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.

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.

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.

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.

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.

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.

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.

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.

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.