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: Fall 2025
Semester start and end dates: 8/25/2025 – 12/13/2025
Modality (Face to face):
Class meeting location, days, and times: Online (BigBlueButton) Tues and Thurs at noon-1pm
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/8th editions, Ron Larson & Bruce H. Edwards, Cengage, 2019
Scientific calculator (TI-30X IIS is recommended)
Name of instructor: Nelson Lozano
Office location: Corinth R207
Telephone number: 940-498-6282 ext 6400
Email address: nlozano@nctc.edu
I will be available on campus after or before class but we can schedule an appointment via email
Online student hours:
In-person student hours: Mon & Wed: 11am-3:30pm I will be on Denton Campus.
For online meetings: Tues and Thus on BigBlueButton from noon to 1pm.
I can also schedule additional times if needed.
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. Sign up for an appointment or see the most current tutoring hours for all campuses at 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:
4 Unit Homework Assignments: 10%
1 Diagnostic Quiz: 10%
4 Unit Tests : each 20% (total 80%)
Final grade scale: 90 – 100% = A; 80 – 89% = B; 70 – 79% = C; 60 – 69% = D; Below 60% = F
The final exam may also be used to replace the lowest unit test grade.
Late work policy: Late work will not be accepted
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:
- Zero on the assignment
- Failing grade for the course
Artificial Intelligence Policy:
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. But, these tools must be used thoughtfully so that true understanding and proficiency are developed.
Attendance Policy: Regular attendance is expected and necessary for student success in this course. For more information on attendance regulations please see the 2024-2025 NCTC Catalog. (Attendance Regulations – NCTC Catalog)
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 Fall 2025 course with a “W” is: Monday, November 3, 2025
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. But, 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 Student Services Syllabus Addendum for a listing of those departments 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: Nelson Lozano
Office location: Cor207
Telephone number: 940-498-6282 ext 6400
E-mail address: nlozano@nctc.edu
Name of Chair/Coordinator: 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