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Course Planning by Program

2024-25

Essential Objectives

Course Syllabus


Revision Date: 08-Aug-24
 

Fall 2024 | MAT-1030-VO04 - Applied Math Concepts


Online Class

Online courses take place 100% online via Canvas, without required in-person or Zoom meetings.

Location: Online
Credits: 3 (45 hours)
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
This course has started, please contact the offering academic center about registration

Faculty

Tomas Ketcham
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

This course develops students’ ability to think quantitatively and use mathematics as a problem-solving tool in their professional and personal lives. Mathematical applications are selected from a range of business, human services, health, and political topics. Concepts include: set theory, visual representation of data, operations in the real number system, geometry, linear and nonlinear equations, linear systems, personal finance, probability, and statistics. Students must take a math assessment for placement purposes prior to registration. Prerequisite: Math & Algebra for College or equivalent skills.


Essential Objectives

1. Apply basic concepts of set theory and use Venn diagrams to solve problems related to surveys and probabilities.
2. Utilize real number system operations (fractions, decimals, percentages, ratios, proportions, and unit conversions) in the interpretation and analysis of problems from a variety of fields.
3. Analyze and interpret linear and nonlinear relationships using graphs and equations and apply algebraic techniques and models to a variety of problems.
4. Apply geometric concepts including angles, areas, volumes, and the Pythagorean Theorem.
5. Examine and apply the concepts of probabilities using a variety of methods including counting techniques, frequency tables, probability distributions, pie charts, written summaries, and graphs.
6. Apply basic statistics, using sampling, tables, charts, graphs, means, standard deviation and normal distribution, to interpret and draw conclusions from data.
7. Compute and analyze the impacts of simple and compound interest, and analyze finance applications related to savings, taxes, discounts, loans, and purchases.
8. Select and perform appropriate procedures to solve mathematical problems arising in various disciplines and demonstrate proficiency in interpreting, evaluating, and presenting quantitative data and information.
9. Demonstrate proficiency on the quantitative reasoning graduation assessment.
10. Apply quantitative 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.


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

1.Students will be expected to watch and take notes on video lessons, work through digital activities, complete weekly quizzes, and complete regular practice problems and projects.

2.Weekly discussion boards will consist of sharing problems and solutions with the class. Each week, the student will choose problems from the assignments to post, depending on the criteria provided by the teacher, highlighting aspects that stood out to them or that they had a challenge with.

3. Homework will be assigned from the textbook. The student is expected to complete all homework the week it is assigned, in preparation for exams.

4. There will be weekly quizzes (except on and after exam weeks) based on the previous week's material.

5. There will be practice exams prior to each real (graded) exam. The real exams will be similar to the practice exams.


Evaluation Criteria

1. There will be 3 exams in this course worth a total of 45 % of the final grade.

2. There will be 4 projects worth a total of 20% of the final grade.

3. Canvas Discussion Participation/Attendance accounts for the final 20% of the grade.

4. Most weeks there will be a short quiz on the prior week's material, accounting for 15% of the grade.

Evaluation Breakdown:

Exams: 45%

Projects: 20%

Canvas Discussion Participation: 20%

Quizzes: 15%


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) Welcome and Course Introduction.

2) Review of factors, multiples, place values, order of operations, algebraic representations.

    

1) Introduce yourself discussion forum participation.

2) Completion of assigned HW problems

3) HW discussion forum participation

 

2

Working with fractions, decimals, square roots, unit conversions, and types of numbers.

    

1) Short Quiz on Week 1 material

2) Completion of assigned HW problems.

3) HW discussion forum participation.

 

3

Solve multi-step equations and inequalities. Solve for a specific variable in a literal equation.

    

1) Short quiz on week 2 material.

2) Completion of assigned HW problems.

3) HW discussion forum participation.

 

4

Graphing linear equations and inequalities.

Modeling using equations and inequalities.

Graphing systems of linear inequalities.

    

1) Short Quiz on Week 3 material

2) Completion of assigned HW problems.

3) HW discussion forum participation.

 

5

Apply what we have learned through week 4 to profit, revenue, and costs models. Apply what we have learned to linear programming and profit optimization.

Review for Exam 1.

    

1) Linear Programming: Project 1

2) Complete review guide.

2) HW discussion forum participation.

 

6

Exam 1: Material from weeks 1-5

    

Exam 1

 

7

Introduction to visual representations of data (box and whisker, stem and leaf, histograms, frequency tables, etc)

Introduction to central tendencies, quartiles, and creating box and whisker plots.

    

1) Completion of assigned HW problems.

2) HW discussion forum participation.

 

8

Analyzing normally distributed data and finding percentiles.

Analyzing a Normally Distributed Data Set: Project 2.

    

1) Short Quiz on Week 7 material

2) Analyzing a Normally Distributed Data Set: Project 2.

3) HW discussion forum participation.

 

9

Introduction to empirical and theoretical probability.

Venn and Tree Diagrams.

And/Or Probabilities.

    

1) Short Quiz on Week 8 material

2) Completion of assigned HW problems.

3) HW discussion forum participation.

 

10

Applications of probability and statistics.

Review Material covered in weeks 7-9.

    

1) Short Quiz on Week 9 material.

2) Completion of Exam 2 Review.

3) HW discussion forum participation.

 

11

Exam 2, covering material from weeks 7-10.

    

Exam 2.

 

12

Personal finance, including simple and compound interest, personal loans, retirement savings, mortgages, annuities and perpetuities.

Comparing Car Purchase Options: Project 3.

    

1) Comparing Car Purchase Options: Project 3.

2) Completion of assigned HW problems.

3) HW discussion forum participation.

 

13

Weighted Voting Power. Fair Division. Representational Apportionment. Scheduling Optimization Theory.

    

1) Short Quiz on Week 12 material.

2) Completion of assigned HW problems.

3) HW discussion forum participation.

 

14

Exploring a Civics Application Topic: Project 4.

Review for Final Exam.

    

1) Exploring a Civics Application Topic: Project 4.

2) Final Exam Review

3) HW discussion forum participation.

 

15

Final Exam

    

Final Exam

 

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

This course will be conducted asynchronously, via Canvas LMS. Though you will have flexibility on when you engage with the material and assignments, consistent participation multiple times a week will be required. The course is not self paced, and will have multiple deadlines a week that must be tackled during that week, on multiple separate days (you will not be able to complete the week/ total course early or at the last moment). All assignment openings and deadlines will be posted at the start of the semester, with weekly reminders of upcoming assignments. Your attendance will be monitored by your timely completion and submission of each module, assignment, and participation in the discussion forums.



Missing & Late Work Policy

Late assignments that are completed independently (projects and exams) will see a deduction of 5% per day late. Late assignments that require interaction with other students will see a 10% deduction per day, as your lateness prevvents your peers from engaging with your work. If you have extenuating circumstances that you think might impact your ability to complete assignments in a timely manner, please reach out to me directly.

Missing assignments that are significantly late may be available for submission for half credit.


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.