Spring 2024 Course Syllabus
Course: MATH-1314 (Section: 6B, CRN: 10992) College Algebra |
Instructor Information | |||||||||
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Instructor | Grace Merino | ||||||||
grangerge@lamarpa.edu | |||||||||
Phone | (409) 984-6102 | ||||||||
Office | Madison Monroe Educational - Room: 147A | ||||||||
Office Hours | Location: Room 207 Office Hours: Monday, Tuesday, Thursday, Friday during 4th and 5th period |
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Additional Contact Information | *Students, please use my Bob Hope email (grace.merino@bobhopeschool.org) and do not use my Lamar email. | ||||||||
Course Information | |||||||||
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. | ||||||||
Required Textbooks |
Textbook Purchasing Statement: A student attending Lamar State College Port Arthur is not under any obligation to purchase a textbook from the college-affiliated bookstore. The same textbook may also be available from an independent retailer, including an online retailer.
None |
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Additional Materials/Resources |
Required Materials
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Corequisites/Prerequisites | TSIA2 complete in Mathematics">TSIA2 complete in Mathematics">TSIA2 complete in Mathematics | ||||||||
Learning Outcomes |
Upon successful completion of this course, students will: 1. Demonstrate and apply knowledge of properties of functions, including domain and range, operations, compositions, and inverses. This will be measured by embedded questions in tests, quizzes, and homework. (PSLO 1, 3) 2. Recognize and apply polynomial, rational, radical, exponential and logarithmic functions and solve related equations. This will be measured by embedded questions in tests, quizzes, and homework. (PSLO 1, 3) 3. Apply graphing techniques. This will be measured by embedded questions in tests, quizzes, and homework. (PSLO 3) 4. Evaluate all roots of higher degree polynomial and rational functions. This will be measured by embedded questions in tests, quizzes, and homework. (PSLO 1, 2, 3) 5. Recognize, solve and apply systems of linear equations using matrices. This will be measured by embedded questions in tests, quizzes, and homework. (PSLO 3) |
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Core Objectives |
PSLO 1: Critical Thinking Skills: Students will engage in creative and/or innovative thinking, and/or inquiry, analysis, evaluation, synthesis of information, organizing concepts and constructing solutions. PSLO 2: Communication skills: Students will demonstrate effective written, oral and visual communication. PSLO 3: Empirical and Quantitative Skills: Students will demonstrate applications of scientific and mathematical concepts. |
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Lecture Topics Outline |
Week 1 – linear equations in one variable, linear inequalities in one variable, types of linear equations, solving linear and absolute value equations, applications of linear equations, linear inequalities and compound inequalities, absolute value inequalities, applications, graphing solution sets and interval notation. Week 2– the cartesian coordinate system, linear equations in two variables, plotting points, quadrants and axes, missing values, determining ordered pairs that satisfy given equations, finding distance and midpoint, identifying linear equations, standard form of a linear equation, determining intercepts and graphing with intercepts, graphing equations of horizontal and vertical lines. Week 3– slope and forms of linear equations, parallel and perpendicular lines, determining slope and y-intercept, slope intercept form, and graphing, determining whether two lines are parallel, perpendicular, or neither, and finding parallel/perpendicular lines. Review and Exam 1. Week 4 – relations and functions, linear functions, determining domain and range of a graph, relations and functions, vertical line test, function notation and implied domain, finding a linear function for given properties and graphs, identifying slope and y- intercept of linear functions, graphing linear functions. Week 5– greatest common factor (gcf) of a set of terms, factor by grouping, terminology including monomial, binomial, trinomial, polynomial, factoring trinomials, determining the greatest common factor of a set of terms (numeric and variable), factoring a polynomial by finding the greatest common monomial factor, factoring polynomials by grouping, factoring trinomials using gcf and “ac” method. Week 6– review of factoring techniques, solving quadratic equations by factoring, factoring by grouping, difference of squares, sum and difference of cubes, solving by factoring. Review and Exam 2. Week 7– simplifying numerical radicals, identifying if a radical yields a real number, converting between radicals and rational exponents, using the discriminant to determine characteristics of solutions, solving quadratic equations using quadratic formula, vertex of quadratics, vertex form, solving quadratics in vertex form to determine x-intercepts, determining maximum and minimum values of quadratic functions, graphing quadratic functions, applications involving maximization and minimization. Week 8– other common functions, transformations of functions, identify functions of the form 𝑓(𝑥)=𝑎𝑥𝑛, 𝑓(𝑥)=|𝑥|, 𝑓(𝑥)=√𝑥𝑛, 𝑓(𝑥)=1𝑥, piecewise defined functions and their graphs, evaluating piecewise functions, identify graphs of common functions, using transformations (shift, stretch, and reflect) to determine the equation of a function given graphs and attributes, using transformations to graph functions, and determining domain and range. Week 9– Introduction to Rational Expressions, Combining Functions, Identifying restrictions on rational functions, evaluate rational expressions for given values of the variable, reduce rational expressions to lowest terms, Adding, subtracting, multiplying, and dividing various functions, determining domain of combined functions, composing functions, evaluating combined functions for a given value. Review and Exam 3. Week 10– introduction to polynomial equations and graphs, determine if a given value satisfies an equation, solving polynomial equations by means of factoring and the quadratic formula, determining x and y intercepts and graphing polynomials, determining where a function is positive/negative, determining end behavior, leading coefficient, and degree, understanding multiplicity, and solving polynomial inequalities. Week 11– rational functions and rational inequalities, inverses of functions, determining vertical and horizontal asymptotes, graphing rational functions, solving rational inequalities, finding the inverse, domain, and