MATH3354 Algebra 3: Advanced Topics in Algebra

Later Year Course

Offered By	Mathematical Sciences Institute
Academic Career	Undergraduate
Course Subject	Mathematics
Offered in	Second Semester, 2010 and Second Semester, 2011
Unit Value	6 units
Course Description	This course introduces students to key concepts and techniques in advanced algebra. Topics will be taken from contemporary research areas in Algebra. Possible topics include: Algebraic number theory, Analytic number theory, Algebraic geometry and scheme theory, Sheaf theory, Derived and Triangulated categories, Algebraic curves and Riemann surfaces Note: This is an HPC. It emphasizes mathematical rigour and proof and continues the development of modern algebra from an abstract viewpoint.
Learning Outcomes	On satisfying the requirements of this course, students will have the knowledge and skills to: 1. Explain the fundamental concepts of advanced algebra and their role in modern mathematics and applied contexts 2. Demonstrate accurate and efficient use of advanced algebraic techniques 3. Demonstrate capacity for mathematical reasoning through analyzing, proving and explaining concepts from advanced algebra 4. Apply problem-solving using advanced algebraic techniques applied to diverse situations in physics, engineering and other mathematical contexts
Indicative Assessment	Assessment will be based on: Assignment 1 (20%; LO 1-4) Assignment 2 (20%; LO 1-4) Assignment 3 (20%; LO 1-4) Take home exam (40%; LO 1-4)
Workload	36 lectures plus totorial by arrangement.
Requisite Statement	Prerequisite: MATH3345: Algebra 2
Recommended Courses	This course introduces students to key concepts and techniques in advanced algebra.
Academic Contact	james.borger@anu.edu.au

The information published on the Study at ANU 2010 website applies to the 2010 academic year only. All information provided on this website replaces the information contained in the Study at ANU 2009 website.