Spring 2023  MAT1531VO01  Calculus I
Online Class
Online courses take place 100% online via Canvas, without required inperson or Zoom meetings.
Location: Online
Credits: 4
Day/Times: Meets online
Semester Dates: 01242023 to 05082023
Last day to drop without a grade: 02122023  Refund Policy
Last day to withdraw (W grade): 03262023  Refund Policy
This course has started, please contact the offering academic center about registration
Faculty
Warren Sides
View Faculty Credentials
View Faculty Statement
Hiring Coordinator for this course: Julie Dalley
General Education Requirements
This section meets the following VSC General Education Requirement(s) for Catalog Year 2122 and later:
Mathematics
Note
 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.
 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. Students must take a math assessment for placement purposes prior to registration. Prerequisite: PreCalculus 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 IT Support page. https://support.ccv.edu/general/computerrecommendations/
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 course uses one or more textbooks/books/simulations.
Spring 2023 textbook details will be available on 20221114. On that date a link will be available below that will take you to eCampus, CCV's bookstore. The information provided there will be specific to this class. Please see this page for more information regarding the purchase of textbooks/books.
The last day to use a Financial Aid Advance to purchase textbooks/books is the 3rd Tuesday of the semester. See your financial aid counselor at your academic center if you have any questions.
Methods
This course is set up as a guided tutorial. Students explore the weekly materials and attempt the homework. The class will use Canvas (CCV's learning platform) and WebAssign (paid publisher website). The professor is available through discussion and email when questions arise.
Class materials will be available in the following ways:
 General Information
 Information about the class (grades, announcements, due dates, etc.) and the topics covered will be presented in Canvas.
 Canvas is the primary source of class information and students should check Canvas before reading the text and attempting homework.
 Textbook Readings and Homework
 The eBook is available in WebAssign and, for free, through OpenStax.org. There is no need to purchase a hard copy of the text. Students are encouraged to read each section that is covered.
 Each section of the text will have a corresponding homework associated with it. The homework is also available in WebAssign. Registration and purchasing information is available in Canvas.
 Additional Resources and Discussions
 Videos, websites, and other digital resources will be posted in Canvas. Students are encouraged to use these in addition to the textbook.
 Online discussions will be facilitated in Canvas. Discussions are mandatory.
 Exams
 Every few weeks, there will be an exam to assess the knowledge obtained through reading, homework, videos, and discussions.
The best classroom is one where every student feels that they can ask questions and contribute to discussions so please be curious and respectful.
Evaluation Criteria
 Discussions (20%)
 Students are required to participate in discussions each week as detailed in the document, "About Discussions" available in Canvas. Discussions can be used to help with homework or to help find new resources. Discussions during exam weeks are not mandatory.
 Homework (20%)
 Assignments are done in WebAssign and are meant as practice for the skills learned through reading and discussions. Multiple attempts are allowed for each question, and due dates are "flexible". Expect to complete 3  4 sections of homework each week. That is about 75  100 questions of varying difficulty. There is no homework during exam weeks.
 Exams (20% each)
 There will be three (3) exams throughout the semester. Each exam covers a unit of the course. These exams will be documents in Canvas and will be graded once (no retakes) similar to how a paper exam would be graded. Students will have the entire week to complete the exam and no homework or discussions are expected during this time.
Grading Criteria
CCV Letter Grades as outlined in the Evaluation System Policy are assigned according to the following chart:
 High  Low 
A+  100  98 
A  Less than 98  93 
A  Less than 93  90 
B+  Less than 90  88 
B  Less than 88  83 
B  Less than 83  80 
C+  Less than 80  78 
C  Less than 78  73 
C  Less than 73  70 
D+  Less than 70  68 
D  Less than 68  63 
D  Less than 63  60 
F  Less than 60  
P  100  60 
NP  Less than 60  0 
Weekly Schedule
Week/Module  Topic   Readings   Assignments 

1  Functions (including Trigonometry)   1.1 Review of Functions
1.2 Basic Classes of Functions
1.3 Trigonometric Functions
  Week 1 Discussion
Three (3) Homework Assignments 

2  More Functions   1.4 Inverse Functions
1.5 Exponential and Logarithmic Functions   Week 2 Discussion
Two (2) Homework Assignments 

3  Limits and Continuity   2.2 The Limit of a Function
2.3 The Limit Laws
2.4 Continuity
  Week 3 Discussion
Three (3) Homework Assignments 

4  Tangent Lines and Derivatives   3.1 Defining the Derivative
3.2 The Derivative as a Function   Week 4 Discussion
Two (2) Homework Assignments 

5  Exam #1   Exam #1   Exam #1 

6  Differentiation Rules   3.3 Differentiation Rules
3.4 Derivatives as Rates of Change
3.5 Derivatives of Trigonometric Functions
  Week 6 Discussion
Three (3) Homework Assignments 

7  The Chain Rule   3.6 The Chain Rule
3.7 Derivatives of Inverse Functions
  Week 7 Discussion
Two (2) Homework Assignments 

8  Implicit Differentiation   3.8 Implicit Differentiation
3.9 Derivatives of Exponential and Logarithmic Functions
  Week 8 Discussion
Two (2) Homework Assignments 

9  Graphing with Calculus   4.3 Maxima and Minima
4.5 Derivatives and the Shape of a Graph
4.6 Limits at Infinity and Asymptotes
4.8 L’Hôpital’s Rule
  Week 9 Discussions
Four (4) Homework Assignments 

10  Exam #2   Exam #2   Exam #2 

11  Applications of the Derivative   4.1 Related Rates
4.7 Applied Optimization Problems
  Week 11 Discussion
Two (2) Homework Assignments 

12  Antiderivatives and Areas   4.10 Antiderivatives
5.1 Approximating Areas
5.2 The Definite Integral
  Week 12 Discussion
Three (3) Homework Assignments 

13  The Fundamental Theorem of Calculus   5.3 The Fundamental Theorem of Calculus
5.4 Integration Formulas and the Net Change Theorem   Week 13 Discussions
Two (2) Homework Assignments 

14  Substitution Method   5.5 Substitution
5.6 Integrals Involving Exponential and Logarithmic Functions
6.1 Areas between Curves
  Week 14 Discussion
Three (3) Homework Assignments 

15  Exam #3   Exam #3   Exam #3 

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 nonsatisfactory 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 onground 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
Since this is an online course, students' participation will be determined based on posting in online discussions. For this reason, discussions are a graded portion of the course (see "evaluation criteria" section of this course description).
Missing & Late Work Policy
Students will not receive credit for a week's discussion if they post after that week has ended. Our week begins on Tuesday (12:00 AM) and ends on Monday (11:59 PM).
It is expected that students keep up with the due dates for homework, but extensions are available without penalty.
There is only one submission for the exams and there are no makeups. Extensions will only be granted in extreme circumstances.
Accessibility Services for Students with Disabilities:
CCV strives to mitigate barriers to course access for students with documented disabilities. To request accommodations, please

Provide disability documentation to the Accessibility Coordinator at your academic center. https://ccv.edu/discoverresources/studentswithdisabilities/

Request an appointment to meet with accessibility coordinator to discuss your request and create an accommodation plan.

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.
