Course Objectives: This course will:
- Present the relationships between abstract algebraic structures with familiar numbers systems such as the integers and real numbers.
- Present concepts of and the relationships between operations satisfying various properties (e.g. commutative property).
- Present concepts and properties of various algebraic structures.
- Discuss the importance of algebraic properties relative to working within various number systems.
- Develop the ability to form and evaluate conjectures.
Student Learning Outcomes: Students in this course will:
- Demonstrate understanding of the relationships between abstract algebraic structures with familiar numbers systems such as the integers and real numbers.
- Demonstrate understanding of and the ability to verify relationships between operations satisfying various properties (e.g. commutative property).
- Demonstrate understanding of and the ability to work within various algebraic structures.
- Demonstrate understanding of the importance of algebraic properties with regard to working within various number systems.
- Demonstrate ability to form and evaluate conjectures.