S P R I N G 2 0 2 2

MTH 208 - CALCULUS II

Section 01 | 09:55 - 10:50am | MTWR | Cent 3213

Section 02 | 11:00 - 11:55am | MTWR | Cent 3213

A continuation of Calculus I with a rigorous introduction to sequences and series. Topics include techniques of integration and indeterminate forms, improper integrals, applications of integrals to the physical sciences, tests for the convergence of series, absolute convergence, power series, and Taylor's Theorem with Remainder. First order linear differential equations are explored, as well as the geometry of space.

MTH 415 - TOPOLOGY

Section 01 | 02:15 - 03:40pm | TR | Cow 103

An introduction to the study of topological spaces and their structure-preserving (continuous) functions. We develop concepts from point-set topology including methods of construction of topological spaces, continuity, connectedness, compactness, and the Hausdorff condition.

INDEPENDENT STUDY / SPECIAL TOPICS IN MATHEMATICS:

MTH 479 - Teaching Apprenticeship for Calculus II

This is a TA course for education majors who are aiming to become future math teachers.

MTH 495 - Functional Analysis with Dr. Allen

MTH 498 - Legendrian Knots with Dr. George

F A L L 2 0 2 1

MTH 151- PRECALCULUS

Section 416 | 11:00 - 11:55am | MTWR | Canvas (online synchronous)

A precalculus course on properties, graphs, and applications of elementary transcendental functions. Topics include concepts from analytic geometry, theory of equations, the logarithmic, exponential, trigonometric, and inverse trigonometric functions, and analytic trigonometry.

MTH 208 - CALCULUS II

Section 414 | 01:10 - 02:05pm | MTWR | Canvas (online synchronous)

Section 415 | 02:15 - 03:10pm | MTWR | Canvas (online synchronous)

A continuation of Calculus I with a rigorous introduction to sequences and series. Topics include techniques of integration and indeterminate forms, improper integrals, applications of integrals to the physical sciences, tests for the convergence of series, absolute convergence, power series, and Taylor's Theorem with Remainder. First order linear differential equations are explored, as well as the geometry of space.

INDEPENDENT STUDY / SPECIAL TOPICS IN MATHEMATICS:

MTH 479 - Teaching Apprenticeship for Precalculus

This is a TA course for education majors who are aiming to become future math teachers.

MTH 495 - INTRO TO MANIFOLDS

This course is an advanced undergraduate-level introduction to the theory of manifolds.

MTH 498 - GALOIS THEORY

This courses is an introduction to Galois theory. Topics include rings and fields, principal ideal domains, polynomials over a field, irreducibility and factorization, field extensions and splitting fields, Galois groups and the main theorems of Galois theory. Applications will include the determination of which geometric constructions are possible with a straightedge and compass, and proving the impossibility of solving the general nth degree polynomial via radicals when n ≥ 5.

S P R I N G 2 0 2 1

MTH 310 - CALCULUS III (multivariable)

Section 01 | 09:55 - 10:50am | MTWR | Cent 3102

Section 02 | 11:00 - 11:55am | MTWR | Cent 3102

A course in higher dimensional calculus, partial derivatives, and multiple integrals. Topics include parametric curves, polar (and other) coordinate systems, vector fields, scalar fields, the gradient vector, chain rule, Jacobian, Green's Theorem, Stokes' Theorem, and the Divergence Theorem.

MTH 415 - TOPOLOGY

Section 01 | 02:15 - 03:40pm | TR | Cent 2213

An introduction to the study of topological spaces and their structure-preserving (continuous) functions. We develop concepts from point-set topology including methods of construction of topological spaces, continuity, connectedness, compactness, and the Hausdorff condition.

INDEPENDENT STUDY / SPECIAL TOPICS IN MATHEMATICS:

MTH 495 - p-ADIC NUMBERS

This seminar studied the basics of p-adic numbers with a focus on analytic, topological and algebraic structures and relationships between them.

MTH 498 - ALGEBRAIC TOPOLOGY

This seminar studied the basics of homology following Allen Hatcher's Algebraic Topology text.

F A L L 2 0 2 0

MTH 151- PRECALCULUS

Section 416 | 11:00 - 11:55am | MTWR | Canvas (online synchronous)

A precalculus course on properties, graphs, and applications of elementary transcendental functions. Topics include concepts from analytic geometry, theory of equations, the logarithmic, exponential, trigonometric, and inverse trigonometric functions, and analytic trigonometry.

