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Essential Objectives

Course Syllabus

Revision Date: 09-Apr-23

Summer 2023 | MAT-1330-VO01 - Pre-Calculus Mathematics

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: 05-23-2023 to 08-14-2023
Last day to drop without a grade: 06-12-2023 - Refund Policy
Last day to withdraw (W grade): 07-10-2023 - Refund Policy
This course has started, please contact the offering academic center about registration


Dan Lemay
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 21-22 and later:
  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 study of the functions used in calculus, including the exponential, logarithmic, and trigonometric functions. Students must take a math assessment for placement purposes prior to registration. Prerequisite: College Algebra or equivalent skills.

Essential Objectives

1. Solve systems of equations and inequalities.
2. Define and apply properties of linear, quadratic, polynomial, rational, and inverse functions.
3. Define and graph exponential and logarithmic functions.
4. Solve exponential and logarithmic equations and problems of growth and decay.
5. Define and graph trigonometric functions.
6. Simplify trigonometric expressions using trigonometric identities.
7. Use trigonometric identities and equations in application problems.
8. Recognize arithmetic and geometric sequences and associate corresponding key formulas.
9. Use the Principle of Mathematical Induction.
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

*** 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.


Each section we cover will have a set of lecture notes and an accompanying video for you to watch and see some worked examples. If this is your learning style, use it.

There are a set of recommended, ungraded paper based exercises from the textbook for you to choose to complete. I recommend doing them as getting that practice will speed along the graded online exercise sets.

The graded work will be an online set of exercises that you will need to complete each week. Sometimes, you have a correct answer but the online HW system does not recognize your answer as correct. Because of these errors, I grade HW practice exercise sets at full credit as long as you try every exercise and earn at least a 70%.

Most of the online exercises have an accompanying video help.

And I am available for online office hour help via ZOOM. It is as good or even better as being in the same room as we do not have to look at the same computer screen. See the front page of the Canvas course for details.

Evaluation Criteria

Evaluation Criteria:

Forty Percent (40%) from 2 Exams. These exams will be two part exams, one with an online component that is auto graded and a second part that you will have to show work and get me a copy of your work. These exams are not cumulative.

Ten Percent (10%) from weekly online problem sets.

Each week you will have a set of online My Open Math style HW assignments to complete.

Ten Percent (10%) : Presentations: Each week you are responsible to make at least two (2) attendance posts in the current week's discussion board. Your first post must occur before Saturday night each week you will lose half of the attendance points for the week if you miss this deadline.

These attendance posts can be in the form where

  • You need some help with HW exercises (showing work really is needed to be effective)
  • You can provide help to someone else
  • You can make a post to an even numbered exercise from the week's assigned sections in the textbook. You must show work. Just posting an answer is not a presentation.

Do not post questions about quiz/exam items. Please email me these kind of questions.

Forty Percent (40%) (8 @ 50 points each) Weekly quizzes.

Letter Grade Equivalents

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 Less than 60

Grading Criteria

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

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 
NPLess than 600

Weekly Schedule

Week/ModuleTopic  Readings  Assignments


Define and apply general properties of functions.


Lippman/Rasmussen Sections 1.1 through 1.5


Ungraded: Textbook exercises (See Canvas>Modules>Week 1) for what to do

Graded: MyOpenMath Exercises (See Canvas>Modules>Week 1)

Discussion Forum Posts (2) (See Canvas>Modules>Week 1 Overview)



Define and apply properties of functions, specifically linear and absolute value.


Lippmann/Rasmussen Sections

Section 1.6

Review Sections 2.1 – 2.3 (no exercises assigned, you should remember this linear function work from earlier coursework

Section 2.4

Section 2.5

Section 3.1 Working with polynomials


Ungraded: Textbook exercises (See Canvas>Modules>Week 2 ) for what to do


MyOpenMath Exercises (See Canvas>Modules>Week 2)

Quiz 1

Discussion Forum Posts (2) (See Canvas>Modules>Week 2 Overview)



Define and apply properties of absolute value, quadratic and polynomial functions.


Section 3.1

Section 3.2

Section 3.3

Sections 3.4/3.5/3.6 all wrapped into one.


