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Texas State Technical College
Course Syllabus Course Rubric Number Section:
MATH 1314 2001
Lecture‐Lab‐Credit:
3‐0‐3
CIP Code:
27.0101
Course Title:
College Algebra
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(41480); Minimum grade C,CR; # Take QTEST‐M195 QTEST‐M220 or
QTEST‐M200; # Take QTEST‐M250; # Take QTEST‐STM1; Co‐requisites:
None
Course Meets:
0DLC O
Instructor:
Mehrdad Hosseinpour
Office Phone Number:
(956)364-4827
Email Address:
Office Fax Number:
N/A
Building & Office Room Number:
Harlingen campus Building W RM 312
Office Hours:
Monday & Wednesdays 9:00-10:00 Tuesdays & Thursdays 8:00-9:30
Approved by: Date:
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
TSTC Grading Policy (Grades for all WECM courses must be C or better) Grade Percent Description Grade Points
Excellent/Superior A 90-100 Performance 4
Level
Above Required
B 80-89 Performance 3
Level
Minimum
C 70-79 Required 2 Performance
Level
Below Required
D 60-69 Performance 1
Level
F Below Failure to meet
0
60 Performance
Requirements
IP -- In Progress
W -- Withdrawal 0
CR -- Credit 0
AUD -- Audit of Course 0
See College Catalog for complete descriptions.
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
Disability Services Any student who, because of a disability, may require special accommodations in order to meet the course requirements, should contact
the Disability Services office, as soon possible, to make necessary arrangements. Please note that instructors are not allowed to provide
classroom accommodation to a student until appropriate verification from the Disability Services office has been provided.
Abilene Campus Fort Bend Campus
Sweetwater Campus
Susan Hash
Georgeann Calzada Patricia Carpio
Advising and Testing Office
Industrial Technology Center Rm. Disability Services
Abilene Main Campus Bldg. Rm. 112 108
Lance Sears Building Rm. 137A
325-734-3641 346-239-3422
325-235-7441
Breckenridge Campus Harlingen Campus North Campus
Lisa Langford Corina De La Rosa Amanda Warren
Testing and Advisement located in Disabilities Services Student Services Office
The Main Building Rm. 103 Student Support Services 972-617-4724
254-559-7731 Student Services Bldg. Rm. 216
956-364-4521
Brownwood Campus Marshall Campus
Waco Campus
Nicole Whitley Annette Ellis
Marilyn Harren
Testing and Advisement Administration and Admissions Rm. Disabilities Services Office
Building 2 Rm. 120 150
Student Services Center Rm. 198
325-641-5955 909-923-3313
254-867-3600
Williamson County
Chemese Armstrong
Enrollment Services Rm. B113C
512-759-5907
Resources
Textbooks & Publications:
Item Title Author Publisher Edition ISBN
1 College Algebra Blitzer Pearson 7th 978‐0134757926
Software Only
Grade Scheme
Category Description Category Value
Assignments 15%
Activity Label: Activity Description Activity Value
Assignment 1: 1.1 Graphs and Graphing Utilities 0.42%
Assignment 2: 1.2 Linear Equations and Rational Equations 0.42%
Assignment 3: 1.3 Models and Applications 0.42%
Assignment 4: 1.4 Complex Numbers 0.42%
Assignment 5: 1.5 Quadratic Equations 0.42%
Assignment 6: 1.6 Other Types of Equations 0.42%
Assignment 7: 1.7 Linear Inequalities and Absolute Value Inequalities 0.42%
