MATH-1314 College Algebra
C. Johnson
Credit Fall 2024
Section(s)
MATH-1314-005 (91360)
LEC TuTh 6:00pm - 7:20pm HLC HLC1 2209
Course Requirements
Calculator: Students need a scientific calculator. If a student cannot purchase one, calculators are available from the library. Most ACC faculty are familiar with the TI family of calculators. Hence, TI calculators are highly recommended for student use. Other calculator brands can also be used. Graphing calculator use will NOT be allowed on any exams. However, (non-graphing) calculator use will be permitted on exams, but some exam questions will not permit calculator use.
Other Technology: Access to a webcam and microphone are required for this course. Eligible students can check out required technology at https://www.austincc.edu/students/student-technology-services.
Making Time to Learn
We learn math by thinking about and working on mathematical problems, which takes time. Practice is crucial in a math course. To ensure that you have adequate time, set aside 8-12 hours per week outside of class time to practice and study for this course. Ask for help immediately when something isn’t clear.
Getting Help
ACC provides several free resources for students who need help; descriptions and links are below:
Office hours: Another name for office hours is “student hours.” This is the time your instructor has set aside to answer student questions, so feel free to drop by if you have questions. Office hours may be virtual or on campus; see information above.
Instructional Associates: Instructional Associates specific to the course you are taking are available for tutoring. To make an appointment, go to https://sites.google.com/a/austincc.edu/math-students/meet/list and then click on your course.
Learning Labs: The ACC Learning Labs provide tutoring in math and other subjects. To schedule an appointment, go to https://www.austincc.edu/students/learning-lab. This site includes information about in person and virtual tutoring options.
Academic Coaching: Academic coaches offer extra support to students with study strategies; they want to help you learn to be an active participant in your own learning process. For more information or to make an appointment with an academic coach, go to https://www.austincc.edu/students/academic-coaching.
ACC Student Services: Services are offered in many areas, including Academic, Financial, Personal, and Technology Support. For more information, go to https://www.austincc.edu/student-support.
Grades
Grade Components
Tests 1-3: 60%
Test 4 (Final): 25%
MyLab Homework: 7.5%
Handwritten Homework: 7.5%
Grading Scale
A: 90 - 100
B: 80 – 89
C: 70 – 79
D: 60 – 69
F: < 60
Where can I find my grades?
Grades will be posted in Blackboard.
What will we do in this class?
Tests:
There will be 3 exams, each of which will count 20% of your overall course grade, and a fourth exam which is a cumulative final and is worth 25% of your overall course grade. The dates of the exams are noted on the schedule, always on the Thursday of the exam week. All tests will be administered in class. Partial credit is given on exams when the answer is wrong, but the methods used are partially correct. However, the amount of partial credit given on exams is at the discretion of the instructor.
Homework:
MyLab Homework and Written Homework will be assigned every week (on Thursday in Blackboard in the Homework Box) and is due before class the next Thursday. Instructions on how to access MyLab and the Blackboard Homework Box will be discussed on the first day of class. Both MyLab and Written Homework are required.
It is vital that students NOT get behind on homework. Make use of tutoring resources and office hours if you have questions about the homework. You may work in groups on homework, but the homework you submit must represent your own work. Get help when you need it, but first try to do as much of the work on your own as you can. You need to learn how to set up and solve the problems yourself. If you don’t, then you will not do well on the tests.
What happens if I miss something?
Dropped Grade Policy: The lowest three written homework section grades will be dropped for computing the final grade. No test grades will be dropped or replaced.
Late Homework Policy: Some flexibility for late written homework may be permitted. However, it is very important that students not get behind in learning the material. Therefore, late MyLab homework won’t be accepted except under unusual circumstances. You might want to start working on the homework as soon as possible so you don’t get behind. Also, be sure to turn in as much homework as you can, even if it is not perfect or completely finished. Turning in some homework is better than turning in no homework.
Missed Exam Policy: Missing an exam is very serious and should be avoided if possible. Makeup exams are disruptive and inconvenient to both the student and the instructor. If you know that you must miss an exam, contact the instructor as early as possible, and no later than 24 hours after the missed exam. But it is still at the discretion of the instructor to give a makeup exam. Also, if you miss an exam and notify the instructor, you must pay attention and respond to your ACC email so that you can coordinate with the instructor in case a makeup exam is offered.
