# Math 2412: Precalculus - Functions and Graphs

### Fall 2017

Synonym: 18208, Section: 004, Northridge 4213
Monday / Wednesday 2:55 pm - 4:40 pm

General information about the prerequisite courses required for ACC calculus courses is found here.

Synonym: 35641, Section: 004, Northridge 4213
Monday / Wednesday 3:00 pm - 4:45 pm

Precalculus - Functions and Graphs, MATH 2412 Student Learning Outcomes (Course Objectives): Upon successful completion of the course, a student should be able to:

• Identify and manipulate polynomial, power, rational, exponential, logarithmic, and trigonometric functions.  Identify functions’ domains.
• Represent a given polynomial, power, rational, exponential, logarithmic, or trigonometric function numerically, symbolically, graphically, and verbally.  Select the appropriate function in applied problems.
• Sketch graphs and appropriate transformations for the following: polynomial functions (linear, quadratic, followed by those with degree three and higher), trigonometric functions, exponential and logarithmic functions, rational functions, and conic sections.
• Understand and perform addition, subtraction, multiplication, division, and composition of functions.  Perform these operations algebraically, numerically, graphically, and in applied settings.
• Understand the abstract concepts of function inverses and one-to-one functions.  Find inverse functions using algebraic, numerical, graphical, and verbal techniques.  Solve problems involving the inverses of (restricted) polynomial, power, rational, exponential, and trigonometric functions.  Use appropriate inverse functions in applications.
• Work basic exercises using polar coordinates, parametric functions, vectors, sequences, and series.
• Solve equations containing trigonometric functions in routine and applied problems.
• Solve systems of equations, both linear and non-linear.

Appropriate use of technology will be encouraged throughout the course.

The General Education Competency of:

• Critical Thinking: gathering, analyzing, synthesizing, evaluating and applying information is covered in every SLO.
• Quantitative and Empirical Reasoning: applying mathematical, logical, and scientific principles and methods is covered in every SLO.
• Technology Skills: using appropriate technology to retrieve, manage, analyze, and present information is covered in every SLO.
• 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 “F” in 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 Accommodations’ from SAS before accommodations will be provided.  Arrangements for academic accommodations can only be made after the instructor receives the ‘Notice of Approved Accommodations’ from the student.

Students with approved accommodations are encouraged to submit the ‘Notice of Approved Accommodations’ to 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 day’s 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 day’s 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 student’s 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:

·    ACC Photo ID
·    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.

Concealed Handgun Policy - The Austin Community College District concealed handgun policy ensures compliance with Section 411.2031 of the Texas Government Code (also known as the Campus Carry Law), while maintaining ACC’s commitment to provide a safe environment for its students, faculty, staff, and visitors. Beginning August 1, 2017, individuals who are licensed to carry (LTC) may do so on campus premises except in locations and at activities prohibited by state or federal law, or the college’s concealed handgun policy. It is the responsibility of license holders to conceal their handguns at all times. Persons who see a handgun on campus are asked to contact the ACC Police Department by dialing 222 from a campus phone or 512-223-7999. Refer to the concealed handgun policy online at austincc.edu/campuscarry.

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

 Week Dates Sections Topics 1 8/28/17 1.1 - 1.2 Functions and their domains and ranges 8/30/17 1.3 - 1.4 Rates of change and the behavior of graphs, composition of functions 2 9/4/17 Holiday - no class 9/6/17 1.5 - 1.6 Transformation of functions and absolute value functions 3 9/11/17 1.7, 2.3 Inverse functions, modeling with linear functions 9/13/17 3.3 - 3.4 The graphs of polynomial functions 4 9/18/17 3.7 Rational functions: end behavior, asymptotes, intercepts, removable discontinuities, and graphing 9/20/17 3.9 Modeling using variation Test 1 – Dates to be announced in class 5 9/25/17 4.1 - 4.2 Exponential functions and their graphs 9/27/17 4.3 - 4.4 Logarithmic functions and their graphs 6 10/2/17 4.5 - 4.6 Properties of logarithms and modeling with exponential and logarithmic functions 10/4/17 4.6 - 4.7 More solving equations and modeling with exponential and logarithmic functions 7 10/9/17 4.7 More modeling with exponential and logarithmic functions 10/11/17 Ch 5 review Review of basic trig definitions and the unit circle 8 10/16/17 Ch 6 review Review of graphing trigonometric functions 10/18/17 Ch 6 review Review of graphing trigonometric functions Test 2 – Dates to be announced in class 9 10/23/17 7.5 Solving trigonometric equations 10/25/17 7.6 Modeling with trigonmetric equations 10 10/30/17 8.3 Polar coordinates 11/1/17 8.4 Graphing in polar coordinates 11 11/6/17 8.6 Parametric equations: parameterizing a curve, eliminating the parameter, converting back and forth between Cartesian curves and parametric form 11/8/17 8.7 Graphing parametric equations, parametric vs. component plots 12 11/13/17 8.8 Vectors 11/15/17 8.8 More vectors Test 3 – Dates to be announced in class 13 11/20/17 10.1 Conic sections: the ellipse 11/22/17 10.2 Conic sections: the hyperbola 14 11/27/17 10.3 Conic sections: the parabola 11/29/17 11.1 - 11.2 Sequences and arithmetic sequences 15 12/4/17 11.3 - 11.4 Geometric sequences and series 12/6/17 11.4 More series, review for final exam 16 12/11/17 Final Exam, Part 1 12/13/17 Final Exam, Part 2

This webpage was created by Marcus McGuff.
It was last updated on September 4, 2017 .