Syllabus

NORTH CENTRAL TEXAS COLLEGE

COURSE SYLLABUS

 

 

COURSE AND INSTRUCTOR INFORMATION

 

 

 

Course title:  College Algebra

Course prefix, number, and section number:  MATH 1314 504

Semester/Year of course:  Spring 2023

Semester start and end dates: 1/17/2023 – 5/13/2023 (16-week session)

                                                         

Modality:  Face to face

Class meeting location, days, and times: T/TH 9:30-10:50

 

Semester credit hours:  3 (Lecture hours: 48)

 

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.

 

Course prerequisites:  Meet TSI college-readiness standard for College Algebra or equivalent

 

Required course materials: 

Registration in the course gives you the access code to the online learning platform and e-book needed for MATH 1314 (MyLab Math).  You do not need to purchase a separate access code.  Instructions can be found in a separate document on the Course Homepage. (see * Follett ACCESS below for more information)

 

Scientific calculator, TI-30X IIS is recommended

Graphing calculators and phone calculators will not be allowed on exams.

 

Optional course materials:  College Algebra, Lial/Hornsby/Schneider/Daniels, 13th edition, Pearson, 2021

 

Name of instructor: Cary Crawford

Office location: Flower Mound Campus, Room 107 (Faculty Offices)

Telephone number:

E-mail address: ccrawford@nctc.edu

Office hours for students: MW 10-12:30, T/TH 11-1:30

STUDENT HOURS (OFFICE HOURS)

Each week I have time set aside to meet with students outside of class. USE THIS TIME to get help on homework, ask questions, get clarification with me.  If you need help outside of this time, we can set up a time on Webex to meet.  Email me to set up a time.

 

 

MATH TUTORING LAB

 

Students who need help with any math class can visit the NCTC Mathematics Lab to receive assistance.  There are math tutors available on every campus and online.  This service is free for all students enrolled in an NCTC math class. Sign up for an appointment or see the most current tutoring hours for all campuses at https://www.nctc.edu/math-lab.  

 

SYLLABUS CHANGE DISCLAIMER

 

The faculty member reserves the right to make changes to this published syllabus if it is in the best interest of the educational development of this class. Any such changes will be announced as soon as possible in person and/or writing.

 

SUMMARY OF COURSE ASSIGNMENTS

 

Assignment      Due Date

             

1.1 Solving Linear Equations                                              Jan 19

1.2 Mixture and Motion Problems                                   Jan 22

1.3 Complex Numbers                                                                        Jan 22

Quiz 1 (1.1-1.3)                                                                       Jan 24

1.4 Quadratic Equations                                                     Jan 26

1.5 Quadratic Applications                                                 Jan 29

1.6 Rational and Radical Equations                                 Jan 29

1.7 Inequalities                                                                      Feb 2

1.8 Absolute Value Equations and Inequalities           Feb 2

Quiz 2 (1.4-1.8)                                                                       Feb 5

EXAM 1 (1.1-1.8)                                                                    Feb 7

             

2.1 Distance Formula                                                           Feb 12

2.2 Circles                                                                                 Feb 14

2.3 Functions                                                                          Feb 16

2.4 Slope And Graphing                                                       Feb 19

Quiz 3 (2.1-2.4)                                                                       Feb 21

2.5 Writing Equations of Lines                                           Feb 19

2.6 Parent Functions and Piecewise Functions            Feb 23

Graph Shifting – OFFLINE, DUE IN CLASS                       Feb 28

2.7 Transformations                                                             Feb 26

2.8 Composite Functions and Difference Quotient    Feb 26

Quiz 4 (2.5-2.8)                                                                       Feb 28

EXAM 2 (2.1-2.8)                                                                    Mar 2

             

3.1 Quadratic Functions and Graphing                           Mar 9

3.2 Synthetic Division; Remainder Theorem                Mar 9

3.3 Factor Theorem                                                              Mar 19

3.4 Polynomial Graphs                                                         Mar 23

Quiz 5 (3.1-3.3)                                                                       Mar 21

Polynomial Graphing – OFFLINE, DUE IN CLASS          Mar 23

3.5 Rational Graphs                                                              Mar 23

Rational Graphing – OFFLINE, DUE IN CLASS                Mar 23

3.7 Variation                                                                           Mar 26

4.1 Inverse Functions                                                           Mar 26

4.2 Exponential Functions                                                  Mar 28

Quiz 6 (3.4-4.2)                                                                       Mar 28

Exponential Graphing – OFFLINE, DUE IN CLASS         Mar 30

EXAM 3 (3.1-3.6, 4.1-4.2)                                                    Mar 30

             

4.3 Logarithmic Functions                                                  Apr 6

4.4 Logs with Calculators; Change of Base Rule          Apr 9

4.5 Exponential and Logarithmic Equations                 Apr 11

4.6 Log Applications                                                             Apr 13

Quiz 7 (4.3-4.6)                                                                       Apr 16

