NORTH CENTRAL TEXAS COLLEGE
COURSE SYLLABUS
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Course Title:
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Calculus II
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Course Prefix & Number:
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MATH 2414
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Section Number:
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310
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Semester/Year:
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Fall 2019
Online
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Semester Credit Hours:
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4
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Lecture Hours:
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48
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Lab Hours:
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Course Description (NCTC Catalog): Differentiation and integration of transcendental functions; parametric equations and polar coordinates; techniques of integration; sequences and series; improper integrals.
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Course Prerequisite(s): MATH 2413 Calculus I
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Required or Recommended Course Materials:
Thinkwell Access (Canvas) - Thinkwell provides lecture videos as well as practice exercises and homework assignments. See “Getting Started with Thinkwell” on Homepage for more information.
Internet access is required.
Scientific Calculator. (Use of calculators may be restricted on tests. See Canvas Homepage for more info on calculators.)
Note: (Optional) You may want to purchase a Calculus textbook. There is no book to go along specifically with the Thinkwell videos, but any Calculus textbook will give more examples and practice. There are some free textbooks online or you can find older editions of books typically for a big discount! We will be doing some assignments from OpenStax Calculus Volume 2.
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INSTRUCTOR INFORMATION
Name of Instructor:
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Ben Owens
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Campus/Office Location:
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Flower Mound 107
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Office Hours:
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Tuesday: 9:30-11:00 ; 12:30-2:00 ; 3:30-5:30
Thursday: 9:30-11:00 ; 12:30-2:00 ; 3:30-5:30
Fridays: by appointment only
Online office hours: TBD
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Telephone Number:
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940-498-6295
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E-mail Address:
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bowens@nctc.edu
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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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40
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Thinkwell Homework (Online)
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10%
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20
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OpenStax Assignments (Online)
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5%
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15
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Discussion Assignments (Online)
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5%
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3
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Tests (In person)
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60%
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1
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Final Exam (In person)
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20%
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Grade Scale: 90 – 100% = A; 80 – 89% = B; 70 – 79% = C; 60 – 69% = D; Below 60% = F
***Tests must be taken on an NCTC campus with a Math division proctor, at an NCTC Testing Center, or at an approved test proctoring location. NCTC offers testing at any campus (Gainesville, Corinth, Flower Mound, Bowie, Graham). If it is more convenient for you to take the test at a different location (another college/university for instance) please email me to make arrangements for your testing.***
All assignments are due on Sunday nights. If for some reason the due dates need to be adjusted I will email the class. See “Assignment Descriptions” on the Course Homepage for more details about assignments.
Tests must be completed in the time frames listed below.
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Test Completion Window
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Sections Covered on Test
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Test 1
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Saturday, September 28st (or the week preceding: Tues. 9/24 – Fri. 9/27)
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Ch. 14, Ch. 15, Ch. 16
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Test 2
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Saturday, October 19th (or the week preceding: Tues. 10/15 – Fri. 10/18)
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Ch. 17, Ch. 18
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Test 3
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Saturday, November 23rd (or the week preceding: Tues. 11/19 – Fri. 11/21)
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Ch. 19
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Final Exam
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Saturday, December 7th (or Finals Week: Mon. 12/9 – Wed. 12/11)
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All Chapters (14 – 20)
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STUDENT LEARNING OUTCOMES (From Academic Course Guide Manual/Workforce Education Course Manual/NCTC Catalog
At the successful completion of this course the student will be able to:
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1
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Use the concepts of definite integrals to solve problems involving area, volume, work, and other physical applications.
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2
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Use substitution, integration by parts, trigonometric substitution, partial fractions, and tables of anti-derivatives to evaluate definite and indefinite integrals.
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3
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Define an improper integral.
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4
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Apply the concepts of limits, convergence, and divergence to evaluate some classes of improper integrals.
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5
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Determine convergence or divergence of sequences and series.
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6
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Use Taylor and MacLaurin series to represent functions.
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7
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Use Taylor or MacLaurin series to integrate functions not integrable by conventional methods.
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8
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Use the concept of polar coordinates to find areas, lengths of curves, and representations of conic sections.
