Untitled

APPLY NOW

Web Schedules

Fall 2025
Spring 2025
Summer 2025

One Credit Courses

Fall 2025
Spring 2025
Summer 2025

No Cost Textbook/Resources Courses

Fall 2025
Spring 2025
Summer 2025

Low Cost Textbook/Resources Courses

Fall 2025
Spring 2025
Summer 2025

Course Planning by Program

2025-26

Essential Objectives

Course Syllabus


Revision Date: 13-Jan-25
 

Spring 2025 | MAT-1030-VO08 - 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: 01-21-2025 to 05-05-2025
Last day to drop without a grade: 02-03-2025 - Refund Policy
Last day to withdraw (W grade): 03-24-2025 - 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 computer recommendations Support page.

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. These discussion boards will require responses as well.

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

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

5. There will be regularly scheduled projects, some short ones and some larger more complex ones.


Evaluation Criteria

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

2. There will be many projects worth a total of 20% of the final grade. Different projects will be worth different total points, depending on their length and complexity.

3. Most weeks there will be a short quiz on the prior week's material, accounting for 10% of the grade.

4. Canvas Discussion Participation/Attendance accounts for the final 25% of the grade.

Evaluation Breakdown:

Exams: 45%

Projects: 20%

Canvas Discussion Participation: 25%

Quizzes: 10%


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 diagnostic quizzes,

3) Notes on review material

 

2
  1. Use place value with whole numbers and decimals.
  2. Identify multiples and apply divisibility tests.
  3. Find prime factorizations and least common multiples.
  4. Simplify expressions using the order of operations, distributive property, like terms, and absolute values.
  5. Convert decimals to fractions.
  6. Find equivalent fractions, simplify fractions, multiply fractions, divide fractions.
  7. Add and subtract fractions.
    

1) Short quizzes on reviewed material.

2) Completion of assigned HW problems.

3) HW discussion forum participation.

 

3
  1. Simplify expressions with square roots.
  2. Make unit conversions in the US (imperial) and metric systems.
  3. Verify a solution of an equation.
  4. Solve equations using the subtraction and addition properties of equality.
  5. Solve equations that require simplification.
  6. Solve equations using the division and multiplication properties of equality.
  7. Solve equations with fractions and decimals.
  8. Solve linear equations and inequalities.
  9. Solve a formula for a specified variable.
    

1) Mini Project 1 on Linear Pricing

2) Completion of assigned HW problems.

3) HW discussion forum participation.

4) Short Quizzes on previous weeks material.

 

4
  1. Verify solutions to an equation in two variables.
  2. Find the slope of horizontal and vertical lines.
  3. Use the slope formula to find the slope of a line between two points.
  4. Graph a line given a point and the slope.
  5. Graph linear equations in slope intercept form.
  6. Graph linear equations in standard form using intercepts.
  7. Graph linear inequalities.
    

1) Short Quizzes

2) Completion of assigned HW problems.

3) HW discussion forum participation.

4) Mini project 1 continued.

 

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

Linear Programming Project

    

1) Exam 1

2) Linear Programming Project Continued

 

7
  1. Display data and graphically interpret graphs, stem plots, histograms, and box plots.
  2. Recognize, describe, and calculate the measures of location of data, quantiles, and percentiles.
  3. Recognize, describe, and calculate the measures of center of data: mean, median and mode.
  4. Recognize, describe, and calculate the measures of spread of data: variance, standard deviation, and range.
  5. Recognize the normal probability distribution and apply it appropriately.
    

1) Completion of assigned HW problems.

2) HW discussion forum participation.

3) Careers in Statistics forum

4) Short quiz on material

 

8
  1. Use the terminology of probability.
  2. Determine whether two events are mutually exclusive and whether two events are independent.
  3. Calculate probabilities.
  4. Apply Addition Rules and Multiplication Rules.
  5. Construct and interpret Venn Diagrams.
  6. Construct and Interpret Tree Diagrams.
    

1) Short Quiz

2) Action and Allyship mini project

3) Complete assigned homework problems.

4) HW discussion forum participation.

 

9

Putting our probability and Statistics together.

    

1) Reading associated documents.

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) Completion of Exam 2 Review.

3) HW discussion forum participation.

 

11

Exam 2, covering material from weeks 7-10.

Data Collection and Analysis Project

    

1) Exam 2

2) Data Collection and Analysis Project

 

12
  1. Solve problems using the simple interest formula.
  2. Solve problems using the compound interest formula.
  3. Solve problems involving the present and future value.
  4. Model financing/mortgaging problems.
    

1) Buying a Home Mini Project

2) Financing a Car Mini Project.

3) Completion of assigned HW problems.

4) HW discussion forum participation.

 

13
  1. Distinguish between a subset and a proper subset.
  2. Use correct set notation and terminology.
  3. Find intersection, unions, and complements of sets.
  4. Model relationships between sets using Venn diagrams.
  5. Recognize and be able to apply cardinality notation.
  6. Use cardinality notation and formulas to solve Venn diagrams.
    

1) Short Quiz

2) Completion of assigned HW problems.

3) HW discussion forum participation.

 

14

Choose your own adventure: Exploring a Civics Application Topic for final project

Review for Final Exam.

    

1) Exploring a Civics Application Topic

2) Final Exam Review

3) HW discussion forum participation.

 

15

1) Final Exam

2) Final Project

    

1) Final Exam

2) Final Project

 

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 within the week 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.

Apply Now for this semester.

Register for this semester: November 4, 2024 - January 17, 2025