Outcome-based 23/SP Course Syllabus
Course Rubric-Number-Section:MATH-1314-7G3
Credit:3
Contact Hours:
  • 3 hrs - CBLO
CIP Code:27.0101
Course Title:College Algebra (3 SCH versio
Course Description:In-depth study and applications of polynomial, rational, radical, exponential and logarithmic functions, and systems of equations using matrices. Additional topics such as sequences, series, probability, and conics may be included.
Prerequisites:
Take 1 group
  • Take DMTH-0200
    Minimum grade C or Credit,P
  • Take QTEST-M195 QTEST-M220 or QTEST-M200
  • Take QTEST-M250
  • Take QTEST-STM1
Co-requisites:None
Course Meets:
Online
Instructor: Scott Contois
Office Phone Number:
Email Address: scott.contois@tstc.edu
Office Fax Number:
Building & Office Room Number: Virtual Virtual
Office Hours: 2:00 pm - 3:00 pm Mon. - 1:00 pm - 200 pm Tue. - Fri
 
Approved by: Carlyn KahlDate: 2023-01-06
Course Outcomes
CO1: Demonstrate and apply knowledge of properties of functions, including domain and range, operations, compositions, and inverses
CO2: Recognize and apply polynomial, rational, radical, exponential and logarithmic functions and solve related equations
CO3: Apply graphing techniques
CO4: Evaluate all roots of higher degree polynomial and rational functions
CO5: Recognize, solve and apply systems of linear equations using matrices
 
Added Outcomes
CO6: THECB Critical Thinking Skills (CT) - creative thinking, innovation, inquiry, and analysis, evaluation and synthesis of information
CO7: THECB Communication Skills (COM) - effective development, interpretation, and expression of ideas through written,oral and visual communication
CO8: THECB Empirical and Quantitative Skills (EQS) - manipulation and analysis of numerical data or observable facts resulting in informed conclusions

 

Emergency Assistance Available

As a student you may experience a range of issues that can cause barriers to learning, such as food insecurity, housing, transportation, and childcare concerns, or you may be unable to pay your bills. These stressful events may lead to diminished academic performance or reduce your ability to participate in daily activities. TSTC offers emergency aid and services to assist you with addressing these and other concerns you may be experiencing. Please contact the TSTC Advocacy & Resource Center.

You can reach a coach here: http://bit.ly/ARCCoach

 

Title IX

Texas State Technical College (TSTC) seeks to provide an environment that promotes equal opportunity free from discrimination and harassment.

If you have been a victim of sexual harassment, sexual harassment, sexual assault, or any other form of protected class discrimination, we encourage you to make a report. If you report to a faculty member, she or he must notify TSTC’s Title IX Coordinator about the incident. You may also make a confidential report to TSTC’s Counselors.

All students (including pregnant and parent students), regardless of their legal status are entitled to protections under TSTC’s policy.

For more information about Title IX or sexual misconduct, as well as your options, please visit https://www.tstc.edu/student_life/titleix.

For information about equal opportunity and civil rights policies, visit https://www.tstc.edu/governance/sos.

 

Student Uniforms Requirement

Fully Online Students

Texas State Technical College requires all students to wear a program-specific uniform while attending functions on and off campus. This uniform is available for purchase at the campus bookstore. As a student in a fully online program you are required to purchase at least two program-specific uniforms in the event you attend any in person or off campus learning opportunities or events (i.e. Job Fairs, Resume & Interview workshops, and media interviews).

Hybrid & F2F Students

Texas State Technical College requires all students to wear a program-specific uniform while attending functions and labs on and off campus. This uniform is available for purchase at the campus bookstore. As a student in a hybrid program you are required to purchase at least two program-specific uniforms to wear to in person labs and other learning opportunities or events held on or off campus (i.e. Job Fairs, Resume & Interview workshops, and media interviews).

TSTC Grading Policy for Performance Based Education (PBE) General Education and Academic Courses*
Grade Percent Description Grade Points
A 90-100 Excellent/Superior Performance Level 4
B 80-89 Above Required Performance Level 3
C 70-79 Minimum Required Performance Level 2
F Below 70 Failure to meet Performance Requirements 0
NA - - Not Applicable (Mid-Term)
Note: Only applicable to PBE sections.
0
NE - - No Credit Earned - Accelerated Courses Only (End of Semester)
Note: Only applicable to PBE sections.
0
W - - Withdrawal 0
*Note: The above grade codes only apply to Academic/ACGM PBE courses.
 
TSTC PBE Grading Policy for Performance Based Education (PBE) Technical Programs **
Grade Percent Description Grade Points
A 90-100 Excellent/Superior Performance Level 4
B 80-89 Above Required Performance Level 3
F below 80 Failure to meet Performance Requirements 0
NA - - Not Applicable (Mid-Term) 0
NE - - No Credit Earned
Applicable to Accelerated Courses Only (End of Semester)
0
W - - Withdrawal 0
**Note: The above grade codes only apply to Technical/WECM PBE courses.
 
TSTC Grading Policy for Non-PBE Students
Grade Percent Description Grade Points
A 90-100 Excellent/Superior Performance Level 4
B 80-89 Above Required Performance Level 3
C 70-79 Minimum Required Performance Level 2
D 60-69 Below Required Performance Level 1
F Below 60 Failure to meet Performance Requirements 0
W - - Withdrawal 0
IP - - In Progress  
Reference: TSTC Statewide Operating Standard ES 4.06 Grading System

See College Catalog for complete descriptions.

