http://www.math.miami.edu

The requirements of a major in mathematics vary according to the objectives of the student. There are seven courses required of all mathematics majors. An additional four courses  are required selected from one of six track options:

Core Courses and Track Options

Courses Required for All Mathematics Majors
MTH 161Calculus I4
or MTH 171 Calculus I
MTH 162Calculus II4
or MTH 172 Calculus II
MTH 210Introduction to Linear Algebra3
MTH 230Introduction to Abstract Mathematics3
MTH 310Multivariable Calculus3
MTH 461Survey Of Modern Algebra3
or MTH 561 Abstract Algebra I
MTH 433Advanced Calculus3
or MTH 533 Introduction to Real Analysis I
Track Options
Select four courses from one of the following Tracks:12
Core Mathematics Track:
Select four of the following:
Linear Algebra
Elementary Complex Analysis
Topology I
Topology II
Introduction to Real Analysis II
Introduction to Differential Geometry
Abstract Algebra II
Applied Analysis Track: 1
Introduction to Ordinary Differential Equations
Elementary Complex Analysis
Select one of the following:
Partial Differential Equations I
and Partial Differential Equations II
Ordinary Differential Equations
and Dynamics and Bifurcations
Computational Mathematics Track:
Introduction to Numerical Analysis
Data Structures And Algorithm Analysis
Numerical Linear Algebra
and Numerical Methods In Differential Equations
Probability and Statistics Track:
Introduction to Probability and Statistics
Introduction to Probability
and Introduction to Mathematical Statistics
Statistical Analysis
Secondary School Teaching Track: 2
Introduction to Probability and Statistics
Discrete Mathematics I
Select two of the following:
History of Mathematics
Foundations of Geometry
Theory of Numbers
Mathematical Economics Track:
Introduction to Probability
and Introduction to Mathematical Statistics
Advanced Microeconomic Theory
Select one of the following:
Mathematical Economics (II)
Econometrics
Graduate Macroeconomic Theory
Other Requirements 3
English Composition6
Second Language3-9
Arts & Humanities Cognate9
People & Society Cognate9
Electives 458
Total Credit Hours120-126
1

Course work in physics is desirable.

2

This option is only for those obtaining a teaching credential.

3

 In order to satisfy the College of Arts & Sciences writing requirement, writing credit must be obtained in exactly one of the following courses: MTH 433, MTH 461, MTH 502, MTH 504, MTH 520, MTH 533, MTH 561. Additionally, three other writing courses must be completed.

4

 Elective courses are to be taken to reach the minimum of 120 credits required for graduation. So, the number of credits needed from elective courses could be less than 58.

*

Notes

  • It would be useful for students planning to do graduate study in mathematics to complete the following courses:  MTH 531MTH 532MTH 533MTH 534MTH 561MTH 562.
  • Students interested in actuarial science should choose the Probability and Statistics option; for these students a finance minor is recommended.
  • Transfer students will be permitted to apply up to 14 transfer credit hours towards the major; however, the courses MTH 461 (or MTH 561) and MTH 433 (or MTH 533) must be completed at the University of Miami.
  • A grade of C- or better is required for each course applied toward the major; the overall quality point average for University of Miami courses applied toward the major must be 2.5 or above.

Requirements for Departmental Honors in Mathematics:

Select three of the following sequences18
MTH 513
MTH 514
Partial Differential Equations I
and Partial Differential Equations II
6
MTH 515
MTH 516
Ordinary Differential Equations
and Dynamics and Bifurcations
6
MTH 520
MTH 521
Numerical Linear Algebra
and Numerical Methods In Differential Equations
6
MTH 524
MTH 525
Introduction to Probability
and Introduction to Mathematical Statistics
6
MTH 531
MTH 532
Topology I
and Topology II
6
MTH 533
MTH 534
Introduction to Real Analysis I
and Introduction to Real Analysis II
6
MTH 561
MTH 562
Abstract Algebra I
and Abstract Algebra II
6
*

The student must attain at least a B in each course used to fulfill this requirement. In addition, the student must attain at least a 3.5 average over all courses counted toward the mathematics major and an overall  (university-wide)  average of at least 3.3.

Dual Major in Meteorology and Mathematics

A combined major in meteorology and mathematics is available. For specific information please see the Meteorology section of the bulletin.

Possible Plan of Study

  The B.A. and B.S. degrees in Mathematics differ only in the College of Arts and Sciences general education requirements. Here is a possible plan of study.

Plan of Study Grid
Year One
FallCredit Hours
MTH 161 Calculus I 4
ENG 105 English Composition I 3
Language course 3
Select one of the following 3
Natural Science
 
Elective
 
Select one of the following 3
Cognate
 
Elective
 
 Credit Hours16
Spring
MTH 162 Calculus II 4
MTH 210 Introduction to Linear Algebra 3
ENG 106 English Composition II 3
Language course 3
Select one of the followng 3
Natural Science
 
Cognate
 
Elective
 
 Credit Hours16
Year Two
Fall
MTH 230 or 310 Introduction to Abstract Mathematics
or Multivariable Calculus
3
Language course 3
Select one of the following 3
Natural Science
 
Cognate
 
Elective
 
Select one of the following 3
Cognate
 
Elective
 
Elective 3
 Credit Hours15
Spring
MTH 310 or 230 Multivariable Calculus
or Introduction to Abstract Mathematics
3
Select one of the following 3
Mathematics 200 0r 300- level track course
 
Cognate
 
Elective
 
Cognate 3
Electives 6
 Credit Hours15
Year Three
Fall
Select one of the following 3
Advanced Calculus  
Introduction to Real Analysis I  
Mathematics track course
 
Select one of the following 3
Abstract Algebra I  
Mathematics track course
 
Elective
 
Select one of the following 3
Mathematics track course
 
Elective
 
Cognate 3
Elective 3
 Credit Hours15
Spring
Select one of the following 3
Survey Of Modern Algebra  
Mathematics track course
 
Elective
 
Select one of the following 3
Mathematics track course
 
Elective
 
Select one of the following 3
Cognate
 
Elecitve
 
Electives 6
 Credit Hours15
Year Four
Fall
Select one of the following 3
Advanced Calculus  
Introduction to Real Analysis I  
Mathematics track course
 
Select one of the following 3
Abstract Algebra I  
Mathematics track course
 
Elective
 
Select one of the following 3
Mathematics track course
 
Elective
 
Select one of the following 3
Mathematics track course
 
Cognate
 
Elective
 
Elective 3
 Credit Hours15
Spring
Select one of the following 3
Survey Of Modern Algebra  
Mathematics track course
 
Elective
 
Select one of the following 3
Mathematics track course
 
Elective
 
Select one of the following 3
Cognate
 
Elective
 
Electives 6
 Credit Hours15
 Total Credit Hours122