Oklahoma State University Institute of Technology Online Common Syllabus Fall 2015 MATH 3103 Discrete Mathematics Students investigate discrete mathematical concepts, to include: logic, Boolean algebra, probability and combinatorics, set theory, proofs, proof techniques, relations, functions, graph theory and trees. Type of course: Theory Credit Hours: 3; Total clock hours of theory per semester: 45; Total clock hours of lab for the semester: 0; Total clock hours of clinical per semester: 0. Class length - Full Semester Class format - Fully Online Required synchronous meetings: None Prerequisites: MATH 1513 and STAT 2013 or Division Chair approval. Instructor Name: Jarod Powell Instructor Phone: (918) 293-4991 Office: NCAT 109D Instructor email: jarod.powell@okstate.edu Contact: My preferred method of contact is email. Please allow 24-48 hours to return your correspondence during the normal work week. Instructor's Office Hours: MWF: 8:00 – 9:25, 11:00 – 12:00, 1:00 – 1:30, and 2:30 – 3:00 TR: 11:30 – 1:00 central time School Name: Arts & Sciences School’s Main Phone: 918-293-4768 REQUIRED TEXT, REFERENCES, AND MATERIALS Texts: Discrete Mathematics: An Introduction to Mathematical Reasoning Brief ed., Susanna S. Epp, Brooks/Cole, ISBN#: 978-0-495-82617-0 References: Materials: Pen, Pencil, Paper, a notebook, folder, or binder is also suggested to keep coursework and notes organized. Uniform/Tools: Students need a way to convert handwritten work to digital format such as a camera or scanner. Students may also want a basic calculator. Estimated Cost for Materials: Estimated Cost for Uniform/Tools: Updated: August 2015 $15 plus $117.65 – 188.15 for the book $15 Page 1 of 10 ONLINE COURSE INTERACTION OSUIT requires all online courses to include interaction between students, peers and instructors. Our online courses use a variety of tools to build a community of learners and strengthen engagement between students and their peers, as well as between students and the instructor. Communication tools used in this course may include Discussion, News, Blackboard Collaborate, and Email. Read the syllabus completely to determine which of these methods you, your classmates and your instructor will use for interaction. Upon completion of the course, students should: Course Objectives Assessment of Objectives Use set-roster notation to write out elements of a set Determine the number of elements in a set Homework, Quizzes, Exams*, and a Course project Homework, Quizzes, Exams*, and a Course project Homework, Quizzes, Exams*, and a Course project Homework, Quizzes, Exams*, and a Course project Homework, Quizzes, Exams*, and a Course project Homework, Quizzes, Exams*, and a Course project Calculate Cartesian products between two or three sets Construct truth tables Use truth tables to determine if two statements are logically equivalent Use truth tables to determine the validity of an argument form Write universal and existential statements and their negations Construct proofs of various statements using direct and indirect methods Create counterexamples to disprove conditional statements Perform operations on sets including unions, intersections, differences, and complements Construct Venn diagram representations of the operations on sets Construct proofs of set operations Construct proofs of Boolean operations Write out terms and explicit formulas of sequences and summations Compute summations and products Updated: August 2015 Homework, Quizzes, Exams*, and a Course project Homework, Quizzes, Exams*, and a Course project Homework, Quizzes, Exams*, and a Course project Homework, Quizzes, Exams*, and a Course project Homework, Quizzes, Exams*, and a Course project Homework, Quizzes, Exams*, and a Course project Homework, Quizzes, Exams*, and a Course project Homework, Quizzes, Exams*, and a Course project Homework, Quizzes, Exams*, and a Course project Page 2 of 10 Construct graphs with given properties Identify the vertices, edges, and degree of graphs Use graphs to model real-world situations Homework, Quizzes, Exams*, and a Course project Homework, Quizzes, Exams*, and a Course project Homework, Quizzes, Exams*, and a Course project Aspects of the course objective assessments may be used in the university’s assessment of student learning. If applicable, an asterisk (*) above indicates this assignment is used in the university assessment program. COURSE ACTIVITIES In this course students will: Participate in online discussions and activities. View videos that depict the various concepts. Participate in individual presentations. Write an essay Complete homework assignments. Take quizzes. Take examinations. EVALUATION - GRADES WILL BE BASED ON THE QUALITY AND COMPLETION OF THESE TASKS: Introductory Activities ............ Homework ............................... Quizzes .................................... Project ..................................... Exams ...................................... Total .......................... 5% 15% 20% 10% 50% 100% OSUIT Grading Scale A = 90%-100% B = 80%-89% C = 70%-79% D = 60%-69% F = 59% & below *The student’s grade for this assignment will be used in the university’s assessment of student learning. A 70% competency or higher receives a Pass rating. This Pass/Fail rating is independent of the student’s course grade. Daily and/or weekly quizzes, small weekly assignments and similar type projects: Normal return time to student by next class meeting or no later than one (1) week. Extensive assignments, large lab projects, extensive quizzes, exams and similar type projects: Normal return time to students in one (1) to two (2) weeks. Updated: August 2015 Page 3 of 10 AUTHORIZED TOOLS Students may use any/all course materials, including books and notes, while completing homework, quizzes, and exams. Collaboration is acceptable on homework assignments. All quizzes and exams are to be completed independently; no collaboration with classmates is permitted, and any instance of such will be considered academic dishonesty. LATE WORK Late work is generally not accepted. If you feel like you have extenuating circumstances, please discuss those with the instructor prior to the assignment due date. DISCUSSIONS: There will be three required discussion threads this semester. The first two are part of the introductory activities for this course. The third discussion will be posted after exam 2. Please follow the instructions carefully when posting in the discussion threads. One of the required discussions will require students to ask the instructor a question. The instructor will respond on the discussion thread. There will also be discussion threads that allow students to ask other students or the instructor for help with course questions. HOMEWORK The homework assignments are listed on the syllabus and in the content area of D2L. The assignments must be submitted to the appropriate module Dropbox by 11:59 p.m. central time the day of the corresponding exam, except for the last exam where everything is due by 10:00 a.m. Homework assignments will be graded based on completion. I will not provide feedback regarding the correctness of your homework answers. If you have a question about a homework problem, either send me an email or post your question in one of the discussion threads on D2L. You can also call or come by my office during the office hours listed. QUIZZES The quizzes are located in the Quizzes area on D2L. Each quiz may be taken twice. I recommend you take each quiz once before 11:59 p.m. central time on the due date listed in the syllabus. Then, take each quiz again before you take the corresponding exam. I will grade quizzes and provide feedback about your answers. If you have questions about how I graded anything, please send me an email. You can also call or come by my office during the office hours listed. COURSE PROJECT The details regarding the course project will be posted after Exam 3. The project usually consists of a short essay and a presentation. TESTING The exams are located in the Quizzes area on D2L. Exams will be timed. The time limit will usually be 2 hours. Each exam may only be taken once. Exams are due by 11:59 p.m. central time on the day listed in the syllabus. Exams will not require the use of a lockdown browser. You are allowed to use your books and notes for the exam. Collaborating with other students is not acceptable. Updated: August 2015 Page 4 of 10 