MTH 208 - CALCULUS II

Section 414 | 01:10 - 02:05pm | MTWR | Canvas (online synchronous)

Section 415 | 02:15 - 03:10pm | MTWR | Canvas (online synchronous)

A continuation of Calculus I with a rigorous introduction to sequences and series. Topics include techniques of integration and indeterminate forms, improper integrals, applications of integrals to the physical sciences, tests for the convergence of series, absolute convergence, power series, and Taylor's Theorem with Remainder. First order linear differential equations are explored, as well as the geometry of space.

S P R I N G 2 0 2 0

MTH 310 - CALCULUS III (multivariable)

Section 01 | 09:55 - 10:50am | MTWR | Cent 3102

Section 02 | 11:00 - 11:55am | MTWR | Cent 3102

A course in higher dimensional calculus, partial derivatives, and multiple integrals. Topics include parametric curves, polar (and other) coordinate systems, vector fields, scalar fields, the gradient vector, chain rule, Jacobian, Green's Theorem, Stokes' Theorem, and the Divergence Theorem.

MTH 415 - TOPOLOGY

Section 01 | 02:15 - 03:40pm | TR | Cent 2213

An introduction to the study of topological spaces and their structure-preserving (continuous) functions. We develop concepts from point-set topology including methods of construction of topological spaces, continuity, connectedness, compactness, and the Hausdorff condition.

INDEPENDENT STUDY / SPECIAL TOPICS IN MATHEMATICS:

MTH 495 - DIFFERENTIAL GEOMETRY

This interdisciplinary seminar aimed at math and physics majors explores the differential geometry of curves and surfaces, the study of matrix groups as fundamental examples in Lie theory, and the theory of differential forms.

MTH 498 - MEASURE AND INTEGRATION THEORY

This seminar is a beginning graduate-level introduction to the machinations of measure theory, which follows Shledon Axler's Measure, Integration & Real Analysis.

F A L L 2 0 1 9

MTH 151 - PRECALCULUS

Section 03 | 09:55 - 10:50am | MTWR | Cent 3314

A precalculus course on properties, graphs, and applications of elementary transcendental functions. Topics include concepts from analytic geometry, theory of equations, the logarithmic, exponential, trigonometric, and inverse trigonometric functions, and analytic trigonometry.

MTH 208 - CALCULUS II

Section 03 | 12:05 - 01:00pm | MTWR | Cent 3105

Section 04 | 01:10 - 02:05pm | MTWR | Cent 3105

A continuation of Calculus I with a rigorous introduction to sequences and series. Topics include techniques of integration and indeterminate forms, improper integrals, applications of integrals to the physical sciences, tests for the convergence of series, absolute convergence, power series, and Taylor's Theorem with Remainder. First order linear differential equations are explored, as well as the geometry of space.

S P R I N G 2 0 1 9

MTH 151 - PRECALCULUS

Section 02 | 09:55 - 10:50am | MTWR | Cent 3213

Section 04 | 11:00 - 11:55am | MTWR | Cent 3213

A precalculus course on properties, graphs, and applications of elementary transcendental functions. Topics include concepts from analytic geometry, theory of equations, the logarithmic, exponential, trigonometric, and inverse trigonometric functions, and analytic trigonometry.

MTH 461 - MATHEMATICAL PHYSICS

Section 01 | 02:15 - 3:40pm | TR | Cent 3314

In depth study of topics from vector analysis, Fourier analysis and special functions with emphasis on modeling physical phenomena involving conservative fields, fluid flow, heat conduction, and wave motion.

INDEPENDENT STUDY / SPECIAL TOPICS IN MATHEMATICS:

MTH 495-02 - Representation Theory in Quantum Physics

This course studies the predictive power of representation theory in quantum physics. We leverage techniques from linear algebra, group theory and calculus to make predictions about the dimensions of the basic states of a quantum system with symmetry. The course starts with a review of linear algebra and culminates in a thorough study of the representation theory of SU(2) and SO(3). Our physical focus lies on the single electron in a hydrogen atom.

MTH 495-05 - Lie Theory I: Geometry & Representations

This course provides an introduction to Lie groups and Lie algebras with a focus on matrix Lie groups and their Lie algebras.

MTH 495-08 - Galois Theory

This courses is an introduction to Galois theory. Topics include rings and fields, principal ideal domains, polynomials over a field, irreducibility and factorization, field extensions and splitting fields, Galois groups and the main theorems of Galois theory. Applications will include the determination of which geometric constructions are possible with a straightedge and compass, and proving the impossibility of solving the general nth degree polynomial via radicals when n ≥ 5.