Assignment 8: 2.1 Basics of Functions and Their Graphs 0.42%
Assignment 9: 2.2 More on Functions and Their Graphs 0.42%
Assignment 10: 2.3 Linear Functions and Slope 0.42%
Assignment 11: 2.4 More on Slope 0.42%
Assignment 12: 2.5 Transformations of Functions 0.42%
Assignment 13: 2.6 Combinations of Functions; Composite Functions 0.42%
Assignment 14: 2.7 Inverse Functions 0.42%
Assignment 15: 2.8 Distance and Midpoint Formulas; Circles 0.42%
Assignment 16: 3.1 Quadratic Functions 0.42%
Assignment 17: 3.2 Polynomial Functions and Their Graphs 0.42%
Assignment 18: 3.3 Dividing Polynomial; Remainder and Factor Theorems 0.42%
Assignment 19: 3.4 Zeros of Polynomial Functions 0.42%
Assignment 20: 3.5 Rational Functions and Their Graphs 0.42%
Assignment 21: 3.6 Polynomial and Rational Inequalities 0.42%
Assignment 22: 4.1 Exponential Functions 0.42%
Assignment 23: 4.2 Logarithmic Functions 0.42%
Assignment 24: 4.3 Properties of Logarithms 0.42%
Assignment 25: 4.4 Exponential and Logarithmic Equations 0.42%
Assignment 26: 4.5 Exponential Growth and Decay 0.42%
Assignment 27: 5.1 Systems of Linear Equations in Two Variables 0.42%
Assignment 28: 5.2 Systems of Linear Equations in Three Variables 0.42%
Assignment 29: 5.4 Systems of Nonlinear Equations in Two Variables 0.42%
Assignment 30: 5.5 Systems of Inequalities 0.42%
Assignment 31: 5.6 Linear Programming 0.42%
Assignment 32: 6.1 Matrix Solutions to Linear Systems 0.42%
Assignment 33: 6.2 Inconsistent and Dependent Systems and Their Applications 0.42%
Assignment 34: 6.3 Matrix Operations and Their Applications 0.42%
Assignment 35: 6.4 Multiplicative Inverses of Matrices and Matrix Equations 0.42%
Assignment 36: 6.5 Determinants and Cramer's Rule 0.42%
Category Description Category Value
Quizzes 20%
Activity Label: Activity Description Activity Value
Syllabus Quiz: Syllabus Quiz 0.1%
Quiz 1: Chapter 1 Quiz 3.33%
Quiz 2: Chapter 2 Quiz 3.33%
Quiz 3: Chapter 3 Quiz 3.33%
Quiz 4: Chapter 4 Quiz 3.33%
Quiz 5: Chapter 5 Quiz 3.33%
Quiz 6: Chapter 6 Quiz 3.33%
Category Description Category Value
Tests 65%
Activity Label: Activity Description Activity Value
Test1 Chapter1 ( unit 1) 7.5%
Test 2 Chapter2(unit2) 7.5%
Test 3 Chapter3(unit3) 7.5%
Test 4 Chapter4(unit4) 7.5%
Test5 Chapter5(unit5) 7.5
Test6 Chapter6(unit6) 7.5
Exam 2: Final Exam 20.00%
A = 100‐90 B = 89‐80 C = 79‐70 D = 69‐60 F = 59‐0
Description of Graded Elements of the Course
Activity Label Activity Description/Course outcomes met
Activity Value % of Final
in Percent Grade
Syllabus Quiz Syllabus Quiz 3.33 3.33%
Course outcomes met: CO1
Assignment 1 1.1 Graphs and Graphing Utilities 0.42 0.42%
Course outcomes met: CO1
Assignment 2 1.2 Linear Equations and Rational Equations 0.42 0.42% Course outcomes met: CO2
Assignment 3 1.3 Models and Applications 0.42 0.42%
Course outcomes met: CO2
Assignment 4 1.4 Complex Numbers 0.42 0.42%
Course outcomes met: CO2
Assignment 5 1.5 Quadratic Equations 0.42 0.42%
Course outcomes met: CO2
Assignment 6 1.6 Other Types of Equations 0.42 0.42%
Course outcomes met: CO2
Assignment 7 1.7 Linear Inequalities and Absolute Value Inequalities 0.42 0.42%
Course outcomes met: CO2
Quiz 1 Chapter 1 Quiz 3.33 3.33%
Course outcomes met: CO1, CO2
Assignment 8 2.1 Basics of Functions and Their Graphs 0.42 0.42%
