20
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: [email protected]

Texas State Technical College Course Syllabus 80-89 Performance 3 Level Minimum C 70-79 Required 2 ... Test 2 Chapter2(unit2) 7.5% Test 3 Chapter3(unit3) ... Quiz 2 Chapter 2 Quiz

  • Upload
    hanhi

  • View
    216

  • Download
    1

Embed Size (px)

Citation preview

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:

[email protected]

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%

Total Activity 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

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].