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Course Planning by Program

2026-27

Essential Objectives

Course Syllabus


Revision Date: 18-Aug-26
 

Fall 2026 | MAT-1531-VO03 - Calculus I


Online Class

Online courses take place 100% online via Canvas, without required in-person or Zoom meetings.

Location: Online
Credits: 4
Day/Times: Meets online
Semester Dates: 09-08-2026 to 12-21-2026
Last day to add this section: 09-21-2026
Last day to drop without a grade: 09-21-2026 - Refund Policy
Last day to withdraw (W grade): 11-09-2026 - Refund Policy
Open Seats: 4 (as of 08-27-26 5:05 PM)
To check live space availability, Search for Courses.

Faculty

Michael Abrams
View Faculty Credentials

Hiring Coordinator for this course: Julie Dalley

General Education Requirements


This section meets the following CCV General Education Requirement(s) for the current catalog year:
Mathematics
    Note
  1. Many degree programs have specific general education recommendations. In order to avoid taking unnecessary classes, please consult with additional resources like your program evaluation, your academic program catalog year page, and your academic advisor.
  2. Courses may only be used to meet one General Education Requirement.

Course Description

This course is a review of analytical geometry and introduction to the calculus of one variable. Topics include limits, derivatives of algebraic, transcendental, and trigonometric functions, rates of change, optimization, curve sketching, elements of integration of algebraic, transcendental, and trigonometric functions, area, volume, and practical applications in many fields. Prerequisite: Pre-Calculus or equivalent skills.


Essential Objectives

1. Use the Cartesian Coordinate system to graph linear and other functions.
2. Define and recognize functions.
3. Apply concepts of limits and continuity.
4. Define and apply the concept of derivative.
5. Apply the appropriate process to find the derivative to include product, quotient, and chain rules.
6. Use derivatives to find solutions to maximum and minimum problems.
7. Find derivatives of algebraic, exponential, logarithmic, and trigonometric functions.
8. Use the appropriate process to find the integral of algebraic, exponential, logarithmic, and trigonometric functions.
9. Use the definite integral to solve area and other applied problems.
10. Employ the graphing calculator for the numerical and graphical solution of problems.
11. Demonstrate proficiency in understanding, interpreting, evaluating, and applying quantitative data and information.
12. Apply mathematical reasoning to analyze social justice problems in a variety of different contexts and consider whether these approaches are just and equitable.


Required Technology

More information on general computer and internet recommendations is available on the CCV computer recommendations Support page.

Please see CCV's Digital Equity Statement (pg. 45) to learn more about CCV's commitment to supporting all students access the technology they need to successfully finish their courses.


Required Textbooks and Resources


*** This is a no cost textbook or resource class. ***

This course only uses free Open Educational Resources (OER) and/or library materials. For details, see the Canvas Site for this class.


Artificial Intelligence(AI) Policy Statement

CCV recognizes that artificial intelligence (AI) and generative AI tools are widely available and becoming embedded in many online writing and creative applications.

Allowed: This course's generative AI policy acknowledges technology, including generative AI, plays a supportive role in learning and feedback. During our class, we may use AI writing tools such as ChatGPT in certain specific cases. You will be informed as to when, where, and how these tools are permitted to be used, along with guidance for attribution. Any use outside of these specific cases constitutes a violation of CCV's Academic Integrity Policy.


Methods

There will be weekly lectures, homework assignments in WebAssign, and discussions. There will be two exams and a final exam. There will also be a final paper.


Evaluation Criteria

Accomplishment of course objectives will be evaluated on the basis of:

Final course grades will be based on grades received on homework (20%), exams (25%), discussions (15%), final paper (15%) and the comprehensive final exam (25%).


