**Computer Skills Advisory:**

This course is offered through the Internet only. Students must be computer
literate, motivated, disciplined and have the necessary minimum of 10+ hours to
spend on the computer each week. Distance education with SDCCD Online is a
flexible and convenient opportunity for self-motivated students who have
computer skills and feel they can communicate effectively through reading and
writing. To successfully complete this online course, students should have
skills or feel comfortable in the following areas: navigate in the Web-CT
Browser; use of an equation editor; handling e-mail, including sending e-mail
attachments; basic file management; downloading software; finding information on
the Internet; and completing online forms.

**Course Description:**

This course is designed to strengthen the algebra skills of students seeking
Business or Natural Science degrees who are required to take an applied calculus
course. Topics in the course include the theory of functions; graphing
functions; exponential and logarithmic functions; solving equations involving
algebraic, exponential and logarithmic functions; solving systems of linear
equations; matrix algebra; linear programming; modeling; and applications
problems. Analytical reading and problem solving skills are required for success
in this course

**Student Learning Outcomes:**

Upon** successful **completion of the course the student will be able to:

1. Analyze, graph, and evaluate linear functions related to application
problems in business and the natural sciences.

2. Perform algebraic operations on functions and determine function inverses.

3. Analyze and interpret the relationship between the properties and graphs of
polynomial functions.

4. Determine all the exact zeros of a polynomial by applying root-finding
techniques and theorems.

5. Analyze and interpret the graphs of algebraic functions including square
root, cube root, absolute value, piece-wise defined functions and rational
functions.

6. Solve and graph non-linear inequalities.

7. Analyze and apply rigid and non-rigid transformations to algebraic,
exponential and logarithmic functions.

8. Solve equations involving logarithmic and exponential functions, including
application problems.

9. Perform algebraic operations with matrices.

10. Construct systems of equations from application

**Evaluation:**

A student's grade will be based on multiple measures of performance.

**I.) Assignments:** These will be done on our Web-CT home space. The
assignments will be grouped in the exam module sections.

**II.) Objective tests:** That measures a student's ability to identify and
perform the mathematical concepts outlined in the learning outcomes. (There will
be three exams, lowest one is dropped.)

III.) A **comprehensive final** exam.

The grading scale is:

90 -100 = A, 80 - 89 = B, 70 - 79 = C, 60 - 69 = D, 0 - 59 = F.

Your final course grade will be determined by:

**Assignment score (25%) **will be calculated by adding up your scores,
and dividing by the total number of assignments, the usual arithmetic average
(Highest total average possible is 100 points).

**Exams (25% each exam out of two highest exams)** (each exam is worth 100
points) Highest two scores out of the three monthly exams will be used in the
final grade calculation.

**Final exam score (25%)** (worth 100 points) **You must take the final
in order to receive a grade in the course of A, B, C, or D in course!!!**

**Your formula to calculate your grade is:**

(Homework score)(.25) + + (Monthly exam score) (.25) + (Monthly exam score)
(.25) + (Final exam score)(.25) = Numerical grade

****All graded work will be done and submitted in Web-CT****

**Cheating:**

Since this is an on line class, proctored exams are not possible. If I do find
out you are not doing the work, someone else is doing it for you, you will face
the procedures as outlined by Miramar College, which can include receiving an F
for the assignment and/or exam. Math builds on itself, if you do not build a
strong foundation, you will not succeed in advanced mathematics courses. If you
cheat, you are only going to hurt yourself. Please keep academic honesty as a
priority. Thank-you for your cooperation!

**Attendance:**

Since this is an on line course, taking daily attendance is not possible.
However, in accordance with Miramar attendance policy, I will only monitor
attendance for the first two weeks. If you decide to not finish the class, YOU
must drop yourself before the last drop date!

**Grade of W:**

If you decide not to stay in the class and do not drop yourself by the last day
to drop, then you will** risk** receiving an F. If you do need to drop, email
me, so I will know you need to be dropped before it is too late!!!!!!!!!!!!!!!!
OTHERWISE, once it is beyond the last day to drop, **APRIL 3, 2009,** you
will receive an F!

**CLASS “BUDDY”: **

Get to know your classmates!! This is why I have included discussion boards.

**COURSE DESIGN: **

The course will be divided into Exam Modules.

Each Module will contain:

• lecture material

• references to the textbook pages to read.

• assignments for that particular Module

• the exam review for that particular Module,

• the exam for that particular module

• EACH MODULE MUST BE COMPLETED BY MAY 5^{th} EXCEPT THE FINAL EXAM MODULE BY MAY
21^{st}!!

**The course will progress according to the following
schedule:
**The schedule listed below may be altered, so please keep an eye out for
announcements and emails!!!