F A L L 2 0 1 8

MTH 207 - CALCULUS I

Section 05 | 11:00 - 11:55am | MTWRF | Cent 3211

Section 06 | 12:05 - 01:00pm | MTWRF | Cent 3211

A rigorous introduction to calculus. Topics include limits, rules for differentiation, derivatives of trigonometric, logarithmic and exponential functions, the Mean Value Theorem, integration, and the Fundamental Theorem of Calculus. In the area of applications, the course covers problems on related rates, extrema, areas, volumes, and Newton’s Second Law.

MTH 411 - ABSTRACT ALGEBRA

Section 01 | 02:15 - 3:40pm | TR | Cowley 111

A rigorous approach to algebraic systems including a study of groups, rings, integral domains and fields with applications to polynomials.

S P R I N G 2 0 1 8

MTH 151 - PRECALCULUS

Section 06 | 02:15 - 03:10pm | MTWR | Cent 3205

Section 07 | 03:20 - 04:15pm | MTWR | Cent 3205

A precalculus course on properties, graphs, and applications of elementary transcendental functions. Topics include concepts from analytic geometry, theory of equations, the logarithmic, exponential, trigonometric, and inverse trigonometric functions, and analytic trigonometry.

MTH 411 - ABSTRACT ALGEBRA

Section 01 | 11:00 - 12:25pm | TR | Cent 3204

A rigorous approach to algebraic systems including a study of groups, rings, integral domains and fields with applications to polynomials.

INDEPENDENT STUDY / SPECIAL TOPICS IN MATHEMATICS:

MTH 395-02 - FINITE DIMENSIONAL VECTOR SPACES

This course deepens the theoretical foundations of material covered in a first course in linear algebra, and goes further with the study of inner product spaces, direct sums, primary decompositions, canonical forms, dual spaces and orthogonality, and the spectral theorem.

MTH 498-01 - ALGEBRAIC NUMBERS AND DIOPHANTINE APPROXIMATION

This course is an introduction to the study of algebraic number theory and Diophantine approximation.

F A L L 2 0 1 7

MTH 151 - PRECALCULUS

Section 11 | 03:20 - 04:15pm | MTWR | Cent 3213

A precalculus course on properties, graphs, and applications of elementary transcendental functions. Topics include concepts from analytic geometry, theory of equations, the logarithmic, exponential, trigonometric, and inverse trigonometric functions, and analytic trigonometry.

MTH 309 - LINEAR ALGEBRA

Section 02 | 12:05 - 01:00pm | MTWRF | Cent 3215

Section 03 | 01:10 - 02:15pm | MTWRF | Cent 3215

A systematic study of linear algebra, and its intersections with differential equations. Topics include: vectors, matrices, systems of linear equations, determinants, vector spaces, subspaces, basis and dimension, linear transformations and their matrix representations, similar matrices and diagonalization, and systems of first order linear differential equations.

INDEPENDENT STUDY / SPECIAL TOPICS IN MATHEMATICS:

MTH 495-01 - CALCULUS ON MANIFOLDS

This course is an advanced undergraduate-level introduction to the machinery of calculus on manifolds. The course will begin with the study of calculus on Euclidean spaces, the inverse and implicit function theorems, Fubini's theorem, partitions of unity, the change of variables theorem and differential forms, and then move to the setting of smooth manifolds and their tangent spaces, fields and forms on smooth manifolds and end with Stokes' theorem.

S P R I N G 2 0 1 7

MTH 150 - COLLEGE ALGEBRA

Section 06 | 11:00 - 11:55am | MTWR | Cent 3105

Section 11 | 12:05 - 01:00pm | MTWR | Cent 3105

A college algebra course on the properties, graphs, and applications of elementary functions. Topics include the real and complex numbers, concepts from analytic geometry, solutions to equations and inequalities, the elementary algebraic functions, and the logarithmic and exponential functions.

MTH 309 - LINEAR ALGEBRA

Section 03 | 02:15 - 03:10pm | MTWRF | Cowley 111

A systematic study of linear algebra, and its intersections with differential equations. Topics include: vectors, matrices, systems of linear equations, determinants, vector spaces, subspaces, basis and dimension, linear transformations and their matrix representations, similar matrices and diagonalization, and systems of first order linear differential equations.

INDEPENDENT STUDY / SPECIAL TOPICS IN MATHEMATICS:

MTH 495-01 - ALGEBRAIC TOPOLOGY

This course is an advanced undergraduate-level introduction to the machinery of algebraic topology. Topics will include the fundamental group and covering spaces, triangulations, the classification of surfaces, simplicial homology, topological degree, and knots.

