1.
Mathematics, encompassing several of the original liberal arts, is valued for its exquisite intellectual beauty and its timeless exploration of all things spatial, quantitative and patterned through the lens of rigorous abstraction. As a vibrant modern science, it possesses an unparalleled analytical power for describing, detailing and deriving insight into numerous physical, biological, technological, economic and societal aspects of the world we all live in. The Mathematics Department is committed to engaging a diverse range of students in the active study and creative application of the principles, ideas and methods that characterize mathematics and the mathematical sciences, and offering preparation toward a wide variety of careers and educational pursuits.
2. Goals and Outcomes:
Goal 1: Students will develop a fundamental knowledge of continuous and discrete mathematics:
Outcome 1.1: Students will solve fundamental
problems in single- and multi-variable Calculus.
Outcome 1.2: Students will demonstrate understanding of fundamental concepts in Linear Algebra.
Outcome 1.3: Students will demonstrate understanding of fundamental techniques in Discrete Mathematics.
Outcome 1.4: Students will utilize appropriate technology
to illustrate basic mathematical knowledge, to graph functions, and to
approximate.
Goal 2:
Students will learn how to learn mathematics independently and collaboratively.
Outcome 2.1: Students will complete an individual or group project related to
the content of an upper division mathematics course, and present the results of
the project through a paper, poster, or talk.
Outcome 2.2: Students will learn and communicate mathematics to each other in a
collaborative group setting.
Goal 3: Students will communicate mathematics to others in both written and oral form.
Outcome 3.1: Students will write a clear and
well-organized paper in the model of a scholarly paper in the field.
Outcome 3.2: Students will give a clear and
well-organized presentation on a mathematical topic.
Outcome 3.3: Students can use the language of mathematics in order to present proofs of elementary mathematics statements.
Outcome 3.4: Students can interpret and clearly explain fundamental
mathematical concepts to make them understandable to a lay person.
Goal 4: Students will acquire sufficient knowledge and proficiency in computer programming to model and solve mathematics problems.
Outcome 4.1: Students can model
and solve a mathematical problem by designing an algorithm and implementing it
with computer software or a programming language.
Goal 5: Students will explore at least one field of advanced
mathematics in depth.
Outcome 5.1: Students are able to
define and deploy important terms in multiple areas of advanced mathematics.
Outcome 5.2: Students are able to
provide examples that illustrate important concepts found in multiple areas of
advanced mathematics.
Outcome 5.3: Students are able to
state and apply the principal theorems in multiple areas of advanced
mathematics.