Grading Criteria

CCV Letter Grades as outlined in the Evaluation System Policy are assigned according to the following chart:

 HighLow
A+10098
A Less than 9893
A-Less than 9390
B+Less than 9088
B Less than 8883
B-Less than 8380
C+Less than 8078
C Less than 7873
C-Less than 7370
D+Less than 7068
D Less than 6863
D-Less than 6360
FLess than 60 
P10060
NPLess than 600


Weekly Schedule


Week/ModuleTopic  Readings  Assignments
 

1

A Preview of Calculus (2.1),

    
 

2

The Limit of a Function, Limit Laws and Continuity (2.2, 2.3, 2.4))

    
 

3

Defining the Derivative, the Derivative as a Function and Differentiation Rules Derivative as Rate of Change (3.1,3.2,3.3,,3.4)

    
 

4

Derivatives of Trigonometric Functions, the Chain Rule, Derivatives of Inverse Functions (3.5,3.6,3.7)

    
 

5

Implicit Differentiation, Differentiation of Exponential and Logarithmic Functions (3.8,3.9), Exam 1

    
 

6

Related Rates, Linear Approximations and Differentials, and Maxima and Minima (4.1,4.2, 4.3)

    
 

7

The Mean Value Theorem, Derivatives and the Shape of a Graph, Limits at Infinity and Asymptotes (4.4,4.5,4.6)

    
 

8

L'Hospital's Rule, Antiderivatives (4.8,4.10)

    
 

9

Approximating Areas, the Definite Integral, the Fundamental Theorem of Callculus (5.1,5.2,5.3)

    
 

10

Integration Formulas and Substitution (5.4, 5.5), Exam 2

    
 

11

Integration Formulas Involving Exponential and Logarithmic Functions and Integrtation Formulas Involving Inverse Trigonometric Functions (5.6,5.7)

    
 

12

Areas Between Curves and Determining Volumes by Slicing and Volumes of Revolution by Cylindrical Shells (6.1,6.2, 6.3)

    
 

13

Arc Length of.a Curve and Surface Area and Moments and Center of Mass (6.4,6.5)

    
 

14

Integrals, Exponential Functions and Logarithms and Exponential Growth and Decay (6.6,6.7)

    
 

15

Final Exam and Final Paper

    
 

Attendance Policy

Regular attendance and participation in classes are essential for success in and are completion requirements for courses at CCV. A student's failure to meet attendance requirements as specified in course descriptions will normally result in a non-satisfactory grade.

  • In general, missing more than 20% of a course due to absences, lateness or early departures may jeopardize a student's ability to earn a satisfactory final grade.
  • Attending an on-ground or synchronous course means a student appeared in the live classroom for at least a meaningful portion of a given class meeting. Attending an online course means a student posted a discussion forum response, completed a quiz or attempted some other academically required activity. Simply viewing a course item or module does not count as attendance.
  • Meeting the minimum attendance requirement for a course does not mean a student has satisfied the academic requirements for participation, which require students to go above and beyond simply attending a portion of the class. Faculty members will individually determine what constitutes participation in each course they teach and explain in their course descriptions how participation factors into a student's final grade.


Participation Expectations

Students are required to post the solutions to one or more problems each week.



Missing & Late Work Policy

Late work will be accepted if there is a good reaaon and if the instructor is contacted in advance.


Accessibility Services for Students with Disabilities:


CCV strives to mitigate barriers to course access for students with documented disabilities. To request accommodations, please
  1. Provide disability documentation to the Accessibility Coordinator at your academic center. https://ccv.edu/student-support/accessibility-services/
  2. Request an appointment to meet with accessibility coordinator to discuss your request and create an accommodation plan.
  3. Once created, students will share the accommodation plan with faculty. Please note, faculty cannot make disability accommodations outside of this process.


Academic Integrity


CCV has a commitment to honesty and excellence in academic work and expects the same from all students. Academic dishonesty, or cheating, can occur whenever you present -as your own work- something that you did not do. You can also be guilty of cheating if you help someone else cheat. Being unaware of what constitutes academic dishonesty (such as knowing what plagiarism is) does not absolve a student of the responsibility to be honest in his/her academic work. Academic dishonesty is taken very seriously and may lead to dismissal from the College.

Apply Now for this semester.

Register for this semester: March 30 - December 21, 2026