# Math 1314: College Algebra

### If you are looking for my online College Algebra course, go here.

The page below applies only to my lecture based in-class course at the Northridge campus.

If you are considering moving on to Calculus or Business Calculus, you can see the ACC course sequence that you need to take to get from College Algebra to that class here.

In order to see if you are really ready for this course, you need to read and work the Placement Handout for College Algebra and work through the Prerequisite Study Sheet for College Algebra on your own and check your answers (they are provided). If you can't answer 35 or more correctly on the Prerequisite Study Sheet, you need to contact me right away so we can discuss your preparation for this course and your placement, preferably before you buy the textbook.

Spring 2016

Synonym: 47765, Section: 024, Northridge 4249
Tuesday / Thursday 12:00 pm - 1:20 pm

MATH 1314 College Algebra -- Objectives

Functions:

•    Use and interpret functional notation.

•    Find the domain of polynomial, rational, radical, exponential, and logarithmic functions.

•    Find a symbolic representation of the sum, difference, product, quotient, and composition of two functions.

•    Evaluate the sum, difference, product, quotient, and composition of two functions at a given value of the respective domain for functions represented symbolically, graphically, and numerically.

•    Find the inverse of a function represented symbolically, graphically, or numerically.

•    Interpret the graphs of functions.

Graphing functions:

•    Sketch the graphs of the following functions: Lines, x2, x3, x1/2, 1/x, 1/x2, |x|, factored polynomials of degree 3 or more, ax, logax, and rigid transformations of these functions.

•    Describe the end behavior of polynomial functions.

•    Approximate the zeros of a function from its graph.

•    Solve an inequality involving a function from its graph.

•    Graph a piece-wise defined function.

•    Solve polynomial, rational, exponential, and logarithmic equations symbolically.

•    Solve equations involving radicals symbolically.

•    Solve equations with rational exponents symbolically.

•    Solve equations with negative exponents symbolically.

•    Solve polynomial and rational inequalities symbolically.

•    Use the Fundamental Theorem of Algebra and the Conjugate Zeros Theorem to find zeros of polynomials of degree three or greater.

•    Find the vertex of a parabola and the center and radius of a circle by completing the square.

•    Find the vertex of a parabola written in standard form by using the formula  h = -b/2a.

•    Convert an exponential equation to logarithmic form, and a logarithmic equation to exponential form.

•    Evaluate exponential and logarithmic functions using the change of base formula and a calculator.

•    Use the properties of logarithms to expand a logarithmic expression, and to write an expanded logarithmic expression as a single logarithm.

•    Solve a system of linear equations using Gaussian elimination.

•    Solve a system of linear equations using matrix inversion or Cramers Rule.

Applications

•    Recognize and use applications of linear functions.

•    Recognize and use applications of quadratic functions, including falling object problems and extremea problems.

•    Recognize and use applications of exponential and logarithmic functions, including exponential growth and decay, doubling time, and half-life problems.

•    Recognize and use applications of systems of linear equations.

Learning Outcomes

Upon successful completion of this course, students will be able to do at least 70% of the following:

1.   Demonstrate understanding and knowledge of properties of functions, which include domain and range, operations, compositions, and inverses.

2.   Recognize and apply polynomial, rational, exponential, and logarithmic functions and solve related equations.

3.   Apply graphical, symbolic and numeric techniques.

4.   Evaluate all roots of higher degree polynomial and rational functions.

5.   Recognize, solve and apply systems of linear equations using matrices.

The General Education Competency of:

1.    Critical Thinking: gathering, analyzing, synthesizing, evaluating and applying information is covered in every SLO.

2.    Quantitative and Empirical Reasoning: applying mathematical, logical, and scientific principles and methods is covered in every SLO.

3.    Technology Skills: using appropriate technology to retrieve, manage, analyze, and present information is covered in SLOs # 1, 2, 3, 4, and 5.

4.    Written, Oral and Visual Communication: communicating effectively adapting to purpose, structure, audience and medium is covered in every SLO.

