College Algebra II represents a significant opportunity for students to discover the beauty and practical power of mathematics. Concepts and skills are taught while at the same time a sense of algebra's utility in the real world is imparted. This course provides indepth coverage of college algebra topics that students continuing in mathematics will require. This is the kind of mathematics that students will use the rest of their lives in many fields. MATH 022 is a preparatory course intended to provide mathematical background in algebra with a function/graph emphasis required in calculus courses. Linear, polynomial, rational, exponential and logarithmic functions and their graphs provide necessary models for mathematical applications.
Upon successful completion fo the course, students should be able to:
|1.||Solve various types of basic equations.|
|2.||Solve linear, absolute value, non-linear and rational inequalities.|
|3.||Identify functions from algebraic, graphical, tabular and verbal representations.|
|4.||Use function notation when evaluating functions.|
|5.||Identify domain and range of functions.|
|6.||Graph a piece-wise defined function.|
|7.||Identify properties of graphs such as relative and global extrema, symmetry, increasing, decreasing, even, and odd.|
|8.||Identify graphs of Basic Functions and their properties.|
|9.||Transform the graph of a function.|
|10.||Translate the graph of a circle in standard or general form.|
|11.||Write the equation of a line.|
|12.||Write equations of parallel and perpendicular lines to a given line.|
|13.||Extract information from linear and quadratic models.|
|14.||Translate applications into algebraic models and solve.|
|15.||Perform operations on functions, including composition of functions.|
|16.||Identify one-to-one functions.|
|17.||Identify, analyze and graph the inverse of a function. Find the inverse of a given function.|
|18.||Analyze and graph polynomials functions.|
|19.||Divide a polynomial function by another polynomial function.|
|20.||Apply the Remainder Theorem and Factor Theorem.|
|21.||Graph rational functions.|
|22.||Analyze and graph exponential and logarithmic functions.|
|23.||Solve exponential equations.|
|24.||Solve logarithmic equations.|
|25.||Explain what a logarithm is.|
|26.||Use logarithm properties to simplify an expression.|
|27.||Set up and solve exponential and logarithmic application problems.|
Frequently Asked Questions
What if I have never taken an online course?
This course is taught completely online. You will use Penn State's course management system, ANGEL, to communicate with the professor and your classmates through chat, e-mail, and threaded discussions within ANGEL.
You do not need to come to campus at any time.
However, an online course is not easier than on-campus course. In fact, it takes a lot more self-discipline. You must be willing and able to commit the same amount of time as you would for attending class and studying for a traditional course. You must also be a motivated, organized student who feels confident about reading to learn and who is comfortable working independently.
What are the technical requirements for this course?
To complete this course, you must have the following equipment or capabilities:
- have access to a computer that meets the ANGEL technological requirements.
- be comfortable with navigating the Internet
|1||Extensive review of intermediate algebra topics. The review will include: solving linear equations and inequalities, fundamental concepts associated with quadratic equations, solving equations and inequalities with absolute values and other miscellaneous equations involving rational expressions and radical expressions. An introduction to complex number arithmetic is also included.|
|2||General concepts associated with relations and functions. Topics such as the algebra of functions, function composition and range and domain are studied. The graphical representation of linear and quadratic functions are also presented. The algebraic and graphical representation of circles will also be studied as it pertains to terminology associated with relations in general. Basic graphical transformations are introduced.|
|3||Polynomial and rational functions are studied in detail. In particular, ideas associated with zeros of polynomials, end-behavior, and graph sketching are discussed. The unit includes synthetic division, the remainder theorem, the conjugate root theorem, horizontal and slant (oblique) asymptotes, and vertical asymptotes.|
|4||Exponential and logarithmic functions are studied in detail. Specific skills entail working with the rules of exponents and logarithms and solving exponential and logarithmic equations. Concepts associated with one-to-one functions and the existence of inverses are also studied. Sketching and recognizing the graphical representation of exponential and log functions is included.|
Both algebraic skills and conceptual understanding will be expected and assessed.
Algebraic skills will be primarily developed through work on ALEKS. ALEKS is a web-based tutorial system which provides students with ongoing skills based assessments and tracks progress. The final exam will also entail skills based problems.
Conceptual skills will be incorporated in lectures, reading, and activities. Lectures and activities will be conducted approximately every other week. A typical lecture and/or activity will tie skill based ideas together to provide a larger overview of the topics. Lectures will be done via Elluminate and activities will be based upon discussion board prompts and/or assigned tasks from the text. The final exam will also incorporate questions which relate to the conceptual tasks.
Students will be expected to do:
ALEKS work. Essentially all of the skills based work will be conducted through ALEKS. The ALEKS system will do ongoing assessments of skills based problems and track student progress. ALEKS is a major component of the course and a typical college algebra student will need to plan on 4-6 hours of online work each week (50-60 hours for the course). Skills based points will be earned by measuring mastered objective milestones and skills based ALEKS quizzes.
