Abstract Algebra | |||
ABST ALG | |||
CLASS CODE: | MATH 441 | CREDITS: 3 | |
DIVISION: | PHYSICAL SCIENCE & ENGINEERING | ||
DEPARTMENT: | MATHEMATICS | ||
GENERAL EDUCATION: | This course does not fulfill a General Education requirement. | ||
DESCRIPTION: | Introduction to groups, rings, fields, vector spaces, and applications. | ||
TAUGHT: | Fall odd years | ||
CONTENT AND TOPICS: | |||
GOALS AND OBJECTIVES: | 1. Strengthen the student's understanding, ability and confidence in using logic and writing proofs. 2. Define and identify examples and nonexamples (with justification) of the basic structures of modern algebra: groups, rings, fields and vector spaces. 3. Understand the basic properties of the basic algebraic structures, their substructures, coset structures and their direct sums or products. 4. Understand isomorphism and homomorphism and how they reveal the relationships between algebraic structures. 5. Apply the concepts and techniques of abstract algebra to problems in the physical and mathematical sciences. |
||
REQUIREMENTS: | All students must have their own text. Assignments and exams are required by all faculty. Some faculty may require projects, oral presentations, working in groups, computer lab assignments, or other forms of assessment. |
||
PREREQUISITES: | Math 301 and Math 341 | ||
OTHER: | |||
EFFECTIVE DATE: | August 2003 |