range of discrete functions, determining if an inverse function exists using the horizontal line test and finding the inverse of continuous functions. Week 12– exponents, power rules for exponents, exponential functions and their graphs, power to a power, negative exponents, 0 as an exponent, and writing numbers with different bases, identifying graphs of exponential functions, solving basic exponential equations using one-to-one property. Review and Exam 4. Week 13– logarithmic functions and their graphs, identifying graphs of logarithmic functions, converting between exponential and logarithmic form, solving basic logarithmic equations. Week 14– Systems of Linear Equations, Solutions by Graphing, Solving Systems by Substitution and Elimination, Determining if a coordinate satisfies a system, and solving systems of linear equations by graphing Solving systems of two linear equations by substitution and elimination, dependent and inconsistent systems, writing the solution to dependent systems using set builder notation. Week 15– Review and Exam 5. |
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Major Assignments Schedule |
Homework Sets will be due weekly on Thursdays. Five tests will be periodically spread throughout the course. The final exam (after Exam 5) will be cumulative and will replace your lowest test grade. |
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Final Exam Date | May 8, 2024 - 8:15 AM | ||||||||
Grading Scale | 90 - 100=A 80 - 89=B 70 - 79=C 60 - 69=D Below 59 = F | ||||||||
Determination of Final Grade |
Tests - 60% Homework - 40% |
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Course Policies | |||||||||
Instructor Policies |
CLASS COMMUNICATION
Remind: Join our remind group through the app using this code: @f6a28e6 OR text that code to the phone number 81010 Microsoft Teams: Feel free to send a message any time you have questions. Email: You can also send me questions over email. Please use my BHS email rather than my LSCPA email, as I check it more often. TECHNOLOGY Bob Hope has a NO PHONE policy. ALL students are expected to have their phone, earbuds, and smartwatch silenced and sealed away in their backpack. No phone use is permitted, even for academic purposes. Any phone or smartwatch that is out will be collected and brought to the office. It will cost $15 to get it back at the end of the school day. If you expect important communication from guardians, let me know. However, please inform your guardians of appropriate times to contact you while you are at school. You will be required to show up each day with your chromebook and your charger. Coming unprepared will result in a detention. Additional Information and Resources
Expectations Beginning of class: Be in the room when the bell rings. Go straight to your assigned seat, and read the info board.
During the first 5 minutes of class you are responsible for completing the Do Now. |
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Attendance Policy | All students are expected to come to class on time every time. | ||||||||
Additional Information | None | ||||||||
Institutional Policies | |||||||||
MyLSCPA | Be sure to check your campus email and Course Homepage using MyLSCPA campus web portal. You can also access your grades, transcripts, academic advisors, degree progress, and other services through MyLSCPA. | ||||||||
Academic Honesty | Academic honesty is expected from all students, and dishonesty in any form will not be tolerated. Please consult the LSCPA policies (Academic Dishonesty section in the Student Handbook) for consequences of academic dishonesty. | ||||||||
ADA Considerations | The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehensive civil rights for persons with disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides for reasonable accommodation of their disabilities. If you believe you have a disability requiring an accommodation, please contact the the Office for Disability Services Coordinator, Room 231, in the Madison Monroe Building. The phone number is (409) 984-6241. | ||||||||
COVID 19 Information | The Lamar State College Port Arthur (LSCPA) Student Code of Conduct COVID 19 Policy requires students who have been diagnosed with COVID 19 to report their condition directly to their local health department. Students should also contact their course faculty to report their quarantine status. In addition, this policy requires all students to wear face coverings when directly exposed to COVID 19 in compliance with the criteria included in the policy. For more information please refer to the COVID 19 link on the LSCPA website. | ||||||||
Facility Policies | No food or tobacco products are allowed in the classroom. Only students enrolled in the course are allowed in the classroom, except by special instructor permission. Use of electronic devices is prohibited. | ||||||||
HB 2504 | This syllabus is part of LSCPA's efforts to comply with Texas House Bill 2504. | ||||||||
Mandatory Reporting of Child Abuse and Neglect | As per Texas law and LSCPA policy, all LSCPA employees, including faculty, are required to report allegations or disclosures of child abuse or neglect to the designated authorities, which may include a local or state law enforcement agency or the Texas Department of Family Protective Services. For more information about mandatory reporting requirements, see LSCPA's Policy and Procedure Manual. | ||||||||
Title IX and Sexual Misconduct | LSCPA is committed to establishing and maintaining an environment that is free from all forms of sex discrimination, including sexual harassment, sexual violence, and other forms of sexual misconduct. All LSCPA employees, including faculty, have the responsibility to report disclosures of sexual misconduct, including sexual harassment, sexual assault (including rape and acquaintance rape), domestic violence, dating violence, relationship violence, or stalking, to LSCPA's Title IX Coordinator, whose role is to coordinate the college's response to sexual misconduct. For more information about Title IX protections, faculty reporting responsibilities, options for confidential reporting, and the resources available for support visit LSCPA's Title IX website. | ||||||||
Clery Act Crime Reporting |
For more information about the Clery Act and crime reporting, see the Annual Security & Fire Safety Report and the Campus Security website. |
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Grievance / Complaint / Concern | If you have a grievance, complaint, or concern about this course that has not been resolved through discussion with the Instructor, please consult the Department Chair. | ||||||||
Department Information |
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