**Remember Text section refers to Blitzer’s textbook. More detailed charts are contained in each exam module in the course.**

Topic |
Notes |
Text Section |

Quadratic Equations. | Lesson 6 | 1.5 |

Inequalities | Lesson 7 | 1.7No Absolute Value |

Solving Inequalities | Lesson 7 | 1.7No Absolute Value |

Cartesian Plane | Lesson 9 | 1.1 |

Graphs of Equations | Lesson 9 | 1.1 |

Symmetry of Graphs | Lesson 10 | None for this topic. |

Straight Lines | Lesson 10 | 2.3 |

Parallel and Perpendicular lines | Lesson 11 | 2.4 |

Distance Formula | Lesson 12 | 2.8 |

Equations of Circles | Lesson 12 | 2.8 |

Exam Module one due by Midnight
5/5/09 |
||

Introduction to Functions | Lesson 13 | 2.1 |

Domain and Range | Lesson 13 | 2.1 |

Basic Function Types | Lessons 13 & 14 | 2.5 pgs. 241-242 |

Graphing techniques for Functions | Lesson 14 | 2.5 pgs. 241-242 |

More Graphing Techniques | Lesson 15 | 2.5 rest of section |

Operations on functions including composition | Lesson 15 | 2.6 |

One to One Functions | Lesson 16 | 2.7 |

Inverse Functions | Lesson 16 | 2.7 |

Finding the Inverse | Lesson 16 | 2.7 |

Linear Functions | Lesson 17 | 2.3 again |

Quadratic Functions | Lesson 17 | 3.1 |

Polynomial Functions | Lesson 18 | 3.2 |

Zeros and Multiplicity | Lesson 18 | 3.2 pgs. 318-319 |

Graphing Polynomial Functions | Lesson 18 | 3.2 |

Rational Functions | Lesson 19 | 3.5 |

Vertical Asymptotes | Lesson 19 | 3.5 |

Horizontal Asymptotes | Lesson 19 | 3.5 |

Graphing Rational Functions | Lesson 19 | 3.5 |

Exam Module Two due by Midnight
5/5/09 |
||

Polynomials and the Remainder Theorem | Lesson 20 | 3.3 pgs. 332 - 333 |

Polynomials and the Factor Theorem | Lesson 20 | 3.3 pgs. 333 - 334 |

Rational Roots Theorem | Lesson 20 | 3.4 |

Descartes’ Theorem | Lesson 20 | 3.4 |

Long Division | Lesson 20 | 3.3 pgs. 328 -330 |

Synthetic Division | Lesson 20 | 3.3 pgs.330 - 332 |

Big Example | Lesson 20 | Example 5 pg. 341 |

Exponential Functions | Lesson 21 | 4.1 |

Graphing Exponential Functions | Lesson 21 | 4.1 |

Solving Exponential Equations | Lesson 21 | 4.4 pgs. 434 - 435 |

The Number e | Lesson 21 | 4.1 |

Logarithmic Functions | Lesson 21 | 4.2 |

Graphing Logarithmic Functions | Lesson 21 | 4.2 |

Converting between Exponential and Logarithmic Functions | Lesson 21 | 4.2 pg. 413 |

Like bases cancel property. | Lesson 21 | 4.2 pgs. 413 - 415 |

Properties of Logarithms | Lesson 22 | 4.3 |

Combining Logarithms | Lesson 22 | 4.3 pgs. 428 - 429 |

Expanding Logarithms | Lesson 22 | 4.3 pgs. 427 - 428 |

Change of Base | Lesson 22 | 4.3 pg.430 |

Solving Logarithmic Equations | Lesson 22 | 4.4 pgs. 435 -440 |

Another Example | Lesson 22 | |

Systems of linear Equations | Lesson 4 | 5.1 |

Substitution Method | Lesson 4 | 5.1 pgs. 469 - 470 |

Elimination Method | Lesson 4 | 5.1 pgs. 471 - 475 |

Bigger Systems | Lesson 5 | 5.2 |

Matrices | Lesson 5 | 6.1 |

Determinants 2 X 2 | Notes titled Determinants | 6.5 pgs. 586- 587 |

Bigger | Notes titled Determinants | 6.5 pgs589 – 592 & 594 - 595 |

Crammer’s Rule 2 X 2 | Notes Titled Cramer’s Rule | 6.5 pgs. 587 - 589 |

Crammer’s Rule 3 X 3 | Notes Titled Cramer’s Rule | 6.5 pgs. 592 - 594 |

Exam Module Three due by Midnight
5/5/09 |
||

Final Exam Module due by Midnight
5/21/09 |