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Tentative Schedule
Week
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Thinkwell Sections
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Open Stax: Calculus Volume 2 https://openstax.org/details/books/calculus-volume-2
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Week 1
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Introduction / Review
An Introduction to Calculus II
14.1 - The Area Between Curves
16.1 - Integration Review/Tables
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2.1 Area between Curves
3.5 Other Techniques for Integration
1.5 Substitution
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Week 2
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L’Hopital’s Rule
15.1 Indeterminate Quotients
15.2 - Other Indeterminate Forms
Integration Techniques
16.2 - Integrals Involving Powers of Sine and Cosine
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https://openstax.org/details/books/calculus-volume-1
(Open Stax: Calculus Volume 1)
4.8 L’Hopital’s Rule
3.2 Trigonometric Integrals
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Week 3
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16.3 - Integrals Involving Powers of Other Trigonometric Functions
16.4 - Introduction to Integration by Partial Fractions
16.5 - Integration by Partial Fractions; Repeated Factors
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3.4 Partial Fractions
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Week 4
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16.6 - Integration by Parts
16.7 - An Introduction to Trigonometric Substitution
16.8 - Trigonometric Substitution Strategy
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3.1 Integration by Parts
3.3 Trigonometric Substitution
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Week 5
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Improper Integrals
17.1 - Improper Integrals
Applications of Integral Calculus
18.1 - The Average Value of a Function
18.2 - Finding Volumes Using Cross-Sections
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3.7 Improper Integrals
2.2 Determining Volume by Slicing
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Week 6
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18.3 - Disks and Washers
18.4 - Shells
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2.2 Determining Volume by Slicing
2.3 Volumes of Revolution: Cylindrical Shells
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Week 7
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18.5 - Arc Lengths and Functions
18.6 - Work
18.7 - Moments and Centers of Mass
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2.4 Arc Length of a Curve and Surface Area
2.5 Physical Applications
2.6 Moments / Centers of Mass
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Week 8
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Sequences and Series
19.1 - Sequences
19.2 - Monotonic and Bounded Sequences
19.3 - Infinite Series
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5.1 Sequences
5.2 Infinite Sequences
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Week 9
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19.4 - Convergence and Divergence
19.5 - The Integral Test
19.6 - The Direct Comparison Test
19.7 - The Limit Comparison Test
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5.3 The Divergence and Integral Tests
5.4 Comparison Tests
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Week 10
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19.8 - The Alternating Series
19.9 - Absolute and Conditional Convergences
19.10 - The Ratio and Root Tests
19.11 - Polynomial Approximations of Elementary Functions
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5.5 Alternating Series
5.6 Ratio and Root Tests
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Week 11
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19.12 - Taylor and Maclaurin Polynomials
19.13 - Taylor and Maclaurin Series
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6.3 Taylor and Maclaurin Series
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Week 12
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19.14 - Power Series
19.15 - Power Series Representations of Functions
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6.1 Power Series and Functions
6.2 Properties of Power Series
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Week 13
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Parametric Equations and Polar Coordinates
20.1 - Understanding Parametric Equations
20.2 - Calculus and Parametric Equations
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7.1 Parametric Equations
7.2 Calculus of Parametric Curves
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Week 14
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20.3 - Understanding Polar Coordinates
20.4 - Polar Functions and Slope
20.5 - Polar Functions and Area
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7.3 Polar Coordinates
7.4 Area and Arc Length in Polar Coordinates
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Week 15
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Review for Final Exam / Final Exam
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Week 16
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Final Exam
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Final Exam
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For a more detailed schedule, see the “Detailed Course Schedule” on the Course Homepage.
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.
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)
Last day to withdraw from a 16-week course with a “W” is Friday, November 1, 2019.
Students who need help with any math class can visit the NCTC Mathematics Lab to receive assistance. No appointments are necessary. See the most current tutoring hours for all five campuses at http://www.nctc.edu/student-services/student-success/tutoring/mathematics-lab.html.
TIMES SUBJECT TO CHANGE BASED ON TUTOR AVAILABILITY:
Corinth Math Lab – 186
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All other campuses
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Monday – Thursday 8:30 am – 6:30 pm
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Check the Math Lab/tutoring hours
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Friday 8:30 am – 12:00 pm
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on the website listed above.
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Saturday 10:00 am – 1:00 pm
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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/_documents/academics/student-handbook.pdf
CORE CURRICULUM FOUNDATIONAL COMPONENT AREA (For classes in the Core)________
Communication
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)
Critical Thinking
Communication
Empirical and Quantitative
Teamwork
Personal Responsibility
Social Responsibility
Academic General Education Course (from ACGM but not in NCTC Core)
Academic NCTC Core Curriculum Course
WECM Course
Students are expected to follow all rules and regulations found in the student handbook. https://www.nctc.edu/_documents/academics/student-handbook.pdf.
Scholastic dishonesty shall include, but is not limited to cheating, plagiarism, academic falsification, intellectual property dishonesty, academic dishonesty facilitation and collusion. 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:
- Zero on the assignment
- Failing grade for the course
Name of Chair :
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Dr. Elizabeth Howell
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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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ehowell@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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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 http://www.nctc.edu/police/campus-carry.html