ACC College Policies

Statement on Scholastic Dishonesty - A student attending ACC assumes responsibility for conduct compatible with the mission of the college as an educational institution.  Students have the responsibility to submit coursework that is the result of their own thought, research, or self-expression.  Students must follow all instructions given by faculty or designated college representatives when taking examinations, placement assessments, tests, quizzes, and evaluations.  Actions constituting scholastic dishonesty include, but are not limited to, plagiarism, cheating, fabrication, collusion, and falsifying documents.    Penalties for scholastic dishonesty will depend upon the nature of the violation and may range from lowering a grade on one assignment to an Fin the course and/or expulsion from the college.  See the Student Standards of Conduct and Disciplinary Process and other policies at http://www.austincc.edu/current/needtoknow

Student Rights and Responsibilities - Students at the college have the rights accorded by the U.S. Constitution to freedom of speech, peaceful assembly, petition, and association. These rights carry with them the responsibility to accord the same rights to others in the college community and not to interfere with or disrupt the educational process. Opportunity for students to examine and question pertinent data and assumptions of a given discipline, guided by the evidence of scholarly research, is appropriate in a learning environment. This concept is accompanied by an equally demanding concept of responsibility on the part of the student. As willing partners in learning, students must comply with college rules and procedures.

Statement on Students with Disabilities - Each ACC campus offers support services for students with documented disabilities. Students with disabilities who need classroom, academic or other accommodations must request them through Student Accessibility Services (SAS, formerly OSD).  Students are encouraged to request accommodations when they register for courses or at least three weeks before the start of the semester, otherwise the provision of accommodations may be delayed.

Students who have received approval for accommodations from SAS for this course must provide the instructor with the Notice of Approved Accommodationsfrom SAS before accommodations will be provided.  Arrangements for academic accommodations can only be made after the instructor receives the Notice of Approved Accommodationsfrom the student.

Students with approved accommodations are encouraged to submit the Notice of Approved Accommodationsto the instructor at the beginning of the semester because a reasonable amount of time may be needed to prepare and arrange for the accommodations.  Additional information about Student Accessibility Services is available at  HYPERLINK "http://www.austincc.edu/support/osd/" http://www.austincc.edu/support/osd/

Safety Statement - Austin Community College is committed to providing a safe and healthy environment for study and work. You are expected to learn and comply with ACC environmental, health and safety procedures and agree to follow ACC safety policies. Additional information on these can be found at http://www.austincc.edu/ehs. Because some health and safety circumstances are beyond our control, we ask that you become familiar with the Emergency Procedures poster and Campus Safety Plan map in each classroom. Additional information about emergency procedures and how to sign up for ACC Emergency Alerts to be notified in the event of a serious emergency can be found at http://www.austincc.edu/emergency/.

Please note, you are expected to conduct yourself professionally with respect and courtesy to all. Anyone who thoughtlessly or intentionally jeopardizes the health or safety of another individual will be dismissed from the days activity, may be withdrawn from the class, and/or barred from attending future activities.

You are expected to conduct yourself professionally with respect and courtesy to all. Anyone who thoughtlessly or intentionally jeopardizes the health or safety of another individual will be immediately dismissed from the days activity, may be withdrawn from the class, and/or barred from attending future activities.

Use of ACC email - All College e-mail communication to students will be sent solely to the students ACCmail account, with the expectation that such communications will be read in a timely fashion. ACC will send important information and will notify you of any college related emergencies using this account.  Students should only expect to receive email communication from their instructor using this account.  Likewise, students should use their ACCmail account when communicating with instructors and staff.  Instructions for activating an ACCmail account can be found at http://www.austincc.edu/accmail/index.php.

