Timeroom: Fall 2023

Durham Engineering&Physical Sciences :: Mathematics&Statistics

MATH 745 (01) - Foundations of Applied Mathematics I

Foundations of Applied Math

Credits: 4.0
Term: Fall 2023 - Full Term (08/28/2023 - 12/11/2023)
Grade Mode: Letter Grading

Class Size: 20
CRN: 10742

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. Prereq: MATH 527 and MATH 528; or equivalent.

Classes not allowed in section: Freshman, Sophomore

Instructors: Marianna Shubov

Start Date	End Date	Days	Time	Location
8/28/2023	12/11/2023	TR	12:40pm - 2:00pm	ONLINE

Durham Engineering&Physical Sciences :: Mathematics&Statistics

MATH 753 (01) - Introduction to Numerical Methods I

Intro to Numerical Methods I

Credits: 4.0
Term: Fall 2023 - Full Term (08/28/2023 - 12/11/2023)
Grade Mode: Letter Grading

Class Size: 20
CRN: 12997

Introduces mathematical algorithms and methods of approximation. Topics include a wide survey of approximation methods. Methods examined include polynomial interpolation, root finding, numerical linear algebra, numerical integration, and the approximation of differential equations. Included in each case is a study of the accuracy and stability of a given technique, as well as its efficiency. Prereq: MATH 426; MATH 445 (or CS 410 or IAM 550).

Classes not allowed in section: Freshman, Sophomore

Instructors: STAFF

Start Date	End Date	Days	Time	Location
8/28/2023	12/11/2023	MWF	12:40pm - 2:00pm	KING N343

Durham Engineering&Physical Sciences :: Mathematics&Statistics

MATH 755 (01) - Probability with Applications

Probability with Applications

Credits: 4.0
Term: Fall 2023 - Full Term (08/28/2023 - 12/11/2023)
Grade Mode: Letter Grading

Class Size: 20
CRN: 10562

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. Prereq: MATH 528 and MATH 539 (or MATH 644).

Classes not allowed in section: Freshman, Sophomore

Instructors: Linyuan Li

Start Date	End Date	Days	Time	Location
8/28/2023	12/11/2023	MWF	9:40am - 11:00am	KING S320

Durham Engineering&Physical Sciences :: Mathematics&Statistics

MATH 755 (02) - Probability with Applications

Probability with Applications

Online Course Delivery Method: Scheduled meeting time, Online (no campus visits), EUNH

Credits: 4.0
Term: Fall 2023 - Full Term (08/28/2023 - 12/11/2023)
Grade Mode: Letter Grading

Class Size: 10
CRN: 13535

Classes not allowed in section: Freshman, Sophomore

Instructors: Linyuan Li

Start Date	End Date	Days	Time	Location
8/28/2023	12/11/2023	MWF	9:40am - 11:00am	ONLINE

Durham Engineering&Physical Sciences :: Mathematics&Statistics

MATH 760 (01) - Geometry

Geometry

Credits: 4.0
Term: Fall 2023 - Full Term (08/28/2023 - 12/11/2023)
Grade Mode: Letter Grading

Class Size: 18
CRN: 12115

Advanced approach to fundamental properties of Euclidean and other geometries through deductive reasoning and proof. Prereq: MATH 531. Writing intensive.

Equivalent(s): MATH 657

Attributes: Writing Intensive Course

Instructors: Orly Buchbinder

Start Date	End Date	Days	Time	Location
8/28/2023	12/11/2023	MW	2:10pm - 4:00pm	KING W387

Durham Engineering&Physical Sciences :: Mathematics&Statistics

MATH 761 (01) - Abstract Algebra

Abstract Algebra

Credits: 4.0
Term: Fall 2023 - Full Term (08/28/2023 - 12/11/2023)
Grade Mode: Letter Grading

Class Size: 20
CRN: 10189

This course establishes the axiomatic framework that underlies number systems and similar mathematical structures, investigating basic properties of groups, rings, fields and their homomorphisms. Prereq: MATH 531. Writing intensive.

Classes not allowed in section: Freshman, Sophomore

Attributes: Writing Intensive Course

Instructors: STAFF

Start Date	End Date	Days	Time	Location
8/28/2023	12/11/2023	MWF	9:40am - 11:00am	MORSE 217

Durham Engineering&Physical Sciences :: Mathematics&Statistics

MATH 765 (01) - Introduction to Commutative Algebra and Algebraic Geometry

Intro Comm Alg & Alg Geom

Credits: 4.0
Term: Fall 2023 - Full Term (08/28/2023 - 12/11/2023)
Grade Mode: Letter Grading

Class Size: 20
CRN: 15777

Methods of determining solution sets of polynomial systems; affine varieties and their ideals; the 'algebra-geometry correspondence'; theory and applications of Grobner bases. Prereq: MATH 531, MATH 761 or permission of instructor.

Classes not allowed in section: Freshman, Sophomore

Instructors: STAFF

Start Date	End Date	Days	Time	Location
8/28/2023	12/11/2023	MWF	12:40pm - 2:00pm	KING N328

Durham Engineering&Physical Sciences :: Mathematics&Statistics

MATH 767 (01) - One-Dimensional Real Analysis

One-Dimensional Real Analysis

Credits: 4.0
Term: Fall 2023 - Full Term (08/28/2023 - 12/11/2023)
Grade Mode: Letter Grading

Class Size: 25
CRN: 10605

Theory of limits, continuity, differentiability, and integrability. Prereq: MATH 531. Writing intensive.

Classes not allowed in section: Freshman, Sophomore

Attributes: Writing Intensive Course

Instructors: STAFF

Start Date	End Date	Days	Time	Location
8/28/2023	12/11/2023	MWF	11:10am - 12:30pm	PARS NB24

Durham Engineering&Physical Sciences :: Mathematics&Statistics

MATH 776 (01) - Logic

Logic

Credits: 4.0
Term: Fall 2023 - Full Term (08/28/2023 - 12/11/2023)
Grade Mode: Letter Grading

Class Size: 20
CRN: 15778

Examination of the basic notions of soundness and completeness, first for sentential and then for propositional logic. Turning to the question of decision procedures for logical formulae, the concept of recursive function, which emerges in the work of Church and Turning, provides the essential link between logic and theory of computation. The course culminates with Godel's Incompleteness Theorems, which demonstrate the intrinsic limitations of the logical method. Prereq: MATH 531. Offered in alternate years.

Classes not allowed in section: Freshman, Sophomore

Instructors: STAFF

Start Date	End Date	Days	Time	Location
8/28/2023	12/11/2023	MWF	2:10pm - 3:30pm	MORSE 217

Durham Engineering&Physical Sciences :: Mathematics&Statistics

MATH 784 (01) - Topology

Topology

Credits: 4.0
Term: Fall 2023 - Full Term (08/28/2023 - 12/11/2023)
Grade Mode: Letter Grading

Class Size: 15
CRN: 10526

Open sets, closure, base, and continuous functions; connectedness, compactness, separation axioms, and metrizability. Prereq: MATH 767/MATH 867 or permission.

Classes not allowed in section: Freshman, Sophomore

Attributes: Writing Intensive Course

Instructors: STAFF

Start Date	End Date	Days	Time	Location
8/28/2023	12/11/2023	MWF	8:10am - 9:30am	KING N334