MATH 107 A Topics in Geometrical Mathematics

Professor: Ethan Bloch

CRN: 12388

Time: Mon Wed 2:50 pm - 4:10 pm PRE 128

Geometrical thinking in mathematics involves many topics other than the traditional Euclidean geometry taught in schools. This course will explore various such topics. Areas covered will vary from semester to semester, and may include some (but not all) of the following: symmetry, groups, frieze and wallpaper patterns, graphs, surfaces, knots, higher dimensions. There is no particular mathematical prerequisite for this course beyond eligibility for Q courses, though a willingness to explore new ideas and construct convincing arguments is a necessity. Prerequisite eligibility for Q courses.


MATH 107 B Topics in Geometrical Mathematics

Professor: Lauren Rose

CRN: 12389

Time: Mon Wed 1:20 - 2:30 HEG 106

Geometrical thinking in mathematics involves many topics other than the traditional Euclidean geometry taught in schools. This course will explore various such topics. Areas covered will vary from semester to semester, and may include some (but not all) of the following: symmetry, groups, frieze and wallpaper patterns, graphs, surfaces, knots, higher dimensions. There is no particular mathematical prerequisite for this course beyond eligibility for Q courses, though a willingness to explore new ideas and construct convincing arguments is a necessity. Prerequisite eligibility for Q courses.


MATH 111 Calculus of One Variable

Professor: Lauren Rose

CRN: 12390

Time: Tu Th 2:50 pm - 4:40 pm HEG 106

An introduction to the basic ideas of differentiation and integration in one variable. Topics include limits, techniques of differentiation, definite integrals, the fundamental theorem of calculus, and applications. Prerequisite background in precalculus mathematics.


MATH 114 Multivariable Calculus

Professor: Mark Halsey

CRN: 12391

Time: Wed Fri 1:20 pm - 3:10 pm HEG 201

This course will start with a review of definite integration and introduce several important techniques of integration. Several applications of the definite integral will be discussed. To begin the study of multivariable calculus we will discuss the basic geometry of vectors in two and three dimensional Euclidean space. From there the topics covered will include: graphs of multivariable functions including contour maps, partial differentiation and the gradient, the chain rule, multiple integration, and change of variables. Prerequisite Mathematics 111 or permission of the instructor.


MATH 211 Ordinary Differential Equations

Professor: Ethan Bloch

CRN: 12392

Time: Tu Th 2:50 pm - 4:40 pm HEG 102

This course is both an introduction to ordinary differential equations as well as the final course in our three semester Calculus sequence. The course is organized around methods for solving ordinary differential equations, and incorporates ideas from Calculus as needed (such as sequences and series). Topics include first and second order differential equations, Laplace transforms and series solutions. Prerequisite Math 111 and Math 114, or permission of the instructor.


MATH 273 Applied Mathematics for Scientists

Professor: Mark Halsey

CRN: 12393

Time: Tu Th 9:00 am - 10:20 am HEG 106

This course focuses on mathematical methods used in designing and analyzing the results from experiments in the sciences, particularly biology and chemistry. Among topics covered are elementary probability and statistics, fitting and hypothesis testing, characteristics of frequency distributions, regression analysis, and propagation of uncertainties. Prerequisite Mathematics 111 or equivalent.


MATH 331 Linear Algebra

Professor: Mark Halsey

CRN: 12394

Time: Tu Th 10:30 am - 11:50 am HEG B10

This course gives an introduction to the theory of abstract vector spaces. The concept of a vector space is often useful when studying physical phenomena. Topics covered will include linear independence and dependence, bases and dimension, linear transformations, eigenvalues, eigenvectors, diagonalization, inner product spaces, and orthogonality. Prerequisite Mathematics 231 or permission of the instructor.


MATH 332 Abstract Algebra

Professor: Lauren Rose

CRN: 12395

Time: Tue Th 10:30 am - 11:30 am LC 208

An introduction to modern abstract algebraic systems. The structures of groups, rings, and fields are studied together with the homomorphisms of these objects. Topics include equivalence relations, finite groups, group actions, integral domains, polynomial rings, and finite fields. Prerequisite Mathematics 331 or permission of the instructor.


MATH 352 Differential Geometry

Professor: Ethan Bloch

CRN: 12396

Time: Mon Wed 1:20 pm - 2:40 pm HEG B10

An introduction to differential curves and surfaces in three-dimensional space. Topics include curvature, geodesics, and the Gauss-Bonnet theorem. Prerequisite Mathematics 231 or permission of the instructor.