NOTE: Course prerequisite/corequisite
When a course is a prerequisite or corequisite and the student is a PBE student, the PBE grading scheme is applicable. If the prerequisite was completed prior to the PBE start term for the student, the traditional grade may be acceptable. The student should review prior grades with the Enrollment Coach.

Performance Based Education (PBE) Program Competencies and Traditional Program Instruction (Non-PBE) Curriculum Revisions

Each Program of Study, at least once a year, reviews its degree plans, courses, lesson plans, course objectives, course outcomes and/or competencies. They do this to ensure that each degree plan contains the most current curriculum and that it meets industry standards and requirements.

Students who successfully complete courses by meeting the minimum standards set for the course will complete the course outcomes and/or PBE competencies and assessments set at the time of enrollment. Course outcomes, competencies, and assessments can be updated at any time, especially from one academic year to another. If a student needs to repeat a course they may need to complete different lesson plans, course objectives, assessments and/or course competencies.

Example: A student drops or fails a course in the Spring semester. When the student registers to retake a course, some or all of the course lesson plans and/or competencies and assessments may be different. Therefore, the student will need to successfully complete the newest assessment requirements for the course.

Campus Standard Policies

The Student Handbook contains valuable information on campus policies and procedures.

  • Student Code of Conduct
  • Student Drug and Alcohol Testing Policy
  • Plagiarism
  • Student Grievances and Complaints

Access and Learning Accommodations

(formerly Disability Services)

In compliance with the Americans with Disabilities Act Amendments Act of 2008, Americans with Disabilities Act of 1990 and Section 504 of the Rehabilitation Act, Texas State Technical College is committed to ensuring educational access to its students and promotes full participation in it’s programs, services, and course requirements.

Qualified students with disabilities are encouraged to access these services by contacting the Access and Learning Accommodations office to discuss their needs for accommodations.

Students reserve the right to request services at any time during the semester, however, instructors are not allowed to provide classroom accommodations to a student until appropriate verification from the Access and Learning Accommodations office has been provided.

For information, please contact the Access and Learning Accommodations office in a timely manner.

Statewide contact information:
Email: adarequest@tstc.edu
Phone #: 254.867.3842

 

Tutoring Statement

The Supplemental Instruction & Tutoring Program at TSTC offers free tutoring and academic support services to help you achieve your academic and career goals. You can access the Tutoring Schedule, as well as MyTSTC Video Tutor Library, by visiting: https://portal.tstc.edu/student/Student_Learning/Pages/Tutoring.aspx (shortened link: goo.gl/Z9vJvY ).

For more information, please contact Norma A. Salazar@ 956-364-4557.

Learning Resource Center

The Learning Resource Center provides online and in person library resources and services.  Go to tstc.libguides.com to find help with your assignments, projects, and papers.  Clicking the Student tab will allow you to find resources, homework help, tutorials, and real time chat to answer your questions.

 


Enrollment Coach Information

TSTC is here to help you succeed and to aid you through your journey with us. We have assigned you an Enrollment Coach who will assist you with scheduling your classes, guide you towards completing your classes on time, and let you know about all the services TSTC has to offer.  In order to help you stay on track to your great paying job, we ask that you meet with your enrollment coach weekly, whether in person, on the computer, or through a phone call.  These meetings won’t take long and we want to make sure you know how you are doing and how to get where you are going!  To schedule a meeting with your enrollment coach you can click on this link: http://tstc.edu/meetwithcoach.  Our job is to help you succeed!

Resources
Textbooks & Publications:
ItemTitleAuthorPublisherEditionISBN
1College Algebra & TrigonometryLial, Hornsby, Schneider, DanielsPearson7thThe student will get the code to access the software and ebook via Redshelf. The cost of the code will becharged to the student's TSTC account and the student can access the material on day one.
Tools, Materials:
ItemResource Quantity
1Internet - for both MyLab Math, Canvas and Google Meet1
2Calculator - Texas Instrument TI 84 or other similar Scientific calculator, Handheld, Not a Cell Phone1
3Adobe Acrobat - to access PDF files on Canvas1
4Active YuJa Account - Provided by TSTC - please make sure that your account is working. If not, contact the IT department - 1-800-592-8784 or tstchelpdesk@tstc.edu1
5Camera on your computer for the proctoring Master Assessments1

 

