University of Illinois at Urbana-ChampaignDepartment of Mathematics
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Study Guides for Comprehensive Exams

Comprehensive exams for study purposes are posted here as soon after they have been given as is feasible.

January 2008
Math 500. Abstract Algebra I
Math 501. Abstract Algebra II
Math 525. Topology
Math 530. Algebraic Number Theory
Math 531. Analytic Number Theory
Math 540. Real Analysis
Math 542. Complex Analysis
Math 553. PDEs
Math 561. Probability
Math 570. Logic
Math 580. Combinatorics

 

May 2008
August 2008

January 2007
Math 500. Abstract Algebra I
Math 501. Abstract Algebra II
Math 520. Differentiable Manifolds
Math 525. Topology
Math 530. Algebraic Number Theory
Math 531. Analytic Number Theory
Math 540. Real Analysis
Math 542. Complex Analysis
Math 550. Ordinary Diff Equations
Math 553. PDEs
Math 561. Probability
Math 570. Logic
Math 580. Combinatorics

 

May 2007
Math 500. Abstract Algebra I
Math 501. Abstract Algebra II
Math 520. Differentiable Manifolds
Math 525. Topology
Math 530. Algebraic Number Theory
Math 531. Analytic Number Theory
Math 540. Real Analysis
Math 542. Complex Analysis
Math 550. Ordinary Diff Equations
Math 553. PDEs
Math 561. Probability
Math 570. Logic
Math 580. Combinatorics

 

August 2007
Math 500. Abstract Algebra I
Math 501. Abstract Algebra II
Math 525. Topology
Math 531. Analytic Number Theory
Math 540. Real Analysis
Math 542. Complex Analysis
Math 553. PDEs
Math 570. Logic
Math 580. Combinatorics

 

January 2006
Math 500. Abstract Algebra I
Math 501. Abstract Algebra II
Math 520. Differentiable Manifolds
Math 525. Topology
Math 531. Analytic Number Theory
Math 540. Real Analysis
Math 542. Complex Analysis
Math 550. Ordinary Diff Equations
Math 553. PDEs
Math 561. Probability
Math 570. Logic
Math 580. Combinatorics

 

May 2006
Math 500. Abstract Algebra I
Math 501. Abstract Algebra II
Math 520. Differentiable Manifolds
Math 525. Topology
Math 530. Algebraic Number Theory
Math 531. Analytic Number Theory
Math 540. Real Analysis
Math 542. Complex Analysis
Math 550. Ordinary Diff Equations
Math 553. PDEs
Math 561. Probability
Math 570. Logic
Math 580. Combinatorics

 

August 2006
Math 500. Abstract Algebra I
Math 501. Abstract Algebra II
Math 520. Differentiable Manifolds
Math 525. Topology
Math 530. Algebraic Number Theory
Math 531. Analytic Number Theory
Math 540. Real Analysis
Math 542. Complex Analysis
Math 550. Ordinary Diff Equations
Math 553. PDEs
Math 561. Probability
Math 570. Logic
Math 580. Combinatorics

 

January 2005
Math 500, Abstract Algebra I
Math 501, Abstract Algebra II
Math 520, Differentiable Manifolds
Math 525, Topology
Math 530, Algebraic Number Theory
Math 531, Analytic Number Theory
Math 540, Real Analysis
Math 542, Complex Analysis
Math 561, Probability
Math 570, Logic
Math 580, Combinatorics

May 2005
Math 500, Abstract Algebra I
Math 501, Abstract Algebra II
Math 525, Topology
Math 530, Algebraic Number Theory
Math 540, Real Analysis
Math 542, Complex Analysis
Math 553, PDEs
Math 570, Logic
Math 580, Combinatorics

August 2005
Math 500, Abstract Algebra I
Math 501, Abstract Algebra II
Math 520, Differentiable Manifolds
Math 525, Topology
Math 530, Algebraic Number Theory
Math 540, Real Analysis
Math 542, Complex Analysis
Math 553, PDE's
Math 570, Logic
Math 580, Combinatorics

 
January 2004
Math 401, Abstract Algebra I
Math 402, Abstract Algebra II
Math 405, Algebraic Number Theory
Math 410, Logic
Math 423, Differential Geometry
Math 430, Topology
Math 440, Complex Analysis
Math 441, Real Analysis
Math 443, Ordinary Differential Equations
Math 444, Partial Differential Equations
Math 451, Probability
Math 453, Analytic Number Theory
Math 470, Combinatorics
May 2004
Math 401, Abstract Algebra I
Math 402, Abstract Algebra II
Math 405, Algebraic Number Theory
Math 423, Differential Geometry
Math 430, Topology
Math 440, Complex Analysis
Math 441, Real Analysis
Math 443, Ordinary Differential Equations
Math 444, Partial Differential Equations
Math 451, Probability
Math 453, Analytic Number Theory
August 2004
Math 401, Abstract Algebra I
Math 402, Abstract Algebra II
Math 405, Algebraic Number Theory
Math 410, Logic
Math 423, Differential Geometry
Math 430, Topology
Math 440, Complex Analysis
Math 441, Real Analysis
Math 443, Ordinary Differential Equations
Math 444, Partial Differential Equations
Math 451, Probability
Math 453, Analytic Number Theory
Math 470, Combinatorics
January 2003
Math 401, Abstract Algebra I
Math 402, Abstract Algebra II
Math 405, Algebraic Number Theory
Math 410, Logic
Math 423, Differential Geometry
Math 430, Topology
Math 440, Complex Analysis
Math 441, Real Analysis
Math 443, Ordinary Differential Equations
Math 444, Partial Differential Equations
Math 451, Probability
Math 453, Analytic Number Theory
Math 470, Combinatorics
May 2003
Math 348, Complex Variables
Math 401, Abstract Algebra I
Math 402, Abstract Algebra II
Math 405, Algebraic Number Theory
Math 410, Logic
Math 423, Geometry
Math 430, Topology
Math 440, Complex Analysis
Math 441, Real Analysis
Math 443, Ordinary Differential Equations
Math 444, Partial Differential Equations
Math 451, Probability
Math 453, Analytic Number Theory
August 2003
Math 401, Abstract Algebra I
Math 402, Abstract Algebra II
Math 405, Algebraic Number Theory
Math 410, Logic
Math 430, Topology
Math 440, Complex Analysis
Math 441, Real Analysis
Math 443, Ordinary Differential Equations
Math 451, Probability
Math 453, Analytic Number Theory
Math 470, Combinatorics


Study Guides from the years 1998-2002
 


Department of Mathematics
273 Altgeld Hall, MC-382
1409 W. Green Street, Urbana, IL 61801 USA
Telephone: (217) 333-3350    Fax: (217) 333-9576     Email: office@math.uiuc.edu