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Course Planning by Program

2024-25

Essential Objectives

Course Syllabus


Revision Date: 26-Apr-24
 

Fall 2024 | MAT-1531-VO01 - 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: 09-03-2024 to 12-16-2024
Last day to drop without a grade: 09-16-2024 - Refund Policy
Last day to withdraw (W grade): 11-04-2024 - Refund Policy
Open Seats: 6 (as of 07-25-24 7:05 AM)
To check live space availability, Search for Courses.

Faculty

Julie Lee
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:
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

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: 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 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

MAT-1531-VO01 Link to Textbooks/Resources Information for this course in eCampus.

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.


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.

Prohibited: The use of generative AI is not allowed in this course, with the exception of spellcheck, grammar check and similar tools. This course rests in the value of students engaging in the learning process without relying on AI-generated content. Students will develop critical thinking and problem-solving skills independently, owning their learning journey from start to finish. If you use these tools, your actions would be considered academically dishonest and a violation of CCV's Academic Integrity Policy.


Methods

This online coursewill begin on a Tuesday and ends Monday night at midnight. Every Tuesday morning at 12:01 am, we will have a new week of material to cover.

(a) Homework will be posted each week. You will do the homework in MyMathLab. It will be student’s responsibility to complete and understand all homework. We will be using much of the discussion forum to talk about homework problems. See ‘Participation’ below for more information.

(b) Quizzes will be assigned on Tuesdays and due the following Monday, any time before midnight. Contact me, Julie.Lee@ccv.edu, if you have any question. I will the due date listed on each quiz. You will be able access the quizzes through the Assignment button. You will do the quizzes in MyMathLab. These quizzes will have14 to 35 questions with a time limit of 2 to 4 hours. Once you begin a quiz, it must be completed. Make sure that you are ready to take it when you click on the link for it.

We have 11 scheduled quizzes. I will only count the best 10 of them towards your final score. I will drop your lowest quiz score or you can miss a quiz.

(c) Exams will be posted 1 week before the due date. Exams must be done individually. Please contact me through email if you have any question.

(d) Participation is very important in this online course. I will be posting weekly discussions. It will be your responsibility to respond to each of the discussions. You can find the Weekly Discussion in Discussion Forum. We will be using the weekly discussion to talk about the homework and special topics related to that particular week’s material.

The weekly discussions are a great way to build a community of online learners for the whole class. I am hoping to use weekly discussions to help everyone in this online class. I will be facilitating the weekly discussions. I also would like to encourage everyone to ask questions and/or provide an answer to a particular problem. So, this will enhance your mathematical knowledge and help to build a community of learners.


Evaluation Criteria

The student’s grade will be determined by the following:

Three exams posted in Canvas = 60%

Weekly MML quizzes = 15%

Weekly MML homework = 10%

participation and attendance = 15%

(Participation and attendance include completing the questions in weekly discussion forums and additional homework posted in Canvas.)

Late Policy: Assignments are due on the due date. There is no exception to this rule. If you experience an extenuating circumstance that prevents you from meeting a due date, please contact me.

Late submission penalty for all assignments:

10% off for one day late,

20% off for two days late,

30% off for three days late,

Zero grade for one week late.

Grading Scheme:

A+ 98-100 A 93-97 A- 90-92

B+ 88-89 B 83-87 B- 80-82

C+ 78-79 C 73-77 C-70-72

D+ 68-69 D 63-67 D- 60-62

F 0-59

P Pass NP No Pass


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

1.1 Functions and Their Graphs

1.2 Combining Functions; Shifting and Scaling Graphs

1.3 Trigonometric Functions

    
 

2

1.4 Graphing with Calculator and Computers

1.5 Exponential Functions

1.6 Inverse Functions and Logarithms

    
 

3

2.1 Rates of Change and Tangents to Curves

2.2 Limit of a Function and Limit Laws

2.3 Precise Definition of a Limit

    
 

4

2.4 One-Sides Limits

2.5 Continuity

2.6 Limits Involving Infinity, Asymptotes of Graphs

    
 

5

Exam #1

3.1 Tangents and the Derivative at a Point

    
 

6

3.2 The Derivative as a Function

3.3 Rules for Polynomials, Exponentials, Products, and Quotients

3.4 The Derivative as a Rate of Change

    
 

7

3.5 Derivatives of Trigonometric Functions

3.6 The Chain Rule

    
 

8

3.7 Implicit Differentiation

3.8 Derivatives of Inverse Functions and Logarithms

3.9 Inverse Trigonometric Functions

    
 

9

3.10 Related Rates

3.11 Linearization and Differentials

    
 

10

Exam #2

4.1 Extreme Values of Functions

4.2 The Mean Value Theorem

    
 

11

4.3 Monotonic Functions and the First Derivative Test

4.4 Concavity and Curve Sketching

4.5 Indeterminate Forms and L’Hopital’s Rule

    
 

12

5.1 Area and Estimating with Finite Sums

5.2 Sigma Notation and Limits of Finite Sums

    
 

13

5.3 The Definite Integral

5.4 The Fundamental Theorem of Calculus

    
 

14

5.5 Indefinite Integrals and the Substitution

5.6 Substitution and Area Between Curves

    
 

15

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.

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.