5.1 Solving Systems – Substitution and Elimination  Apr 18

5.5 Non – Linear Systems                                                    Apr 20

5.2 Solving Systems with Matrices                                   Apr 20

5.7 Matrix Properties, Operations                                   Apr 23

5.3 Determinants and Cramer’s Rule                              Apr 25

7.1 Sequences, Sums, Sigma Notation                           Apr 27

Quiz 8 (5.1-5.3, 5.5, 5.7, 7.1)                                              Apr 30

EXAM 4 (4.3-7.1)                                                                    May 2

             

Final (Comprehensive)                                                         May 11 (9:30)

 

Homework: 10%

Quizzes: 15%

Exams: 75%

 

Final grade scale:  90 – 100% = A;   80 – 89% = B; 70 – 79% = C;  60 – 69% = D;  Below 60% = F

*The final exam is a departmental comprehensive algebra exam and must be taken by all students. The final exam may also be used to replace the lowest unit test grade.

 

Late work policy:  Late homework will be counted off 20% regardless of how late it is.  It is important to do/keep up with homework to practice for exams.  NO LATE QUIZZES will be accepted.  I will allow one makeup exam IF I AM NOTIFIED AHEAD OF TIME.

 

SEE CANVAS FOR THE COMPLETE COURSE CALENDAR, OUTLINE, DETAILED DESCRIPTION OF GRADED WORK, AND OTHER RELATED MATERIAL.

 

COURSE POLICIES

 

 

Academic Integrity Policy:

Scholastic dishonesty shall include, but is not limited to cheating, plagiarism, academic falsification, intellectual property dishonesty, academic dishonesty facilitation, and collusion.  The use of online math solvers with submitted work is considered academic dishonesty.  Faculty members may document and bring charges against a student who is engaged in or is suspected to be engaged in academic dishonesty.  See Student Handbook, “Student Rights & Responsibilities: Student Code of Conduct ([FLB(LOCAL)]”.  

Consequences for academic dishonesty may include:

  1. Zero on the assignment
  2. Failing grade for the course

 

Attendance Policy:

Regular attendance is expected and necessary for student success in this course. For more information on attendance regulations please see the 2022-2023 NCTC Catalog.  (https://www.nctc.edu/catalog; Click on 2022-2023 CATALOG and go to page 138 to see Attendance Regulations)

 

Withdrawal Policy

A student may withdraw from a course on or after the official date of record. It is the student’s responsibility to initiate and complete a Withdrawal Request Form.

Last day to withdraw from a 16-week course with a “W” is: Monday, April 3, 2023

 

Student Learning Outcomes:  At the successful completion of this course the student will be able to:

  1. Demonstrate and apply knowledge of properties of functions, including domain and range, operations, compositions, and inverses.
  2. Recognize and apply polynomial, rational, radical, exponential and logarithmic functions and solve related equations.
  3. Apply graphing techniques.
  4. Evaluate all roots of higher degree polynomial and rational functions.
  5. Recognize, solve, and apply systems of linear equations using matrices.

 

Core Objectives:

X            Critical Thinking

X            Communication

X            Empirical and Quantitative

Teamwork

Personal Responsibility

Social Responsibility

 

COLLEGE POLICIES

 

 

STUDENT HANDBOOK

Students are expected to follow all rules and regulations found in the Student Handbook.

To access Student Handbook go to NCTC homepage (www.nctc.edu), scroll to bottom and click “Student Handbook”.

 

ADA STATEMENT

NCTC will adhere to all applicable federal, state and local laws, regulations and guidelines with respect to providing reasonable accommodations to afford equal educational opportunity. It is the student’s responsibility to contact the Office for Students with Disabilities to arrange appropriate accommodations.  See the OSD Syllabus Addendum.


STUDENT SERVICES

NCTC provides a multitude of services and resources to support students.  See the Student Services Syllabus Addendum for a listing of those departments and links to their sites.

 

* Follett ACCESS

Follett ACCESS is a partnership between the NCTC Bookstore and Pearson Education to provide the best learning resources on the first day of class. Students can gain access to Pearson’s adaptive online platform with the latest version of the eBook at a discount. If students would like to purchase a physical copy of the textbook, they can order it through the bookstore.

 

Students who drop before the add/drop date will have their book fees credited back to their student account, and students who remain in the course will be charged a materials fee by the school to have continued access of the online platforms.  If you remain enrolled in the course but wish to opt-out of access to the book please email the NCTC Bookstore within the first two weeks of class with your name and student number to 1263mgr@follett.com.

.

 

QUESTIONS, CONCERNS, or COMPLAINTS

 

 

 

The student should contact the instructor to deal with any questions, concerns, or complaints specific to the class.  If the student and faculty are not able to resolve the issue, the student may contact the chair or coordinator of the division.  If the student remains unsatisfied, the student may proceed to contact the instructional dean.

 

Name of Chair/Coordinator:  Ben Owens

Office location:  Corinth 175

Telephone number:  940.498.6209

E-mail address:  bowens@nctc.edu

 

Name of Instructional Dean:  Mary Martinson

Office location:  Gainesville 1403

Telephone number:  940.668.7731 ext. 4377

E-mail address:  mmartinson@nctc.edu

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