NORTH CENTRAL TEXAS COLLEGE
COURSE SYLLABUS
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Course Title:
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Pre-Calculus Math
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Course Modality:
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Synchronous Online & In-Person
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Course Prefix & Number:
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MATH 2412
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Section Number:
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0840
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Class Day/Time:
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M/W/F
9:50 AM - 11:20 AM
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Semester Credit Hours:
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4
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Lecture Hours:
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80
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Semester/Year:
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Spring 2021
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Course Description (NCTC Catalog):
In-depth combined study of algebra, trigonometry, and other topics for calculus readiness.
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Course Prerequisite(s): MATH 1314 College Algebra or the equivalent preparation.
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Required or Recommended Course Materials:
Pre-calculus Author: Edward B. Burger Publisher: Thinkwell 2014. You are required to purchase an access code for the online component. (You can do this thru Canvas)
Calculator - TI-30X IIS or equivalent.
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INSTRUCTOR INFORMATION
Name of Instructor:
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Ming Yang
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Campus/Office Location:
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Online/STEM Academy, room 203
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Office Hours:
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Monday, Wednesday, Thursday 3:00 PM - 3:40 PM
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Telephone Number:
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940-498-6208
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E-mail Address:
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myang@nctc.edu
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OFFICE HOURS
All office hours will be held online this semester. Students can schedule an appointment with their instructor by selecting the Cisco Webex option in Canvas and navigating to the “Office Hour” tab. The times that the instructor is available will be displayed there and a student may schedule a meeting by choosing a time and selecting “Confirm Meeting” at the bottom of the page.
GRADING CRITERIA
# of Graded Course Elements
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Graded Course Elements
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Percentage or Point Values
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36
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Homework
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10%
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14
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Quizzes
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15%
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4
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Tests
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60%
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1
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Final Exam
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15%
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Grade Scale: 90 – 100% = A; 80 – 89% = B; 70 – 79% = C; 60 – 69% = D; Below 60% = F
* THERE WILL BE NO MAKE-UP EXAMS.
The final exam is comprehensive and must be taken by all students. The lowest unit test grade will be replaced by the final exam grade. The final exam will not be dropped. Due dates can be found in Canvas.
COURSE SUBJECT OUTLINE (Major Assignments, Due Dates, and Grading Criteria)
Date
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Topics
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Assignments
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Week 1 – 1/19-1/24
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-8.1 Systems of Two Linear Equations (Review)
-8.2 Nonlinear Systems
-8.3 Modeling with Systems
-8.4 Multivariable Linear Systems
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8.1 Homework
8.2 Homework
8.3 Homework
8.4 Homework
Quiz 1
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Week 2 – 1/25-1/31
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-8.5 Partial Fractions
-9.1 Matrices and Systems of Equations
-11.1 Sequences and Series (review)
-11.2 Arithmetic Sequences
-11.3 Geometric Sequences
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8.5 Homework
9.1 Homework
11.1 Homework
11.2 Homework
11.3 Homework
Quiz 2
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Week 3 – 2/1-2/7
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-3.1 Graphing Rational Functions
-3.2 Parabolas
-3.3 Ellipses
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3.1 Homework
3.2 Homework
3.3 Homework
Quiz 3
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Week 4 – 2/8-2/14
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-3.4 Hyperbolas
-3.5 Translations of Conics
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3.4 Homework
3.5 Homework
Quiz 4
Test 1
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Week 5 – 2/15-2/21
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-4.1 Exponential Functions
-4.2 Logarithmic Functions
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4.1 Homework
4.2 Homework
Quiz 5
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Week 6 – 2/22-2/28
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-4.3 Properties of Logarithms
-4.4 Exponential and Logarithmic Equations
-4.5 Exponential and Logarithmic Models
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4.3 Homework
4.4 Homework
4.5 Homework
Quiz 6
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Week 7 – 3/1-3/7
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-5.1 Angles and Their Measure
-5.2 Right Angle Trigonometry
-5.3 The Trigonometric Functions in the Coordinate Plane
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5.1 Homework
5.2 Homework
5.3 Homework
Quiz 7
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Week 8 – 3/8-3/14
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-5.4 Unit Circle Trigonometry
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5.4 Homework
Quiz 8
Test 2
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Week – 3/15-3/21
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Spring Break
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Spring Break
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Week 9 – 3/22-3/28
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-5.5 Graphing Sine and Cosine Functions
-5.6 Graphing Other Trigonometric Functions
-5.7 Inverse Trigonometric Functions
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5.5 Homework
5.6 Homework
5.7 Homework
Quiz 9
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Week 10 – 3/29-4/4
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-5.8 Applications of Trigonometric Functions
-6.1 Fundamental Trigonometric Identities
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5.8 Homework
6.1 Homework
Quiz 10
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Week 11 – 4/5-4/11
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-6.2 Solving Trigonometric Equations
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6.2 Homework
Quiz 11
Test 3
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Week 12 – 4/12-4/18
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-6.3 The Sum and Difference Formulas
-6.4 DoubleAngle, HalfAngle, and ProductSum Formulas
-7.1 The Law of Sines
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6.3 Homework
6.4 Homework
7.1 Homework
Quiz 12
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Week 13 – 4/19-4/25
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-7.2 The Law of Cosines
-7.3 Vectors
-7.4 The Dot Product
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7.2 Homework
7.3 Homework
7.4 Homework
Quiz 13
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Week 14 – 4/26-5/2
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-10.1 Polar Coordinates
- Introductions to Limits
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10.1 Homework
Quiz 14
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Week 15 – 5/2-5/9
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Test 4 and Final Exam Review
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Test 4
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Week 16 – 5/10-5/15
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Final Exam
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Final Exam
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STUDENT LEARNING OUTCOMES
At the successful completion of this course the student will be able to:
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1
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Demonstrate and apply knowledge of properties of functions.
