# Math 2412: Precalculus - Functions and Graphs

### Fall 2018

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

Synonym: 62563, 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

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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/

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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.

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·    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/

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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.

Student Support Services - Resources to support you are available at every campus.  Food pantries are available at all campus Student Life offices (https://sites.austincc.edu/sl/programs/foodpantry/).  Assistance paying for childcare or utility bills is available at any campus Support Center (http://www.austincc.edu/students/support-center).  For sudden, unexpected expenses that may cause you to withdraw from one or more of your courses, go to http://www.austincc.edu/SEF to request emergency assistance through the Student Emergency Fund.  Help with budgeting for college and family life is available through the Student Money Management Office (http://sites.austincc.edu/money/).  Counselors are available at any campus if you experience a personal or mental health concern (http://www.austincc.edu/students/counseling).  All services are free and confidential.

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 8/27/18 1.1, 1.7, 1.2 Functions and their properties 8/29/18 1.3, 1.4 Basic functions and combining functions 2 9/3/18 Holiday - no class 9/5/18 1.5, 1.6 Inverse functions and graphing transformations 3 9/10/18 2.1, 2.2, 2.3 Linear, quadratic, power, and polynomial functions and modeling 9/12/18 2.4, 2.5 Real and complex zeros of polynomials and the Fundamental Theorem of Algebra 4 9/17/18 2.6, 2.7 Graphing rational functions and solving rational equations 9/19/18 2.8 Solving rational inequalities Test 1 – Dates to be announced in class 5 9/24/18 3.1, 3.2 Exponential and logistic functions 9/26/18 3.3 Logarithmic functions 6 10/1/18 3.4, 3.5 Properties of logarithms, solving exponential and logarithmic equations 10/3/18 3.5, 3.6 Solving equations and modeling with exponential and logarithmic equations 7 10/8/18 4.1-4.4 Quick review of basic trigonometry 10/10/18 4.5, 4.6 Graphing trigonometric functions 8 10/15/18 4.7 Inverse trigonometric functions 10/17/18 4.8 Solving trigonometric problems and simple harmonic motion Test 2 – Dates to be announced in class 9 10/22/18 5.1 Fundamental trigonometric identities 10/24/18 5.2 Review proving trigonometric identities 10 10/29/18 5.3, 5.4 More trig review 10/31/18 6.1, 6.2 Vectors and dot products in the plane 11 11/5/18 6.3 Parametric equations 11/7/18 6.4, 6.5 Polar coordinates and polar graphs 12 11/12/18 6.5 More polar graphing 11/14/18 6.6 De Moivre’s Theorem and roots Test 3 – Dates to be announced in class 13 11/19/18 8.1 Conic sections and the parabola 11/21/18 8.2 Circles and ellipses 14 11/26/18 8.3 Hyperbolas 11/28/18 8.6 Cartesian coordinates in 3-dimensions 15 12/3/18 9.3 Sequences 12/5/18 9.4 Series 16 12/10/18 Final Exam, Part 1 12/12/18 Final Exam, Part 2

This webpage was created by Marcus McGuff.
It was last updated on August 25, 2018 .