This course is a continuation of the topics covered in MATH 130. A problem-solving lab is an integral part of the course. Required for the major in mathematics. This course emphasizes the process of mathematical reasoning, discovery, and argument. It aims to acquaint students with the nature of mathematics as a creative endeavor, as well as with the nature of mathematical methods and the phenomenon of mathematical proof, and focuses on the development of problem-solving skills.
Specific topics covered vary from year to year.
This course is an introduction to the concepts and methods of linear algebra. Among the most important topics are general vector spaces and their subspaces, linear independence, spanning and basis sets, solution space for systems of linear equations, linear transformations and their matrix representations, and inner products. It is hoped that the student will develop an appreciation for the process of mathematical abstraction and the creation of a mathematical theory. Required for the major in mathematics. A continuation of linear algebra with an emphasis on applications.