Timeroom: Fall 2024

Durham Engineering&Physical Sciences :: Mathematics&Statistics

MATH 845 (01) - Foundations of Applied Mathematics I

Foundations of Applied Math

Online Course Delivery Method: Online Synchronous

Credits: 3.0
Term: Fall 2024 - Full Term (08/26/2024 - 12/09/2024)
Grade Mode: Letter Grading

Class Size: 5
CRN: 10657

An introduction to Partial Differential Equations (PDEs) and associated mathematical methods and the analytical foundation for applied mathematics. Topics include: PDE classification, superposition, separation of variables, orthonormal functions, completeness, convergence, Fourier Series, Sturm-Liouville eigenvalue problems, and eigenfunctions. Methods are introduced for the analysis and solution of boundary value problems, in particular, the Heat, Wave, and Laplace equations. Students are required to have a mastery of differential equations and ordinary differential equations.

Registration Approval Required. Contact Instructor or Academic Department for permission then register through Webcat.

Cross listed with : MATH 745.01

Instructors: Marianna Shubov

Start Date	End Date	Days	Time	Location
8/26/2024	12/9/2024	TR	12:40pm - 2:00pm	ONLINE

Click to see: Booklist

Durham Engineering&Physical Sciences :: Mathematics&Statistics

MATH 853 (01) - Introduction to Numerical Methods

Introduction Numerical Methods

Credits: 3.0
Term: Fall 2024 - Full Term (08/26/2024 - 12/09/2024)
Grade Mode: Letter Grading

Class Size: 5
CRN: 12514

Introduction to mathematical algorithms and methods of approximation. A wide survey of approximation methods are examined including, but not limited to, polynomial interpolation, root finding, numerical integration, approximation of differential equations, and techniques used in conjunction with linear systems. Included in each case is a study of the accuracy and stability of a given technique, as well as its efficiency and complexity. It is assumed that the student is familiar and comfortable with programming a high-level computer language. (Also offered as CS 853).

Registration Approval Required. Contact Instructor or Academic Department for permission then register through Webcat.

Cross listed with : MATH 753.01

Instructors: Mark Lyon

Start Date	End Date	Days	Time	Location
8/26/2024	12/9/2024	MWF	12:40pm - 2:00pm	KING N343

Durham Engineering&Physical Sciences :: Mathematics&Statistics

MATH 855 (01) - Probability with Applications

Probability with Applications

Credits: 3.0
Term: Fall 2024 - Full Term (08/26/2024 - 12/09/2024)
Grade Mode: Letter Grading

Class Size: 10
CRN: 10502

Introduces the theory, methods, and applications of randomness and random processes. Probability concepts, random variable, expectation, discrete and continuous probability distributions, joint distributions, conditional distributions; moment-generating functions, convergence of random variables.

Registration Approval Required. Contact Instructor or Academic Department for permission then register through Webcat.

Cross listed with : MATH 755.01

Instructors: Linyuan Li

Start Date	End Date	Days	Time	Location
8/26/2024	12/9/2024	MWF	9:40am - 11:00am	KING S320

Click to see: Booklist

Durham Engineering&Physical Sciences :: Mathematics&Statistics

MATH 855 (02) - Probability with Applications

Probability with Applications

Online Course Delivery Method: Online Synchronous

Credits: 3.0
Term: Fall 2024 - Full Term (08/26/2024 - 12/09/2024)
Grade Mode: Letter Grading

Class Size: 5
CRN: 12908

Registration Approval Required. Contact Instructor or Academic Department for permission then register through Webcat.

Cross listed with : MATH 755.02

Instructors: Linyuan Li

Start Date	End Date	Days	Time	Location
8/26/2024	12/9/2024	MWF	9:40am - 11:00am	ONLINE

Click to see: Booklist

Durham Engineering&Physical Sciences :: Mathematics&Statistics

MATH 861 (01) - Abstract Algebra

Abstract Algebra

Credits: 3.0
Term: Fall 2024 - Full Term (08/26/2024 - 12/09/2024)
Grade Mode: Letter Grading

Class Size: 10
CRN: 12310

This course establishes the axiomatic framework that underlies number systems and similar mathematical structures, investigating basic properties of groups, rings, fields and their homomorphisms.

