems of Linear Equations

Unit V Exponents, Polynomials, & Polynomial Functions

Unit VI Factoring

Unit VII Rational Expressions & Functions

Unit VIII Roots, Radicals, & Root Functions

Unit IX Quadratic Equations, Inequalities, and Functions

Unit X Inverse, Exponential, & Logarithmic Functions

**ASSESSMENT OF**

OUTCOMES: The semester grade will be determined by tests and homework as

shown in the following table.

90-100% = A

80- 89% = B

70- 79% = C

60- 69% = D

0- 59% = F

**TESTING:** 1. Students demonstrate the required
behavior on written

examinations over the objectives.

2. No "retest" examinations will be given.

**3. Exams are to be taken at the time specified.**

**HOMEWORK: **1. Homework will be assigned to help the
student learn the

objectives.

2. Homework is due at the time specified by the instructor. **Late**

**homework will not be accepted.**

**ATTENDANCE**

POLICY: Students are expected to attend all classes.

**STUDENT**

CONDUCT: 1. Behavior that interferes with the learning process will not be

tolerated.

2.** Dishonest work will result in an F for the course.**

3.** No cell phones or electronic music devices are allowed**

during class time. Calculators are permitted for some

assignments, if they are not cell phones.

**SCHEDULE OF**

ACTIVITIES: Day 1 Pretest/Syllabus

Day 2-3 Basic Concepts & Operations on Real Numbers

Exponents, Roots, & Order of Operations

Properties of Real Numbers

Day 4-7 Linear Equations in One Variable & Formulas

Applications of Linear Equations

Linear Inequalities in One Variable

Set Operations & Compound Inequalities

Absolute Value Equations & Inequalities

Day 8 Test

Day 9-11 Rectangular Coordinate System & Slope of a Line

Linear Equations & Inequalities in Two Variables

Intro to Functions and Variation

Day 12 Test

Day 13-14 Systems of Linear Equations in Two Variables

Systems of Linear Equations in Three Variables

Applications of Systems

Solving Systems by Matrix Methods

Day 15 Test

Day 16-18 Integer Exponents and Scientific Notation

Adding and Subtracting Polynomials

Polynomial Functions

Multiplying and Dividing Polynomials

Day 19 Test

Day 20-22 GCF & Factoring by Grouping

Factoring Trinomials & Special Factoring

Solving Equations by Factoring

Day 23 Test

Day 24-26 Rational Expressions & Multiplying & Dividing

Adding and Subtracting Rational Expressions

Complex Fractions

Equations with Rational Expressions & Graphs

Day 27 Test

Day 28-31 Radical Expressions & Graphs

Rational Exponents & Simplifying Radical Express.

Add, Subtract, Mult., & Divide Radical Expressions

Solving Equations with Radicals

Complex Numbers

Day 32 Test

Day 33-36 The Square Root Property & Completing the Square

The Quadratic Formula & Quadratic Equations

Formulas & Graphs of Quadratic Functions

Parabolas

Quadratic & Rational Inequalities

Day 37 Test

Day 38-39 Inverse Functions, Exponential Functions

Logarithmic Functions, & Properties of Logarithms

Day 40 Final Test

**COMPETENCIES:**

ADD, SUBTRACT, MULTIPLY AND DIVIDE SIGNED NUMBERS

1. Apply the rules of addition , subtraction,
multiplication and division to fractions.

2. Apply the rules of addition, subtraction, multiplication and division to
decimals.

3. Identify natural numbers, whole numbers, integers, rational, and irrational.

4. Apply the rules of addition, subtraction, multiplication and division to
signed numbers.

5. Use the order of operation with real numbers.

6. Identify the use of the commutative, associative, identity, inverse, and
distributive

properties.

SOLVE EQUATIONS AND INEQUALITIES

7. Identify and solve linear equations using properties of
equality.

8. Translate sentences of a word problem into an equation, and then solve the
problem.

9. Solve a given formula or literal equation for a specified variable.

10. Solve problems involving geometric figures, percentages, uniform motion, and
liquid

mixtures.

11. Solve and graph inequalities on a number line.

12. Solve compound inequalities involving and and or statements.

13. Solve equations involving absolute value.

ADD, SUBTRACT, MULTIPLY AND DIVIDE POLYNOMIAL EXPRESSIONS

14. Apply the rules of exponents for any situation.

15. Use zero and negative numbers in exponents.

16. Express numbers in scientific notation.

17. Identify terms and coefficients.

18. Learn the vocabulary for polynomials.

19. Calculate the sum or difference of polynomials.

20. Multiply any polynomial situation.

FACTOR POLYNOMIAL EXPRESSIONS

21. Factor out the greatest common factor.

22. Factor by grouping.

23. Factor any trinomial regardless of the lead coefficient.

24. Factor trinomials by substitution.

25. Identify and factor perfect square trinomials.

26. Factor the difference of two squares.

27. Factor the sum or difference of two cubes.

28. Apply a general strategy to factor polynomials systematically.

29. Solve certain quadratic equations by factoring.

30. Solve applied problems that lead to quadratic equations.

SIMPLIFY AND SOLVE RATIONAL EXPRESSIONS

31. Find the values of a variable for which a rational
expression is undefined.

32. Express rational expressions in lowest terms.

33. Multiply and divide rational expressions.

34. Rewrite rational expressions with the least common denominator.

35. Add and subtract rational expressions regardless of the denominators.

36. Simplify complex fractions.

37. Divide a polynomial by a monomial or by a polynomial with at least two
terms.

38. Divide a polynomial by a polynomial of the form x-b using synthetic
division.

39. Evaluate a polynomial using the remainder theorem.

40. Solve equations involving rational expressions.

41. Solve word problems about distance, work, and variation using rational
expressions.

SIMPLIFY AND SOLVE RADICAL EXPRESSIONS

42. Find square roots and principal square roots.

43. Find principal nth roots.

44. Use exponent properties to simplify expressions with rational exponents.

45. Simplify radical expressions and quotients.

46. Multiply radicals and divide radicals, and simplify where possible.

47. Add and subtract radical expressions.

48. Rationalize denominators.

49. Simplify radical expressions with sums, products, and quotients.

50. Use a conjugate to rationalize a denominator.

51. Solve equations with radicals.

52. Identify extraneous solutions.

SOLVE QUADRATIC EQUATIONS AND INEQUALITIES

53. Express square roots to negative numbers in terms of i.

54. Add, subtract, multiply and divide complex numbers.

55. Solve quadratic equations using the square root property.

56. Solve quadratic equations by completing the square.

57. Solve quadratic equations by using the quadratic formula.

58. Use the discriminant to determine the nature of the solutions of a quadratic
equation.

59. Calculate the sum and product of roots to determine the validity of
solutions.

60. Solve fractional equations and radical equations that lead to quadratic
equations.

61. Solve quadratic inequalities.

GRAPH LINEAR EQUATIONS AND INEQUALITIES

62. Write a solution as an ordered pair.

63. Complete ordered pairs for a given equation.

64. Plot ordered pairs.

65. Find the midpoint and distance between two points.

66. Find x and y intercepts for a line.

67. Graph linear equations.

68. Find and interpret the slope of a line.

69. Use slope to determine the planar relationship of two lines.

70. Write the equation of a line regardless of supplied information.

71. Solve problems involving the equations of parallel and perpendicular lines.

72. Graph linear inequalities.

73. Solve problems involving direct and inverse variation.

**This syllabus is subject to revision with prior
notification to the student by the**

instructor.