NORTH CENTRAL TEXAS COLLEGE

COURSE SYLLABUS

COURSE AND INSTRUCTOR INFORMATION

Course title:  Calculus I

Course prefix, number, and section number:  MATH 2413 0340

Semester/Year of course:  Spring 2024

Semester start and end dates: 1/16/2024 – 5/11/2024

Modality:  Asynchronous online

Class meeting location, days, and times: No fixed dates or times; Exams must be proctored during testing window.

Semester credit hours:  4 (Lecture hours: 64)

Course description:  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 prerequisites:  MATH 2412 Pre-Calculus Math with a grade of “C” or better, or equivalent preparation

Required course materials:  Calculus: Early Transcendental Functions, 7th edition, Ron Larson & Bruce H. Edwards, Cengage, 2019

Derivita

Scientific calculator (TI-30X IIS is recommended)

No graphing calculators allowed on exams

Name of instructor: Misty Hamner

Office location: Corinth Campus 209

Telephone number: (940) 498-6298

E-mail address: mhamner@nctc.edu

Office hours for students:      Monday and Wednesday (on campus or through WebEx)

9:00 a.m. – 12:30 p.m.

                                                 Tuesday and Thursday (through WebEx)

10:00 – 11:30 a.m.     

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.

To schedule an appointment during office hours, log into your course in Canvas and click on the Cisco Webex link. Select Office Hours. The available appointment times will be listed.  Click on the time period that you would like.  The system will send an email with a link for a Webex session to your NCTC email account and to the instructor. If you prefer to meet in person, simply email me after you make the appointment to let me know that you prefer to meet on campus instead.

 Students are always welcome to drop by my office without an appointment, but please be aware that students who have an appointment will take precedence.

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

List of graded assignments: 

Discussion Boards       5% of course grade

Homework                  5% of course grade

Quizzes                        10% of course grade

3 regular exams          60% of course grade (20% each)

Final exam                   20% of course grade

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

Homework and quiz assignments will be submitted through Canvas using a program called Derivita. Students must submit photos of their work or points will be deducted from their grade. No late work will be accepted.  You are welcome to work ahead in the course to avoid missing any due dates. 

There will be 3 regular exams during the semester All exams will be taken with a proctor.  There will be multiple times and locations offered on the NCTC campuses. Calculator use may be restricted on some tests or parts of tests.  Graphing calculators with CAS (computer algebra system) may not be used on the exams. 

The final examination will be comprehensive.  Students who miss 2 or fewer homework assignments 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 do not register with Derivita by 1/19/2024 may be dropped from the course.

Late work policy:

Late work will not be accepted and exams will not be rescheduled without approval of the instructor prior to the exam date.

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 the course with a “W” is: Monday, April 1, 2024

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.

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.

QUESTIONS, CONCERNS, or COMPLAINTS