UNIVERSITY & COURSE EXPECTATIONS It is the responsibility of each OSUIT student to read, abide by and maintain a copy of the syllabus for this course. Syllabi are available on the OSUIT website. Students understand that excerpts or portions of their work may be utilized for institutional assessment purposes. The purpose of institutional assessment is for verification of student learning and program improvement. Every effort will be made to keep this information confidential. AMERICANS WITH DISABILITIES ACT (ADA) According to the Americans with Disabilities Act, each student with a disability is responsible for notifying the University of his/her disability and requesting accommodations. If you think you have a qualified disability and need special accommodations, you should notify the instructor and request verification of eligibility for accommodations from the Office of Academic Accommodations/LASSO Center. Please advise the instructor of your disability as soon as possible, and contact The LASSO Center, to ensure timely implementation of appropriate accommodations. Faculty have an obligation to respond when they receive official notice of a disability but are under no obligation to provide retroactive accommodations. To receive services, you must submit appropriate documentation and complete an intake process during which the existence of a qualified disability is verified and reasonable accommodations are identified. The LASSO Center is located on the 3rd floor of the Noble Center. You may call 918.293.4855 for more information or fax documentation to 918.293.4853. ACADEMIC DISHONESTY Academic dishonesty or misconduct is neither condoned nor tolerated at OSUIT. Any student found guilty of academic dishonesty or misconduct shall be subject to disciplinary action. Academic dishonesty and/or misconduct includes, but is not limited to, the following actions: (1) Plagiarism: the representation of previously written, published, or creative work as one’s own; (2) Unauthorized collaboration on projects; (3) Cheating on examinations; (4) Unauthorized advance access to exams; (5) Fraudulent alteration of academic materials; (6) Knowing cooperation with another person in an academically dishonest undertaking. Students are required to actively protect their work against misuse by others. For details, refer to The OSUIT Student Handbook (Student Rights and Responsibilities Governing Student Behavior) available online at http://www.osuit.edu/academics/forms/student_rights_responsibility.pdf. Attendance Policy for Online courses: A primary component of OSUIT's Mission is: “to prepare and sustain a diverse student body as competitive members of a world-class workforce.” Regular and consistent attendance not only aids in academic success, dependable attendance is a requirement in today's real-world employment; therefore, regular and consistent attendance is a requirement in all OSUIT courses. Definition: Absent: Failing to actively participate in online coursework during a standard week timeframe for a given course. A. Students must demonstrate attendance through active participation in the course at least once every seven days. Simply logging into the course does not constitute active participation. B. Active participation is defined as the completion of required activities such as: Updated: August 2015 Page 5 of 10 1. 2. 3. 4. Completion of online quizzes or exams Submission of assignments Participation threaded discussions, or Involvement in discussion question as determined by the instructor and indicated in the course syllabus. C. Calculations for weekly to percentage ratios 1. Missing 1 of 15 weeks = 6.67% 2. Missing 2 of 15 weeks = 13.33% 3. Missing 3 of 15 weeks = 20% 4. Missing 1 of 7.5 weeks = 13.33% 5. Missing 1.5 of 7.5 weeks = 20% Procedures: Early Intervention: A. Any student who misses 10% of an individual course (or earlier at faculty discretion) during a regular fifteen-week semester, or the equivalent portion of time in a shorter session, will have their name submitted by that course instructor to the OSUIT Early Alert System for retention intervention. B. At the point the Early Alert is issued, the student must meet with their assigned faculty advisor