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Mathematics as a Second Major
The Department of Mathematical Sciences of the McMicken College of Arts and Sciences offers a major for UC students who are earning a degree in a college other than A & S. Essential to earning this second major is taking 63 hours in math in the Department of Mathematical Sciences, compliant with the requirements below. We encourage students to consult with a departmental advisor to tailor second major programs to educational goals.
Requirements
In the first years, a typical student takes core classes in Calculus and Linear Algebra, together with an introductory course in abstract mathematics. In later years, the student chooses one of four tracks: Applied Mathematics; Statistics; Pure Mathematics; and Secondary School Mathematics Teacher. Of course, there will always be a Fast Track for the exceptional student who can and will take more advanced courses; this is under the direction of a faculty advisor and the Undergraduate Affairs Committee.
All second majors take common core courses and then choose courses from one of four tracks for a total of 63 credits in Mathematics. Only courses with a grade of C - or better may be used toward the 63 credits, and a GPA of 2.0 or better must be maintained in all math courses. Credits from 100- and 200-level courses (except 251, 252, 253, 264 and 256 - 257) cannot be counted toward the 63 credits necessary for the second major. Also, credits from the following 300- and 400-level courses cannot be counted toward the 63 credits necessary for the major: Math 300, 301, 303, 305, 366, 377 and 410.The 63-credit requirement applies to all majors who enter UC in 06A or later. (Prior to 06A the requirement is 61 credits.)
Math 251, 252, 253, 264 Calculus I - IV 18 Math 256, 257 Calc Lab II, III 2 Math 351, 352 Linear Algebra I, II 6 Math 355 Intro to Ordinary Diff Equations 3 Math 357 Intro to Abstract Mathematics 3 Math 361, 362 Probability & Statistics I, II 6 Math 408, 409 Intro to Analysis I, II 6 Math 501 Senior Capstone 1 45 Total
* Note: Advanced Calculus I, II (504, 505) may be substituted for Intro to Analysis I, II (408, 409.) A student in the Statistics track may substitute Mathematical Statistics I, II, and III (521, 522, 523) for Intro to Analysis I, II (408,
409.)
Track Requirements
Additional credits at the 300-level or above to total 63.
Applied Mathemathics - Twelve (12) credits to be chosen from the following: Math 514, 515, 516 Numerical Analysis I, II, III 9 Math 517 Applied Math Practicum 3 Math 524, 525 Linear Programming I, II 6 Math 526 Non-linear Optimization 3 Math 540 Probabilistic Financial Modeling 3 Math 541, 542, 543 Computational Fin Math I, II, III 9 Math 553, 554 PDE and Fourier Analysis I, II 6 Math 555, 556 Applied Linear Algebra I, II 6 Math 560 Scientific Programming w/MatLab 3 Math 561 Numerical Methods in Appl Math 3 Math 577, 578 Appl Prob & Stochastic Proc I, II 6 Math 580 Math Using Mathematica 3 Math 583 Calculus of Variations 3
Additional credits at the 300-level or above to total 63.
Statistics Math 531 Applied Statistical Inference 3 Math 532 Applied Regression Analysis 3 Math 533 Analysis of Variance 3 Six (6) additional credits to be chosen from the following: Math 521, 522, 523 Math Statistics I, II, III 9 Math 534 SAS Programming 3 Math 535 Applied Stats Using S-Plus 3 Math 571 Time Series 3 Math 572 Reliability-Survival Analysis 3 Math 573 Applied Bayesian Analysis 3 Math 574 Non-parametric Statistics 3 Math 575 Robust Statistics 3 Math 576 Topics in Applied Statistics 3 Math 577, 578 Appl Prob & Stochastic Proc I, II 6
Additional credits at the 300-level or above to total 63.
Pure Mathematics Math 401, 402 Introduction to Algebra I, II 6 Nine (9) additional credits to be chosen from the following: Math 504, 505, 506 Advanced Calculus I, II, III 9 Math 511 Abstract Algebra I 3 Math 512, 513 Abstract Algebra II, III 6 Math 551 Number Theory 3 Math 579 Group Representation Theory 3 Math 584 Combinatorics 3 Math 588 Graph Theory 3
* Note: Abstract Algebra II, III (512, 513) may be substituted for Intro to Algebra I, II (401, 402). Abstract Algebra I (511) is NOT a pre-requisite for Abstract Algebra II, III (512, 513).
Secondary School Mathematics Teacher Math 401, 402 Introduction to Algebra I, II 6 Math 404 History of Mathematics 3 Math 406, 407 Intro to Geometry I, II 6 Additional credits at the 300-level or above to total 63.
* Note: Abstract Algebra II, III (512, 513) may be substituted for Introduction to Algebra I, II (401, 402.)
Comments
The Introduction to Abstract Mathematics (357) course serves as a transition to the more theoretical material found in the 400- and 500-level courses. The sophistication one gains in this course is necessary for most advanced math courses.
Majors are strongly urged to learn a scientific programming language, such as C++ or Java.
Majors are encouraged to acquire a broad background in the natural sciences. The Arts & Sciences Natural Science requirements should be satisfied with a sequence in Physics, Chemistry, or Biology.
Students who anticipate doing graduate work in Mathematics should satisfy the Arts & Sciences Foreign Language requirement with French, German, or Russian.
Advice
In order to obtain the necessary pre-requisites for upper-level math courses, it is important that the student make certain course selections during the first two years of study.
Here is a typical schedule of required courses for all Math majors:
Fall Winter Spring 1st year 251 252, 256 253, 257 2nd year 351 352 357 15 Math 263, 355, 361, and 362 should also be taken during the second year.
As students proceed through the first two years, they should spend time discussing their plans for a choice of track with a Faculty Advisor or a faculty member who is familiar with their interests.
Departmental Honors
Departmental Honors in Mathematics requires a 3.5 GPA in math courses and the completion of two sequences from the following list:
Math 504, 505, 506 Advanced Calculus Math 511, 512, 513 Abstract Algebra Math 514, 515, 516 Numerical Analysis Math 521, 522, 523 Mathematical Statistics Math 531, 532, 533 Applied Statistics
Departmental High Honors require a 3.75 GPA in math courses and the completion of three sequences from the above list. A 600-level sequence may be substituted for any 500-level sequence in this list. A 600-level sequence may ordinarily be substituted for any 500-level sequence on this list. The final decision concerning Honors rests with the Honors Committee of the Department of Mathematical Sciences.
Students who would like advice concerning a Major in Mathematics should see our Undergraduate Program Director:
Dr Tara L Smith
Rm: 811-B Old Chem Bldg
Ph:513.556.4048
For the awarding of the second major: After completing the appropriate courses, stop by the Math Dept Office, Rm 839 Old Chem, to fill out an application. This must be done before or as you graduate. Include your email address so we can contact you if there is a question concerning the courses you have taken.The fact that you have been awarded a second major degree in mathematics will be indicated on your transcript. No certificate will be provided. See Dr. Smith for certification after all your grades in second-major courses appear on your degree audit on the web.