Course outcomes met: CO1
Assignment 9 2.2 More on Functions and Their Graphs 0.42 0.42%
Course outcomes met: CO3
Assignment 10 2.3 Linear Functions and Slope 0.42 0.42%
Course outcomes met: CO3
Assignment 11 2.4 More on Slope 0.42 0.42%
Course outcomes met: CO3
Assignment 12 2.5 Transformations of Functions 0.42 0.42%
Course outcomes met: CO3
Assignment 13 2.6 Combinations of Functions; Composite Functions 0.42 0.42%
Course outcomes met: CO1
Assignment 14 2.7 Inverse Functions 0.42 0.42%
Course outcomes met: CO1
Assignment 15 2.8 Distance and Midpoint Formulas; Circles 0.42 0.42%
Course outcomes met: CO1
Quiz 2 Chapter 2 Quiz 3.33 3.33%
Course outcomes met: CO1, CO3
Assignment 16 3.1 Quadratic Functions 0.42 0.42%
Course outcomes met: CO3
Assignment 17 3.2 Polynomial Functions and Their Graphs 0.42 0.42%
Course outcomes met: CO3
Assignment 18 3.3 Dividing Polynomial; Remainder and Factor Theorems 0.42 0.42%
Course outcomes met: CO4
Assignment 19 3.4 Zeros of Polynomial Functions 0.42 0.42%
Course outcomes met: CO4
Assignment 20 3.5 Rational Functions and Their Graphs 0.42 0.42%
Course outcomes met: CO3
Assignment 21 3.6 Polynomial and Rational Inequalities 0.42 0.42%
Course outcomes met: CO4
Quiz 3 Chapter 3 Quiz 3.33 3.33%
Course outcomes met: CO3, CO4
Exam 1 Mid‐Term Exam 25.00 25.00%
Course outcomes met: CO1, CO2, CO3, CO4
Assignment 22 4.1 Exponential Functions 0.42 0.42%
Course outcomes met: CO2
Assignment 23 4.2 Logarithmic Functions 0.42 0.42%
Course outcomes met: CO2
Assignment 24 4.3 Properties of Logarithms 0.42 0.42%
Course outcomes met: CO2
Assignment 25 4.4 Exponential and Logarithmic Equations 0.42 0.42%
Course outcomes met: CO2
Assignment 26 4.5 Exponential Growth and Decay 0.42 0.42%
Course outcomes met: CO2
Quiz 4 Chapter 4 Quiz 3.33 3.33%
Course outcomes met: CO2
Assignment 27 5.1 Systems of Linear Equations in Two Variables 0.42 0.42%
Course outcomes met: CO2
Assignment 28 5.2 Systems of Linear Equations in Three Variables 0.42 0.42%
Course outcomes met: CO2
Assignment 29 5.4 Systems of Nonlinear Equations in Two Variables 0.42 0.42%
Course outcomes met: CO2
Assignment 30 5.5 Systems of Inequalities 0.42 0.42%
Course outcomes met: CO2
Assignment 31 5.6 Linear Programming 0.42 0.42%
Course outcomes met: CO2
Quiz 5 Chapter 5 Quiz 3.33 3.33%
Course outcomes met: CO2
Assignment 32 6.1 Matrix Solutions to Linear Systems 0.42 0.42%
Course outcomes met: CO5
Assignment 33 6.2 Inconsistent and Dependent Systems and Their Applications 0.42 0.42%
Course outcomes met: CO5
Assignment 34 6.3 Matrix Operations and Their Applications 0.42 0.42%
Course outcomes met: CO5
Assignment 35 6.4 Multiplicative Inverses of Matrices and Matrix Equations 0.42 0.42%
Course outcomes met: CO5
Assignment 36 6.5 Determinants and Cramer's Rule 0.42 0.42%
Course outcomes met: CO5
Quiz 6 Chapter 6 Quiz 3.33 3.33%
Course outcomes met: CO5
Exam 2 Final Exam 25.00 25.00%
Course outcomes met: CO2, CO5
100.00 100.00%
Course Schedule
Unit/ Unit Description/Objectives Activity Label:Description Due Date
Week
1 Introduction to the course. The student will be required to read the syllabus, take a syllabus quiz and make a grade of 100 on the quiz, before any of
the course material will become available to the student.
