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MATH 541. Modern Algebra 1.

Credit Hours: 
3
Semester Offered: 
Comments From Graduate Director: 
This is the basic graduate course in algebra. Note that algebra is one of the areas of the M.S. Advanced Exams/Ph.D. entrance exams. Math 541 follows in the spring with a second semester, Math 641, and both courses are needed if you are taking the exam. Math 541 is a basic prerequisite for advanced courses in combinatorics, graph theory, and number theory. It is a popular course for first year M.S. students and for first year Ph.D. students who expect to take the Entrance Exam in that area.

MATH 543. Linear Algebra.

Credit Hours: 
3
Semester Offered: 

MATH 545. Number Theory 1.

Credit Hours: 
3
Semester Offered: 
Comments From Graduate Director: 
This course is offered about every other year and provides a graduate-level introduction to Number Theory. Depending on interest, there is sometimes a second semester of Number Theory, Math 645, offered in the spring.

MATH 551. Real Variables 1.

Credit Hours: 
3
Semester Offered: 
Comments From Graduate Director: 
This is the first semester of a basic graduate two-semester course (551/651) in real analysis. Real analysis is one of the areas of the M.S. Advanced Exams/Ph.D. entrance exams and the full-year sequence should be taken if preparing for the exam. It is a prerequisite for the doctoral sequence in functional analysis and other doctoral-level courses in analysis and applied mathematics. You should have a good background in advanced calculus (Math 451 at least) before taking this class. The first semester is largely devoted to developing Lebesgue measure. Math 651, Real Variables II, is offered in the spring.

MATH 555. Complex Variables 1.

Credit Hours: 
3
Semester Offered: 
Comments From Graduate Director: 
This course is offered every other year and provides a graduate-level introduction to complex variables. Math 451 is generally an expected prerequisite. A basic knowledge of complex variables, at least at an undergraduate level, is essential in many areas of pure and applied mathematics so if you have no prior background and you have taken a course similar to Math 451, you might want to consider taking this course. Otherwise, we offer an undergraduate course Math 456 each spring which in most cases does not count toward course work requirements but will give you a working knowledge of the area. Also Math 568 covers basic complex variables from an engineering mathematics viewpoint.

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