F A L L 2 0 1 6

MTH 151 - PRECALCULUS

Section 09 | 02:15 - 03:10pm | MTWR | Cent 3305

Section 11 | 03:20 - 04:15pm | MTWR | Cent 3305

A precalculus course on properties, graphs, and applications of elementary transcendental functions. Topics include concepts from analytic geometry, theory of equations, the logarithmic, exponential, trigonometric, and inverse trigonometric functions, and analytic trigonometry.

MTH 309 - LINEAR ALGEBRA

Section 02 | 12:05 - 01:00pm | MTWRF | Cent 3311

A systematic study of linear algebra, and its intersections with differential equations. Topics include: vectors, matrices, systems of linear equations, determinants, vector spaces, subspaces, basis and dimension, linear transformations and their matrix representations, similar matrices and diagonalization, and systems of first order linear differential equations.

INDEPENDENT STUDY / SPECIAL TOPICS IN MATHEMATICS:

MTH 495-01 - TOPOLOGY

This course is a rigorous study of point-set topology with an introduction to algebraic topology. We study topological spaces and structure-preserving (continuous) maps between them, various constructions of topological spaces, topological properties like connectedness and compactness, separation axioms, and the fundamental group.

S P R I N G 2 0 1 6

MTH 151 - PRECALCULUS

Section 09 | 02:15 - 03:10pm | MTWR | Cent 3105

Section 10 | 03:20 - 04:15pm | MTWR | Cent 3105

A precalculus course on properties, graphs, and applications of elementary transcendental functions. Topics include concepts from analytic geometry, theory of equations, the logarithmic, exponential, trigonometric, and inverse trigonometric functions, and analytic trigonometry.

MTH 207 - Calculus I

Section 04 | 12:05 - 01:00pm | MTWRF | Cent 3101

This course covers the basic theory underlying the differential and integral calculus. Convergence of sequences is examined. Theoretical concepts of calculus are examined and particular attention is given to writing proofs.

INDEPENDENT STUDY / SPECIAL TOPICS IN MATHEMATICS:

MTH 495-01/09 - ALGEBRAIC TOPOLOGY

This course is an advanced undergraduate-level introduction to the machinery of algebraic topology. Topics will include identification spaces, the fundamental group, triangulations, the classification of surfaces, simplicial homology, topological degree, knots and covering spaces.

MTH 495-02/04 - DIFFERENTIAL GEOMETRY (RIEMANNIAN, CONTACT, SYMPLECTIC)

This course provides a 'local' introduction to differential geometry as the study of tensor structures on the tangent bundle. Topics include basic multilinear algebra, tangent spaces, vector fields and integral curves, differential forms and tensors; before moving on to the study of symmetric positive definite (0,2)-tensors (Riemannian geometry), non-degenerate one-forms (contact geometry), and closed non-degenerate two-forms (symplectic geometry).

MTH 495-06 - FURTHER LINEAR ALGEBRA

This course covers the theoretical foundations of material covered in MTH 309 (Linear Algebra & Differential Equations) and goes further with the study of inner product spaces, direct sums, primary decompositions, canonical forms, dual spaces and orthogonality.

MTH 495-05 - GEOMETRIC MEASURE THEORY & FRACTAL GEOMETRY

This course is an advanced undergraduate-level introduction to the machinery of geometric measure theory and the study of fractal sets. Topics include the construction and properties of Hausdorff measures and Hausdorff dimension, Minkowski dimension, various techniques for calculating dimensions, iterated function systems, and an introduction to Sullivan's dictionary.

F A L L 2 0 1 5

MTH 151 - PRECALCULUS

Section 03 | 09:55 - 10:50am | MTWR | Cent 3105

Section 06 | 11:00 - 11:55am | MTWR | Cent 3105

A precalculus course on properties, graphs, and applications of elementary transcendental functions. Topics include concepts from analytic geometry, theory of equations, the logarithmic, exponential, trigonometric, and inverse trigonometric functions, and analytic trigonometry.

MTH 407 - REAL ANALYSIS I

Section 01 | 02:15 - 03:40pm | MW | Cowley 201

This course covers the basic theory underlying the differential and integral calculus. Convergence of sequences is examined. Theoretical concepts of calculus are examined and particular attention is given to writing proofs.