Attendance Policy: Regular and punctual class attendance is expected of all students. If a student has five or more absences, or if compliance with other course policies is unsatisfactory, the instructor may withdraw the student from the class. In the event the college or campus closes due to unforeseen circumstances, the student is responsible for communicating with their instructor during the closure and completing any assignments or other activities designated by their instructor because of class sessions being missed.
Participation Policy: Students are expected to be present in the classroom, and to participate actively. Occasionally, the instructor may call upon students in class to answer questions or to help work problems.
Course Content
Course Description
Credit Hours: 3, Contact Hours: 3
MATH 1314 College Algebra (3-3-0). A course designed for students who need College Algebra but do not need to take Precalculus (MATH 2412) or Calculus (MATH 2413). In-depth study and applications of polynomial, rational, radical, exponential and logarithmic functions, and systems of equations using matrices. This course does not meet the prerequisite for Precalculus (MATH 2412).
Course Rationale
This course is designed to teach students the functional approach to mathematical relationships that they will need for a business calculus sequence. Other courses, such as MATH 1332, or MATH 1342 are more appropriate to meet a general mathematics requirement. Check with your degree plan as to what math course your college requires.
The Details
First Day Access: To enhance your learning experience and provide affordable access to the right course material, this course is part of an inclusive access model called First Day™. You can easily access the required materials for this course through Blackboard, at a discounted price, and benefit from single sign-on access. Austin Community College includes the discounted price as a course fee in your registration fees for this course.
It is NOT recommended that you Opt Out, as these materials are required to complete the course. You can choose to Opt Out on the first day of class, but you will be responsible for purchasing your course materials at the full retail price and access to your materials may be suspended. See your course in Blackboard for details.
Withdrawal Policy: It is the responsibility of each student to ensure that his or her name is removed from the roll should he or she decide to withdraw from the class. The instructor does, however, reserve the right to drop a student should he or she feel it is necessary. If a student decides to withdraw, he or she should also verify that the withdrawal is submitted before the Final Withdrawal Date. The student is also strongly encouraged to retain their copy of the withdrawal form for their records.
Students who enroll for the third or subsequent time in a course taken since Fall 2002 may be charged a higher tuition rate for that course. State law permits students to withdraw from no more than six courses during their entire undergraduate career at Texas public colleges or universities. With certain exceptions, all course withdrawals automatically count towards this limit. Details regarding this policy can be found in the ACC college catalog.
Reinstatement Policy: Students who withdrew or were withdrawn will not be reinstated unless they have completed all coursework, projects, and exams necessary to place them at the same level of course completion as the rest of the class. Reinstatement is up to the instructor’s approval.
Incomplete Grade Policy: Incomplete grades (I) will be given only in very rare circumstances. Generally, to receive a grade of "I", a student must be up to date on coursework and have a passing grade, and after the last date to withdraw, have a legitimate reason that prevents course completion. An incomplete grade cannot be carried beyond the established date in the following semester. The completion date is determined by the instructor but may not be later than the final deadline for withdrawal in the subsequent semester.
Communication with Your Instructor: All e-mail communication to students will be sent solely to the student’s ACCmail account or math software if applicable, with the expectation that such communications will be read in a timely fashion. Likewise, students should use their ACCmail account or math software when communicating with instructors. Instructors will respond to student emails within 3 business days, if no response has been received by the student at the end of that time, then the student should send a reminder to the instructor.
Name Change Information: If you want to change how your name appears online at ACC, go to https://www.austincc.edu/admissions/update-student-information/chosen-name.
General College Policies: Policies that apply to all courses at ACC can be found here: https://www.austincc.edu/offices/academic-outcomes-assessment/master-syllabi/college-policies.
Readings
This is a First Day™ class. The cost of required course materials, including an online version of the textbook and software access, has been added to your tuition and fees bill.
Textbook: College Algebra with Modeling & Visualization, 6th Edition by Rockswold. Pearson Publishing (MyLab software) ISBN: 9780134763828. MyLab WILL be required for online homework in this course. Additional hand-written homework will also be assigned.
Course Subjects
Course Calendar
Note: Schedule changes may occur during the semester. Any changes will be announced in class and posted as a Blackboard Announcement.
