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Computer Science
Fall 2023
Description
This course emphasizes the relationships between certain mathematical structures and various topics in computer science. Topics include set theory, graphs and trees, algorithms, propositional calculus, logic and induction, functions, relational algebra, and matrix algebra. Prerequisite(s): Calculus is recommended. Course Note(s): Not for graduate credit. A mathematics course beyond one year of calculus is needed for admission to the Computer Science, Cybersecurity, or Data Science program. A course in either calculus or discrete mathematics is needed for admission to the Information Systems Engineering program. Students who lack this prerequisite can fulfill admission requirements by completing this course with a grade of B– orbetter.
Instructor
Eric Farmer
Eric.Farmer@jhuapl.edu
Course Structure
The day of each class period, a new module will become available to you underModules,containing the course notes and homework assignment, which will typically be due the following week. You should also review theCalendarat least once a week for any items that are starting or are coming due.Announcementsmay be posted throughout the semester as reminders or to notify you of updates or changes in the course. You should log into the course at least 5 times a week to check for current announcements.
Course Topics
- Propositional logic (textbook sections 1.1, 1.2, 1.3, 1.4)
- Methods of Proof (1.5, 1.6, 1.7, 1.8)
- Sets (2.1, 2.2)
- Functions (2.3, 2.4, 2.5)
- Induction (5.1, 5.2, 5.3)
- Counting (6.1, 6.2, 6.3, 6.4)
- Probability (7.1, 8.5, 8.6)
- Relations and Matrices (2.6, 9.1, 9.3)
- Equivalence Relations and Partial Orders (9.5, 9.6)
- Graphs (10.1, 10.2, 10.3, 10.4)
- Trees (11.1, 11.2, 11.3, 11.4)
Course Goals
To define and precisely use standard mathematical terminology and concepts, to identify and apply appropriate methods of proof, and to relate topics in discrete mathematics to applications in computer science.
Textbooks
Rosen, K. H. (2019). Discrete Mathematics and Its Applications(8th ed.). New York, NY: McGraw-Hill. ISBN-13: 978-1-259-67651-2
Student Coursework Requirements
Grading is weighted as follows:
- 50% weekly homework (assigned problems turned in to be graded)
- 20% mid-term exam (in class)
- 20% final exam (in class)
- 10% participation (attendance and class discussion)
Grading Policy
EP uses a +/- grading system (see “Grading System”,Graduate Programscatalog, p. 10).
| Score Range | Letter Grade |
|---|---|
| 100-97 | = A+ |
| 96-93 | = A |
| 92-90 | = A− |
| 89-87 | = B+ |
| 86-83 | = B |
| 82-80 | = B− |
| 79-77 | = C+ |
| 76-73 | = C |
| 72-70 | = C− |
| 69-67 | = D+ |
| 66-63 | = D |
| <63 | = F |
Course Policies
In this course, you are expected to complete and submit your own work. Borrowing or copying material from other sources (e.g., web sites, other students, etc.) is prohibited.
When working on the exams you may consult the course text; otherwise, no other resources of any form may be consulted. You may not discuss the exams, even on the most casual level, with anyone except the instructor. You may not use a computer or calculator to assist you in working on the exams. (You may only use a computer as a document editor.)
Submit assignments as PDF, either typeset (e.g., using LaTeX or Word or other document editor) or hand written in legible print and scanned to PDF. Photos of documents will not be accepted. Include your first and last name in the filename (e.g., FarmerEricHW1.pdf, etc.) and in the document itself.
Academic Policies
Deadlines for Adding, Dropping and Withdrawing from Courses
Students may add a course up to one week after the start of the term for that particular course. Students may drop courses according to the drop deadlines outlined in the EP academic calendar (https://ep.jhu.edu/student-services/academic-calendar/). Between the 6th week of the class and prior to the final withdrawal deadline, a student may withdraw from a course with a W on their academic record. A record of the course will remain on the academic record with a W appearing in the grade column to indicate that the student registered and withdrew from the course.
Academic Misconduct Policy
All students are required to read, know, and comply with the Johns Hopkins University Krieger School of Arts and Sciences (KSAS) / Whiting School of Engineering (WSE) Procedures for Handling Allegations of Misconduct by Full-Time and Part-Time Graduate Students.
This policy prohibits academic misconduct, including but not limited to the following: cheating or facilitating cheating; plagiarism; reuse of assignments; unauthorized collaboration; alteration of graded assignments; and unfair competition. Course materials (old assignments, texts, or examinations, etc.) should not be shared unless authorized by the course instructor. Any questions related to this policy should be directed to EP’s academic integrity officer at ep-academic-integrity@jhu.edu.
Students with Disabilities - Accommodations and Accessibility
Johns Hopkins University values diversity and inclusion. We are committed to providing welcoming, equitable, and accessible educational experiences for all students. Students with disabilities (including those with psychological conditions, medical conditions and temporary disabilities) can request accommodations for this course by providing an Accommodation Letter issued by Student Disability Services (SDS). Please request accommodations for this course as early as possible to provide time for effective communication and arrangements.
For further information or to start the process of requesting accommodations, please contact Student Disability Services at Engineering for Professionals, ep-disability-svcs@jhu.edu.
Student Conduct Code
The fundamental purpose of the JHU regulation of student conduct is to promote and to protect the health, safety, welfare, property, and rights of all members of the University community as well as to promote the orderly operation of the University and to safeguard its property and facilities. As members of the University community, students accept certain responsibilities which support the educational mission and create an environment in which all students are afforded the same opportunity to succeed academically.
For a fulldescription of the code please visit the following website:https://studentaffairs.jhu.edu/policies-guidelines/student-code/
Classroom Climate
JHU is committed to creating a classroom environment that values the diversity of experiences and perspectives that all students bring. Everyone has the right to be treated with dignity and respect. Fostering an inclusive climate is important. Research and experience show that students who interact with peers who are different from themselves learn new things and experience tangible educational outcomes. At no time in this learning process should someone be singled out or treated unequally on the basis of any seen or unseen part of their identity.
If you have concerns in this course about harassment, discrimination, or any unequal treatment, or if you seek accommodations or resources, please reach out to the course instructor directly.Reporting will never impact your course grade.You may also share concerns with your program chair, the Assistant Dean for Diversity and Inclusion, or the Office of Institutional Equity.In handling reports, people will protect your privacy as much as possible, but faculty and staff are required to officially report information for some cases (e.g. sexual harassment).
Course Auditing
When a student enrolls in an EP course with “audit” status, the student must reach an understanding with the instructor as to what is required to earn the “audit.” If the student does not meet those expectations, the instructor must notify the EP Registration Team [EP-Registration@exchange.johnshopkins.edu] in order for the student to be retroactively dropped or withdrawn from the course (depending on when the "audit" was requested and in accordance with EP registration deadlines). All lecture content will remain accessible to auditing students, but access to all other course material is left to the discretion of the instructor.
