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Course Planning by Program

2024-25

Essential Objectives

Course Syllabus


Revision Date: 18-Dec-23
 

Spring 2024 | MAT-2532-VO01 - Calculus II


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: 01-23-2024 to 05-06-2024
Last day to drop without a grade: 02-11-2024 - Refund Policy
Last day to withdraw (W grade): 03-24-2024 - 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 CCV General Education Requirement(s) for the current catalog year:
VSCS 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

Includes techniques and applications of integration, indeterminate forms and improper integrals, sequences and series. Prerequisite: Calculus I or equivalent transfer course.


Essential Objectives

1. Define and explain the use of integration (antidifferentiation).
2. Understand and use the Fundamental Theorem of Calculus.
3. Find the definite, indefinite, and improper integrals.
4. Integrate transcendental functions (trigonometric exponential, logarithmic and hyperbolic functions).
5. Evaluate definite integrals using approximation techniques.
6. Solve differential equations in one and two variables.
7. Apply integration to appropriate problem solving.
8. Employ the graphing calculator for the numerical and graphical solution of problems.
9. Demonstrate proficiency in understanding, interpreting, evaluating and applying quantitative data and information.


Required Technology

More information on general computer and internet recommendations is available on the CCV IT Support page. https://support.ccv.edu/general/computer-recommendations/

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, along with free Open Educational Resources (OER) and/or library materials.

Spring 2024 textbook/book details will be available on 2023-11-06. 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.

MAT-2532-VO01 Link to Textbooks for this course in eCampus.

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

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 regularly 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 for WebAssign 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 and count toward attendance.
  • 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. Weekly discussion postings will count as attendance. 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 PDF documents in Canvas and will be graded once (no re-takes) 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:

 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

Applications of Integration

  

6.1 Areas Between Curves

6.2 Determining Volume by Slicing

6.3 Volumes of Revolution: Cylindrical Shells

  

Week 1 Discussion

Three (3) Homework Assignments

 

2

More Applications and Techniques

  

6.4 Arc Length of a Curve and Surface Area

7.1 Integration by Parts

  

Week 2 Discussion

Two (2) Homework Assignments

 

3

More Integration Techniques

  

7.2 Trigonometric Integrals

7.3 Trigonometric Substitution

  

Week 3 Discussion

Two (2) Homework Assignments

 

4

Even More Integration Techniques

  

7.4 Partial Fractions

7.7 Improper Integrals

  

Week 4 Discussion

Two (2) Homework Assignments

 

5

Exam #1

  

Exam #1

  

Exam #1

 

6

Differential Equations

  

8.1 Basics of Differential Equations

8.2 Direction Fields and Numerical Methods

8.3 Separable Equations

  

Week 6 Discussion

Three (3) Homework Assignments

 

7

More Differential Equations

  

8.4 The Logistic Equation

8.5 First-Order Linear Equations

  

Week 7 Discussion

Two (2) Homework Assignments

 

8

Sequences and Series

  

9.1 Sequences

9.2 Infinite Series

9.3 The Divergence and Integral Tests

  

Week 8 Discussion

Three (3) Homework Assignments

 

9

Series Tests

  

9.4 Comparison Tests

9.5 Alternating Series

9.6 Ratio and Root Tests

  

Week 9 Discussions

Three (3) Homework Assignments

 

10

Exam #2

  

Exam #2

  

Exam #2

 

11

Power Series

  

10.1 Power Series and Functions

10.2 Properties of Power Series

  

Week 11 Discussion

Two (2) Homework Assignments

 

12

Taylor and Maclaurin Series

  

10.3 Taylor and Maclaurin Series

10.4 Working with Taylor Series

  

Week 12 Discussion

Two (2) Homework Assignments

 

13

Parametric Equations

  

11.1 Parametric Equations

11.2 Calculus of PAraetric Curves

  

Week 13 Discussions

Two (2) Homework Assignments

 

14

Polar Coordinates

  

11.3 Polar Coordinates

11.4 Area and Arc Length in Polar Coordinates

  

Week 14 Discussion

Two (2) 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 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

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) and attendance will be aligned with discussion postings.



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 make-ups. 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
  1. Provide disability documentation to the Accessibility Coordinator at your academic center. https://ccv.edu/discover-resources/students-with-disabilities/
  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.