Testing Center Policy - Under certain circumstances, an instructor may have students take an examination in a testing center.  Students using the Academic Testing Center must govern themselves according to the Student Guide for Use of ACC Testing Centers and should read the entire guide before going to take the exam.  To request an exam, one must have:

Course Abbreviation (e.g., ENGL)

Course Number (e.g.,1301)

Course Synonym (e.g., 10123)

Course Section (e.g., 005)

Instructor's Name

Do NOT bring cell phones to the Testing Center.  Having your cell phone in the testing room, regardless of whether it is on or off, will revoke your testing privileges for the remainder of the semester.  ACC Testing Center policies can be found at http://www.austincc.edu/testctr/

Student And Instructional Services - ACC strives to provide exemplary support to its students and offers a broad variety of opportunities and services.  Information on these services and support systems is available at http://www.austincc.edu/s4/ Links to many student services and other information can be found at: http://www.austincc.edu/current/ For help setting up your ACCeID, ACC Gmail, or ACC Blackboard, see a Learning Lab Technician at any ACC Learning Lab.

Course Outline and Approximate Calendar:
Please note:  schedule changes may occur during the semester.
Any changes will be announced in class.

 Week Dates Section Online Homework (* - optional problems) Written Homework 1 1/19 Chapter 1 Skills Check 1.2 - Visualizing and Graphing Data Chapter 1 Skills Review HW and Chapter 1 section 2 21, 43, 49, 55, 60, 66, 73, 77, 85, 87 1/21 1.3 - Functions and Their Representations Chapter 1 section 3 19, 23, 25, 27, 32, 43, 45, 47, 50, 61, 70, 83, 87, 89 1.4 - Types of Functions and Their Rates of Change Slope and graphing review and Chapter 1 section 4 17, 19, 21, 27, 29, 37, 40, 53, 69, 71, 73, 81, 85*, 86*, 97, 107, 111 Quiz 1 (1.2-1.4) 2 1/26 5.1 - Combining Functions Chapter 5 section 1 9, 13, 23, 39, 41, 61, 65, 72, 73, 75, 77, 97 5.2 - Inverse Functions and Their Representations Chapter 5 section 2 7, 14, 29, 39, 41, 45, 56, 71, 77, 81, 85, 87, 93, 95, 101,121 Quiz 5-A (5.1-5.2) 1/28 Chapter 2 Skills Check 2.1 - Equations of Lines Chapter 2 Skills Review HW and Equations of lines review and Chapter 2 section 1 3, 11, 15, 19, 25, 34, 37, 38, 40, 42, 50, 53, 63, 67, 69, 73, 77, 79 2.2 - Linear Equations Linear equation review and Chapter 2 section 2 11, 15, 47, 65, 81, 87, 97, 101, 103 3 2/2 2.3 - Linear Inequalitites Chapter 2 section 3 21, 35, 47, 57, 61, 75*, 79, 86, 87, 93, 100* Quiz 2-A (2.1-2.3) 2/4 2.4 - More Modeling with Functions Chapter 2 section 4 9, 11, 13, 27, 43, 47, 59 4 2/9 2.5 - Absolute Value Equations and Inequalities Chapter 2 section 5 7, 9, 13, 15, 16, 17, 28, 53, 65, 75, 79 2/11 Quiz 2-B (2.4-2.5) Review for Test 1: Ch 1 review: 11, 13, 14, 17, 19, 22-24, 25-31 odd, 37-40, 43-46, 50, 51, 53, 60-62, 67, 68-72 Ch 2 review: 1-21 odd, 31, 39-49 odd Ch 5 review: 1-8, 9-19 odd, 20-25, 29 Test 1: February 11 - 15 (Covers through section 2.5) 5 2/16 Chapter 3 Skills Check 3.1 - Quadratic Functions and Models Chapter 3 Skills Review HW and Factoring review and Chapter 3 section 1 19, 25, 37, 39, 47, 51, 55, 59, 61, 63, 79, 83, 85, 86, 88, 95 3.2 - Quadratic Equations and Problem Solving Quadratic equation review and Chapter 3 section 2 9, 15, 19, 25, 39, 45*, 49, 55, 61, 63, 68, 71, 89, 104, 114 2/18 3.3 - Complex Numbers Chapter 3 section 3 3, 5, 7, 27, 33, 37, 43, 45, 47, 57, 61, 62, 63, 66, 75, 84, 89, 93 Quiz 3-A (3.1-3.3) 6 