Appalachian State University
CS2531 Computational Reasoning
Dr. Patricia Johann
Spring 2024

Course Information

Topic:
From the most elementary hardware to the most sophisticated software, all of computer science is based in discrete mathematics. This course covers a range of topics in discrete mathematics that are particularly important in computer science. It emphasizes relationships between certain mathematical structures on the one hand, and their applications in computer science on the other. But since it treats mathematical knowledge as primary rather than as something to be picked up "on the fly", this course provides an opportunity to focus on building a solid mathematical foundation for computer science. This is crucial: after all, no computer scientist has ever said that they wished they had less mathematical background or understood mathematics less well!

Objectives:
  • To introduce you to (some of) the key discrete mathematical ideas underlying computer science
  • To help you understand these foundations and their significance
  • To help develop your ability to work effectively with these foundations and apply them to a variety of computational problems
  • To help develop your facility with logical reasoning about computation
  • To help develop your ability to read and write formal proofs

Delivery:
All course activities --- lectures, class meetings, discussions, office hours, homework, exams, etc. --- will be in person this semester.
Please contact me immediately if you do not have access to appropriate technology for this course or otherwise have difficulty accessing it.
Please contact me immediately if you have ODS accommodations in place and plan to use them.


Contact Information

Professor:
Dr. Patricia Johann
Phone: 828 262 7008
Office: Belk 312M
e-mail: [email protected]
Office Hours:
MWF 10:00 - 11:00 and whenever I am in the department (which is most of the time) and not with someone else.
Please feel welcome to just drop by my office, or to email or phone to set up an appointment if you would like to meet at another time.
I will be very happy to meet with you if I am not already with someone else at the time you suggest.

COVID-19 Arrangements

Please do not attend class if you become ill with COVID-19. But please do inform me before your first COVID-related absence to inform me that you are unwell.

Even though you will not attend class if you have COVID, you will still be expected to keep up with the course material. You can do this in any way that suits you --- e.g., by reading the text, getting notes from a classmate, and/or attending zoom office hours. (Links on CS2490 AsULearn page.) Even if you have COVID, assignments will still be due at the normal times unless special arrangements are made with me before they are due.

Special arrangements for exams will be considered on a case-by-case basis; to make arrangements, contact me as early as you possibly can before the exam. Arrangements after assignments and exams are due will not be considered except in truly exceptional circumstances.


Course Resources



Policy on Attendance


I expect you to come to class (and to come prepared) whenever you are physically able. Your attendance will not contribute directly to your course grade (see Course Logistics below), but I will contact you after your fourth absence of the semester to remind you that your overall course grade will go down by a third of a letter grade starting with your fifth absence. For example, if you had earned a B+ in the course but had been absent 8 times, then your course grade after taking attendance into account would end up being a C, since decreasing a B+ by (8-4) * 1/3 = 4/3 of a letter grade is B+ -> B -> B- -> C+ -> C.)

Your four "No Questions Asked" absences are intended to cover all manner of events, including (but not limited to) minor illnesses, job interviews, other conflicting activities, oversleeping, deaths in the family, family vacations, not attending the first days of class even though you are enrolled in the course, etc. You do not get four "No Questions Asked" absences in addition to absences for minor illnesses, job interviews, other conflicting activities, oversleeping, family vacations, not attending the first days of class even though you are enrolled in the course, etc. The best way to avoid grade penalties if you do not want/plan to attend class regularly is simply to drop the course.


University Policies

This course is governed by the University's Syllabi Policy and Statement Information. This document describes the University's
Course Logistics

All coursework for CS2531 is individual coursework. Your course grade will be computed as follows:

Challenge activities (26)    15%
Homework assignments (12)    35%
In-class exams (2)    25%
Final exam (cumulative)    25%
Total  100%

At any point during the semester you can approximate your "grade so far" using the formula

(a / ACT * 0.15) + (h / HW * 0.35) + (e / Exams * 0.25) + (f / Final * 0.25)

where

All of this information will be available to you on AsULearn.

