# Mathematics II-5

**Prerequisite:** Math 0200 with a grade of C or
better, a required score on the math

assessment test, or equivalent .

**Course Description:** Math 0210 Mathematics II prepares students to take
any math course numbered above

1000. It is a review and continuation of Math 0200 Mathematics I. Topics include
a study of polynomial,

linear, rational, exponential, and logarithmic functions; exponents and radical
expressions; solutions of linear,

quadratic, rational, exponential and radical equations; inequalities and systems
of linear equations and

inequalities; elementary probability and statistics; properties of circles;
solid geometric shapes; area;

volume; and an introduction to trigonometry.

**Instructional Format: **Lecture presentations, dialogue, and discussions
with question and answer sessions.

**Learner Outcomes:** At the conclusion of this course the student should be
able to:

A) Perform basic operations on real and complex numbers .

B) Perform basic operations on polynomial and rational expressions and express
the answer in simplified

form while using proper spelling and grammar.

C) Identify a function and its domain and range.

D) Evaluate expressions involving functional notation.

E) Graph linear functions .

F) Write the equation of a line satisfying given conditions involving ordered
pairs and/or slopes.

G) Solve linear equations, absolute value equations, and rational equations.

H) Solve quadratic equations using factoring, formula, square root method, or
completing the square.

I) Graph a quadratic function, identifying the line of symmetry, vertex , and
x-intercepts.

J) Solve radical equations.

K) Solve a system of linear equations by substitution, elimination, and
graphing.

L) Graph simple exponential functions of the form f(x) = a^{x}.

M) Solve simple exponential equations.

N) Translate applied problems in one-two variables and provide a solution
through algebraic manipulation.

O) Simplify expressions containing radicals or rational exponents.

P) Graph simple cubic and square root functions.

Q) Utilize the Pythagorean Theorem in problem solving.

R) Solve systems of linear inequalities in two variables and solve systems of
linear inequal. By graphing.

S) Solve quadratic and absolute value inequalities.

T) Combine simple functions using composition.

U) Given a simple one-to-one function, find and graph its corresponding inverse
function.

V) Graph simple logarithmic functions and solve simple logarithmic equations.

W) Use a calculator to perform basic operations and find powers, roots, and
logarithmic values.

X) Solve quadratic equations that have complex roots.

Y) Solve problems involving simple probability.

Z) Utilize the properties of the circle and formulas for its circumference and
area in problem solving.

AA) Identify a prism, pyramid, cylinder, cone, and sphere and be able to find
the surface area and

volume of each.

BB) Utilize simple right triangle trigonometry (sine, cosine, and tangent) in
problem solving.

CC) Utilize the properties of special right triangles in problem solving.

DD) Learn how to spell mathematically-related words and other words used in
context.

EE) Learn how to use mathematical symbols and notation correctly and write
complete sentences.

**PLEASE… TURN OFF ALL PHONES and PAGERS DURING CLASS TIME!
**

**MATH 0210.91 [6:30 M,W] Spring’09 Course Content (TENTATIVE - Subject to Change):**

Monday, January 12 | Course Policies, 1.1 The Language of Algebra |

1.2 The Real Numbers, 1.3 Operations with Real Numbers | |

Wednesday, January 14 | 1.4, Simplifying Algebraic Expressions |

(1) | 1.5 Solving Linear Equations Using Properties of Equality |

Monday, January 19 | NO CLASS – DR. MARTIN LUTHER KING, JR. DAY |

1.6 Solving Formulas: Geometry | |

Wednesday, January 21 | 1.7 Using Equations to Solve Problems |

(2) | 1.8 More About Problem Solving, 2.1 The Rectangular Coordinate System |

Monday, January 26 | 2.2 Graphing Linear Equations in Two Variables, 2.3 Rate of Change and Slope |