or designated faculty/staff member within seven (7) academic calendar days for counseling on how to improve their attendance and academic success. Excessive Absences: A. The University reserves the right to administratively withdraw any student from an individual course who misses 20% of that course, whether excused or unexcused, and, in the opinion of the instructor, the student does not have a reasonable opportunity to be successful in the course. B. Students should be aware any of the following may impact their financial aid: 1. being administratively withdrawn from a course 2. dropping a course 3. their last date of attendance in a course Please see OSUIT Policy 2-021 for full details and procedures. Updated: August 2015 Page 6 of 10 Course Outline Schedule Week 1 Sept 1 – Sept 5 Topic Introductory Activities Course Schedule Assignment Due Date Discussion Board: Introduction and Sept 8 Syllabus Question Syllabus Quiz (D2L Quizzes) Sept 8 Introductory Photo Quiz (D2L Quizzes) Sept 8 Test email response Sept 8 HW: Ch. 1.1 pg. 5 # 3, 6, 7, 10, 13 Sept 28 Quiz: Ch. 1 Sec. 1 (D2L Quizzes) Sept 11 HW: Ch. 1.2 pg. 13 # 2, 4, 5, 7, 9, 12 Sept 28 Quiz: Ch. 1 Sec. 2 (D2L Quizzes) Sept 11 HW: Ch. 1.3 pg. 21 # 1, 3, 5, 7, 15 Sept 28 Quiz: Ch. 1 Sec. 3 (D2L Quizzes) Sept 18 Week 2 1.1 Sept 6 – Sept 12 1.2 Week 3 1.3 Sept 13 – Sept 19 2.1 HW: Ch. 2.1 pg. 36 # 3, 5, 8, 14, 15, Sept 28 17, 21, 23, 26, 27, 32, 35, 43 Quiz: Ch. 2 Sec. 1 (D2L Quizzes) Sept 18 Week 4 2.2 Sept 20 – Sept 26 HW: Ch. 2.2 pg. 48 # 3, 4, 5, 6, 9, 16, Sept 28 20, 22, 24, 26, 32, 41, 43 Quiz: Ch. 2 Sec. 2 (D2L Quizzes) 2.3 HW: Ch. 2.3 pg. 60 # 2, 3, 7, 8, 9, 12, Sept 28 15, 18, 22, 24, 27, 30 Quiz: Ch. 2 Sec. 3 (D2L Quizzes) Updated: August 2015 Sept 25 Sept 25 Page 7 of 10 Week 5 Exam 1 Exam 1 (D2L Quizzes) Sept 28 3.1 HW: Ch. 3.1 pg. 73 # 3, 6, 7, 10, 11, Oct 12 13, 16, 23, 24, 26 Sept 27 – Oct 3 Quiz: Ch. 3 Sec. 1 (D2L Quizzes) Oct 2 Week 6 3.2 Oct 4 – Oct 10 HW: Ch. 3.2 pg. 82 # 1, 3, 8, 14, 20, Oct 12 21, 23, 24, 29, 38 Quiz: Ch. 3 Sec. 2 (D2L Quizzes) 3.3 HW: Ch. 3.3 pg. 93 # 10, 12, 13, 16, Oct 12 17, 30, 31, 34, 35, 41 Quiz: Ch. 3 Sec. 3 (D2L Quizzes) 3.4 Oct 9 Oct 9 HW: Ch. 3.4 pg. 106 # 2, 3, 6, 8, 9, 10, Oct 12 11, 14, 15, 19 Quiz: Ch. 3 Sec. 4 (D2L Quizzes) Oct 9 Exam 2 Exam 2 (D2L Quizzes) Oct 12 4.1 HW: Ch. 4.1 pg. 125 # 3, 4, 11, 13, 18, Nov 2 20, 32, 41, 43, 51 Week 7 Oct 11 – Oct 17 Quiz: Ch. 4 Sec. 1 (D2L Quizzes) Oct 16 Week 8 4.2 Oct 18 – Oct 24 HW: Ch. 4.2 pg. 132 # 8, 9, 12, 16, 18, Nov 2 23, 26, 33, 36, 37 Quiz: Ch. 4 Sec. 2 (D2L Quizzes) 4.3 HW: Ch. 4.3 pg. 141 # 3, 4, 5, 13, 19, Nov 2 20, 24, 26, 28, 31 Quiz: Ch. 4 Sec. 3 (D2L Quizzes) Updated: August 2015 Oct 23 Oct 23 Page 8 of 10 Week 9 4.4 Oct 25 – Oct 31 HW: Ch. 4.4 pg. 153 # 3, 4, 6, 7, 8, 10, Nov 2 19, 20, 22, 24 Quiz: Ch. 4 Sec. 4 (D2L Quizzes) 4.5 Oct 30 HW: Ch. 4.5 pg. 161 # 1, 4, 5, 6, 11, Nov 2 12, 15 Quiz. Ch. 4 Sec. 5 (D2L Quizzes) Oct 30 Exam 3 Exam 3 (D2L Quizzes) Nov 2 6.1 HW: Ch. 6.1 pg. 261 # 3, 5, 7, 8, 9, 10, Nov 20 13, 15, 16, 17, 18, 23, 27, 31, 33 Week 10 Nov 1 – Nov 7 Quiz: Ch. 6 Sec. 1 (D2L Quizzes) Nov 6 Week 11 6.2 Nov 8 – Nov 14 HW: Ch. 6.2 pg. 276 # 1, 3, 6, 7, 8, 13, Nov 20 14, 16, 19 Quiz: Ch. 6 Sec. 2 (D2L Quizzes) Nov 6 HW: Ch. 6.4 pg. 292 # 1, 4, 5 Nov 20 Quiz: Ch. 6 Sec. 4 (D2L Quizzes) Nov 20 Exam 4 (D2L Quizzes) Nov 20 Week 12 6.4 Nov 15 – Nov 21 Exam 4 Week 13 Nov 22 – Nov 28 5.1 HW: Ch. 5.1 pg. 183 # 1, 3, 8, 11, 15, Dec 11 21, 38, 40, 42, 50, 57, 64, 67, 70, 71 Quiz: Ch. 5 Sec. 1 (D2L Quizzes) Updated: August 2015 Nov 24 Page 9 of 10 Week 14 9.1 Nov 29 – Dec 5 HW: Ch. 9.1 pg. 409 # 3, 4, 7, 9, 10, Dec 11 12, 19 Quiz: Ch. 9 Sec. 1 (D2L Quizzes) 10.1 Dec 4 HW: Ch. 10.1 pg. 490 # 1, 3, 5, 8, 17, Dec 11 18, 24, 25, 28, 47 Quiz: Ch. 10 Sec. 1 (D2L Quizzes) Dec 4 Exam 5 Exam 5 (D2L Quizzes) Dec 11 Course Project Course Project Dec 11 Week 15 Dec 6 – Dec 11 10:00 a.m. All assignments are due by 11:59 p.m. central time on their due date, except for the assignments associated with exam 5 and the course project. The exam 5 assignments and the course project are due by 10:00 a.m. on December 11th. Schedule is subject to change at instructor discretion. Updated: August 2015 Page 10 of 10