Letter grades will be assigned on the following 90-80-70-60 scale. This scale is essentially standard, but the thresholds have been lowered slightly, making it easier for you to earn a higher final letter grade. I reserve the right to lower (but not raise!) thresholds further for particular final letter grades.

Percentage of total possible points in course    Final letter grade
92 - 100    A
89 - 91.99    A-
87 - 88.99    B+
82 - 86.99    B
79 - 81.99    B-
77 - 78.99    C+
72 - 76.99    C
69 - 71.99    C-
67 - 68.99    D+
62 - 66.99    D
59 - 61.99    D-
0 - 58.99    F

The above information is intended solely to let you know how final course grades will be computed for this course. It is not intended to foster preoccupation with point accumulation. My best advice is to engage the course with enthusiasm --- daring to really "get into" it! --- and let the grade (which is, after all, intended merely to reflect your understanding of the material) take care of itself.



Readings and Assignments


You will have daily readings and challenge activities to complete over the semester. You will also have homework assignments to complete. The purpose of the readings is to provide you the opportunity to prepare for class, as well as for the challenge activities and the homework assignments. The readings will also reinforce ideas presented in class. I suggest that you read the material for a given class meeting both before and after that class meeting. Reading before class will help you identify, in advance of lecture, areas of special concern for you. Reading after class will reinforce what we have discussed in class. You are responsible for all material in the reading, as well as for all the material covered in class, whether or not you attend class on the day it is covered. The challenge activities and homework assignments to be completed will be made available via the course web site. The purpose of the activities and assignments is to help you gain facility with the material covered in class and in the assigned readings. Homework assignments will consist mainly of pencil-and-paper exercises. I will grade a selection of the problems on each assignment.

The homework and activities for this course are worth 50% of your overall course grade. That's over 3.5% of your grade per week, which is a compelling reason to construct and submit well-considered solutions to all of the assigned exercises. But of course the best reason to do so is because it will be difficult, if not impossible, to learn the course material without seriously engaging it and working with it. My best advice is to do every single one of the assigned activities and exercises for for the semester. If an activity or exercise weren't important to your understanding, I wouldn't assign it!

I strongly suggest that you first attempt activities and assignments as soon as they become available. I cannot emphasize this strongly enough! This will leave you time to mull them over, to make several attempts at solving them, and to come for help if you need it. Waiting until shortly before an activity or assignment is due to start working on it is a recipe for disaster!

You are welcome to discuss current or past homework assignments, or indeed anything about the course, with me at any time.


Exams

This course has two in-class exams, to be held during the regular class periods on 16 February and 5 April.

It also has a final exam, set by the University Registrar for 8:00 a.m. - 10:30 a.m. on Monday, 6 May.


Late Assignment Policy

If you cannot meet an assignment due date for reasons truly beyond your control (e.g., documented serious illness, personal crisis, or family crisis), you may request an extension. Requests for extensions are more likely to be granted if they are made before the assignment due date, but late assignments are not accepted except in extreme circumstances. My 30+ years of teaching experience show that students who turn in even one assignment late often fall behind in the course and have difficulty completing subsequent work satisfactorily. This is especially true in courses, like CS2531, in which each assignment builds on the ones that have come before.
Recommendations for Private Study

As mentioned above, you are responsible for all course material, whether or not you attend lectures or do the assigned reading or coursework. If you miss a lecture for any reason, it is your responsibility to find out what was discussed. You can do this by consulting the (tentative) syllabus on the course web page, asking another student in the class, or asking me.

To prepare for the activities and assignments, I recommend that you attend lectures, do all of the assigned reading, and consult the textbook and your course notes as needed to ensure that you understand the course material. The assigned reading should first be done before starting the homework and lab assignments, and then again as needed.

All activities and homework assignments should be started "early and often". That is, you should look over an activity or assignment as soon as it becomes available, just to familiarize yourself with the problems in it. Try to do as many problems as you can as soon as you can. This will leave you time to get confused and "unconfused", which is how you will be able to tell that you have learned something! Come to lectures eager for ideas and information that will help you understand the course material and do those problems that elude you. Attempt the assigned problems as often as necessary for you to complete them. Some problems will necessarily take more time and thought than others, but solutions to all of them can be done using the course material, and none of the problems will be beyond you if you truly understand that material.

