In the News

_____________________________________________

IBM’s Quantum Computer Programming:  Hands-On Workshop (Asynchronous)

Practical Quantum Programming

100% online course

https://quantgates.com/learn-quantum

This course offers a comprehensive introduction to quantum computing, starting from the basics and progressing to advanced algorithm design and implementation. No prior knowledge of quantum computing or quantum physics is required, though familiarity with matrix-vector multiplication is expected. The course will guide you through the mathematics of quantum computing, the creation of quantum gates and circuits, and the implementation of the Quantum Approximate Optimization Algorithm (QAOA) on IBM's quantum computers. With a focus on practical applications, this asynchronous course is suitable for beginners and experienced programmers alike.   It is an course taught on Canvas, Asynchronous.    Cost $24.00.  A certificate is earned and awarded.

_____________________________________________

Thankgsgiving Break Picnic!

All students and faculty, Join Us!

When: Saturday, November 30th     
Time: 11:30 a.m. - 5:00 p.m.
Where: Spanish River Park Pavilion #10

photo

_____________________________________________

More Undergraduate and Graduate Student Opportunities

____________________________________

More News

 

College of Science Facebook College of Science Twitter College of Science Instagram College of Science Youtube

 

Ph.D. Qualifying Exams 

A Ph.D. student must pass two of the three qualifying exams, before becoming a Ph.D. candidate. 

Upcoming Qualifying Exam Schedule for Spring, 2025

       Analysis:   9:00 am-12:00 pm.  Thursday, January 2, 2025

       Probability/Statistics:   9:00 am-12:00 pm.  Friday, January 3, 2025

       Algebra:   2:00 pm-5:00 pm.  Friday, January 3, 2025 

All the exams will be in-person format. The location is in SE 215

If you have questions or need additional information, please contact Dr. Hongwei Long.


Topics covered in the Ph.D. Qualifying Exams

Algebra Exam: group theory, Sylow theorems, the structure of finitely generated abelian groups, ring theory, Euclidean rings, UFDs, polynomial rings, vector spaces, modules, linear transformations, eigenvalues, minimal polynomials, matrices of linear transformations, Galois theory, and finite fields.

Analysis Exam: the real numbers, metric space topology, uniform convergence, Arzela-Ascoli Theorem, differentiation and Riemann integration of single-variable functions, power series, Stone-Weierstrass Theorem, measure theory, Lebesgue integral, convergence theorems for the Lebesgue integral, absolute continuity, the Fundamental Theorem of Calculus.

Probability & Statistics Exam: Advanced topics in Probability and Statistics: Borel-Cantelli lemma, normal and Poisson distributions, Chi-square and exponential distributions, t and F distributions,  Markov and Chebyshev inequalities, convergence in distribution, in probability and almost surely, law of large numbers, central limit theorem, delta method, Slutsky lemma, LSE, MLE, BLUE, sufficient statistics, Cramer-Rao inequality, Fisher information matrix, hypothesis tests via likelihood ratio test and Bayes test.

The Probability & Statistics Exam will be divided into two parts. Total 3 hours. 

Part 1   (Elementary part). This part consists of 5 elementary Probability and Stat questions. These will be the same (or very similar) questions that are given for Actuarial Exam. Students are expected to successfully complete at least 80% of these problems. 

Part 2  (Challenging part). This part consists of 5 advanced problems from Probability Theory and Math Stat classes, including 2-3 proof problems from the  predetermined list  of about 20 basic well known facts in Probability and Statistics with fairly simple proofs (less than a page). Students are expected to successfully complete at least 70% of these problems.

Note: the syllabus in any particular section of the Introductory Abstract Algebra, Introductory Analysis, and Mathematical Probability/Statistics courses might differ slightly from the subject material listed above.

References:
Topics in Algebra, 2nd ed., by Herstein, Chapters 2-5, 6.1-6.3, and 7.
Algebra, 3rd ed., by Lang, Chapters 1-6.
Abstract Algebra, 3rd ed., by Dummit and Foote, Chapters 1-5, 7-9, and 13-14, excluding 9.6 and 14.9.

Introduction to Analysis
, by Maxwell Rosenlicht, Chapters 2-7.
Real Mathematical Analysis, by Charles Pugh, Chapters 1-4.
Real Analysis, 3rd ed., by H.L. Royden, Chapters 3, 4, 5.
Principles of Mathematical Analysis, 3rd ed., by Rudin, Chapters 2-8 and 11.
Measure and Integral, by Wheeden amd Zygmund, Chapters 3-5.

A Probability Path by Resnick
Probability theory by Shiryaev
Measure Theory and Probability Theory by Athreya and Lahiri
Mathematical Statistics by Bickel and Doksum
Statistical Inference by Casella


For more information contact
Prof. Hongwei Long, Graduate Director
Department of Mathematical Sciences
Florida Atlantic University
777 Glades RD
Boca Raton, FL 33431
email: mathgraduate@fau.edu