Understand the design and grading for the course Syllabus Quiz: Syllabus Quiz 01/08/2018
2 Unit 1: The student will be introduced to, complete assignments and a quiz pertaining to equations and inequalities. The topics will include but are not
limited to graphs and graphing utilities, linear equations and rational equations, models and applications, complex numbers, quadratic equations, other
types of equations, and linear inequalities and absolute value inequalities.
Plot points in the rectangular coordinate system Graph equations in the rectangular coordinate system
Interpret information about a graphing utility's viewing rectangle or table
Use a graph to determine intercepts Solve linear equations in one variable Solve linear equations containing fractions Solve rational equations with variables in the
denominators Use linear equations to solve problems Add and subtract complex numbers Multiply complex numbers Divide complex numbers Perform operations with square roots of
negative numbers Solve quadratic equations by factoring Solve quadratic equations by the square root property Solve quadratic equations by completing the square Solve quadratic equations using the quadratic formula Use the discriminant to determine the number and type
of solutions
Assignment 1: 1.1 Graphs and Graphing Utilities 01/15/2018
Assignment 2: 1.2 Linear Equations and Rational Equations 01/15/2018
Assignment 3: 1.3 Models and Applications 01/15/2018
Assignment 4: 1.4 Complex Numbers 01/15/2018
Assignment 5: 1.5 Quadratic Equations 01/17/2018
Assignment 6: 1.6 Other Types of Equations 01/17/2018
Assignment 7: 1.7 Linear Inequalities and Absolute Value 01/17/2018
Inequalities Quiz 1: Chapter 1 Quiz
Test Chapter1 01/17/2018 T
Determine the most efficient method to use when
solving a quadratic equation
Solve polynomial equations by factoring Solve radical equations Solve equations with rational exponents Solve equations that are quadratic in form
Solve equations involving absolute value Use interval notation Find intersections and unions of intervals Solve linear inequalities Recognize inequalities with no solution or all real
numbers as a solution Solve compound inequalities Solve absolute value inequalities
3 Unit 2: The student will be introduced to, complete assignments and a quiz pertaining to functions and graphs. The topics will include but are not limited
to basics of functions and their graphs, more on functions and their graphs, linear functions and slope, more on slope, transformations of functions,
combinations of functions, composite functions, inverse functions, distant and midpoint formulas, and circles.
Find the domain and range of a relation Determine whether a relation is a function Determine whether an equation represents a function Evaluate a function Use the vertical line test to identify functions Obtain information about a function from its graph Identify the domain and range of a function from
its graph Identify intercepts from a function's graph Identify intervals on which a function increases,
decreases, or is constant Understand and use piecewise functions Find and simplify a function's difference quotient Calculate a line's slope Write the point‐slope form of the equation of a line Write and graph the slope‐intercept form of the equation
of a line Graph horizontal or vertical lines Recognize and use the general form of a line's equation
Assignment 8: 2.1 Basics of Functions and Their Graphs 02/09/2018
Assignment 9: 2.2 More on Functions and Their Graphs 02/09/2018
Assignment 10: 2.3 Linear Functions and Slope 02/09/2018
Assignment 11: 2.4 More on Slope 02/09/2018
Assignment 12: 2.5 Transformations of Functions 02/09/2018
Assignment 13: 2.6 Combinations of Functions; Composite 02/09/2018
Functions
Assignment 14: 2.7 Inverse Functions 02/09/2018
Assignment 15: 2.8 Distance and Midpoint Formulas; Circles 02/09/2018
Quiz 2: Chapter 2 Quiz 02/09/2018
Test Chapter2
Use intercepts to graph the general form of a
line's equation
Find slopes and equations of parallel and perpendicular lines
Recognize graphs of common functions Use vertical shifts to graph functions Use horizontal shifts to graph functions Use reflections to graph functions Use vertical stretching and shrinking to graph functions Use horizontal stretching and shrinking to graph
functions Graph functions involving a sequence of transformations Combine functions using the algebra of functions Form composite functions Verify inverse functions Find the inverse of a function Find the distance between two points Find the midpoint of a line segment Write the standard form of a circle's equation Give the center and radius of a circle whose equation is in
standard form 4 Unit 3: The student will be introduced to, complete assignments and a quiz pertaining to polynomial and rational functions. The topics will include but are
not limited to quadratic functions, polynomial functions and their graphs, dividing polynomials, remainder and factor theorems, zeros of polynomial
functions, rational functions and their graphs, and polynomial and rational inequalities.