INDEPENDENT STUDY / SPECIAL TOPICS IN MATHEMATICS:

MTH 495-01 - TOPOLOGY

This course is a rigorous study of point-set topology with an introduction to algebraic topology. We study topological spaces and structure-preserving (continuous) maps between them, various constructions of topological spaces, topological properties like connectedness and compactness, separation axioms, and the fundamental group.

S P R I N G 2 0 1 5

Real Analysis Symposium, 31 March and 1 April, 5:00pm to 6:30pm, Cowley 103.

View Titles/Abstracts here.

MTH 151 - PRECALCULUS

Section 07 | 02:15 - 3:10pm | MTWR | Cent 3302

Section 08 | 03:20 - 4:15pm | MTWR | Cent 3302

A precalculus course on properties, graphs, and applications of elementary transcendental functions. Topics include concepts from analytic geometry, theory of equations, the logarithmic, exponential, trigonometric, and inverse trigonometric functions, and analytic trigonometry.

MTH 408 - REAL ANALYSIS iI

Section 01 | 11:00 - 12:25pm | TH | Cowley 111

This course covers convergence of series and basic theory of power series. Further study of real analysis via selected topics such as the theory of convergence, Lebesgue-Stieljes integration, Fourier analysis, probability theory, approximation theory and metric spaces.

INDEPENDENT STUDY / SPECIAL TOPICS IN MATHEMATICS:

MTH 495-04 - HONORS COMPLEX ANALYSIS

This course is a rigorous study of the theory of analytic functions of one complex variable. Topics will include the Cauchy-riemann equations, contour integration, Cauchy's integral theorem and applications, singularities, Taylor and Laurent series, residue calculus and the evaluation of real integrals, conformal mapping, normal families and the Riemann mapping theorem.

F A L L 2 0 1 4

MTH 151 - PRECALCULUS

Section 07 | 12:05 - 1:00pm | MTWR | Cent 3211

Section 09 | 01:10 - 2:05pm | MTWR | Cent 3211

A precalculus course on properties, graphs, and applications of elementary transcendental functions. Topics include concepts from analytic geometry, theory of equations, the logarithmic, exponential, trigonometric, and inverse trigonometric functions, and analytic trigonometry.

MTH 407 - REAL ANALYSIS I

Section 01 | 09:55 - 10:50am | MWR | Cowley 111

This course covers the basic theory underlying the differential and integral calculus. Convergence of sequences is examined. Theoretical concepts of calculus are examined and particular attention is given to writing proofs.

INDEPENDENT STUDY / SPECIAL TOPICS IN MATHEMATICS:

MTH 395-04 - HYPERBOLIC GEOMETRY AND COMPLEX ANALYSIS

This course studies the deep connection between two-dimensional hyperbolic geometry and complex analysis. Topics will include the Riemann mapping theorem, the Gauss-Bonnet and Riemann-Hurwitz theorem, properly discontinuous isometric group actions (Fuchsian groups) and their limit sets.

MTH 395-06 - FURTHER LINEAR ALGEBRA

This course covers the theoretical foundations of material covered in MTH 309 (Linear Algebra & Differential Equations) and goes further with the study of inner product spaces, direct sums, primary decompositions, canonical forms, dual spaces and orthogonality.

S P R I N G 2 0 1 4

MTH 207 - CALCULUS I

Section 03 | 10:00 - 10:55am | MTWRF | Cent 3302

Section 04 | 11:00 - 11:55am | MTWRF | Cent 3302

A rigorous introduction to calculus. Topics include limits, rules for differentiation, derivatives of trigonometric, logarithmic and exponential functions, the Mean Value Theorem, integration, and the Fundamental Theorem of Calculus. In the area of applications, the course covers prob- lems on related rates, extrema, areas, volumes, and Newton’s Second Law.

F A L L 2 0 1 3

MTH 151 - PRECALCULUS

Section 09 | 3:20 - 4:15pm | MTWR | Cent 3213

Section 10 | 4:25 - 5:20pm | MTWR | Cent 3213

A precalculus course on properties, graphs, and applications of elementary transcendental functions. Topics include concepts from analytic geometry, theory of equations, the logarithmic, exponential, trigonometric, and inverse trigonometric functions, and analytic trigonometry.

MTH 309 - LINEAR ALGEBRA WITH DIFFERENTIAL EQUATIONS

Section 03 | 1:10 - 2:05pm | MTWR | Cowley 111

A systematic study of linear algebra, and its intersections with differential equations. Topics include: vectors, matrices, systems of linear equations, determinants, vector spaces, subspaces, basis and dimension, linear transformations and their matrix representations, similar matrices and diagonalization, system of first order linear differential equations, and higher order linear differential equations.