College Algebra Jay Abramson Pdf

[Thedore Rosa]

Thecourse presents linear and non-linear algebraic relations and functions, conic sections, exponential and logarithmic functions, matrices and determinants, complex numbers and selected topics from theory of equations, sequences and series, along with basic mathematical concepts and skills that are helpful in College Algebra.

This course can be accessed on the first day of class via Canvas at Log into Canvas using your CanyonsID single sign-on:CanyonsID Username is your COC student email address (Ex: user...@my.canyons.edu)CanyonsID Password is your COC student email passwordPlease visit the Get to Know Your Online Classroom page for help logging into Canvas and for tips on using Canvas and Zoom. Canvas Chat Support is also available 24/7 for any Canvas related issues.

Check out the Online Education website for more information on a variety of topics that can help you be a successful online student such as: exam proctoring, learning styles, computer skills, and tips for student success. If this is your first online course, feel free to take our online learning readiness assessment to assess your skills.

College of the Canyons AAC provides educational services and access for eligible students with documented disabilities who intend to pursue coursework at COC. A variety of programs and services are available which afford eligible students with disabilities the opportunity to participate fully in all aspects of the college programs and activities through appropriate and reasonable accommodations. For more information on their services visit the Academic Accomodation Center website.

The Counseling Department offers appointments online. You can schedule an appointment by visiting the Online Counseling website. Counselors can help you map out a plan to reach your educational goals as well as advise you on course selection and registration.

Often the pressure on our students is very strong, involving academic commitments, relationships, outside jobs and family pressure to name a few. The staff and faculty of College of the Canyons are here to see you succeed academically and care about your emotional and physical health. You can learn more about the broad range of confidential student services, including counseling and mental health services available on campus by visiting the Student Health & Wellness Center in the Student Services Building (across from the bookstore). The phone number is 661-362-3259 that you can call 24/7. You can also e mail for an appointment at StudentHe...@canyons.edu. At the Canyon Country Campus the Health Center will be in the new Student Services Building.

Also, the National Suicide & Crisis Lifeline number is now 988. All students at COC are encouraged to enter that phone number in their cells. You can call it when you, or someone you know, is having thoughts of suicide or is in severe distress.

The College of the Canyons Veterans Resource Center is a department within the Student Services Division at the college, created to help veterans and veteran dependents with applying to College of the Canyons, enrolling in classes, and requesting VA Education or Vocational Benefits. For more information please visit the Veterans Resource Center website, email vete...@canyons.edu or phone (661) 362-3469.

The Library provides live online and in-person research help, access to a full range of e-resources and physical materials that support the curriculum, individual and group study areas, and much more!

Prerequisite and degree relevance: A passing score on the mathematics section of the Texas Higher Education Assessment (THEA) test (or an appropriate assessment test). May not be counted toward a degree in mathematics. Credit for Mathematics 301 may not be earned after a student has received credit for any calculus course with a grade of C- or better.

Course description: Topics include a brief review of elementary algebra; linear, quadratic, exponential, and logarithmic functions; polynomials; systems of linear equations; applications. Usually offered only in the summer session.

Text: Durbin, College Algebra, preliminary third edition, McGraw-Hill College Custom Series, 1993

M 301 is the lowest-level "precalculus" course we offer. It should be an honest college algebra course, that is, not an intermediate algebra course (which is offered by community colleges and some four-year colleges and which is often equivalent to second-year high school algebra.) This syllabus is written for use in summer school (the only time we offer M 301). It assumes 26 lectures.

Prerequisite and degree relevance: Texas Success Initiative (TSI) exemption or a TSI Mathematics Assessment score of 350 or higher. The placement test is not required. It may be used to satisfy Area C requirements for the Bachelor of Arts degree under Plan I or the mathematics requirement for the Bachelor of Arts degree under Plan II.

M 302 is Intended primarily for general liberal arts students seeking knowledge of the nature of mathematics as well as training in mathematical thinking and problem-solving. Mathematics 302 and 303F may not both be counted. A student may not earn credit for Mathematics 302 after having received credit for any calculus course. May not be counted toward a degree in the College of Natural Sciences.

