NORTH CENTRAL TEXAS COLLEGE COURSE SYLLABUS
Course Title:	Calculus I			Course Modality:	On Campus
Course Prefix & Number:	MATH 2413	Section Number:	0400	Class Day/Time:	MW 8:00 – 9:50 a.m.
Semester Credit Hours:	4	Lecture Hours:	64	Semester/Year:	Fall 2021
Course Description (NCTC Catalog): Limits and continuity; the Fundamental Theorem of Calculus; definition of the derivative of a function and techniques of differentiation; applications of the derivative to maximizing or minimizing a function; the chain rule, mean value theorem, and rate of change problems; curve sketching; definite and indefinite integration of algebraic, trigonometric, and transcendental functions, with an application to calculation of areas.
Course Prerequisite(s): MATH 2412 Pre-Calculus Math or equivalent preparation
Required or Recommended Course Materials: Derivita (homework system) Calculus: Early Transcendental Functions, 7th edition, Ron Larson & Bruce H. Edwards, Cengage, 2019 Scientific calculator (TI-30X IIS is recommended); graphing calculators may not be used on exams

 

INSTRUCTOR INFORMATION

Name of Instructor:	Misty Hamner
Campus/Office Location:	Corinth 209
Office Hours:	MW 10:00 – 11:30 Corinth 209 TR 9:00 – 10:00 online through WebEx TR 10:30 – 1:00 Denton 214 Friday by appointment *These may be amended during the semester
Telephone Number:	940-498-6298
E-mail Address:	mhamner@nctc.edu

 

STUDENT HOURS (OFFICE HOURS)

Each week instructors have time set aside to meet with students outside of class. (Traditionally these times have been called “office hours”.) This is a time when a student may ask questions regarding the class, or discuss a particular problem/topic with an instructor one-on-one.  Student hours may be held in-person or online.  See below for instructions on where/when/how instructors will offer student hours in this class.

 

If you want to meet online, you will need to make an appointment through WebEx.  You can do this by logging into your course in Canvas and clicking on Cisco WebEx > Office Hours.  You will receive an email with the link to the meeting at your NCTC email address.  Feel free to email me if you have any issues.

 

You may also schedule on campus office hours through WebEx to ensure that time is set aside for you.  You are welcome to drop by my office during my scheduled office hours (or anytime I am in the office).  Please note that students who have scheduled an appointment will receive top priority.  If you want to meet on Friday, please email me to set up an appointment.

GRADING CRITERIA

# of Graded Course Elements	Graded Course Elements	Percentage or Point Values
~28	Homework	10%
~10	Quizzes	10%
4	Exams	60%
1	Final Exam	20%

Grade Scale:   90 – 100% = A;   80 – 89% = B; 70 – 79% = C;  60 – 69% = D;  Below 60% = F

 

Homework assignments will be submitted through Canvas using a program called Derivita. No late work will be accepted.  You are welcome to work ahead in the course to avoid missing any due dates. 

 

There will be 4 regular exams during the semester.  All exams will be taken on campus during our scheduled class time unless you have made other arrangements with the instructor.  Calculator use may be restricted on some tests or parts of tests.  Graphing calculators may not be used on the exams.

 

The final examination will be comprehensive.  Students who miss 2 or fewer classes may use their final exam grade to replace their lowest exam grade.  Please note that the final exam will count as a grade, but may count twice if it replaces your lowest exam grade.  Students who have earned an A on all 4 regular exams may be exempted from the final exam. In this case, your lowest exam grade will replace your final exam grade.

 

Students who miss more than 4 classes may be dropped from the course.  Note if you are sick and must miss a class you need to notify the instructor.  Students who are quarantined for Covid related illness and/or exposure may be accommodated if appropriate documentation is provided.

 

COURSE SUBJECT OUTLINE (Major Assignments, Due Dates, and Grading Criteria)

