Math 572 Mathematical Foundation of Network Science
Fall 2021 course syllabus

Instructor:  Prof. Lincoln Lu
  Phone: (803) 777-4225

Lecture Time:   TTh 2:50pm- 4:05pm, Carolina Coliseum 3007

Office Hours: T Th 1:30pm-- 2:30pm, Microsoft Team "COTEAM-LU2-MATH-572-001-FALL-2021", and/or Coliseum 1010G.

Credit Hours:  3

Prerequisite:  Prerequisite: C or better in Math374 and in one of the courses Math344/Math544.

Catalog Description:   Graphs and probability, Web graphs, random graphs, models for complex graphs, graph seraching algorithms, eigenvalues, PageRank.

Textbook:   Anthony Bonato (2008), A Course on the Web Graph, American Mathematical Society, ISBN: 978-0821844670

Subject Material:   We shall cover chapter 1 to chapter 5 of the text.

Learning Outcome After successful completion of this course, students will be able to remember basic terminologies in graph theory and probability theory; understand the structures of the Web Graph and complex graphs; apply random graph models; evaluate and analyze real network data.

Homework:   Homework will be assigned and collected roughly every other week (except exam weeks) through Blackboard.

Reading:  Reading the sections of the textbook corresponding to the assigned homework exercises is considered part of the homework assignment; you are responsible for material in the assigned reading whether or not it is discussed in the lecture.

Exams:   There will be two midterm open-book exams during lecture time. You may bring books and notes to exams, but no Internet access.

Final project:   There is no final exam for this class. Instead, you will have a final project. Please form a group of three (or two). Each group will write a report of at least 4 pages and make a presentation in the classes.

Attendance:    You are expected to attend all lectures. A grade penalty will be exacted if you have substantial number (>10%) of absences. (If you get sick and have doctor's note, the absences are excused.); see the Bulletin of Undergraduate Studies.

Cell Phone Policy:   All cell phones should be turned off during classes.

Grading: The homework is 30%. The first exam is 20%. The second exam is 20%. The final project is 30%. Your final grade is based on the percentage as follows. Your final grade is based on the percentage as follows.

Grading Scale

Grading Scale:

90-100% A

76-79% C+

60-65% D

86-89%   B+

70-75% C

0-59%   F

80-85%   B

66-69% D+