2.4 Writing Equations of Lines | |

Wednesday, January 28 | 2.5 An Introduction to Functions |

(3) | 2.6 Graphs of Functions, 3.1 Solving Systems of Equations by Graphing |

Monday, February 2 | Unit 1 Segments/Angles within Circles and Unit 2 Lines/Angles rel. to Circles |

BONUS QUIZ on Chapters 1-2 + Units 1 and 2 | |

Wednesday, February 4 | TEST on Chapters 1-2 + Unit 1 and Unit 2 (100 points) |

(4) | 3.2 Solving Systems of Equations Algebraically, 3.3 Problem Solving Using |

Systems of Two Equations | |

Monday, February 9 | 3.4 Solving Systems of Equations in Three Variables |

3.5 Problem Solving Using Systems of Three Equations | |

Wednesday, February 11 | 3.6 Solving Systems of Equations Using Matrices |

(5) | 3.7 Solving Systems of Equations Using Determinants |

Monday, February 16 | NO CLASS – PRESIDENTS’ DAY HOLIDAY |

4.1 Solving Linear Inequalities in One Variable, 4.2 Solving Compound Inequal. | |

Wednesday, February 18 | 4.3 Solving Absolute Value Equations and Inequalities |

(6) | 4.4 Linear Inequalities in Two Variables, 4.5 Systems of Linear Inequalities |

Monday, February 23 | Unit 3 Right Prisms and Cylinders + Unit 4 Pyramids and Cones |

Review of Chap 3-4 and BONUS QUIZ on Chapters 3-4 + Units 3 & 4 | |

Wednesday, February 25 | 5.1 Exponents |

(7) | TEST on Chapters 3-4 + Unit 3 and Unit 4 (100 points) |

Monday, March 2 | 5.2 Scientific Notation, 5.3 Polynomials and Polynomial Functions |

5.4 Multiplying Polynomials | |

Wednesday, March 4 | 5.5 The GCF and Factoring by Grouping |

(8) | 5.6 Factoring Polynomials |

Monday, March 9 | 5.7 The Difference of Two Squares and |

5.7 The Sum and Difference of Two Cubes | |

Wednesday, March 11 | 5.8 Summary of Factoring Techniques, 5.9 Solving Equations by Factoring |

(9) | Unit 5 Spheres and Composite Fig. and Unit 6 Applying Right Triangles |

MATH 0210.91 [6:30 M,W] Spring’09 Course Content (TENTATIVE - Subject to Change): | |

Monday, March 16 | NO CLASS – SPRING BREAK |

Wednesday, March 18 | NO CLASS – SPRING BREAK |

Monday, March 23 | 6.1 Rational Functions and Simplifying Rational Expressions |

6.2 Multiplying and Dividing Rational Expressions | |

Wednesday, March 25 | 6.3 Adding and Subtracting Rational Expressions |

(10) | 6.4 Simplify Complex Fractions |

Monday, March 30 | 6.5 Dividing Polynomials, [OMIT 6.6 Synthetic Division ] |

6.7 Solving Rational Equations, 6.8 Problems Solving Using Rational Equations | |

Wednesday, April 1 | 6.9 Proportion and Variation + Start Unit 7 Trigonometry |

(11) | Unit 7 More Right Triangle Trigonometry SOH -CAH-TOA |

Monday, April 6 | Review of Chap 5-6 OR Bonus Quiz on Chapters 5-6 + Units 5-6 |

7.1 Radical Expressions and Radical Functions, 7.2 Rational Exponents | |

Wednesday, April 8 | 7.3 Simplifying and Combining Radical Expressions, |

7.4 Multiplying and Dividing Radical Expressions + BEGIN FX PREPARATION ! | |

(12) | TEST on Chapters 5-6 + Units 5-6 (100 points) |

Monday, April 13 | 7.5 Solving Radical Equations, 7.6 Geometric Applications of Radicals |