Grade Scheme
Category Description Category Value   
0%   
Assessment Label: Assessment Description Assessment Value
Syllabus Quiz:Syllabus Quiz0.00%
Category Description Category Value   
Assessment Values 80%   
Assessment Label: Assessment Description Assessment Value
Assessment 1:Module 1 Assessment6.67%
Assessment 2:Module 2 Assessment6.67%
Assessment 3:Module 3 Assessment6.67%
Assessment 4:Module 4 Assessment6.67%
Assessment 5 :Module 5 Assessment6.67%
Assessment 6:Module 6 Assessment6.67%
Assessment 7:Module 7 Assessment6.67%
Assessment 8:Module 8 Assessment6.67%
Assessment 9:Module 9 Assessment6.67%
Assessment 10:Module 10 Assessment6.67%
Assessment 11:Module 11 Assessment6.67%
Assessment 12:Module 12 Assessment6.67%
Category Description Category Value   
Check for Understanding 20%   
Assessment Label: Assessment Description Assessment Value
Check for Understanding1.1:Utilize ordered pairs to determine whether a relation is a function.0.49%
Check for Understanding 1.2:Determine whether a relation is a function based on its graph.0.49%
Check for Understanding 1.3:Assess whether an equation is a function.0.49%
Check for Understanding 1.4:Represent equations in function notation and evaluate a function at a specific value.0.49%
Check for Understanding 1.5:Identify intervals over which a function is increasing, decreasing, or constant.0.49%
Check for Understanding 2.1:Work with linear equations written in function notation.0.49%
Check for Understanding 2.2:Work with linear equations written in standard form.0.49%
Check for Understanding 2.3:Calculate the slope of a line.0.49%
Check for Understanding 2.4:Graph a linear equation based on its slope.0.49%
Check for Understanding 2.5:Determine the equation of a line which meets certain criteria.0.49%
Check for Understanding 2.6:Work with perpendicular and parallel lines.0.49%
Check for Understanding 3.1:Identify and interpret graphs of various types of functions.0.49%
Check for Understanding 3.2:Determine whether a function is even, odd, or neither.0.49%
Check for Understanding 3.3:Apply transformations to graphs of various functions.0.49%
Check for Understanding 4.1:Perform algebraic operations with functions.0.49%
Check for Understanding 4.2:Use graphs or tables to find the sum, difference, product, or quotient of two functions.0.49%
Check for Understanding 4.3:4.3 Perform function composition.0.49%
Check for Understanding 5.1:Identify properties of quadratic equations in standard form.0.49%
Check for Understanding 5.2:Identify properties of quadratic equations in Vertex form.0.49%
Check for Understanding 5.3:5.3 Apply quadratic equations.0.49%
Check for Understanding 6.1:6.1 Perform synthetic division.0.49%
Check for Understanding 6.2:Factor polynomial expressions.0.49%
Check for Understanding 6.3:Construct polynomial expressions which have given properties.0.49%
Check for Understanding 7.1:Graph polynomial equations.0.49%
Check for Understanding 7.2:Utilize the Intermediate Value Theorem.0.49%
Check for Understanding 7.3:Transform rational equations.0.49%
Check for Understanding 7.4:Graph a rational function.0.49%
Check for Understanding 8.1:Identify whether a function is one-to-one and invertible.0.49%
Check for Understanding 8.2:Find inverse functions.0.49%
Check for Understanding 8.3:Graph inverse functions.0.49%
Check for Understanding 9.1:Solve exponential functions.0.49%
Check for Understanding 9.2:Graph exponential functions.0.49%
Check for Understanding 9.3:Apply exponential functions.0.49%
Check for Understanding 10.1:Convert exponential values. 0.49%
Check for Understanding 10.2:Solve logarithmic equations. 0.49%
Check for Understanding 10.3:Graph logarithmic functions. 0.49%
Check for Understanding 10.4:Utilize properties of logarithms. 0.49%
Check for Understanding 10.5:Apply logarithmic calculations. 0.49%
Check for Understanding 11.1:Perform algebraic operations on matrices. 0.49%
Check for Understanding 12.1:Utilize the Gauss-Jordan Method to solve systems of equations. 0.49%
Check for Understanding 12.2:Utilize matrix algebra to solve a system of equations. 0.49%
Total Assessment Percent          100.00%
Total Category Percent 100.00%
A = 100-90 B = 89-80 C = 79-70 D = 69-60 F = 59-0


