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MAT 285 Introduction to Proof

This course provides a transition from computational mathematics to abstract, proof-based mathematics. The primary focus of the course is the development of skills to read, understand, and produce proofs of mathematical statements that explore key concepts from number theory, algebra, and analysis. Topics include set theory, functions, relations, order properties of real numbers, least upper bound, greatest lower bound, the completeness axiom, and limits.

Credits

4

Prerequisite

Prerequisite: MAT 263 and MAT 281

See Course Syllabus

Course Number and Title:

MAT 285 Introduction to Proof

Campus Location

  • Stanton

Prerequisites

Prerequisite: MAT 263 and MAT 281

Course Credits and Hours

4 credit(s)

4 lecture hours/week

1 lab hours/week

Course Description

This course provides a transition from computational mathematics to abstract, proof-based mathematics. The primary focus of the course is the development of skills to read, understand, and produce proofs of mathematical statements that explore key concepts from number theory, algebra, and analysis. Topics include set theory, functions, relations, order properties of real numbers, least upper bound, greatest lower bound, the completeness axiom, and limits.

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.

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.

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