Recognize characteristics of parabolas Graph parabolas Determine a quadratic function's minimum or maximum
value Determine end behavior Use factoring to find zeros of polynomial functions Identify zeros and their multiplicities Use the Intermediate Value Theorem
Understand the relationship between degree and turning points
Graph polynomial functions Use long division to divide polynomials
Assignment 16: 3.1 Quadratic Functions 02/23/2018
Assignment 17: 3.2 Polynomial Functions and Their Graphs 10/16/2017
Assignment 18: 3.3 Dividing Polynomial; Remainder and Factor 10/16/2017
Theorems
Assignment 19: 3.4 Zeros of Polynomial Functions 10/16/20107
Assignment 20: 3.5 Rational Functions and Their Graphs 02/23/2018
Assignment 21: 3.6 Polynomial and Rational Inequalities 02/23/2018
Use synthetic division to divide polynomials Quiz 3: Chapter 3 Quiz 02/26/2018
Test Chapter3 Evaluate a polynomial using the Remainder Theorem Use the Rational Zero Theorem to find possible
rational zeros Find zeros of a polynomial function Solve polynomial equations Use the Linear Factorization Theorem to find
polynomials with given zeros Use Descartes's Rule of Signs Identify vertical asymptotes Identify horizontal asymptotes Graph rational functions Identify slant asymptotes Solve polynomial inequalities Solve rational inequalities
5 Mid‐Term Exam: The student will review for and take the mid‐term exam at a testing center.
Review for mid‐term exam Exa: Mid‐Term Exam 02/27/2017
6 Unit 4: The student will be introduced to, complete assignments and a quiz pertaining to exponential and logarithmic functions. The topics will included but
are not limited to exponential functions, logarithmic functions, properties of logarithms, exponential and logarithmic equations, and exponential growth and
decay.
Evaluate exponential functions Graph exponential functions Use compound interest formulas Change from logarithmic to exponential form
Change from exponential to logarithmic form
Evaluate logarithms Use the product rule Use the quotient rule Use the power rule Expand logarithmic expressions Condense logarithmic expressions Use the change‐of‐base property Use like bases to solve exponential equations Use logarithms to solve exponential equations
Assignment 22: 4.1 Exponential Functions 03/18/2018
Assignment 23: 4.2 Logarithmic Functions 03/18/2018
Assignment 24: 4.3 Properties of Logarithms 03/18/2018
Assignment 25: 4.4 Exponential and Logarithmic Equations 03/18/2018
Assignment 26: 4.5 Exponential Growth and Decay 03/18/2018 Quiz 4: Chapter 4 Quiz Test Chapter 4 03/18/2018
7
Use the definition of logarithms to solve
logarithmic equations
Model exponential growth and decay Unit 5: The student will be introduced to, complete assignments and a quiz pertaining to systems of equations and inequalities. Topics will include but are
not limited to systems of linear equations in two variables, systems of linear equations in three variables, systems of nonlinear equations in two variables,
systems of inequalities, and linear programming.