Description of Graded Elements of the Course
Assessment Label Assessment Description/Course outcomes met Assessment Value
in Percent
% of Final Grade
Assessment 11Module 11 Assessment
Course outcomes met: CO5, CO6, CO7, CO8
6.676.67%
Assessment 12Module 12 Assessment
Course outcomes met: CO5, CO6, CO7
6.676.67%
Check for Understanding1.1Utilize ordered pairs to determine whether a relation is a function.
Course outcomes met: CO1, CO6, CO8, CO7
0.490.49%
Check for Understanding 1.2Determine whether a relation is a function based on its graph.
Course outcomes met: CO7, CO8, CO6, CO1
0.490.49%
Check for Understanding 1.3Assess whether an equation is a function.
Course outcomes met: CO1, CO6, CO8, CO7
0.490.49%
Check for Understanding 1.4Represent equations in function notation and evaluate a function at a specific value.
Course outcomes met: CO7, CO8, CO6, CO1
0.490.49%
Check for Understanding 1.5Identify intervals over which a function is increasing, decreasing, or constant.
Course outcomes met: CO1, CO6, CO8, CO7
0.490.49%
Check for Understanding 2.1Work with linear equations written in function notation.
Course outcomes met: CO6, CO8, CO3, CO7
0.490.49%
Check for Understanding 2.2Work with linear equations written in standard form.
Course outcomes met: CO7, CO3, CO8, CO6
0.490.49%
Check for Understanding 2.3Calculate the slope of a line.
Course outcomes met: CO6, CO8, CO3, CO7
0.490.49%
Check for Understanding 2.4Graph a linear equation based on its slope.
Course outcomes met: CO7, CO3, CO8, CO6
0.490.49%
Check for Understanding 2.5Determine the equation of a line which meets certain criteria.
Course outcomes met: CO6, CO8, CO3, CO7
0.490.49%
Check for Understanding 2.6Work with perpendicular and parallel lines.
Course outcomes met: CO7, CO3, CO8, CO6
0.490.49%
Check for Understanding 3.1Identify and interpret graphs of various types of functions.
Course outcomes met: CO3, CO6, CO7, CO8
0.490.49%
Check for Understanding 3.2Determine whether a function is even, odd, or neither.
Course outcomes met: CO8, CO7, CO6, CO3
0.490.49%
Check for Understanding 3.3Apply transformations to graphs of various functions.
Course outcomes met: CO3, CO6, CO7, CO8
0.490.49%
Check for Understanding 4.1Perform algebraic operations with functions.
Course outcomes met: CO1, CO6, CO8, CO7
0.490.49%
Check for Understanding 4.2Use graphs or tables to find the sum, difference, product, or quotient of two functions.
Course outcomes met: CO7, CO8, CO6, CO1
0.490.49%
Check for Understanding 4.34.3 Perform function composition.
Course outcomes met: CO1, CO6, CO8, CO7
0.490.49%
Check for Understanding 5.1Identify properties of quadratic equations in standard form.
Course outcomes met: CO2, CO6, CO7, CO8
0.490.49%
Check for Understanding 5.2Identify properties of quadratic equations in Vertex form.
Course outcomes met: CO8, CO7, CO6, CO2
0.490.49%
Check for Understanding 5.35.3 Apply quadratic equations.
Course outcomes met: CO2, CO6, CO7, CO8
0.490.49%
Check for Understanding 6.16.1 Perform synthetic division.
Course outcomes met: CO4, CO8, CO6
0.490.49%
Check for Understanding 6.2Factor polynomial expressions.
Course outcomes met: CO6, CO8, CO4
0.490.49%
Check for Understanding 6.3Construct polynomial expressions which have given properties.
Course outcomes met: CO4, CO8, CO6
0.490.49%
Check for Understanding 7.1Graph polynomial equations.
Course outcomes met: CO8, CO6, CO7, CO2, CO3, CO4
0.490.49%
Check for Understanding 7.2Utilize the Intermediate Value Theorem.
Course outcomes met: CO4, CO3, CO2, CO7, CO6, CO8
0.490.49%
Check for Understanding 7.3Transform rational equations.
Course outcomes met: CO8, CO6, CO7, CO2, CO3, CO4
0.490.49%
Check for Understanding 7.4Graph a rational function.
Course outcomes met: CO4, CO3, CO2, CO7, CO6, CO8
0.490.49%
Check for Understanding 8.1Identify whether a function is one-to-one and invertible.
Course outcomes met: CO1, CO6, CO7, CO8
0.490.49%
Check for Understanding 8.2Find inverse functions.
Course outcomes met: CO8, CO7, CO6, CO1
0.490.49%
Check for Understanding 8.3Graph inverse functions.
Course outcomes met: CO1, CO6, CO7, CO8
0.490.49%
Check for Understanding 9.1Solve exponential functions.
Course outcomes met: CO2, CO8, CO6, CO7
0.490.49%
Check for Understanding 9.2Graph exponential functions.
Course outcomes met: CO7, CO6, CO8, CO2
0.490.49%
Check for Understanding 9.3Apply exponential functions.
Course outcomes met: CO2, CO8, CO6, CO7
0.490.49%
Check for Understanding 10.1Convert exponential values.
Course outcomes met: CO6, CO2, CO8, CO7
0.490.49%
Check for Understanding 10.2Solve logarithmic equations.
Course outcomes met: CO7, CO8, CO2, CO6
0.490.49%
Check for Understanding 10.3Graph logarithmic functions.
Course outcomes met: CO6, CO2, CO8, CO7
0.490.49%
Check for Understanding 10.4Utilize properties of logarithms.
Course outcomes met: CO7, CO8, CO2, CO6
0.490.49%
Check for Understanding 10.5Apply logarithmic calculations.
Course outcomes met: CO6, CO2, CO8, CO7
0.490.49%
Check for Understanding 11.1Perform algebraic operations on matrices.
Course outcomes met: CO5, CO6, CO7, CO8
0.490.49%
Check for Understanding 12.1Utilize the Gauss-Jordan Method to solve systems of equations.
Course outcomes met: CO5, CO6, CO7, CO8
0.490.49%
Check for Understanding 12.2Utilize matrix algebra to solve a system of equations.
Course outcomes met: CO8, CO7, CO6, CO5
0.490.49%
Syllabus QuizSyllabus Quiz
Course outcomes met: CO1, CO2, CO3, CO4, CO5, CO6, CO7, CO8
0.000.00%
Assessment 1Module 1 Assessment
Course outcomes met: CO1, CO6, CO7, CO8
6.676.67%
Assessment 2Module 2 Assessment
Course outcomes met: CO3, CO6, CO7, CO8
6.676.67%
Assessment 3Module 3 Assessment
Course outcomes met: CO3, CO6, CO7, CO8
6.676.67%
Assessment 4Module 4 Assessment
Course outcomes met: CO1, CO6, CO7, CO8
6.676.67%
Assessment 5 Module 5 Assessment
Course outcomes met: CO2, CO6, CO7, CO8
6.676.67%
Assessment 6Module 6 Assessment
Course outcomes met: CO4, CO6, CO7, CO8
6.676.67%
Assessment 7Module 7 Assessment
Course outcomes met: CO2, CO3, CO4, CO6, CO7, CO8
6.676.67%
Assessment 8Module 8 Assessment
Course outcomes met: CO1, CO6, CO7, CO8
6.676.67%
Assessment 9Module 9 Assessment
Course outcomes met: CO2, CO6, CO7, CO8
6.676.67%
Assessment 10Module 10 Assessment
Course outcomes met: CO2, CO6, CO7, CO8
6.676.67%
  100.00100.00%

 

Course Schedule
Unit/
Week
Unit Description/Objectives Assessment Label:Description Due Date
1Introduction to the course. The student will be required to read the syllabus and take the syllabus quiz scoring a 100 in order to gain access to Pearson MyLab Math, which is a requirement for the course.
 
