Department of Mathematics

Special Mathematics Classes: Capstones

MTH 396 Prerequisites:

MTH 396 Prerequisites: Completion of Tier I Writing Requirement, MTH 309, MTH 310, and MTH 320 (or the honors equivalents, or approval of department) and approval of the department. Typically the department expects a cumulative GPA of at least 2.0 and an average of at least 2.0 across MTH 309, MTH 310 and MTH 320. Note: Email notification will be given once your override has been issued.

MTH 496 Prerequisites:

Completion of Tier I Writing Requirement and approval of the department. Typically the department expects students to have completed MTH 309, MTH 310, and MTH 320 (or the honors equivalents) with cumulative GPA of at least 2.0 and an average of at least 2.0 across MTH 309, MTH 310 and MTH 320 Note: Email notification will be given once your override has been issued.

Spring Semester 2017: MTH 496 - An elementary Introduction to Knot Theory

An elementary Introduction to Knot Theory Description: This course will be an elementary introduction to the mathematical theory of knots with emphasis in some developments that occurred in the last 30 years. We will describe the different classifcations of knots, their properties, various ways for measuring their complexity and some applications of knot theory to biology and physics. Since some open problems in this area can be explained at an elementary level, students will also have the opportunity to get a taste of what it is like to do research in mathematics. We expect to cover material from the first eight chapters of the textbook.

Spring Semester 2017: MTH 496 Section 3 - Capstone for Actuarial Majors

Introduction to Corporate Finance and Accounting, GAAP Financial Statements, Insurer Statutory Accounting, Cash Flow Valuation, Bonds and Stocks, Insurer Investment Portfolio Management, Insurer Capital Needs and Sources, Capital Management, Mergers and Acquisitions, and The Underwriting Cycle.

Fall Semester 2017: MTH 496 Section 2 - Capstone for Actuarial Majors

Introduction to Risk Management, Risk Assessment, Risk Financing, and Enterprise Risk Management. An Overview of Insurance Operations, Insurance Regulation, Insurance Marketing and Distribution, the Underwriting Function, Underwriting Property and Liability Insurance, The Claim Function, Adjusting Property and Liability Claims, Actuarial Operations, and Reinsurance.

Fall Semester 2017: MTH 496 Knot theory, and low dimensional manifolds

Instructor: S Akbulut

We will discuss knots in 3-space, show how to use them to build and visualize low dimensional manifolds. Recommended books "Knot theory" by C. Livingston, The Carus Math. Monoghraphs (MAA) ISBN 0-88385-027-3; and "4-manifolds" by S. Akbulut, Oxford University Press, ISBN-13: 978-0198784869.

Spring Semester 2018: MTH 496 Section 1 - Machine Learning

Instructor: W Guowei and D Nguyen

This is an introductory course to Machine Learning (ML). ML is a powerful technique widely used in many big data areas such as insurance, economics, bioinformatics, medicine, face recognition etc. In this course, we will not only discuss theoretical framework of ML algorithms and architectures, but also put an emphasis on programing skills so that one is able to implement ML algorithms for real-world problems. The tentative topics will cover linear regression, logistic regressions, decision trees, SVM and KNN. If time allows, more advanced methodologies such as random forests, gradient boosting trees and deep neural networks will be offered.

Spring Semester 2018: MTH 496 Section 2 - Mathematics Masterpieces

Instructor: N Ivanov

Experience the discovery of mathematics by reading original works of some of the greatest minds throughout history. This is writing course and will involve homework problems requiring extensive written out solutions. Additionally, there will be group projects administered under the guidance of the instructor. Textbook: Knoebel, Laubenbacher, Lodder, Pengelley, Mathematical Masterpieces. Further Chronicles by the Explorers, Springer-Verlag, 2007.