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2
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Recognize and apply algebraic and transcendental functions and solve related equations.
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3
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Apply graphing techniques to algebraic and transcendental functions.
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4
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Compute the values of trigonometric functions for key angles in all quadrants of the unit circle measured in both degrees and radians.
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5
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Prove trigonometric identities.
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6
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Solve right and oblique triangles.
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STUDENT EMAIL
All students at NCTC are assigned a student email address, also known as Lion Pride email. Lion Pride email can be accessed on the NCTC home page by clicking on MyNCTC, then the link “Lion Pride Email” to the left. After clicking the Lion Pride Email link, the Microsoft Office 365 window will open.
1. Enter your NCTC student e-mail address. (for example, Smithj123456@student.nctc.edu)
2. Enter your password (your NCTC Student ID Number, either 7 or 9 numbers).
3. From the list of Microsoft icons, choose MAIL.
4. You will be asked to set your language and local time zone (Central Time). Your account is now activated.
**It is the student’s responsibility to activate and regularly monitor the assigned NCTC (Lion Pride) e-mail account. Important announcements and notifications from the Admissions office, Financial Aid, or other college staff will be sent via the Lion Pride student email system.
For communicating with classmates and instructors, students also have an option to communicate through Canvas. Canvas messaging is NOT the same as Lion Pride e-mail. Failure to read and/or receive NCTC e-mails (either in Lion Pride or in Canvas) is no excuse for not complying with any school policy. Be sure to regularly check BOTH the Lion Pride email as well as the Canvas inbox for important messages and information.
ATTENDANCE POLICY
Regular and punctual attendance is expected of all students in all classes for which they have registered. All absences are considered to be unauthorized unless the student is absent due to illness or emergencies. It is the student’s responsibility to provide documentation as to the emergency for approval by the faculty member. Approved college-sponsored activities are also excused absences. The instructor is responsible for judging the validity of any reason given for an absence. Valid reasons for absence, however, do not relieve the student of the responsibility for making up required work. Students will not be allowed to make up an examination missed due to absence unless the absence is documented and excused by the instructor. Student will be dropped from a class by the Registrar upon recommendation of the instructor who feels the student has been justifiably absent or tardy a sufficient number of times to preclude meeting the course’s objectives. Persistent, unjustified absences from classes or laboratories will be considered sufficient cause for College officials to drop a student from the rolls of the College. From Board Policy FC (LOCAL)
TESTING POLICY
All tests and the Final Exam for this course will be taken in-person in a proctored environment (unless the pandemic prevents it). Testing will occur during the designated class times and location. While on campus appropriate social distancing and the wearing of masks are expected per NCTC Covid-19 policy.
Testing may be administered in a variety of ways and the mode of testing may change during the semester as deemed appropriate by the instructor.
TENTATIVE TEST SCHEDULE
This schedule is tentative and will most likely change as the semester progresses. It is provided so that you have a general idea of the order and speed with which we will be covering the material.
Assessment name
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Tentative Date
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Test 1
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2/10/2021
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Test 2
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3/10/2021
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Test 3
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4/7/2021
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Test 4
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5/5/2021
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Final Exam
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5/12/2021
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LAST DAY TO WITHDRAW
Last day to withdraw from a 16-week course with a “W” is Monday, April 5, 2021.
MATH LAB
Students who need help with any math class can visit the NCTC Mathematics Lab to receive assistance. Sign up for an appointment or see the most current tutoring hours for all campuses at http://www.nctc.edu/student-services/student-success/tutoring/mathematics-lab.html.
DISABILITY SERVICES (Office for Students with Disabilities)
The Office for Students with Disabilities (OSD) provides accommodations for students who have a documented disability. On the Corinth Campus, go to room 170 or call 940-498-6207. On the Gainesville Campus, go to room 110 or call 940-668-4209. Students on the Bowie, Graham, Flower Mound, and online campuses should call 940-498-6207.