2/23 3.4 - Quadratic Inequalities Chapter 3 section 4 3, 7, 9, 11, 29, 31, 43, 47, 49, 51, 55, 61, 65, 67 2/25 3.5 - Transformations of Graphs Chapter 3 section 5 1, 3, 5, 7, 9, 11, 13, 31, 33, 47, 51, 65, 71, 73, 75, 80, 93, 95 Quiz 3-B (3.4-3.5) Chapter 4 Skills Check 7 3/1 4.1 - More Nonlinear Functions and Their Graphs Chapter 4 Skills Review HW and Chapter 4 section 1 5, 7, 9, 15, 25, 31, 35, 47, 69, 81, 85, 95* 4.2 - Polynomial Functions and Models Chapter 4 section 2 8, 15, 16, 25, 31, 41, 45, 55, 67, 77, 85 3/3 4.3 - Division of Polynomials Chapter 4 section 3 15, 21, 29, 32, 41, 46, 51 Quiz 4-A (4.1-4.3) Review for Test 2: Ch 3 review: 1-7, 9, 11-15, 21, 27, 29, 31, 32, 35, 36, 37-43 odd, 44, 45, 47, 48, 50, 51, 53, 54 Checking Basic Concepts for 4.1-4.2 (p. 259): 1-3 Ch 4 review: 1, 3, 5-8, 11-17, 19, 21, 23-28 plus anything from earlier tests. Test 2: March 3 - 8 (Covers through 4.3) 8 3/8 4.4 - Real Zeros of Polynomial Functions Chapter 4 section 4 21, (27*, 29*, 30* if using graphing calculator option) , 35, 43, 47, 55, 71, 79, 87, 95, 104, 110 3/10 4.5 - The Fundamental Theorem of Algebra Chapter 4 section 5 5, 11, 17, 24, 29, 39, 41 9 3/22 4.6 - Rational Functions and Models Rational Expressions Review and Chapter 4 section 6 7, 10, 24, 33-36, 45, 47, 51, 53, 81, 93, 96 Quiz 4-B (4.4-4.6) 3/24 4.7 - More Equations and Inequalities Chapter 4 section 7 9, 13, 23, 25, 28, 29, 40, 43, 47, 57, 65, 75, 84, 103, 105, 108__ 10 3/29 4.8 - Radical Equations and Power Functions Exponent Review and Chapter 4 section 8 13, 17, 18, 23, 31, 33, 35, 45, 46, 53, 57, 63, 65, 77, 83, 85, 87, 103,107 Quiz 4-C (4.7-4.8) 3/31 Chapter 5 Skills Check 5.3 - Exponential Functions and Models Chapter 5 Skills Review HW and Chapter 5 section 3 3, 7, 9, 11, 16, 19, 21, 25, 27, 29, 37, 39, 47, 53, 59, 61, 65, 69, 71, 72, 87, 92 11 4/5 5.4 - Logarithmic Functions and Models Chapter 5 section 4 5,19, 23, 31, 33, 37, 45, 49, 57, 73, 101, 105, 107, 119, 121, 123 4/7 Quiz 5-B (5.3-5.4) Review for Test 3: Ch 4 review: 30-32, 35-41, 43-47, 49, 52, 53-65 odd, 69, 71-77 odd, 80-82, 85 Checking Basic Concepts for 5.3-5.4 (p. 414): 1-8 Ch 5 review: 30-35, 37-41, 43-51, 53, 55 plus anything from earlier tests. Test 3: April 7 - 11 (Covers through 5.4) 12 4/12 5.5 - Properties of Logarithms Chapter 5 section 5 7, 11 23, 26, 31, 32, 45, 47, 52, 53, 65, 68, 78, 90 4/14 5.6 - Exponential and Logarithmic Equations Chapter 5 section 6 14, 21, 27, 33, 45, 49, 53, 61, 69, 72, 73*, 75*, 79, 83, 86, 93, 101 Quiz 5-C (5.5-5.6) 13 4/19 Chapter 6 Skills Check 6.1 - Functions and Systems of Equations in Two Variables. Chapter 6 Skills Review HW and Systems of linear eq. review and Chapter 6 section 1 11, 21, 31, 35, 37, 43, 47, 51, 53, 58, 76, 81, 113, 116, 122, 131 4/21 6.3 - Systems of Linear Equations in Three Variables Chapter 6 section 3 3, 9, 23, 33 Quiz 6-A (6.1, 6.3) 14 4/26 6.4 - Solutions to Linear Systems Using Matrices Chapter 6 section 4 Skip: Solving Systems of Linear Eq. with Technology 5, 10, 19, 23, 25, 39, 51, 57, 60,73, 75, 83 4/28 6.5 - Properties and Applications of Matrices Chapter 6 section 5 10, 13, 16, 21, 25, 31, 34, 37, 39, 41, 44, 55, 65 15 5/3 Quiz 6-B (6.3-6.4) Review for Test 4: Checking Basic Concepts for 5.5-5.6 (p. 435): 1-5 Ch 5 review: 51, 53-61, 63-76, 79, 80, 82, 84, 85 Ch 6 review: 7, 11, 12, 17-33 odd, 49-51 plus anything from earlier tests. Test 4: May 3 - May 9 (Covers through 6.5) 5/5 6.7 - Determinants Chapter 6 section 7 2, 4, 23, 27, 33 16 5/10 Review for the Final Exam 5/12 Final Exam (covers everything)

