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No Cost Textbook/Resources Courses

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Low Cost Textbook/Resources Courses

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Course Planning by Program

2024-25

Essential Objectives

Course Syllabus


Revision Date: 02-Jul-24
 

Fall 2024 | MAT-1330-VU01 - Pre-Calculus Mathematics


In Person Class

Standard courses meet in person at CCV centers, typically once each week for the duration of the semester.

Location: Winooski
Credits: 4
Day/Times: Tuesday & Thursday, 11:45A - 01:45P
Semester Dates: 09-03-2024 to 12-12-2024
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: 12 (as of 07-21-24 4:05 PM)
To check live space availability, Search for Courses.

Faculty

Warren Ellison
View Faculty Credentials
View Faculty Statement
Hiring Coordinator for this course: Nick Molander

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 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 course uses one or more textbooks/books/simulations.

Fall 2024 textbook details will be available on 2024-05-20. 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-1330-VU01 Link to Textbooks 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.


Methods

1.Biweekly lectures with discussion, guided excercises and homework review.

2. Biweekly homework problem sets from the textbook.

3. Occasional quizzes and a cumulative final exam.

4. Numerical calculations, manipulations, and graphing will be done by pencil, brain, and machine. A graphing calculator is not essential, but may certainly help to envision certain functions (graphing calculators may perhaps be available from the college on a lottery basis. A good calculator for the course should be able to figure roots and exponentials, have logarithmic capabilities (natural log, base ten log, and their inverses), and the full range of standard trigonometric abilities (sine, cosine, and tangent as well as their inverses).


Evaluation Criteria

20% Homework

10% Class Participation and Attitude

40% Quizzes

30% Final Exam


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

Introduction & getting started

Linear & Quadratic inequalities, absolute values, circles

  

Aufman & Nation chapter 1

  

Problem sets

 

2

Graphical transformations, algebra of functions

  

Aufman & Nation chapter 1

  

Problem sets

 

3

Conic sections - parabolas, hyperbolas, ellipses

  

Aufman & Nation chapter 6 section 1

  

Problem sets

 

4

Complex numbers, polynomial & synthetic division

  

Aufman & Nation chapter 2

  

Chapter 1 & 6.1 quiz, problem sets

 

5

The Factor and Remainder theorems, graphing & finding zeros of polynomials, rational functions and their asymptotes

  

Aufman & Nation chapter 2

  

Problem sets

 

6

Arithmetic and geometric series, mathematical induction & the calculus of differences

  

Aufman & Nation chapter 6.4 & supplemental handouts

  

Problem sets

 

7

Angles & radian measure, intro to trigonometry with right angles

  

Aufman & Nation chapter 4 & 5

  

Chapter 2 & 6.4 quiz, problem sets

 

8

Trig functions & unit circles, graphing trig functions

  

Aufman & Nation chapter 4

  

Problem sets

 

9

Trigonometric identities, double & half-angle formulas

  

Aufman & Nation chapter 5

  

Problem sets

 

10

Inverse functions, solving trigonometric equations

  

Aufman & Nation chapter 3 & 5

  

Problem sets

 

11

The laws of sines and cosines, and trigonometric catch-up

  

Aufman & Nation chapter 5

  

Chapter 4.1 - 5.3 quiz, problem sets

 

12

Exponential and logarithmic functions

  

Aufman & Nation chapter 3

  

Problem sets

 

13

Logarithmic manipulations and change of base rules, natural logs and e

  

Aufman & Nation chapter 3

  

Problem sets

 

14

Solving exponential & logarithmic equations and applications

  

Aufman & Nation chapter 3

  

Problem sets

 

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

In-person classes work best when everyone is present and actively engaged. To that end, I ask that you attend classes, prepare for classes by reading the textbook and doing practice problems, turn in assignments on time, work on problems when class time is devoted to them, be considerate of others who are trying to solve problems, ask questions and try to help others who ask questions. Be kind, understanding and respectful.

Please avoid activities that distract from a good learning environment. Examples of this might be frequently showing up for class late, using electronic devices during class time, not doing assignments or being unprepared for class, or not respecting the ideas or views of another person in the class. I feel these types of behaviors harm the learning environment and ultimately slow down the pace of the course to everyone's detriment.



Missing & Late Work Policy

Grades are based on performance. That performance will be judged based on your quality of coming to class, behaving with a proper & respectful attitude, doing class/home work, submitting assignments, and taking quizzes/tests. All of these activities work together to create a successful learning experience.

If students are absent or non-attentive, if homework is late, neglected or missing, or if quizzes/tests are skipped, the results of the semester simply won't be rewarding.

So... Please be responsible and do the work needed to be a successful student. It is the responsibility of every student to communicate their needs to the teacher. If for some reason a student needs to be absent, an assignment needs an extension, or a test needs to be postponed, it is required that the student work out a plan with the teacher before the situation arises or the due date occurs. Hopefully an amenable resolution can be found.

There is a limit, however. Credit is not given for homework problem sets after solution sets have been distributed. Late assignments are not accepted after their associated tests have been given. The point of doing problem sets and homework is to give students time to practice the material and get feedback before examinations. Turning in preparatory material after solutions are given or when feedback can not be helpful for better test-taking seems counter productive.

Speak with the teacher about difficulties and extenuating situations. Communication usually makes all the difference.


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.