MATH 2414 0310 - CALCULUS II

Introduction

NORTH CENTRAL TEXAS COLLEGE

COURSE SYLLABUS

 

 

COURSE AND INSTRUCTOR INFORMATION

 

 

Course title:  Calculus II

Course prefix, number, and section number:  MATH 2414 0310

Semester/Year of course:  Fall 2024

Semester start and end dates:  8/26/2024 – 12/14/2024

Modality (Face to face/Synchronous or Asynchronous online/Hybrid): Asynchronous online

Class meeting location, days, and times: Student will watch video lectures, complete homework and quizzes by their due dates based on their schedule. There are no fixed dates/times for class meetings.  Exams must be proctored in person during testing window.

 

Semester credit hours:  4 (Lecture hours: 64)

 

Course description:  Differentiation and integration of transcendental functions; parametric equations and polar coordinates; techniques of integration; sequences and series; improper integrals.

 

Course prerequisites:  MATH 2413 Calculus I with a grade of “C” or better

 

Required course materials: 

Derivita (Homework system which can be purchased through a link in the Canvas course or in the bookstore)

Scientific calculator (TI-30X IIS is recommended) or graphing calculator (TI-84 is recommended)

 

Recommended course materials:

Calculus: Early Transcendental Functions, 7th (or earlier) edition, Ron Larson & Bruce H. Edwards, Cengage, 2019

 

Book Notes: The cost for these materials will be billed directly to your student account. Information on how to access the materials or opt-out of the program will be provided to you via email. You will receive an email with additional information prior to the start of the semester at the student email address (.edu domain) that is issued by the College/University.

 

 

Name of instructor:  Misty Hamner

Office location:  Corinth Campus 209

Telephone number:  (940) 498-6298

Email address:  mhamner@nctc.edu

 

Email is the preferred form of communication. Students are welcome to contact me using the Canvas inbox or at my NCTC email account. Responses can be expected within 24 hours Monday through Friday.

 

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.

 

Scheduled student hours:     Tuesday 9:30 – 12:30 via WebEx

                                                Wednesday 9:30 – 1:30 Corinth Room 209 or via WebEx

                                                Thursday 9:30 – 12:30 via WebEx

                                                Other times are available by special appointment (email me for information)

To schedule an appointment during office hours, log into your course in Canvas and click on the Cisco Webex link. Select Office Hours. Select the date that you would like to meet. 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 (not Canvas) 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.

Appointments should be made at least 24 hours in advance.

 

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

 

 

List of graded assignments: 

Discussion Boards       10% 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 for the quizzes 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 an in-person 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 a CAS 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 8/30/2024 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

 

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)

 

Instructor Drop Policy:  As the instructor, I reserve the right to drop any student who fails to meet the contact hours as required by the State.  Any student who has failed to attend class and/or complete required assignments will be notified that they must schedule a meeting with me within 48 hours of the notice.  Students who fail to meet with me during the allotted time will be dropped from the course.  Students who fail to meet the requirements established at the instructor-student attendance meeting will be dropped from the course.

 

 

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, November 4, 2024

 

Student Learning Outcomes:  At the successful completion of this course the student will be able to:

  1. Use the concepts of definite integrals to solve problems involving area, volume, work, and other physical applications.
  2. Use substitution, integration by parts, trigonometric substitution, partial fractions, and tables of anti-derivatives to evaluate definite and indefinite integrals.
  3. Define an improper integral.
  4. Apply the concepts of limits, convergence, and divergence to evaluate some classes of improper integrals.
  5. Determine convergence or divergence of sequences and series.
  6. Use Taylor and MacLaurin series to represent functions.
  7. Use Taylor or MacLaurin series to integrate functions not integrable by conventional methods.
  8. Use the concept of polar coordinates to find areas, lengths of curves, and representations of conic sections.

 

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.

 

* Inclusive Access

The NCTC Bookstore and Pearson Education have partnered to provide the best learning resources on the first day of class so that students can gain access to Pearson’s adaptive online platform with the latest version of the eBook at a discount. If students would like to purchase a physical copy of the textbook, they can purchase it through the bookstore.

 

Students who drop before the add/drop date will have their book fees credited back to their student account, and students who remain in the course will be charged a materials fee by the school to have continued access of the online platforms.  If you remain enrolled in the course but wish to opt-out of access to the book please email the NCTC Bookstore within the first two weeks of class with your name and student number.

 

 

 

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:  Misty Hamner

Office location:  Corinth Campus

Telephone number: (940) 498-6298

E-mail address:  mhamner@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