Text-book reading and Suggested Problems. The text will be primarily used to tie ideas to concepts and skills together. This will be done through assigned readings and suggested problems. Occasionally, a problem may be selected to emphasize a specific skill that ALEKS did not adequately incorporate. Some of the activities will stem from the text. Finally, the text will support the ALEKS work in that explanations within ALEKS will reference specific areas from the text for further reading.
Work through ANGEL. The course management system is ANGEL and most correspondence will be conducted here. Conceptual ideas will be enhanced through activities which may include the ANGEL discussion board where ideas amongst students are discussed. The ANGEL drop box will be used to submit specific activity based assignments. ANGEL quizzes will be used for conceptual based quizzes, the midterm exam and the final exam.
Attend Lectures. Elluminate is the web-conference utility where the virtual classroom resides. This may also be used for more "face-to-face" group correspondence with students.
Required Text, Equipment, Software
- College Algebra, 2nd Edition by John W. Coburn (McGraw-Hill, 2010) pre-packaged with one-semester access to ALEKS
- Wacom Bamboo USB Tablet with Cordless Pen. (This may be purchased from your favorite vendor, for example, Best Buy or the PSU Computer Store)
- Adobe Reader [Download from Adobe]
- Flash Player [Download from Adobe]
- Microsoft Office
- CDF Player (from Wolfram) [Download from Wolfram]
Assessment and Grades
The total number of points for the course will be 1000 points. Students will have an opportunity to earn 200 points in each of the following three areas: 1) Basic Skills (ALEKS work), 2) Conceptual Understanding (Activities and ANGEL quizzes), and 3) the Final Exam (incorporates both basic skills and conceptual understanding). The final grade will be determined by the sum of these three areas. The minimum of the three area scores and the maximum of the three area scores will be incorporated twice and thus each of these two areas will will contribute to 40% of your overall grade as each will be worth 400 points. This rubric emphasizes that all three areas are of utmost importance.
|Conceptual Assessment||Basic Skills||Final Exam (see below)||Minimum of 3 areas||Maximum of 3 areas|
|200 points||200 points||200 points||200 points||200 points|
|4 Activities (5 each)||4 ALEKS Units (40 ea)||1 Proctored Exam (200 points)|
|4 ANGEL Quizzes (20 each)||Final Set (40 points)|
|2 Midterm Exams (50 points)|
|A, A-||90 -100||896-1000|
|B+, B, B-||80 - 89||796 -895|
|C+, C||70 - 79||696 -795|
|D||60 - 69||596 -695|
|F||0 - 59||0 - 595|
The final examination will be available via ANGEL during the last week of class. It will be a proctored exam.
Arranging a Proctor
You will need to secure a proctor in order to take exams in this course. A proctor will not automatically be assigned to you; rather, you must make the necessary contacts to secure a professional who will serve in this capacity.
- Contact a person who meets the qualifications and ask him or her to proctor your exam.
- Student Services must approve your proctor before any exams can be taken. Please see instructions for securing a suitable proctor. While many proctors will serve on a voluntary basis, you are responsible for paying any expenses incurred in retaining a proctor.
- You must complete a Proctor Information Form and submit the completed form with the proctor verification documentation. Note: If your proctor has been previously approved by the World Campus during a prior course within two years, you do not need to obtain verification. World Campus retains proctor information on file for two years.
- If your proctor does not meet the required specifications, Student Services will notify you within 5 to 7 business days.
- You will need to complete an Exam Request Form for each exam. Contact your proctor to confirm the date, time, and location of your exam(s). Complete the form 3 weeks prior to your scheduled exam to allow for processing the request and mailing exams to proctors. If you are located outside the United States, in order to allow adequate time for mailing, please plan to request your exam earlier than 3 weeks prior to the exam week.
- Contact Student Services if you cannot take a scheduled exam.
Students who are unable to complete the course because of illness or emergency may be granted a deferred grade which will allow the student to complete the course within the first six weeks of the following semester. Note that deferred grades are limited to those students who can verify and document a valid reason for not being able to take the final examination.
For more information see DF grade
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[…]A student charged with academic dishonesty will be given oral or written notice of the charge by the instructor. If students believe that they have been falsely accused, they should seek redress through informal discussions with the instructor, the department head, dean or campus executive officer. If the instructor believes that the infraction is sufficiently serious to warrant the referral of the case to Judicial Affairs, or if the instructor will award a final grade of F in the course because of the infraction, the student and instructor will be afforded formal due process procedures.
From Policies and Rules, Student Guide to the University Policy 49-20.
In cases where academic integrity is questioned, requires that the instructor give the student notice of the charge as well as the recommended sanction. Procedures allow the student to accept or contest the charge through discussions with the instructor. Please see the Eberly College of Science Academic Integrity homepage for additional information and procedures.
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