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MAT 251 Finite Math

This course covers selected algebraic topics, including mathematics of finance, systems of linear equations and matrix algebra, linear programming, properties of probability and probability distributions, Markov chains, and techniques of applied problem solving.

Credits

3

Prerequisite

Prerequisite: Test Score or MAT 153 or MAT 180 or higher

See Course Syllabus

Course Number and Title:

MAT 251 Finite Math

Campus Location

  • Georgetown
  • Wilmington

Prerequisites

Prerequisite: Test Score or MAT 153 or MAT 180 or higher

Course Credits and Hours

3 credit(s)

3 lecture hours/week

0 lab hours/week

Course Description

This course covers selected algebraic topics, including mathematics of finance, systems of linear equations and matrix algebra, linear programming, properties of probability and probability distributions, Markov chains, and techniques of applied problem solving.

Additional Materials

Graphing Calculator: TI 83 or TI 84

Required Text(s)

Obtain current textbook information by viewing the campus bookstore - https://www.dtcc.edu/bookstores online or visit a campus bookstore. Check your course schedule for the course number and section.

Core Course Performance Objectives (CCPOs)

  1. Solve application problems using linear and quadratic functions. (CCC 2, 6; PGC 1, 2)
  2. Solve mathematics of finance problems. (CCC 2, 6; PGC 1, 2)
  3. Solve systems of linear equations, and perform matrix algebra. (CCC 2, 6; PGC 1, 2)
  4. Solve optimization problems using linear programming techniques. (CCC 2, 6; PGC 1, 2)
  5. Solve written problems involving probability and probability distributions. (CCC 2, 6; PGC 1, 2)
  6. Solve application problems using binomial probability distributions and Markov chains. (CCC 2, 6; PGC 1, 2)

See Core Curriculum Competencies and Program Graduate Competencies at the end of the syllabus. CCPOs are linked to every competency they develop.

Measurable Performance Objectives (MPOs)

Upon completion of this course, the student will:

  1. Solve application problems using linear and quadratic functions.
    1. Apply linear and quadratic functions to profit and loss applications.
    2. Apply linear and quadratic functions to investment problems.
    3. Apply linear and quadratic functions to supply and demand problems.
    4. Perform cost calculations using linear equations.
  2. Solve mathematics of finance problems.
    1. Apply linear and quadratic functions to finance applications.
    2. Perform calculations involving simple interest.
    3. Perform calculations involving compound interest.
    4. Determine the future value of regular annuities.
    5. Determine the present value of regular annuities.
    6. Determine payments/contributions from present value and future values of regular annuities.
  3. Solve systems of linear equations, and perform matrix algebra.
    1. Algebraically solve systems of linear equations in multiple variables.
    2. Solve linear systems in multiple variables using matrices.
    3. Perform addition and subtraction of matrices.
    4. Find products and powers of matrices.
    5. Solve application problems using matrices.
  4. Solve optimization problems using linear programming techniques.
    1. Solve systems of linear inequalities using graphs.
    2. Interpret linear inequalities as constraints in linear programming models.
    3. Maximize and minimize an objective function given particular constraints.
    4. Solve maximizing and minimizing applications using linear programming.
  5. Solve written problems involving probability and probability distributions.
    1. Use set theory to determine subsets, compliments, intersections, and unions.
    2. Illustrate the relationships between sets using Venn diagrams.
    3. Solve problems using basic concepts of probabilities.
    4. Calculate conditional probability and probability of independent events.
    5. Find the expected value of an event using given conditions.
    6. Calculate the number of outcomes using permutations and combinations.
    7. Use counting techniques to solve probability application problems.
  6. Solve application problems using binomial probability distributions and Markov chains.
    1. Solve applications using binomial probability distribution.
    2. Solve applications involving the expected value for binomial probability distribution.
    3. Transform a set of real life probabilities into a transition matrix and sketch the transition diagram in a Markov chain.
    4. Recognize a regular Markov chain, and calculate and interpret its equilibrium vector

Evaluation Criteria/Policies

The grade will be determined using the Delaware Tech grading system:

90-100 = A
80-89 = B
70-79 = C
0-69 = F
Students should refer to the Catalog/Student Handbook for information on the Academic Standing Policy, the Academic Integrity Policy, Student Rights and Responsibilities, and other policies relevant to their academic progress.

Final Course Grade

Calculated using the following weighted average

Evaluation Measure

Percentage of Final Grade

       3 Tests (summative) (equally weighted)

70%

       Projects (summative) (equally weighted)

10%

       Homework (formative)

10%

       Formative Assessments

10%

TOTAL

100%

Program Graduate Competencies (PGCs are the competencies every graduate will develop specific to his or her major)

Middle-Level Mathematics Education

  1. Employ mathematical strategies to solve algebraic, geometric, trigonometric, and calculus problems.
  2. Analyze mathematical principles and theories as they relate to a variety of applications.
  3. Utilize knowledge of the physical, social, emotional and cognitive development of adolescents in designing and delivering instruction.
  4. Access and implement educational technology.

Core Curriculum Competencies (CCCs are the competencies every graduate will develop)

  1. Apply clear and effective communication skills.
  2. Use critical thinking to solve problems.
  3. Collaborate to achieve a common goal.
  4. Demonstrate professional and ethical conduct.
  5. Use information literacy for effective vocational and/or academic research.
  6. Apply quantitative reasoning and/or scientific inquiry to solve practical problems.

Students in Need of Accommodations Due to a Disability

We value all individuals and provide an inclusive environment that fosters equity and student success. The College is committed to providing reasonable accommodations for students with disabilities. Students are encouraged to schedule an appointment with the campus Disabilities Support Counselor to request an accommodation needed due to a disability. The College's policy on accommodations for persons with disabilities can be found in the College's Guide to Requesting Academic Accommodations and/or Auxiliary Aids Students may also access the Guide and contact information for Disabilities Support Counselors through the Student Resources web page under Disabilities Support Services, or visit the campus Advising Center.

Minimum Technology Requirements

Minimum technology requirements for online, hybrid, video conferencing and web conferencing courses.

Academic Integrity

https://dtcc.smartcatalogiq.com/Current/Catalog/Academics/Academic-Integrity

Attendance

https://dtcc.smartcatalogiq.com/Current/Catalog/Search?q=attendance

Cell phone/Electronic Device

https://dtcc.smartcatalogiq.com/Current/Catalog/Student-Policy/Cell-Phone-and-Electronic-Device-Policy

Tuition Adjustment Policy

https://dtcc.smartcatalogiq.com/Current/Catalog/Financial/Tuition-Fee-Adjustment-Policy-Course-or-Semester-Withdrawal