Solve linear systems by substitution Solve linear systems by addition Solve systems of linear equations in three variables Solve nonlinear systems by substitution Solve nonlinear systems by addition Graph a linear inequality in two variables Graph a nonlinear inequality in two variables Use inequalities to describe limitations in a situation
Assignment 27: 5.1 Systems of Linear Equations in Two Variables 03/30/2018
Assignment 28: 5.2 Systems of Linear Equations in Three Variables 03/30/2018
Assignment 29: 5.4 Systems of Nonlinear Equations in Two 03/30/2018
Variables
Assignment 30: 5.5 Systems of Inequalities 03/30/2018
Assignment 31: 5.6 Linear Programming 03/30/2018
8
Quiz 5: Chapter 5 Quiz Test Chapter 5 03/30/2018
Unit 6: The student will be introduced to, complete assignments and a quiz pertaining to matrices and determinants. Topics will include but are not limited to
matrix solutions to linear systems, inconsistent and dependent systems, matrix operations, multiplicative inverses of matrices and matrix equations, and
determinants and Cramer's rule.
Write the augmented matrix for a linear system Perform matrix row operations Use matrices and Gaussian elimination to solve systems Use matrices and Gauss‐Jordan elimination to
solve systems Apply Gaussian elimination to systems without unique
solutions Use matrix notation Understand what is meant by equal matrices Add and subtract matrices Perform scalar multiplication Solve matrix equations Multiply matrices
Assignment 32: 6.1 Matrix Solutions to Linear Systems 04/11/2018
Assignment 33: 6.2 Inconsistent and Dependent Systems and Their 04/11/2018
Applications
Assignment 34: 6.3 Matrix Operations and Their Applications 04/11/2018
Assignment 35: 6.4 Multiplicative Inverses of Matrices and Matrix 04/11/2018
Equations
Assignment 36: 6.5 Determinants and Cramer's Rule 04/11/2018
Find the multiplicative inverse of a square matrix Quiz 6: Chapter 6 Quiz Chapter6 test 04/11/2018
Use inverses to solve matrix equations
Evaluate determinants
Solve a system of linear equations using Cramer's Rule
9 Final Exam: The student will review for and take the final exam at a testing center.
Review for final exam Exam 2: Final Exam 04/25/2018
Course Policies:
College courses are intense, and 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 materials. Please pick days and times—
three or four days a week for two to three hours each day—to work on this course. The online student can expect to spend
10 to 15 hours each week on course material.
In order for the student to be successful in the course, the student must complete homework assignments, quizzes, a
proctored chapter tests , and a proctored final exam.
The material in the course has been separated into six units. Each unit has multiple homework assignments and a quiz that
need to be completed. At the completion of each Unit there is a test.
3) . At the completion of the Units, there is a final examination (a comprehensive examination covering all the units)
that must be taken in the lab.
In each unit of study, there will be homework assignments which have a designated due date. These assignments may be
attempted as many times as desired, with the highest grade on each assignment being recorded in the official grade book.
Each learning unit will also have a unit quiz. The quiz may be attempted thrice.
All students are required to purchase access to Pearson’s MyMathLab. MyMathLab is an internet-based learning management
system and only requires internet access. All assignments—homework assignments, quizzes, and examinations—will be completed
in MyMathLab; thus, a student who does not have access to MyMathLab cannot complete any of the coursework related to this
class. With the purchase of access to MyMathLab, the student will also have access to an ebook, notes, videos and other
instructional materials provided by Pearson.
All correspondence with students will be initiated using the student's TSTC MyMail account. If a student needs to reach the
instructor, they can email the instructor or contact the instructor at their office either by phone or stopping by during the
instructor’s posted office hours.
For technical support, students can contact Pearson at 1-888-695-6577. Students may also contact the TSTC HelpDesk at 1-
800-592-8784, or via email at [email protected].