Quiz 2

Ungraded: Textbook exercises (See Canvas>Modules>Week 3 Overview) for what to do

Graded: MyOpenMath Exercises (See Canvas>Modules>Week 3)

Discussion Forum Posts (2) (See Canvas>Modules>Week 3 Overview)



Define and apply properties of polynomial, rational and inverse functions.
Working with Exponential functions



Sec 3.7

Sec 3.8

Sec 4.1

Sec 4.2


Ungraded: Textbook exercises (See Canvas>Modules>Week 4) for what to do


Quiz 3

MyOpenMath Exercises (See Canvas>Modules>Week 4)

Discussion Forum Posts (2) (See Canvas>Modules>Week 4 Overview)



Define and graph exponential and logarithmic functions.

Solve exponential and logarithmic equations and problems of growth and decay.



Section 4.3

Section 4.4

Section 4.5

Section 4.6


Ungraded: Textbook exercises (See Canvas>Modules>Week 5) for what to do

Quiz 4

Graded: MyOpenMath Exercises (See Canvas>Modules>Week 5)

Discussion Forum Posts (2) (See Canvas>Modules>Week 5 Overview)




No new material


Practice Exam


Exam 1



Define trigonometric relationships.


Working with angles

Section 5.1

Section 5.2

Section 5.3


Ungraded: Textbook exercises (See Canvas>Modules>Week 7) for what to do

Graded: MyOpenMath Exercises (See Canvas>Modules>Week 7)

Discussion Forum Posts (2) (See Canvas>Modules>Week 7 Overview)



Define and graph trigonometric functions.

Use trigonometric identities



Section 5.4

Section 5.5

Section 6.1

Section 6.2


Ungraded: Textbook exercises (See Canvas>Modules>Week 8) for what to do

Quiz 5

Graded: MyOpenMath Exercises (See Canvas>Modules>Week 8)

Discussion Forum Posts (2) (See Canvas>Modules>Week 8 Overview)



Define and graph trigonometric functions.

Use trigonometric identities and equations in application problems.



Sections 6.3

Section 6.4

Section 6.5

Section 7.1 (and the double angle identities from Section 7.2)


Canvas>Modules>Week 9) for what to do

Quiz 6

Graded: MyOpenMath Exercises (See Canvas>Modules>Week 9)

Discussion Forum Posts (2) (See Canvas>Modules>Week 9 Overview)



Use trigonometric identities and equations in application problems.

Solve systems of equations and inequalities


Lippmann/Rasmussen Sec 8.1

Non-Lippman sections

Solving systems of linear equations using inverse matrices

Solving non-linear systems of equations


Ungraded: Textbook exercises (See Canvas>Modules>Week 10) for what to do

Quiz 7

Graded: MyOpenMath Exercises (See Canvas>Modules>Week 10)

Discussion Forum Posts (2) (See Canvas>Modules>Week 10 Overview)



Recognize arithmetic and geometric sequences and associate corresponding key formulas.

Use the Principle of Mathematical Induction.


Non-Lippman Sections

Arithmetic and geometric sequences and series.

Proof by Mathematical Induction


Ungraded: Textbook exercises (See Canvas>Modules>Week 11) for what to do

Graded: MyOpenMath Exercises (See Canvas>Modules>Week 11)

Quiz 8

Discussion Forum Posts (2) (See Canvas>Modules>Week 11 Overview)



Exam 2


Practice Exam


Exam 2


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

For CCV Attendance purposes you must do some work each week with in the current week's window. Online exercises or discussion board posts, quiz/exam. If you fail to complete any work, I mark you as absent for CCV. This can affect your financial aid eligibility.

Missing & Late Work Policy

If you miss the weekly discussion forum post deadlines, those cannot be made up. Once a deadline closes, you are talking in an empty room. If you miss a forum post because an unforeseen family emergency, email me privately.

For all other assignments, you will need prior approval to complete something late. Again if you miss a deadline due to an unforeseen family emergency, email me privately.

Each week runs from Midnight Tuesday morning through the next Monday night at midnight.

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.