  • Understand the design and grading for course.
Syllabus Quiz: Syllabus Quiz
2Module 1: Functions - Demonstrate and apply properties of functions, including domain, range, and intervals upon which a function is increasing, decreasing, or constant.
 
  • Given ordered pairs, identify the domain and range.
  • Given ordered pairs, determine whether a relation is a function.
  • Use the vertical line test to identify a function.
  • Identify the domain and range of a graphed function.
  • Identify the domain and range of an equation.
  • Determine whether an equation represents a function.
  • Rewrite linear equations utilizing function notation.
  • Evaluate a function (in function notation) for a specific value of the independent variable.
  • Given a graph, identify intervals over which the function is increasing.
  • Given a graph, identify intervals over which the function is decreasing.
  • Given a graph, identify intervals over which the function is constant.
Check for Understanding 1.1 Utilize ordered pairs to determine whether a relation is a function.
Check for Understanding 1.2 Determine whether a relation is a function based on its graph.
Check for Understanding 1.3 Assess whether an equation is a function.
Check for Understanding 1.4 Represent equations in function notation and evaluate a function at a specific value.
Check for Understanding 1.5 Identify intervals over which a function is increasing, decreasing, or constant.
Assessment 1: Module 1 Assessment
3Module 2: Linear Functions - Create, graph, and interpret linear equations written in different forms.
 
  • Identify the domain and range of a linear equation written in function notation.
  • Graph a linear equation written in function notation.
  • Identify the domain and range of a linear equation written in standard form.
  • Graph a linear equation written in standard form.
  • Given two points, determine the slope of the line which connects them.
  • Given a linear equation in slope-intercept form, find the slope and graph the line.
  • Graph a line when given a point and a slope.
  • Given the equation of a line, identify the slope and the y-intercept and graph the line.
  • Given a point and a slope, write the equation of the line (in standard form, as well as in slope-intercept form).
  • Given two points, write the equation of the line (in standard form, as well as in slope-intercept form).
  • Given a graph, identify the slope and the intercepts, and write the equation of the line (in standard form, as well as in slope-intercept form).
  • Given a point, write the equation of a line, knowing that it is parallel to another given line.
  • Given a point, write the equation of a line, knowing that it is perpendicular to another given line.
Check for Understanding 2.1 Work with linear equations written in function notation.
Check for Understanding 2.2 Work with linear equations written in standard form.
Check for Understanding 2.3 Calculate the slope of a line.
Check for Understanding 2.4 Graph a linear equation based on its slope.
Check for Understanding 2.5 Determine the equation of a line which meets certain criteria.
Check for Understanding 2.6 Work with perpendicular and parallel lines.
Assessment 2: Module 2 Assessment
4Module 3: Symmetry & Graph Transformations - Associate properties of graphs and perform transformational graphing techniques.
 
  • Identify graphs for the following types of functions: linear equation, quadratic equation, cubic equation, radical equation (either the square root or cube root), absolute value equation, greatest integer function, identity function, and constant function.
  • For each of the above, identify the domain and range.
  • For each of the above, identify intervals on which the graph is increasing.
  • For each of the above, read functions values from the graph of the equation.
  • Determine the symmetry of a graph from its equation.
  • Determine whether a function is even, and explain what symmetry such a function will exhibit when graphed.
  • Determine whether a function is odd, and explain what symmetry such a function will exhibit when graphed.
  • Determine whether a function is neither even nor odd, and explain what symmetry such a function will exhibit when graphed.
  • Graph the following types of equations using transformations: quadratic equations, cubic equations, radical equations (both square roots and cube roots), and absolute value equations.
  • Given a graph, apply transformations to create the graph of a related function.
Check for Understanding 3.1 Identify and interpret graphs of various types of functions.
Check for Understanding 3.2 Determine whether a function is even, odd, or neither.
Check for Understanding 3.3 Apply transformations to graphs of various functions.
Assessment 3: Module 3 Assessment
5Module 4: Combining & Composing Functions - Combine functions arithmetically, and compose functions.
 
  • Add functions: (f + g)(x) = f(x) + g(x).
  • Subtract functions: (f - g)(x) = f(x) - g(x).
  • Multiply functions: (f * g)(x) = f(x) * g(x).
  • Divide functions: (f / g)(x) = f(x) / g(x).
  • Use graphs to evaluate algebraic operations with functions.
  • Use tabular values to evaluate algebraic operations with functions.
  • Find compositions of functions: f(g(x)) = (f o g)(x).
  • Identify the domain of a composition of functions.
  • Evaluate a composition of functions for a particular element of the domain.
Check for Understanding 4.1 Perform algebraic operations with functions.
Check for Understanding 4.2 Use graphs or tables to find the sum, difference, product, or quotient of two functions.
Check for Understanding 4.3 Perform function composition.
Assessment 4: Module 4 Assessment
6Module 5: Quadratic Functions - Perform operations with quadratic equations
 
