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Bachelor of Science in Mathematics, Pure Mathematics Concentration

Sample program of study

The table below shows just one of many possible ways of satisfying degree requirements. However, course scheduling and degree requirements change periodically. Thus, students enrolled in this degree program should expect to modify this table in consultation with their faculty advisor.

Fall Quarter, Freshman Year
Calculus I [MTH 229] 5
Computer Programming I [CS 141] 4
Freshman Composition [ENG 101] 1 4
Western World: Ancient and Medieval Eras [HST 101] 1 3
Total credit hours ... 16
Winter Quarter, Freshman Year
Calculus II [MTH 230] 5
Computer Programming II [CS 142] 4
Freshman Composition [ENG 102] 1 4
Western World in Transition: 14th-18th Centuries [HST 102] 1 3
Total credit hours ... 16
Spring Quarter, Freshman Year
Calculus III [MTH 231] 5
Great Books of the Western World [ENG 204, PHL 204, or REL 204] 1 3
Psychology: the Science of Behavior [PSY 105] 1 4
Modern Western World: 19th-20th Centuries [HST 103] 1 3
Total credit hours ... 15
Fall Quarter, Sophomore Year
Calculus IV [MTH 232] 5
General Physics/General Physics Lab [PHY 240/200] 5
Fine and Performing Arts in Western Culture [ART 214, MUS 214, or TH 214] 1 3
Social Institutions and Processes: Social Life [SOC 200] 1 3
Total credit hours ... 16
Winter Quarter, Sophomore Year
Differential Equations [MTH 233] 5
General Physics/General Physics Lab [PHY 242/202] 5
Non-Western World -- Comparative Studies (select one of five available courses) 1 3
Social Institutions and Processes: Political Life [PLS 200] 1 3
Total credit hours ... 16
Spring Quarter, Sophomore Year
Linear Algebra [MTH 255] 3
General Physics/General Physics Lab [PHY 244/204] 6
Non-Western World -- Regional Studies (select one of five available courses) 1 3
Social Institutions and Processes: Economic Life [EC 200] 1 3
Total credit hours ... 15
Fall Quarter, Junior Year
Advanced Linear Algebra [MTH 355] 3
Introduction to Mathematical Proof [MTH 280] 3
Mathematics elective 3
Electives 6
Total credit hours ... 15
Winter Quarter, Junior Year
Introduction to Modern Algebra I [MTH 451] 3
Mathematics electives 6
Electives 6
Total credit hours ... 15
Spring Quarter, Junior Year
Introduction to Modern Algebra II [MTH 452] 3
Mathematics elective 3
Electives 9
Total credit hours ... 15
Fall Quarter, Senior Year
Real Variables I [MTH 431] 3
Mathematics elective 3
Electives 9
Total credit hours ... 15
Winter Quarter, Senior Year
Real Variables II [MTH 432] 3
Mathematics elective 3
Electives 8
Total credit hours ... 14
Spring Quarter, Senior Year
Real Variables III [MTH 433] 3
Undergraduate Mathematics Seminar [MTH 492] 3
Mathematics elective 3
Electives 6
Total credit hours ... 15
Grand Total: 183 Credit Hours
1 This is a "General Education" course, required of all undergraduates. In a few cases, alternatives are available.

 

Undergraduate Programs in Mathematics and Statistics including syllabi


Undergraduate Math/Stat Advisors

Phan Loi
Associate Professor [email]
(937) 775-3829
105 MM

  Ph.D. 1988 Penn State University
Research field: Operator algebras

K.T. Arasu
Professor [email]
(937) 775-3828
230 MM

  Ph.D. 1983 Ohio State University
Research field: Combinatorics

Calculus Instruction


An Overview

The Pure Mathematics Concentration is Wright State University's standard college mathematics program. It should be selected by students who wish to study mathematics per se, rather than statistics, computing, or applications of mathematics. It is also the program of choice for those who intend to pursue mathematics (or closely related disciplines) at the graduate level. Students who wish to prepare for entry into the job market can do so in this program by wisely choosing the many electives.

Modern mathematics has several major branches. The three most commonly studied by undergraduate mathematics majors are algebra, geometry and topology, and analysis. Well-prepared freshmen will have sampled parts of the first two of these in high school algebra, geometry, and trigonometry. In college, mathematics majors encounter the beginning topic in the third branch, analysis, in their calculus classes.

The core courses in the Pure Mathematics Concentration for the junior and senior years are two year-long sequences in algebra and analysis. Several characteristics distinguish these and other advanced courses from more elementary ones. Generally speaking, computation becomes less important and logical reasoning becomes more important. Ideas and objects (e.g., number, set, function, matrix) are discussed in a deeper, more precise way. Careful justification, in the form of deductive proof, is given for the facts, or theorems, which are presented. The reliance upon deductive proof as the basis of truth and the tendency toward abstraction are two fundamental characteristics of present-day mathematics. Students in the Pure Mathematics Concentration will be thoroughly exposed to both during their junior and senior years.

 

 

 
last modified: June 6, 2003 (sjm)

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