Date	Topics	Assignments
Week 1 – 8/23 – 8/29	Syllabus 2.1 A Preview of Calculus 2.2 Finding Limits Graphically and Numerically 2.3 Evaluating Limits Analytically	Algebra and Trigonometry Review Section 2.1 Section 2.2 Quiz #1
Week 2 – 8/30 – 9/5	2.3 Evaluating Limits Analytically 2.4 Continuity and One-Sided Limits 2.5 Infinite Limits	Section 2.3 Section 2.4 Section 2.5 Quiz #2
Week 3 – 9/6 – 9/12	Exam 1 (Chapter 2) 3.1 The Derivative and the Tangent Line Problem 3.2 Basic Differentiation Rules and Rates of Change	Exam 1 Section 3.1 Quiz #3
Week 4 – 9/13 – 9/19	3.2 Basic Differentiation Rules and Rates of Change 3.3 Product and Quotient Rules and Higher-Order Derivatives 3.4 The Chain Rule 3.5 Implicit Differentiation	Section 3.2 Section 3.3 Section 3.4 Quiz #4
Week 5 – 9/20 – 9/26	3.5 Implicit Differentiation 3.6 Derivatives of Inverse Functions	Section 3.5 Section 3.6 Quiz #5
Week 6 – 9/27 – 10/3	3.7 Related Rates Exam 2 (Chapter 3)	Section 3.7 Exam 2
Week 7 – 10/4 – 10/10	4.1 Extrema on an Interval 4.2 Rolle’s Theorem and the Mean Value Theorem 4.3 Increasing and Decreasing Functions and the First Derivative Test	Section 4.1 Section 4.2 Section 4.3 Quiz #6
Week 8 – 10/11 – 10/16	4.4 Concavity and the Second Derivative Test 4.5 Limits at Infinity 4.6 A summary of Curve Sketching	Section 4.4 Section 4.5 Quiz #7
Week 9 – 10/18 – 10/24	4.6 A Summary of Curve Sketching 4.7 Optimization Problems	Section 4.6 Section 4.7 Quiz #8
Week 10 – 10/25 – 10/31	4.8 Differentials Exam 3 (Chapter 4) 5.1 Antiderivatives and Indefinite Integration	Section 4.8 Exam 3
Week 11 – 11/1 – 11/7	5.1 Antiderivatives and Indefinite Integration 5.2 Area 5.3 Riemann Sums and Definite Integrals	Section 5.2 Section 5.2 Section 5.3 Quiz #9
Week 12 – 11/8 – 11/14	5.4 The Fundamental Theorem of Calculus 5.5 Integration by Substitution	Section 5.4 Section 5.5 Quiz #10
Week 13 – 11/15 – 11/21	5.6 Indeterminate Forms and L’Hopital’s Rule 5.7 The Natural Logarithmic Function: Integration	Section 5.6 Section 5.7 Quiz #11
Week 14 – 11/22 – 11/28	5.8 Inverse Trigonometric Functions: Integration	Section 5.8 Quiz #12
Week 15 – 11/29 – 12/5	Exam 4 (Chapter 5) Final Exam Review	Exam 4
Week 16 – Finals 12/6 – 12/11	Final Exam is cumulative and will be held Wednesday December 8th 8:00 – 9:50 a.m.	Final Exam

STUDENT LEARNING OUTCOMES

At the successful completion of this course the student will be able to:
1	Develop solutions for tangent and area problems using the concepts of limits, derivatives, and integrals.
2	Draw graphs of algebraic and transcendental functions considering limits, continuity, and differentiability at a point.
3	Determine whether a function is continuous and/or differentiable at a point using limits.
4	Use differentiation rules to differentiate algebraic and transcendental functions.
5	Identify appropriate calculus concepts and techniques to provide mathematical models of real-world situations and determine solutions to applied problems.
6	Evaluate definite integrals using the Fundamental Theorem of Calculus
7	Articulate the relationship between derivatives and integrals using the Fundamental Theorem of Calculus.

 

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

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.  When possible, in-person proctored testing is preferred.  For in-person classes testing will occur during the designated class times.  For online classes in-person proctored testing may be required.  On site testing may be done in an NCTC testing center, at test locations provided by the math division, or at another authorized testing site.  If online testing is used students may be required to use a webcam while testing.  For online testing students will be required to scan and upload supporting documents.  Students may be asked to demonstrate knowledge/skills in a one-on-one conference if deemed necessary 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	Tentative Date
Test 1	9/6/2021
Test 2	9/29/2021
Test 3	10/27/2021
Test 4	11/29/2021
Final Exam	12/8/2021 8:00 – 9:50 a.m.

 

LAST DAY TO WITHDRAW

Last day to withdraw from a 16-week course with a “W” is Monday, November 1, 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 (Links to an external site.). 

 

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 (Links to an external site.)

 

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 (Links to an external site.). 

 

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:

• Zero on the assignment
• Failing grade for the course

 

Name of Chair:	Ben Owens
Office Location:	Corinth 170
Telephone Number:	940.498.6209
E-mail Address:	bowens@nctc.edu
Name of Instructional Dean:	Mary Martinson
Office Location:	Gainesville 1404
Telephone Number:	940.668.7731 ext. 4377
E-mail Address:	mmartinson@nctc.edu

 

Syllabi statement regarding 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 or other health related crisis, 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. Contact your Instructor as the situation arises. These policies and procedures were updated on July 27, 2021 and are subject to change as conditions change.

 

Syllabi Statement Regarding Face Coverings: Per the North Central Texas College guidance on face coverings on campus, in the instructional setting, faculty and students are not required to wear face coverings, such as masks or face shields. In May, Texas Governor Gregg Abbott released an Executive Order prohibiting Government entities from mandating the use of masks. As a political subdivision of the State of Texas, NCTC will follow the Governor’s Executive Order for Government entities and effective immediately NCTC is no longer mandating the use of masks while on campus. This order does not mean that you cannot choose to wear a mask, rather it is no longer allowed to be mandated. These policies and procedures were updated on May 19, 2021 and are subject to change.

 

Return to Standard Attendance Protocol for Face-to-Face Meetings: In spring 2020, we faced an unprecedented situation in which all of us had to 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:

 

• Notify students about important course information and delivery changes through Canvas and campus email.

 

Students should:

• Provide notification to campus officials 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.
• Notify instructors in advance of the absence.
• Connect with that class through Webex if the class session is being transmitted in a hybrid fashion.
• Keep up with and/or make up missed classwork or assignments.
• Submit assignments digitally through Canvas or other means as announced by your instructor.
• Work with their instructors to reschedule exams, labs, and other critical academic activities described in the course syllabus.
• Check Canvas and campus email daily to receive important announcements pertaining to the course.

During the fall 2021 semester, 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 (Links to an external site.)

 

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 (Links to an external site.).

 

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 (Links to an external site.).