Responsible Parties: Jennifer Austin and Amanda Hager, June 2019

Course Description: Introduction to Mathematics is a terminal course satisfying the University's general education requirement in mathematics. Topics may may be chosen from: Fibonacci numbers, number theory (divisibility, prime numbers, the Fundamental Theorem of Arithmetic, gcd, Euclidean Algorithm, modular arithmetic, special divisibility tests), infinity, geometry (Pythagorean Theorem, Platonic Solids, the fourth dimension, rubber sheet geometry, the Moebius band), chaos and fractals, probability (definition, laws, permutations and combinations), network theory (Euler circuits, traveling salesman problem, bin packing), statistics, game theory, voting paradoxes. Some material is of the instructor's choosing.

Texts: For all Practical Purpose or The Heart of Mathematics, Fourth Edition (preferred)

There is a broad spectrum of students who take M302. Some are quite good at math and may even have had some calculus in high school. These, however, are greatly outnumbered by the students who have weak math skills and poor backgrounds. It is not at all uncommon for the students to exhibit a fear of and dislike for math and most have very low self-confidence about their ability to succeed in a math class. In answer to this, the goal of the course should be to demonstrate that math is not about memorizing formulas, but is rather a process of thinking which is relevant to them on a daily basis. The two recommended books, both are geared toward this type of course. For All Practical Purpose emphasizes applications of math in today's world such as scheduling problems and consumer finance models, for example. The Heart of Mathematics, while dealing with more theoretical topics such as number theory and topology, emphasizes that the problem-solving strategies used to solve mathematical problems are universal and can be applied to solving day-to-day problems. Both texts have proven to be successful at engaging this population of students and giving them a new appreciation of math as well as boosting their self-confidence.

The topics to be covered will depend on the choice of text. Both texts cover probability and statistics and at least 3 weeks of the course should be devoted to this topic. The coverage in For all Practical Purpose is more thorough, especially in the area of statistics. If this is the chosen text, then the syllabus should include chapter 5 and 7. Chapter 6 can be covered lightly, if at all, and chapter 8 should be considered optional. If The Heart of Mathematics is the chosen text, then all of chapter 7 should be covered.

Sample Syllabus for "For All Practical Purpose":

Notes: For all Practical Purposes

Chapter 1 is an introduction to graph theory and is a good chapter for establishing the course as one which is not "formula-based." Chapter 2 and 3 then follow up with some applications of graph theory.

As mentioned above, Chapters 5 and 7 should be covered thoroughly and Chapter 6 lightly. Chapters 9 and 10 introduce the concept of modular arithmetic with applications to error detecting codes cryptography. Students tend to find the arithmetic challenging, but in general, they enjoy the ideas in these chapters.

Chapter 13 on Fair Division is fun to do, however, it is difficult to get the ideas across. Students tend to get lost in the logic and may end up simply memorizing procedures.

Chapter 15, Game Theory, also gives the students a work-out in the area of following a logical argument and again they tend to memorize algorithms for finding good strategies. This chapter does give a chance to revisit expected value and they also appreciate the real-world applications of the "Prisoner's Dilemma" problems.

Chapter 20 deals with compound interest and annuities. The relevance of this material to their lives makes it one of the most widely-appreciated chapter on the part of the students.

Sample syllabus for "The Heart of Mathematics":

Notes: The Heart of Mathematics:

Chapter 1 is excellent for setting the tone of the class and illustrating some problem-solving strategies. The puzzles also tie in with the material from later chapters.

Chapter 2 covers some topics from number theory and gives an appreciation of number theory as an ancient area of mathematics.

Chapter 3, on infinity, is guaranteed to provoke lively discussions as well as controversy.

Chapter 4 contains some nice sections on geometry. The section on the Pythagorean theorem gives the students several examples of geometric proofs. In the section on the Platonic solids, the students are encouraged to build the solids and explore the concept of duality. The section on the fourth dimension gives them the opportunity to experience an abstract idea through the process of generalization. The Moebius Band is a nice, concrete application.

Chapter 5 deals with some ideas from topology. The section on rubber sheet geometry has some fun and surprising results, but the students will probably need a model to convince them that the results are indeed true.

Chapter 6 deals with an introduction to graph theory. The section on the Euler characteristic ties in with chapter 4's section on Platonic Solids.

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