NORTH CENTRAL TEXAS COLLEGE
COURSE SYLLABUS
COURSE AND INSTRUCTOR INFORMATION
Course title: Calculus I
Course prefix, number, and section number: MATH 2413 0400
Semester/Year of course: Spring 2025
Semester start and end dates: 1/21/2025 – 5/17/2025
Modality: Face to face
Class meeting location, days, and times: Corinth, room 366. Mondays/Wednesdays, 11am – 12:50pm
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. This textbook is also used for Calculus II and Calculus III. If you intend on taking these courses at NCTC, you may want to consider buying instead of renting the textbook.
Scientific calculator (TI-30X IIS is recommended) or a graphing calculator (TI 83/84 recommended).
Name of instructor: Jill Yoder
Office location: Room 207 (Corinth)
Telephone number: 940-498-6282, Ext. 6269
E-mail address: jyoder@nctc.edu or through Canvas Inbox.
Office hours for students: Mondays/Wednesdays: 9:30am – 11am, 1pm – 3pm. Tuesdays/Thursdays: 11am – 12pm, 2:30pm – 3:30pm
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.
Office hours can be held in my office or virtually through Cisco WebEx. If you come to my office, you do not need to make an appointment ahead of time (although doing so is fine). To schedule a virtual appointment, click on the Cisco WebEx link in the Canvas course, and choose a day and time. The email with the meeting link will go to your NCTC student email account (Not Canvas).
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 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
Type of assignment Day of week due
14 - 15 Graded Homework Assignments Saturdays (upload into Canvas in pdf format)
4 Exams Dates below
1 Final Exam Date below
The graded homework will comprise 20% of your overall grade. The 4 exams will be 60%, and the final exam will be 20%.
Final grade scale: 90 – 100% = A; 80 – 89% = B; 70 – 79% = C; 60 – 69% = D; Below 60% = F
Graded homework assignments will be due weekly through Canvas on Saturdays by 11:59pm. They will be posted by Wednesday afternoons at the latest.
These will be a mix of questions from the textbook plus other questions.
You will need to scan or otherwise convert your finished assignment to pdf form to upload it into Canvas.
Two graded homework grades will be dropped at the end of the semester. For this reason, late assignments may not be accepted. Make sure you allow yourself plenty of time to do the assignments and upload them.
There will also be practice homework assignments. These are selected odd-numbered problems from the textbook. These are not to be handed in, but you are expected to be working on them and asking questions about them throughout the semester. You can check your answers at www.calcchat.com.
An optional assignment, called exam revisions, will be due at the end of the semester. This is an opportunity to received back half the points missed on any one exam. More information will be posted in Canvas. You must have taken an exam to use it for this assignment.
Exams are taken in class on the dates given below. If you miss an exam, you must contact the instructor on or before the exam date in order to have a chance at a make-up exam. Once an exam is handed back to the class it may not be made up. Contact the instructor for other options.
Exam Schedule
Exam #1: Monday, February 17
Exam #2: Monday, March 10
Exam #3: Monday, April 7
Exam #4: Monday, April 28
Final Exam: Monday, May 12
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: While there are many great resources available to you, keep in mind that for this class ChatGPT, Desmos, Wolfram-Alpha, Chegg, Symbolab, and similar programs should only be used to help you understand the material we are covering in the class. Any student suspected of submitting work that is not their own (whether it is copied from another student or from technology) will be required to meet with me. If a student is found to have presented work that is not their own, they will be subject to the academic integrity policy. If you would not be able to explain to me how to work a similar problem, you should not submit the solution as your own.
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. (https://www.nctc.edu/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 the course with a “W” is: Monday, April 7, 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 Reasoning
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: Jill Yoder
Office location: Corinth, room 207
Telephone number: 940-498-6282, Ext. 6269
E-mail address: jyoder@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