Combinatorics and Graph Theory
University of Newcastle
Area of Study
Computer Science, Information Technologies, Mathematics, Statistics
Taught In English
Course Level Recommendations
ISA offers course level recommendations in an effort to facilitate the determination of course levels by credential evaluators.We advice each institution to have their own credentials evaluator make the final decision regrading course levels.
Host University Units10
Recommended U.S. Semester Credits3 - 4
Recommended U.S. Quarter Units4 - 6
Hours & Credits
OverviewCombinatorics and Graph Theory is a blend of the mathematical techniques applicable to Computer Science, Information Technology and Statistics. This is 'discrete' mathematics as distinct from the continuous mathematics of calculus. It is a major growth area in modern mathematics, largely because of emerging applications in areas such as biotechnology and communication security.Much of the subject matter is a continuation of topics studied in MATH1510 such as graphs, trees, and enumeration, and additional topics such as experimental design and finite geometry are introduced. Some use is made of basic techniques from calculus and abstract algebra.LEARNING OUTCOMES1. An in-depth knowledge of one specific area of mathematics.2. An improved ability to communicate mathematical ideas.3. Some experience with applications of mathematics to the Information Sciences.CONTENTEnumeration: generating functions, recurrence relations, Polya's Theorem, inclusion-exclusion.Graph theory: paths and cycles, connectivity, factorisations, colouring, planarity applications.Combinatorial Designs: finite fields, Latin squares, Steiner triple systems, finite geometries.ASSESSMENT ITEMSIn Term Test: Examination - ClassWritten Assignment: AssignmentsTutorial / Laboratory Exercises: Group/tutorial participation and contribution: Lab exercises and group case studyFormal Examination: Final examination
Courses and course hours of instruction are subject to change.
Credits earned vary according to the policies of the students' home institutions. According to ISA policy and possible visa requirements, students must maintain full-time enrollment status, as determined by their home institutions, for the duration of the program.