Registration Approval Required. Contact Instructor or Academic Department for permission then register through Webcat.

Cross listed with : MATH 761.01

Instructors: Edward Hinson

Start Date	End Date	Days	Time	Location
8/26/2024	12/9/2024	MWF	9:40am - 11:00am	KING N343

Click to see: Booklist

Durham Engineering&Physical Sciences :: Mathematics&Statistics

MATH 867 (01) - One-Dimensional Real Analysis

One-Dimensional Real Analysis

Credits: 3.0
Term: Fall 2024 - Full Term (08/26/2024 - 12/09/2024)
Grade Mode: Letter Grading

Class Size: 10
CRN: 10533

Theory of limits, continuity, differentiability, integrability.

Registration Approval Required. Contact Instructor or Academic Department for permission then register through Webcat.

Cross listed with : MATH 767.01

Instructors: Junhao Shen

Start Date	End Date	Days	Time	Location
8/26/2024	12/9/2024	MWF	11:10am - 12:30pm	KING N328

Click to see: Booklist

Durham Engineering&Physical Sciences :: Mathematics&Statistics

MATH 869 (01) - Introduction to Differential Geometry

Intro Differential Geometry

Credits: 3.0
Term: Fall 2024 - Full Term (08/26/2024 - 12/09/2024)
Grade Mode: Letter Grading

Class Size: 4
CRN: 16323

Introduction to the study of the geometric properties of curves and surfaces in 3-dimensional space.

Registration Approval Required. Contact Instructor or Academic Department for permission then register through Webcat.

Cross listed with : MATH 769.01

Instructors: David Feldman

Start Date	End Date	Days	Time	Location
8/26/2024	12/9/2024	MWF	2:10pm - 3:30pm	KING N343

Durham Engineering&Physical Sciences :: Mathematics&Statistics

MATH 870 (01) - Foundations of Number Theory

Foundations of Number Theory

Credits: 3.0
Term: Fall 2024 - Full Term (08/26/2024 - 12/09/2024)
Grade Mode: Letter Grading

Class Size: 5
CRN: 16324

Factorization and prime numbers, arithmetic functions, congruences, reciprocity laws, quadratic forms, Diophantine equations, computational number theory. Offered in alternate years.

Registration Approval Required. Contact Instructor or Academic Department for permission then register through Webcat.

Cross listed with : MATH 770.01

Instructors: David Feldman

Start Date	End Date	Days	Time	Location
8/26/2024	12/9/2024	MWF	12:40pm - 2:00pm	KING N328

Durham Engineering&Physical Sciences :: Mathematics&Statistics

MATH 884 (01) - Topology

Topology

Credits: 3.0
Term: Fall 2024 - Full Term (08/26/2024 - 12/09/2024)
Grade Mode: Letter Grading

Class Size: 5
CRN: 10462

Open sets, closure, base, and continuous functions. Connectedness, compactness, separation axioms, and metrizability.

Registration Approval Required. Contact Instructor or Academic Department for permission then register through Webcat.

Prerequisite(s): (MATH 767 or MATH 867 with minimum grade of B- )

Cross listed with : MATH 784.01

Instructors: Maria Basterra

Start Date	End Date	Days	Time	Location
8/26/2024	12/9/2024	MWF	8:10am - 9:30am	KING N334

Click to see: Booklist

Durham Engineering&Physical Sciences :: Mathematics&Statistics

MATH 931 (01) - Mathematical Physics

Mathematical Physics

Credits: 3.0
Term: Fall 2024 - Full Term (08/26/2024 - 12/09/2024)
Grade Mode: Letter Grading

Class Size: 5
CRN: 10510

Complex variables, differential equations, asymptotic methods, integral transforms, special functions, linear vector spaces and matrices, Green's functions, and additional topics selected from integral equations, variational methods, numerical methods, tensor analysis, and group theory. Students are required to have a mastery of differential equations; linear algebra; multidimensional calculus.

Section Comments: Also listed as PHYS 931.

Registration Approval Required. Contact Instructor or Academic Department for permission then register through Webcat.

Equivalent(s): PHYS 931

Cross listed with : PHYS 931.01

Instructors: Sergii Pershoguba

Start Date	End Date	Days	Time	Location
8/26/2024	12/9/2024	TR	8:10am - 9:30am	DEM 251