To prepare for exams, I suggest that you read over all the assigned readings from the textbook, as well as your course notes, and that you re-do all of the assigned problems without any help. If you can do all of the assigned problems in a reasonable amount of time without any help, then you should be well-prepared for the exams.


Collaboration Policy

This Collaboration Policy augments ASU's Code of Student Conduct, so that both are in force for this course. You are assumed to be completely familiar with ASU's Code of Student Conduct. Should there be conflict between ASU's Code of Student Conduct and this Collaboration Policy, this one will take precedence whenever possible. ASU's Code of Student Conduct specifies that:
The term "Academic Dishonesty" includes, but is not limited to, (l) use of unauthorized assistance in taking quizzes, tests, or examinations; (2) dependence upon the aid of sources beyond those authorized by the instructor in writing papers, preparing reports, solving problems, or carrying out other assignments; or (3) the acquisition, without permission, of tests or other academic materials belonging to a member of the University faculty or staff; (4) and plagiarism, which includes, but is not limited to, the use of paraphrases or direct quotations without acknowledging the source of the published or unpublished work and giving full acknowledgment thereto. Allegations of academic dishonesty are handled under the Academic Integrity Code.
What this means concretely for CS2531 is:

If you are unsure about whether or not certain kinds of collaboration are permissible, please ask me.


Syllabus

A tentative syllabus for this course appears below. It will be updated throughout the semester to reflect our actual progress through the course. All section numbers refer to sections in the course textbook.

  17 Jan     Course welcome, topic, and mechanics
  HW1 out   
  19 Jan     Section 1.1, Section 1.2
  22 Jan     Section 1.3
  24 Jan     Section 1.4, Section 1.5
  26 Jan     Section 1.5 (cont'd)
  HW1 due; HW2 out   
  29 Jan     Section 1.6, Section 1.7
  31 Jan     Section 1.8, Section 1.9
  2 Feb     Section 1.10
HW2 due; HW3 out     
  5 Feb     Section 1.11, Section 1.12
  7 Feb     Section 1.12 (cont'd), Section 1.13
  9 Feb     Section 1.13 (cont'd), Section 1.14
HW3 due; HW4 out     
  12 Feb     Section 2.1
  14 Feb     Section 2.2
  16 Feb     Exam 1
  19 Feb     Section 2.2 (cont'd), Section 2.3
  21 Feb     Section 2.3 (cont'd)
  23 Feb     Section 2.4
  HW4 due; HW5 out   
  26 Feb     Section 2.5
  28 Feb     Section 2.6
  1 Mar     Section 2.7
  HW5 due; HW6 out   
  4 Mar     Section 3.4
  6 Mar     Section 3.4 (cont'd)
  8 Mar     Section 3.5
  HW6 due; HW7 out   
  11-15 Mar     No class -- Spring Break
  18 Mar     Section 3.6
  20 Mar     Section 3.8
  22 Mar      Section 3.8 (cont'd)
HW7 due; HW8 out  
  25 Mar     Section 3.8 (cont'd)
  27 Mar     Section 3.9
  29 Mar     No class -- State Holiday  
  1 Apr     Section 3.9 (cont'd)
  3 Apr     Section 3.9 (cont'd)
HW8 due; HW9 out  
  5 Apr     Exam 2
  8 Apr     Section 4.1, Section 4.2
  10 Apr     Section 4.3, Section 4.4
  12 Apr     Section 4.5, Section 4.6
HW9 due; HW10 out  
  15 Apr     Section 4.7, Section 5.1
  17 Apr     Section 5.2, Section 5.3;
  19 Apr     Section 5.3 (cont'd), Section 5.4
  HW10 due; HW11 out   
  22 Apr     Section 6.1, Section 6.2
  24 Apr     Section 6.3
  26 Apr     Section 6.4
  HW11 due; HW12 out   
  29 Apr     Section 6.5
  1 May     Wrap-up
  HW12 due   


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