MATH-1314 College Algebra
Anne Vance
Credit Fall 2024
Section(s)
MATH-1314-142 (91400)
LEC MW 11:35am - 12:55pm HLC HLCA 1100
Course Requirements
Required Materials
Calculator: Students need either a scientific or business calculator. (Has log or ln key.) If a student cannot purchase one, calculators are available from the library. Graphing calculators are not required, but you will use graphing technology in most sections of the book. Graphing calculators are also available in the library. Your instructor will determine the extent of calculator use in your class section.
Other Technology: Computer use with internet access outside of class time is required for this course. I recommend that you get the Gradescope phone app; it makes turning in Written HW very easy. Eligible students can check out required technology at https://www.austincc.edu/students/student-technology-services.
Prerequisites: MATD 0370 with a C or higher. Or appropriate score on math TSI Assessment test. Corequisite(s): MATH 1314.
Paired Course Policy: This is a paired course. Students who withdraw from NCBM 0214 will automatically be withdrawn from MATH 1314.
Course Calendar
Note: Schedule changes may occur during the semester. Any changes will be announced in class and posted in Blackboard.
|
Week |
ALEKS Objective Due Sunday at 11:59 pm |
Written Homework due the first day of the week |
|
1 |
Objective #1 (25 topics) |
|
|
2 |
Objective #2 (22 topics) |
HW Week 1 due |
|
3 |
Objective #3 (27 topics) |
HW Week 2 due |
|
4 |
Objective #4 (27 topics) |
HW Week 3 due |
|
5 |
Objective #5 (9 NEW topics) TEST #1 (101 review topics) |
HW Week 4 due TEST 1 |
|
6 |
Objective #6 (15 topics) |
No homework due this week |
|
7 |
Objective #7 (15 topics) |
HW Week 6 due |
|
8 |
Objective #8 (11 topics) |
HW Week 7 due |
|
9 |
Objective #9 (15 topics) |
HW Week 8 due |
|
10 |
Objective #10 (1 New topics) Test #2 (65 review topics) |
HW Week 9 due TEST 2 |
|
11 |
Objective #11 (13 topics) |
No homework due this week |
|
12 |
Objective #12 (14 topics) |
HW Week 11 due |
|
13 |
Objective #13 (14 topics) |
HW Week 12 due |
|
14 |
Objective #14 (14 topics) |
HW Week 13 due |
|
15 |
Objective #15 (11 new topics) Test #3 (55 review topics) |
HW Week 14 due TEST 3 |
|
16 |
Final Exam Review and Test
|
HW Week 15 due FINAL EXAM |
Course Subjects
What will we do in this class?
ALEKS: The majority of the course takes place in the ALEKS software. Each Monday you are assigned an objective with a maximum number of 27 NEW topics. The objective is due on the Sunday evening of each week. It is critical to your success in the course to stay on top of the work as we move through the semester. Your grade for the ALEKS Objectives in the gradebook is an average of the percentage of the topics completed at the end of each week. Once a new week starts, you are assigned a new objective and the previous topics cannot be accessed until you complete 100% of the objective for the current week. This is very similar to missing a class in a lecture course. If you miss a class day, we must move on and continue the course. The average pace for work in ALEKS is 3 topics per hour. At this pace, it is expected that you should be able to complete all topics in ALEKS in 8 hours. This requires you to access ALEKS outside of class time in order to complete your work. The recommended amount of time out of class to work in ALEKS is 5 hours. Combined with the in-class time of working in ALEKS, this is more than enough time to complete all ALEKS work for the course.
Tests: There will be 3 exams, each of which will count equally towards your grade (17% each). The final exam (worth 19%) will be a comprehensive exam over Objectives 1-15. Tests will be administered through the ALEKS program, and a time limit will be imposed on each test.
*IF YOU HAVE A GOOGLE CHROMEBOOK AS YOUR MAIN COMPUTER, PLEASE NOTIFY YOUR INSTRUCTOR.
Exit Exam for NCBM 0214: You may be taking an Exit Exam (similar to a final exam) for NCBM 0214. This exam will be taken in the ALEKS program and will be over selected topics. You will be given one attempt to pass the exit exam. The score you earn on the exit exam will be used in the overall grading scheme to compute your grade in NCBM 0214.
60% of a student’s 0214 grade comes from the Exit Exam category. This component can be satisfied in one of 2 ways.
- Students who are earning 80% or higher in MATH 1314, can forgo the departmental exit exam. Instead of the exit exam, the grade input for this category will be the student’s 1314 overall grade.
- Students who are not earning 80% or higher in MATH 1314 will take the exit exam in the ALEKS software.
Written Homework: Each week you will be given written work in addition to the work in the ALEKS program. Written HW is to be done on paper and turned the following Monday at the beginning of class. Your work will be graded for accuracy, including proper notation and clarity of strategy. These written homework assignments will constitute 15% of your total grade.
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.
MATH 1314 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.
NCBM 0214 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 evaluation, domain and range, related equations, and basic operations.
- Simplify, factor, and perform basic operations on algebraic expressions, including polynomials, rational and radical expressions, complex fractions, and complex numbers.
- Solve linear, absolute value, rational, and radical equations, quadratic equations by symbolic methods including completing the square, and linear inequalities.
- Appropriately use forms and formulas, including quadratic formula, midpoint, distance, and equations of circles and lines.
- Graph linear equations and inequalities, including systems of each, as well as quadratic functions, and circles.
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
M W 10:00 AM - 10:30 AM HLC ACCelerator
NOTET Th 11:00 AM - 12:00 PM HLC Building 1000, ACCelerator computer lab
NOTET Th 1:30 PM - 2:15 PM HLC Building 4000, upper level Faculty Suites, Room 4.2310.56
NOTEM W 5:00 PM - 5:30 PM HLC Building 1000, upper level, lobby at the top of the giant staircase
NOTEM W 9:00 AM - 9:30 AM Online; link is in Blackboard
NOTEPublished: 08/22/2024 17:11:17