  • Find the vertex of a quadratic equation.
  • Find the axis of symmetry for a quadratic equation.
  • Determine the domain and range of a quadratic equation.
  • Identify the intervals of a quadratic where the function is increasing or decreasing.
  • Sketch the graph of a quadratic equation in standard form.
  • Find the vertex of a quadratic equation.
  • Identify the direction of a quadratic equation.
  • Find the axis of symmetry for a quadratic equation.
  • Determine the domain and range of a quadratic equation.
  • Identify the intervals of a quadratic where the function is increasing or decreasing.
  • Sketch the graph of a quadratic equation in Vertex form.
  • Solve word problems using quadratic equations.
Check for Understanding 5.1 Identify properties of quadratic equations in standard form.
Check for Understanding 5.2 Identify properties of quadratic equations in Vertex form.
Check for Understanding 5.3 Apply quadratic equations.
Assessment 5 : Module 5 Assessment
7Module 6: Finding Roots - Evaluate roots of polynomial and rational functions.
 
  • Divide polynomials using synthetic division.
  • Use the Remainder Theorem with synthetic division to find f(k).
  • Determine whether k is a zero of a polynomial function using synthetic division.
  • Determine whether a given polynomial is a factor of another using synthetic division.
  • Given a value that is a zero of a polynomial, finish factoring the polynomial.
  • List all possible rational zeros of a polynomial.
  • Given a list of all possible rational zeros, factor a polynomial expression.
  • Given the real zeros of a polynomial and the multiplicity of each, construct a polynomial that has a particular function value.
  • Determine a polynomial expression given the factors, including irrational factors.
  • Determine a polynomial expression given the factors, including imaginary or complex factors.
Check for Understanding 6.1 Perform synthetic division.
Check for Understanding 6.2 Factor polynomial expressions.
Check for Understanding 6.3 Construct polynomial expressions which have given properties.
Assessment 6: Module 6 Assessment
8Module 7: Polynomial Equations & Rational Equations - Perform operations with polynomial and rational equations.
 
  • Determine the end behavior for a polynomial function.
  • Use the zeros and end behavior to graph a polynomial function.
  • Show that real roots of a polynomial function exist between given values of the domain.
  • Show that real zeros of a polynomial fit the description of a polynomial function.
  • Explain the effects of transformation when working with rational equations.
  • Determine the domain and range of a transformed rational equation.
  • Identify intervals of the domain on which a rational function is increasing or decreasing.
  • Find equations for the vertical asymptotes of a rational equation.
  • Find the equation for the horizontal or oblique asymptote of a rational equation.
  • Sketch the graph or a rational equation.
Check for Understanding 7.1 Graph polynomial equations.
Check for Understanding 7.2 Utilize the Intermediate Value Theorem.
Check for Understanding 7.3 Transform rational equations.
Check for Understanding 7.4 Graph a rational function.
Assessment 7: Module 7 Assessment
9Module 8: Inverse Functions - Demonstrate and apply knowledge of inverse functions.
 
  • Identify whether a function is one-to-one and invertible.
  • Given a graph, determine whether a function is one-to-one.
  • Given an equation, determine whether a function is one-to-one.
  • Given two functions, determine whether they are inverses of each other.
  • Given a set of ordered pairs, find the inverse function.
  • Given an equation, find the inverse function.
  • Graph an equation and its inverse, giving the domain and range of each.
  • Given a graph, plot the graph of the inverse function.
Check for Understanding 8.1 Identify whether a function is one-to-one and invertible.
Check for Understanding 8.2 Find inverse functions.
Check for Understanding 8.3 Graph inverse functions.
Assessment 8: Module 8 Assessment
10Module 9: Exponential Functions - Perform operations with exponential functions.
 
  • Find function values when the function variable is in an exponent.
  • Solve equations where the variable to be isolated is in an exponent.
  • Solve exponential equations where the variable is raised to a power (by taking the appropriate root of both sides).
  • Graph a function which has a variable in the exponent.
  • Identify the domain and range for a function which has a variable in the exponent.
  • Calculate future value using the compound interest formula.
  • Calculate present value using the compound interest formula.
  • Calculate interest owed on loan amortizations to compare loan offers and terms.
Check for Understanding 9.1 Solve exponential functions.
Check for Understanding 9.2 Graph exponential functions.
Check for Understanding 9.3 Apply exponential functions.
Assessment 9: Module 9 Assessment
11Module 10: Logarithms - Perform operations with logarithms, logarithmic equations and exponential equations.
 
  • Convert from exponential form to logarithmic form.
  • Convert from logarithmic form to exponential form.
  • Solve equations involving logarithms by converting to exponential form.
  • Calculate the value of a logarithmic expression, including both common and natural logarithms
  • Calculate logarithms in various bases, using the change-of-base formula.
  • Sketch graphs of logarithmic functions.
  • Expand logarithmic expressions using the laws of logarithms.
  • Condense logarithmic expressions using the laws of logarithms.
  • Solve exponential equations by converting to logarithmic form.
  • Solve various types of logarithmic equations employing different strategies.
  • Solve various word problems involving logarithmic equations.
Check for Understanding 10.1 Convert exponential values.
Check for Understanding 10.2 Solve logarithmic equations.
Check for Understanding 10.3 Graph logarithmic functions.
Check for Understanding 10.4 Utilize properties of logarithms.
Check for Understanding 10.5 Apply logarithmic calculations.
Assessment 10: Module 10 Assessment
12Module 11: Matrix Algebra - Perform algebraic operations on matrices.
 