Austin Community College Department of Mathematics**
Alternatives to College Algebra

or

Hints to Help the Beginning Student Distinguish between
First-Level College-Credit Mathematics Courses

College Mathematics (ACC's MATH 1332) (UTs M302) **

Goal:    To broaden the students' repertoire of mathematical problem-solving techniques past algebraic techniques.

This course covers a variety of mathematical topics such as set theory, logic, and probability.  Students learn basic college-level techniques in a variety of mathematical areas and learn what types of problems can be solved with each technique.  The algebra prerequisite for the course reflects the need for the students to have an understanding of the conceptual aspects of mathematics rather than a need for them to remember the details of how to solve all the types of algebra problems encountered in high school algebra.  Students with weaker algebraic manipulative skills should still be able to complete this course successfully.

Elementary Statistics (ACC's MATH 1342) (UT's M316 or UT's STA309) **

Goal:  To teach the student to do basic statistical analyses and to enable the student to be an "intelligent user" of standard statistical arguments.

The focus of this course is on using conceptual mathematical skills to solve a particular type of applications problems.  Algebraic manipulation is not a major part of this course; however, students will be required to use formulas extensively.  (A "pretest" indicating the level of skill expected is available from the mathematics department.)  Enough explanation will be given that students who once learned algebra, but have forgotten many of the details, will be able to handle the algebraic aspects of the course easily.

Math for Business & Economics (ACC's MATH 1324) (UT's M303D,Texas States M 1319) **

Goal:  To teach the student some applications of algebra to business and economics problems and to provide a minimal level of algebraic foundation for the first semester of business calculus.

The focus of this course is on the applications problems, with algebra skills from the first two years of high school algebra used as necessary. Students who are not able to demonstrate all the skills from high school Algebra II just before beginning the course will probably find this course very difficult.

College Algebra (ACC's MATH 1314) (UT's  M301, Texas State's  M 1315) **

Goal:  To provide the student with the algebraic foundation for calculus.

The student is expected to be currently confident and skilled in all topics from the first two years of high school algebra or from MATD 0390, Intermediate Algebra, and the new material will build on that foundation with little or no review.  Students who are not able to demonstrate all the skills from high school Algebra II just before the beginning of the course will probably find this course very difficult.

UT = University of Texas at Austin

*Additional information about ACC's mathematics curriculum and faculty is available on the Internet at http://www.austincc.edu/math/

** It is the student's responsibility to determine if these courses are applicable to a specific degree plan at ACC or at another institution.

This webpage was created by Marcus McGuff.
It was last updated on January 22, 2016 .