Week |
Date |
Section |
Exam |
1 |
Aug 27 Aug 29 |
1.3 Functions and Their Representations 1.4 Types of Functions and Their Rates of Change |
|
2 |
Sep 3 Sep 5 |
2.1 Equations of Lines 2.2 Linear Equations |
|
3 |
Sep 10 Sep 12 |
2.3 Linear Inequalities 2.4 More Modeling with Functions |
|
4 |
Sep 17 Sep 19 |
R.4 Factoring Polynomials
|
Exam 1 (up to 2.2) |
5 |
Sep 24 Sep 26 |
3.1 Quadratic Functions and Models 3.2 Quadratic Equations |
|
6 |
Oct 1 Oct 3 |
3.3 Complex Solutions of Quadratic Equations 3.4 Quadratic Inequalities (by graphing) |
|
7 |
Oct 8 Oct 10 |
3.5 Transformations of Graphs 4.1 More Nonlinear Functions and Their Graphs |
|
8 |
Oct 15 Oct 17 |
4.2 Polynomial Functions and Models |
Exam 2 (up to 4.1) |
9 |
Oct 22 Oct 24 |
4.4 Real Zeros of Polynomial Functions 4.6 Rational Functions and Models |
|
10 |
Oct 29 Oct 31 |
4.7 More Equations (Rational Equations) 5.1 Combining Functions |
|
11 |
Nov 5 Nov 7 |
5.2 Inverse Functions and Their Representations 5.3 Exponential Functions and Models |
|
12 |
Nov 12 Nov 14 |
5.4 Logarithmic Functions and Models |
Exam 3 (up to 5.2) |
13 |
Nov 19 Nov 21 |
5.5 Properties of Logarithms 5.6 Exponential and Logarithmic Equations |
|
14 |
Nov 26
Nov 28 |
6.1 Systems of Linear Equations in Two Variables 6.3 Systems of Linear Equations in Three Variables Thanksgiving Day |
|
15 |
Dec 3 Dec 5 |
6.4 Solutions to Linear Systems Using Matrices 6.5 Properties and Applications of Matrices |
|
16 |
Dec 10 Dec 12 |
Course Review |
Exam 4 |
Important Dates
Last day for 70% refund: September 16 (Monday)
Last day to withdraw: November 21 (Thursday)
Holidays: Thanksgiving Day, November 28 (Thursday)
Student Learning Outcomes/Learning Objectives
Common Course Objectives
Functions:
- Use and interpret function 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, ax, and logax
- Identify and sketch transformations of the graphs of the following functions: x2, x3, x1/2, 1/x, 1/x2, |x|.
- 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.
Symbolic Adeptness:
- Solve polynomial, rational, exponential, and logarithmic equations symbolically.
- Use the Fundamental Theorem of Algebra
- 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.
- Evaluate the sum, difference and scalar multiplication of matrices.
Applications
- Recognize and use applications of linear functions.
- Recognize and use applications of quadratic functions, including falling object problems and extrema problems.
- Recognize and use applications of rational functions.
- 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.
Student Learning Outcomes
Upon successful completion of the course, a student should be able to:
- Demonstrate understanding and knowledge of properties of functions, which include domain and range, operations, compositions, and inverses.
- Recognize and apply polynomial, rational, exponential, and logarithmic functions and solve related equations.
- Apply graphical, symbolic and numeric techniques.
- Evaluate all roots of higher degree polynomial and rational functions.
- Recognize, solve and apply systems of linear equations using matrices.
General Education Competencies
- 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 SLOs # 1, 2, 3, 4, and 5.
- Written, Oral and Visual Communication: communicating effectively adapting to purpose, structure, audience and medium is covered in every SLO.
Office Hours
T Th 3:00 PM - 3:30 PM EGN1 1204 or classroom (1201)
NOTE If the classroom (1201) is available after class, then for the sake of convenience to the student I will have office hours in the classroom. Otherwise, we can move into 1204 (the adjunct office).T Th 4:30 PM - 5:45 PM HLC1 1431
NOTET Th 7:15 AM - 8:15 PM RRC8 8323.09 (3rd floor, inside of Suite 8323)
NOTEPublished: 08/28/2024 10:57:15