7.7 Complex Numbers | |

Wednesday, April 15 | 8.1 The Square Root Property + Completing the Square |

(13) | 8.2 The Quadratic Formula...THIS IS TO BE MEMORIZED BY EVERYONE! |

8.3 The Discriminant and Equations That Can Be Written In Quadratic Form | |

Monday, April 20 | 8.4 Quadratic Functions and Their Graphs, |

8.5 Quadratic and Other Nonlinear Inequalities | |

Wednesday, April 22 | Review of Chap 7-8 and Unit 7 TEST OR Bonus Quiz on Chapters 7-8 + Unit 7 |

============================> [Note: Last Day to Withdraw is 4/23/09] | |

(14) | 9.1 Algebra and Composition Functions |

Monday, April 27 | 9.2 Inverse Functions |

TEST on Chapters 7-8 + Unit 7 (100 points) | |

Wednesday, April 29 | 9.3 Exponential Functions |

(15) | 9.4 Base-e Exponential Functions |

Monday, May 4 | 9.5 Logarithmic Functions, 9.6 Base-e Logarithmic Functions |

9.7 Properties of Logarithms | |

Wednesday, May 6 | 9.8 Exponential and Logarithmic Equations |

(16) | Bonus Quiz or FINAL EXAM REVIEW CONCEPTS AND SUGGESTIONS |

**Monday, May 11 CUMULATIVE FINAL EXAM (200 POINTS)**

Student Evaluation System:

You will be expected to pre-read the textbook sections prior to class. Every
other odd-numbered exercise

plus any others that may be required to achieve mastery should be completed as
homework. If you choose

to be graded on a P/NC basis (P = 70+%), you need to notify me in writing no
later than our third class

session (January 19th).

**ABSOLUTELY NO MAKEUP** tests will be given unless prearranged.

**ANY CHEATING** will result in a course grade of NC.

Bonus points will awarded on bonus quizzes ONLY during the class in which they
are offered –

**NO MAKE-UP QUIZZES**. Your grade will be based on your test/quiz score performance
using

the percentages as follows:

Participation | 100 points | |

Test on Chapters 1-2 | 100 points | 90% or more => A |

Test on Chapters 3-4 | 100 points | 80 – 89% => B |

Test on Chapters 5-6 | 100 points | 70-79% => C |

Test on Chapters 7-8 | 100 points | 60-69% => D |

FINAL EXAM | 200 points | < 60% => NC |

Total | 700 points | + MANY other points for misc. quizzes, WebAssingn, and projects. |

**Attendance Policy:**

Poor course performance has been linked to poor class attendance. Thus it is of
utmost importance that you

make every effort to attend every class to ensure that you will fully understand
all concepts as they are

explained. It is quite evident that I cannot possibly provide you with quality
instruction if you are not

present.

**Accomodations for Students with Special Needs:**

Anoka Ramsey Community College does not discriminate on the basis of race,
color, national origin, gender,

sexual orientation, religion, age or disability in employment or in the
provision of our services. Within the

first week of class, students with special needs that require accommodations
should contact the Director of

Access Services at (763) 422-3459 to discuss possible support services. Extra
help is available from the

Math Skills and Advising Center in L122 and also from the Academic Support
Center.

**Course Materials:**

Textbooks: Intermediate Algebra 4th Edition by Tussy and Gustafson, 2009 AND

Connecting Geometry, 3rd Edition by Barbara Brown

Optional: Textbook Supplement: Student’s Solution Manual (Optional, but highly
recommended.)

Supplies: A graphing calculator (TI-83+ or TI-84+ or TI-84+ Silver Edition, TI-Nspire

or equivalent), notebook, pencil, paper, 6”-12” ruler , protractor, and graph
paper.

5-PART RECIPE FOR SUCCESS: |
REMEMBER TO USE: |

1] Attend All Classes | (1) Auditory Learning |

2] Take Notes | (2) Visual Learning |

3] Complete the Homework | (3) Kinesthetic Learning |

4] Study for Tests and Quizzes | |

5] Ask Questions Early |

**EFFORT = RESULTS Roger Penske, CE0**

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