NORTH CENTRAL TEXAS COLLEGE
COURSE SYLLABUS
COURSE AND INSTRUCTOR INFORMATION
Course title: Calculus I
Course prefix, number, and section number: MATH 2413 0350/0950
Semester/Year of course: Spring 2026
Semester start and end dates: 1/12/2026 – 5/9/2026
Modality: Face to face/Synchronous
Class meeting location, days, and times: Tue/Thurs 9:00-11:00 am Flower Mound Room 203
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
Name of instructor: Cary Crawford
Office location: Flower Mound Campus room 107 (Faculty Offices)
Email address: ccrawford@nctc.edu
The easiest way to communicate with me is through CANVAS messaging. If you e-mail me directly, please use your NCTC student email account.
Required course materials:
Included in Lion Book Bundle
Derivita Access
Not included in Lion Book Bundle
Recommended: Calculus: Early Transcendental Functions, 7th/8th editions, Ron Larson & Bruce H. Edwards, Cengage, 2019
Scientific calculator (TI-30X IIS is recommended)
Note: Graphing calculators and phone calculators will not be allowed on exams.
Purchasing Course Materials
Starting in Spring 2026 NCTC is partnering with Barnes & Noble College (BNC) to make purchasing course materials easy and affordable. When students register for classes, they are automatically opted in to the Lion Book Bundle which will provide students first day access to course materials. In this program students are charged $24 per credit hour ($72 for a 3-hour class) as a fee on their NCTC student account. (These are labeled as “Book Fees” on NCTC invoice). Students may choose to opt out of this program, but would then be expected to purchase needed class materials on their own. If opting out, students would receive a refund on their NCTC student account. Students may choose to opt out starting one month prior to classes beginning through the first week of class. Students might benefit from opting out if they are enrolled in classes that use OER (free course materials). Note: The Lion Book Bundle applies to all classes a student is registered for in a given semester (both 16-week and 8-week). A student must either opt in or out for all classes—not each class individually. If you want to take advantage of the Lion Book Bundle, no action is needed as students are automatically opted in. If you would like to opt out of the program, you must go to the Opt-out page (click link below).
Click here for more information: Lion Book Bundle information
Lion Book Bundle for OER Courses
The Lion Book Bundle is a program NCTC has in partnership with Barnes and Noble College (BNC) where students are charged $24 per credit hour ($96 for a 4-hour course) for first day access to all required digital materials. This course uses Derivita for homework and quizzes and OER (Open Educational Resources) which means there is a lower cost for students for course materials. Because you are enrolled in an OER course, you might be able to save money by opting out of the Lion Book Bundle program and purchasing required materials for each course individually. Note: A student must either opt in or out for all classes—not each class individually. Click here for more information and for a link to the Opt-out page: Lion Book Bundle information
STUDENT HOURS (OFFICE HOURS)
Each week instructors have time set aside to meet with students outside of class. (Traditionally these times are 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.
In-person student hours:
M/W 7:30-8:30, 11-12:30; T/Th 7:30-9, 12:30-1:30
Come by my office in room 107 during the above times, or email/CANVAS message to set up a time online if you need help outside of these times.
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 most campuses and online. This service is free for all students enrolled in an NCTC math class. For on-campus tutoring no appointment is needed. For online tutoring, go to UpSwing tutoring in OneLogin to make an appointment.
Tutor schedules and more information: 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:
30 Derivita Homework Assignments: 10%
8 Derivita Quizzes: 15%
4 In-Person regular Exams and a cumulative Final Exam: 75%
Final grade scale: 90 – 100% = A; 80 – 89% = B; 70 – 79% = C; 60 – 69% = D; Below 60% = F
The final exam grade may be used to replace your lowest regular exam grade. So, the final exam grade will count twice – once as itself, and once as a replacement grade. If your final exam grade is lower than your regular exam grades, it will just count once, and no regular exam grades will be dropped.
Late work policy: I will allow one make-up exam IF I AM NOTIFIED AHEAD OF TIME. If you miss an exam and don’t notify me, you will receive a zero which may be replaced by the final exam grade. If you miss more than one exam, you may be dropped from the course.
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” for more details.
Consequences for academic dishonesty may include:
- Zero on the assignment
- Failing grade for the course
- Being dropped from 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 NCTC Catalog. (Attendance Regulations – NCTC Catalog)
- If you are more than five minutes late to class or leave early, you will be counted absent.
- For the synchronous online folks, if you do not turn on your camera when asked, you will be counted absent.
- You may be dropped from the course for excessive absences.
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 Spring 2026 course with a “W” is: Monday, March 30, 2026
Student Learning Outcomes: At the successful completion of this course the student will be able to:
- Develop solutions for tangent and area problems using the concepts of limits, derivatives, and integrals.
- Draw graphs of algebraic and transcendental functions considering limits, continuity, and differentiability at a point.
- Determine whether a function is continuous and/or differentiable at a point using limits.
- Use differentiation rules to differentiate algebraic and transcendental functions.
- Identify appropriate calculus concepts and techniques to provide mathematical models of real-world situations and determine solutions to applied problems.
- Evaluate definite integrals using the Fundamental Theorem of Calculus.
- 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
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.
AI STATEMENT
Absent a clear statement from a course instructor, use of or consultation with generative Artificial Intelligence (AI) or other similar technologies shall be treated analogously to assistance from another person, agency, or entity. In particular, using generative AI tools to substantially complete an assignment or exam is not permitted. Students should acknowledge the use of generative AI (other than incidental use) and default to disclosing such assistance when in doubt.
When students use generative AI to replace the rigorous demands of personal engagement with their coursework, it runs counter to the educational mission of the college and undermines the heart of education itself. Artificial Intelligence, large language models, and other such technologies hold promise for deploying knowledge in service to others and accelerating the discovery of new knowledge. However, such technology poses new challenges to pedagogy and to integrity. Within the context of the teaching mission of the college and consistent with the Student Code of Conduct, the authority to define the appropriate use, study, and deployment of these technologies rests with the faculty.
Individual course instructors, in coordination with their divisions, set policies regulating the use of generative AI tools in their courses, including allowing or disallowing some or all uses of such tools. Course instructors will set such policies in their course syllabi and clearly communicate such policies to students. Students who are unsure of policies regarding generative AI tools are encouraged to ask their instructors for clarification.
AI MATH DIVISION STATEMENT
Many online calculators, equation solvers, and graphing tools exist that may aid students in computing and visualizing math problems. These tools are a great resource for helping better understand how to work problems and can be a huge help in studying. However, these tools can be misused/overused. Math classes require students to develop a certain level of skill that a student must be able to demonstrate without the aid of these tools. Often a student may become reliant on these tools or have false sense of confidence in their knowledge and skills. Generally, if a student is using tools or resources to help learn material, eventually they must take away those resources to ensure they are able to work problems with only the tools allowed in the class. In short, we encourage students to use whatever tools they find useful in developing their knowledge and skills. However, these tools must be used thoughtfully so that true understanding and proficiency are developed.
STUDENT HANDBOOK
Students are expected to follow all rules and regulations found in the Student Handbook.
STUDENT SERVICES
NCTC provides a multitude of services and resources to support students.
See the NCTC Student Services page for those departments/programs and links to their sites.
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 Instructor: Cary Crawford
Office location: Flower Mound campus room 107 (faculty offices)
E-mail address: ccrawford@nctc.edu
Name of Chair: Ben Owens
Office location: Corinth 174
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