  • Solve equations involving equal matrices.
  • Add and subtract matrices of equal order.
  • Perform scalar multiplication with matrices.
  • Multiply matrices (when it is possible to do so).
Check for Understanding 11.1 Perform algebraic operations on matrices.
Assessment 11: Module 11 Assessment
13Module12: Gaussian Matrix Methods - Solve a system of linear equations using the matrix system.
 
  • Represent a system of equations as an augmented matrix.
  • Solve systems of equations using the Gauss-Jordan method; Reduced Row echelon form.
  • Identify whether the system of equations is consistent, inconsistent, or has an infinitely many solutions.
  • Solve a system of equations using the inverse matrix method.
12.1 Check for Understanding 12.1 Utilize the Gauss-Jordan Method to solve systems of equations.
12,2 Check for Understanding 12.2 Utilize matrix algebra to solve a system of equations
Assessment 12: Module 12 Assessment
14Check for Understanding
 
  • These formative assessments are designed to help gauge your understanding of the content and help you prepare for the Assessments.
Check for Understanding1.1: Utilize ordered pairs to determine whether a relation is a function.
Check for Understanding 1.2: Determine whether a relation is a function based on its graph.
Check for Understanding 1.3: Assess whether an equation is a function.
Check for Understanding 1.4: Represent equations in function notation and evaluate a function at a specific value.
Check for Understanding 1.5: Identify intervals over which a function is increasing, decreasing, or constant.
Check for Understanding 2.1: Work with linear equations written in function notation.
Check for Understanding 2.2: Work with linear equations written in standard form.
Check for Understanding 2.3: Calculate the slope of a line.
Check for Understanding 2.4: Graph a linear equation based on its slope.
Check for Understanding 2.5: Determine the equation of a line which meets certain criteria.
Check for Understanding 2.6: Work with perpendicular and parallel lines.
Check for Understanding 3.1: Identify and interpret graphs of various types of functions.
Check for Understanding 3.2: Determine whether a function is even, odd, or neither.
Check for Understanding 3.3: Apply transformations to graphs of various functions.
Check for Understanding 4.1: Perform algebraic operations with functions.
Check for Understanding 4.2: Use graphs or tables to find the sum, difference, product, or quotient of two functions.
Check for Understanding 4.3: 4.3 Perform function composition.
Check for Understanding 5.1: Identify properties of quadratic equations in standard form.
Check for Understanding 5.2: Identify properties of quadratic equations in Vertex form.
Check for Understanding 5.3: 5.3 Apply quadratic equations.
Check for Understanding 6.1: 6.1 Perform synthetic division.
Check for Understanding 6.2: Factor polynomial expressions.
Check for Understanding 6.3: Construct polynomial expressions which have given properties.
Check for Understanding 7.1: Graph polynomial equations.
Check for Understanding 7.2: Utilize the Intermediate Value Theorem.
Check for Understanding 7.3: Transform rational equations.
Check for Understanding 7.4: Graph a rational function.
Check for Understanding 8.1: Identify whether a function is one-to-one and invertible.
Check for Understanding 8.2: Find inverse functions.
Check for Understanding 8.3: Graph inverse functions.
Check for Understanding 9.1: Solve exponential functions.
Check for Understanding 9.2: Graph exponential functions.
Check for Understanding 9.3: Apply exponential functions.
Check for Understanding 10.1: Convert exponential values.
Check for Understanding 10.2: Solve logarithmic equations.
Check for Understanding 10.3: Graph logarithmic functions.
Check for Understanding 10.4: Utilize properties of logarithms.
Check for Understanding 10.5: Apply logarithmic calculations.
Check for Understanding 11.1: Perform algebraic operations on matrices.
Check for Understanding 12.1: Utilize the Gauss-Jordan Method to solve systems of equations.
Check for Understanding 12.2: Utilize matrix algebra to solve a system of equations.

Course Policies:

This course utilizes the learning management system, Canvas. Resources in Canvas include the official gradebook for the course, the course calendar, notifications, and other resources which assist in navigating the course. Additionally, instructor notes and/or videos designed to aid student learning may be posted in Canvas.

 

All students have a TSTC MyMail account. All official messages sent by the instructor will be directed to the student's MyMail account, so students should be checking messages regularly.

 

The course’s Canvas website can be accessed through Portal.tstc.edu or tstc.instructure.com. If you have difficulty with this site or your mymail account, technical support is available by phone at 800-592-8784, by email at tstchelpdesk@tstc.edu, or via Google Hangout tstchelpdesk.

 

The materials used in the course (textbooks, handouts, media files, podcast, MP3, Videos, RSS Feeds), and all instructional resources on the colleges Learning Management System (Canvas) are intended for use only by students registered and enrolled in this course, and are only to be used for instructional use, activities associated with, and for the duration of the course. By "handouts," this means all materials generated for this course, which includes but are not limited to syllabi, quizzes, exams, lab problems, in-class materials, review sheets, and any additional materials.

 

These materials may not be retained in another medium or disseminated further. They are provided in compliance with the provisions of the Teach Act. These materials may not be reproduced, displayed, modified or distributed without the express prior written permission of the copyright holder or TSTC. For further information contact your instructor.