North Central Texas College is committed to both the spirit and letter of federal equal opportunity legislation, including the Americans with Disabilities Act (ADA) of 1990, ADA Amendments Act of 2009, and Section 504 of the Rehabilitation Act of 1973 (P.L. 93-112). https://www.nctc.edu/catalog/student-services/office-students-with-disabilities.html
CORE CURRICULUM FOUNDATIONAL COMPONENT AREA (For classes in the Core)
Communication
X Mathematics
Life and Physical Science
Language, Philosophy & Culture
Creative Arts
American History
Government/Political Science
Social and Behavioral Sciences
Component Area Option
REQUIRED CORE OBJECTIVES (For classes in the Core)
X Critical Thinking
X Communication
X Empirical and Quantitative
Teamwork
Personal Responsibility
Social Responsibility
COURSE TYPE
Academic General Education Course (from ACGM but not in NCTC Core)
X Academic NCTC Core Curriculum Course
WECM Course
STUDENT HANDBOOK
Students are expected to follow all rules and regulations found in the student handbook. https://www.nctc.edu/_documents/academics/student-handbook.pdf.
ACADEMIC DISHONESTY
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 Conduct ([FLB(LOCAL)]”.
Consequences for academic dishonesty may include:
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Zero on the assignment
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Failing grade for the course
Name of Chair:
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Ben Owens
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Office Location:
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Corinth 236
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Telephone Number:
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940.498.6209
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E-mail Address:
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bowens@nctc.edu
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Name of Instructional Dean:
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Mary Martinson
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Office Location:
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Gainesville 1404
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Telephone Number:
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940.668.7731 ext. 4377
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E-mail Address:
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mmartinson@nctc.edu
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INFORMATION FOR ONSITE (FACE-T0-FACE) CLASSES
Potential Conversion of Onsite Classes to Online/Remote Format: North Central Texas College students should be aware that in the event of a college closure due to COVID-19, onsite classes will be converted to an online/remote format. Students should plan ahead to ensure they have access to the computer equipment (either PC, MAC, or tablet), webcam, and internet connectivity to continue their classes in an online/remote format. Please read all your official North Central Texas College student emails as the transition from onsite to online/remote might require a reorganization in your personal situation. Students will be granted a 72-hour transition and grace period. Online classes will continue as scheduled without disruption. Wear a mask, stay safe, and contact your Instructor as the situation arises. These policies and procedures were updated on July 30, 2020 and are subject to change.
Face Coverings: Per the North Central Texas College guidance on face coverings on campus, in the instructional setting, faculty and students must wear face coverings, such as masks or face shields. Students without coverings, or those who do not comply with the rules relating to face coverings, will not be able to participate in on-campus classroom activities. To request an exception to this requirement, students should contact the NCTC HR Office of Enrollment Management (ccove@nctc.edu). Failure to comply with the face coverings requirement may result in the Instructor directing the student to leave the classroom. Any student asked to leave the classroom may be referred to the student conduct officer. These policies and procedures were updated on July 30, 2020 and are subject to change.
Temporary COVID-19 Attendance Policy for Face-to-Face Meetings: We are facing an unprecedented situation in which all of us must be flexible and make prudent decisions in the best interest of our families, our campus, and our community. In light of this, North Central Texas College is temporarily establishing the requirement that faculty keep records of student attendance for face-to-face course meetings as well as a documented seating chart. In addition, students who are sick or need to quarantine should not attend classes. Students will not be required to provide formal documentation from a health care provider and will not be penalized for COVID-19 related absences when proper notification to campus health officials is made in accordance with the guidelines stated below.
Faculty will:
Students should:
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Provide notification to campus officials (via NCTC Daily Health Check protocol through Canvas) if they have tested positive for COVID-19 or have to quarantine so we can confirm reported absence with instructors, monitor, and assist the campus community.
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Notify instructors in advance of the absence.
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Connect with that class through Webex if the class session is being transmitted in a hybrid fashion.
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Keep up with and/or make up missed classwork or assignments.
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Submit assignments digitally through Canvas or other means as announced by your instructor.
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Work with their instructors to reschedule exams, labs, and other critical academic activities described in the course syllabus.
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Check Canvas and campus email daily to receive important announcements pertaining to the course.
During this period, faculty with face-to-face meetings will establish assigned seating/work stations to facilitate roll-taking, and, if necessary, contact tracing. Additionally, we ask all members of the College community to be attentive to their health, and safeguard others, by following the CDC’s guideline to “stay home when you are sick.” You should stay home if you have symptoms. More information on what to do if you are sick is available at the CDC’s website.
Additional NCTC information is available at http://www.nctc.edu/coronavirus/index.html
CAMPUS POLICIES
Tobacco-Free Campus: NCTC restricts the use of all tobacco products, including cigarettes, e-cigarettes, cigars, pipes, and smokeless tobacco, on campus property.
Campus Carry: Effective August 1, 2017, a license holder may carry a concealed handgun on or about the license holder's person while the license holder is on the campus of an institution of higher education or private or independent institution of higher education in this state. For more information, see the website at https://www.nctc.edu/campus-safety/campus-carry.html.
Parking Permits: The North Central Texas Community College District has managed traffic and parking regulations in order to ensure the safety of the campus community related to the operation and parking of vehicles on campus. These regulations apply to all operators of motor vehicles on campus. For parking permits and more information, see the website at https://www.nctc.edu/campus-safety/transportation-parking.html.