MATH6216 Algebra 3: Advanced Topics in Algebra

Offered By	Mathematical Sciences Institute
Academic Career	Graduate Coursework
Course Subject	Mathematics
Offered in	Second Semester, 2013 and Second Semester, 2014
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
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
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) Graduate students attend joint classes with undergraduates but will be assessed differently. Graduate students will be required to do one or two additional or different questions in each assignment and in the take home exam, making up a difference of at least 15% in the assessment.
Workload	36 lectures plus totorial by arrangement.
Course Classification(s)	AdvancedAdvanced courses are designed for students having reached 'first degree' level of assumed knowledge, which provide a deep understanding of contemporary issues; or 'second degree' and higher levels of knowledge; or for transition to research training programs. and SpecialistSpecialist courses are designed for students having reached 'first degree' level of assumed knowledge, which provide for the acquisition of specialist skills; or 'second degree' and higher level of knowledge; or for transition to research training programs; or knowledge associated with professional accreditation.
Requisite Statement	Prerequisite: MATH6215 Algebra 2
Recommended Courses	This course introduces students to key concepts and techniques in advanced algebra.
Academic Contact	james.borger@anu.edu.au and james.borger@anu.edu.au

The information published on the Study at ANU 2013 website applies to the 2013 academic year only. All information provided on this website replaces the information contained in the Study at ANU 2012 website.