 

This course also uses Pearson's MyLab Math.  Upon successful completion of the Course Policy/Syllabus Quiz, students will be given access to MyLab Math.  Students must purchase MyLab Math and register immediately.  All other graded elements of the course (e.g., mastery assessments) will be completed MyLab Math. It is impossible to earn a passing grade in this course without access to MyLab Math.  Within MyLab Math students will find resources to help them learn the course material such as an ebook, notes, videos, and PowerPoints created by Pearson.

 

For technical support, the student can contact Pearson at support.pearson.com

 

An online learning course requires a high degree of motivation.  To gain the most from an online course, explicit time should be scheduled during the week to work on course assignments.  Please pick a day and a time, three or four days a week for two to three hours each day to work on this course.  There will be a timeline posted in Canvas.

Because this course utilizes Canvas, MyLab Math, and MyMail, students must have reliable internet access. If a student does not have reliable access at home, they need to have a designated location with internet access where they will be able to complete the coursework.  If you have problems with your home technology that are affecting your work in the course, please notify your instructor via phone or email message as soon as possible.

 

Instructor Communication

The instructor will respond to messages received during the normal workday (Monday – Friday 8am to 5pm) within 24 hours. Emails received on weekends (after 5pm on Friday but before 8am on Monday) or during holidays will be responded to on the next business day.  The instructor will have virtual office hours.  These meeting times and how to reach the instructor will be posted in Canvas.

 

Virtual Open Labs

Virtual Open Labs are virtual spaces (via Google Meet) where students can connect with instructors and other students to discuss assessments and course content.  Virtual Open Labs are available Monday through Thursday from 8 a.m. to 8 p.m.  The Virtual Open Lab links for the Academics Division are:

 

 

Student Conduct

Students are expected to follow all of the guidelines related to conduct which are found in the TSTC Student Handbook.

Mathematics is not a spectator sport; students who are not studying course materials and completing assignments will not succeed in the course. Students should also communicate with the instructor when they are struggling, so that the instructor can help the student. Students should schedule time to work on course assignments regularly; there is a lot of material to cover, so students who try to put off the work and catch up later will find it difficult to do so.

Students must remember that cheating is unacceptable. Studying with other students is certainly acceptable, as is getting help from the instructor or a tutor. However, having someone else do your work for you or copying answers from someone else is cheating. If students are found to be cheating, a grade of "0" will be given for each of the assignments on which cheating occurred. Also remember that if someone else copies your answers, you are both guilty of cheating and will be punished equally.

The student is expected to respond to instructor-initiated communication within 48 hours.

The student must use the Show/NoShow check in tool in Canvas to "check-in" to the course. By "checking-in" the student will be marked as a Show and financial aid will be released.

 

Course Assignments

Course Policy/Syllabus Quiz

There is a Course Policy/Syllabus Quiz found in Canvas which should be completed as soon as possible once the semester begins. Students must score 100% on this quiz; the quiz may be re-taken until a score of 100% is achieved. When a student scores 100%, student will gain access to Pearson's MyLab Math.  Students will have no access to the course materials in Pearson’s MyLab Math until the Course Policy/Syllabus Quiz has been completed with a score of 100%.

 

Assessments

There will be twelve assessments in this course. These Assessments are worth 80% of the overall grade.

Assessments will be proctored virtually online using Pearson’s lockdown browser and Respondus as a proctor.  Pearson’s lockdown browser will need to be downloaded to your computer.  Due to limitations in Pearson, Chromebooks, iPads and mobile devices are not compatible with the lockdown browser.  If you have a Chromebook, iPad or are using a mobile device, you will need to contact the instructor immediately to find a solution for proctoring the Assessments. There is a two-hour time limit on the assessments and they must be completed in one sitting.

Respondus statement:

This course uses the Respondus online proctoring tool for several of the Mastery Assessments.  Specifics for using Respondus will be outlined in the Canvas course.   

 

RedShelf/Inclusive Access:

This course uses RedShelf/Inclusive Access to provide students with instant access to their e-textbooks.  The cost of the e-textbooks will be billed directly to the student’s TSTC student account.  Instructions for opting out of RedShelf/Inclusive Access are included in the Canvas course.

This course must be completed in 15 weeks. This is not a work at your own pace course, however if a student wants to work ahead and complete the course early, they may. There are set due dates for each Assessment.  A calendar with due dates can be found in Canvas and Pearson’s MyLab Math for each Assessment. All Assessments will have two attempts. Before initiating your second attempt, it is recommended to with your instructor if you received below a 60% as this will be your FINAL attempt. The student is allowed to use one 8.5 X 11-inch sheet of paper of personal notes to be used as a memory jogger during the Assessment and a dedicated hand-held calculator. You will not be allowed to utilize the calculator on your cell phone, an online calculator, or other calculating devices; your calculator must be an actual calculator. 

All Assessments will have two attempts.

For each Assessment the student will find in MyLab Math, “Check for Understanding” assignments.  These Check for Understanding count as 20% of the overall grade, can be taken as often as needed and are examples of what the student will be tested over in the Assessments. Prior to taking the Assessment, the student should take the time to complete the “Check for Understanding” assignments in order to be successful on the Assessment. These assignments have due dates.

Both the Assessments and the Check for Understanding will be accept up to a week late in the course with a 20% penalty.

At the discretion of your instructor, late work beyond the allotted time may or may not be accepted and further penalties could apply.

 

Important Dates

11th Day of Class – Census Date – January 24, 2023

Last Day to Drop with "W" - March 31, 2023