DePaul University - Department of Mathematical Sciences
 

Pure Mathematics: Program of Study

The sample program shown below is provided as a guide in course selection; however, students are strongly encouraged to consult with a faculty advisor to plan their programs. Students considering graduate study in mathematics are advised to take both MAT 310-311-312 and MAT 335-336-337. Students interested in graduate study in economics or finance are encouraged to take MAT 351-352-353 and MAT 335-336.

Mathematics:

 One of the first-year calculus sequences:
MAT 150-1-2 Calculus I, II, III;
or MAT 160-1-2 Calculus for Mathematics and Science Majors I, II, III;
or MAT 147-8-9 Calculus with Integrated Precalculus I, II, III;
or MAT 170-1-2 ProMath Calculus for Mathematics and Science Majors I, II, III
(Prerequisite or corequisite for 150, 160, and 170: MAT 131 or placement by the Mathematics Diagnostic Test. Prerequisite for 147: MAT 130 or placement by the Mathematics Diagnostic Test.)

Note: The 160-1-2, 147-8-9, and 170-1-2 sequences are only offered beginning in the autumn quarter of each year. These sequences are highly recommended for students concentrating in mathematics.
  Either MAT 215 Introduction to Mathematical Reasoning (prerequisite: MAT 151 or 161 or 171 or 149)

or the combination of MAT 140 and 141 Discrete Mathematics I and II (prerequisite: MAT 130 or placement by the Mathematics Diagnostic Test)
  MAT 260-261 Multivariable Calculus I and II (prerequisite: MAT 152 or 162 or 172 or 149 or consent of instructor)

Note: MAT 260-261 is only offered in the autumn and winter quarters.
  MAT 262 Linear Algebra (prerequisite: MAT 260)

Note: MAT 262 is only offered in the spring quarter.
  Three courses chosen from: MAT 310-311 Abstract Algebra I and II MAT 335-336 Real Analysis I and II (prerequisite for MAT 310: either MAT 141 or 215 and either MAT 262 or 220 or 230; prerequisite for MAT 335: either 152 or 162 or 172 or 149 and either MAT 141 or 215)
  Three additional mathematics courses chosen from:

MAT 230 Theory of Numbers, MAT 240 Combinatorics, MAT 372 Logic and Set Theory (prerequisites for MAT 230, 240, and 372: MAT 141 or 215 or consent of instructor);

311-312 Abstract Algebra II and III (prerequisite: MAT 310);

MAT 336 Real Analysis II (prerequisite: MAT 335);

MAT 337 Complex Analysis (prerequisite: MAT 261 and either MAT 141 or 215);

MAT 370 Advanced Linear Algebra (prerequisite: MAT 262 or 220);

MAT 320-321 Geometry I and II (prerequisite: MAT 152 or 162 or 172 or 149 or consent of instructor);

MAT 340 Topology (prerequisite: either MAT 141 or 215 and either 220 or 262);

MAT 301 History of Mathematics (prerequisite: either MAT 151 or 161 or 171 or 149);

MAT 338 Differential Equations (prerequisite: MAT 261);

MAT 351-2-3 Probability and Statistics I, II, and III (prerequisite: MAT 261 or consent of instructor);

MAT 348 Applied Statistical Methods (prerequisite: either MAT 151 or 161 or 171 or 149);

MAT 385-386 Numerical Analysis (prerequisite: MAT 262 or 220 and either MAT 152 or 162 or 172 or 149, and a programming course)

Notes: MAT 301 will be offered in 2001-2002 and in alternate years thereafter. MAT 336-337 will be offered in 2001-2002 and in alternate years thereafter. MAT 320-321 will be offered in 2002-2003 and in alternate years thereafter.

Additional Notes


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