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# Course Syllabus for Mathematics II

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) = ax.
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 0210.07 [10:30 MWF] Fall ’09 Course Content (TENTATIVE - Subject to Change):

 Monday, August 24 Course Policies, 1.1 The Language of Algebra 1.2 The Real Numbers, 1.3 Operations with Real Numbers Wednesday, August 26 1.4, Simplifying Algebraic Expressions Friday, August 28 (1) 1.5 Solving Linear Equations Using Properties of Equality Monday, August 31 1.6 Solving Formulas: Geometry Wednesday, September 2 1.7 Using Equations to Solve Problems Friday, September 4 1.8 More About Problem Solving, 2.1 The Rectangular Coordinate System (2) Monday, September 7 NO SCHOOL – LABOR DAY HOLIDAY Wednesday, September 9 2.2 Graphing Linear Equations in Two Variables, 2.3 Rate of Change and Slope 2.4 Writing Equations of Lines, 2.5 An Introduction to Functions Friday, September 11 2.6 Graphs of Functions, 3.1 Solving Systems of Equations by Graphing (3) Monday, September 14 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, September 16 TEST on Chapters 1-2 + Unit 1 and Unit 2 (100 points) Friday, September 18 3.2 Solving Systems of Equations Algebraically, 3.3 Problem Solving Using (4) Systems of Two Equations Monday, September 21 3.4 Solving Systems of Equations in Three Variables 3.5 Problem Solving Using Systems of Three Equations Wednesday, September 23 3.6 Solving Systems of Equations Using Matrices Friday, September 25 3.7 Solving Systems of Equations Using Determinants (5) Monday, September 28 4.1 Solving Linear Inequalities in One Variable, 4.2 Solving Compound Inequal. Wednesday, September 30 4.3 Solving Absolute Value Equations and Inequalities Friday, October 2 4.4 Linear Inequalities in Two Variables, 4.5 Systems of Linear Inequalities (6) Monday, October 5 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, October 7 5.1 Exponents Friday, October 9 TEST on Chapters 3-4 + Unit 3 and Unit 4 (100 points) (7) *Monday, October 12 5.2 Scientific Notation, 5.3 Polynomials and Polynomial Functions 5.4 Multiplying Polynomials *Wednesday, October 14 5.5 The GCF and Factoring by Grouping Friday, October 16 NO CLASS – FACULTY ASSOCIATION DAY (8) Monday, October 19 5.6 Factoring Polynomials, 5.7 The Difference of Two Squares and 5.7 The Sum and Difference of Two Cubes Wednesday, October 21 5.8 Summary of Factoring Techniques, 5.9 Solving Equations by Factoring Friday, October 23 Unit 5 Spheres and Composite Fig. and Unit 6 Applying Right Triangles (9) Monday, October 26 6.1 Rational Functions and Simplifying Rational Expressions 6.2 Multiplying and Dividing Rational Expressions Wednesday, October 28 6.3 Adding and Subtracting Rational Expressions Friday, October 30 6.4 Simplify Complex Fractions (10) Monday, November 2 6.5 Dividing Polynomials, [OMIT 6.6 Synthetic Division] 6.7 Solving Rational Equations, 6.8 Problems Solving Using Rational Equations Wednesday, November 4 6.9 Proportion and Variation + Start Unit 7 Trigonometry Friday, November 6 Unit 7 More Right Triangle Trigonometry SOH-CAH-TOA (11) Monday, November 9 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, November 11 NO CLASS – VETERAN’S DAY Friday, November 13 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, November 16 7.5 Solving Radical Equations, 7.6 Geometric Applications of Radicals 7.7 Complex Numbers Wednesday, November 18 8.1 The Square Root Property + Completing the Square Friday, November 20 8.2 The Quadratic Formula...THIS IS TO BE MEMORIZED BY EVERYONE! (13) 8.3 The Discriminant and Equations That Can Be Written In Quadratic Form Monday, November 23 8.4 Quadratic Functions and Their Graphs, 8.5 Quadratic and Other Nonlinear Inequalities Wednesday, November 25 Review of Chap 7-8 and Unit 7 TEST OR Bonus Quiz on Chapters 7-8 + Unit 7 Friday, November 27 NO CLASS – THANKSGIVING HOLIDAY (14) ============================> [Note: Last Day to Withdraw is 4/23/09] Monday, November 30 9.1 Algebra and Composition Functions, 9.2 Inverse Functions TEST on Chapters 7-8 + Unit 7 (100 points) Wednesday, December 2 9.3 Exponential Functions Friday, December 4 9.4 Base-e Exponential Functions (15) Monday, December 7 9.5 Logarithmic Functions, 9.6 Base-e Logarithmic Functions 9.7 Properties of Logarithms Wednesday, December 9 9.8 Exponential and Logarithmic Equations Friday, December 11 Bonus Quiz or FINAL EXAM REVIEW CONCEPTS AND SUGGESTIONS (16)

Thursday, Dec 17 4:10-6:10 pm CUMULATIVE FINAL EXAM (200 Pts

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 (August 28th).

ABSOLUTELY NO MAKEUP tests will be given unless preparranged.
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 GRADES ARE WEIGHTED: Test on Chapters 1-2 100 points 90% or more => A TESTS/QUIZZES 60% Test on Chapters 3-4 100 points 80 – 89% => B HOMEWORK 35% Test on Chapters 5-6 100 points 70-79% => C PARTICIPATION 5% 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-Nspire (TI-84+ or TI-84+ Silver Edition, 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