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The College of Liberal Arts and Sciences - Butler University

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Mathematics<br />

<strong>The</strong> mathematics major is designed for<br />

students who are interested in employment in<br />

government or industry, who plan to attend<br />

graduate or pr<strong>of</strong>essional school, or who plan<br />

to teach.<br />

Why Study Mathematics at <strong>Butler</strong>?<br />

• One <strong>of</strong> the few collegiate departments in<br />

the U.S. to adhere to the CUPM<br />

(Committee for Undergraduate Program<br />

in Mathematics) guidelines<br />

• Active student clubs in mathematics <strong>and</strong><br />

mathematics education<br />

• <strong>Butler</strong> Math Lab hires mathematics <strong>and</strong><br />

mathematics education majors to tutor<br />

students enrolled in lower-level <strong>and</strong> core<br />

mathematics classes<br />

Faculty:<br />

• Teach all courses, including introductory,<br />

without graduate assistants, resulting in<br />

personal attention <strong>and</strong> interaction with<br />

students<br />

• Wide range <strong>of</strong> specialties in the field <strong>of</strong><br />

mathematics<br />

• Student/pr<strong>of</strong>essor research sponsored by<br />

<strong>Butler</strong> Summer Institute (BSI)<br />

<strong>Butler</strong> <strong>University</strong> <strong>of</strong>fers degrees in:<br />

• <strong>The</strong>oretical mathematics<br />

• Mathematics education<br />

• Mathematics <strong>and</strong> engineering (dual degrees)<br />

with Purdue <strong>University</strong>-Indianapolis<br />

Degrees:<br />

• B.A. or B.S. in Mathematics<br />

• Minor in Mathematics<br />

Mathematics Program Student<br />

Learning Outcomes<br />

• Demonstrate an underst<strong>and</strong>ing <strong>of</strong><br />

mathematical arguments, <strong>and</strong> assess their<br />

validity.<br />

• Identify the fundamental concepts in<br />

the main areas <strong>of</strong> mathematics, including<br />

set theory, logic, calculus, discrete mathematics,<br />

linear <strong>and</strong> modern algebra, <strong>and</strong><br />

real analysis.<br />

• Construct mathematical pro<strong>of</strong>s using<br />

st<strong>and</strong>ard techniques such as induction,<br />

contradiction <strong>and</strong> contraposition.<br />

• Solve mathematical problems <strong>and</strong> perform<br />

calculations by applying abstraction <strong>and</strong><br />

mathematical models as appropriate.<br />

• Communicate mathematical ideas <strong>and</strong><br />

concepts to various audiences, including<br />

170 <strong>Butler</strong> <strong>University</strong><br />

being able to use mathematical word<br />

processing systems to write mathematics.<br />

• Demonstrate an underst<strong>and</strong>ing <strong>of</strong> various<br />

interconnections among the branches <strong>of</strong><br />

mathematics, the breadth <strong>and</strong> depth <strong>of</strong><br />

mathematics, <strong>and</strong> the beauty in mathematics.<br />

Requirements for the Major<br />

• MA106, 107, 208, Calculus <strong>and</strong> Analytic<br />

Geometry I, II, III<br />

• MA200, Basics <strong>of</strong> Advanced Mathematics<br />

• MA205, Discrete Mathematics<br />

• MA215, Linear Algebra<br />

• MA312, Modern Algebra I<br />

• MA326, Real Analysis I<br />

• MA330, Complex Analysis<br />

• MA490, Senior Seminar<br />

• Choose one <strong>of</strong> MA313, Modern Algebra II<br />

or MA327, Real Analysis II<br />

• Programming course numbered CS142 or<br />

higher<br />

• Three upper division electives to be chosen<br />

from MA301, MA305, courses numbered<br />

between MA310 <strong>and</strong> MA399, or numbered<br />

MA473<br />

Requirements for the Minor<br />

• MA106, 107, Calculus <strong>and</strong> Analytic<br />

Geometry I, II<br />

• MA205, Discrete Mathematics<br />

• Choose one <strong>of</strong> MA305, Graph <strong>The</strong>ory or<br />

MA208, Calculus <strong>and</strong> Analytic Geometry<br />

III<br />

• MA215, Linear Algebra<br />

• One additional upper division elective to<br />

be chosen from MA301, MA305, courses<br />

numbered between MA310 <strong>and</strong> MA399<br />

or MA473<br />

Actuarial Science<br />

An actuary is a mathematician responsible<br />

for estimating risks, primarily in the insurance<br />

<strong>and</strong> financial security industries. <strong>The</strong> <strong>Butler</strong><br />

program helps to prepare students for the<br />

jointly administered CAS/SOA Examinations<br />

P, FM, MLC, MFE <strong>and</strong> C.<br />

Why Study Actuarial Science at<br />

<strong>Butler</strong>?<br />

• One <strong>of</strong> only a few schools in Indiana to<br />

<strong>of</strong>fer a degree in actuarial science<br />

• Actuarial Science/Management program<br />

with both an actuarial science degree <strong>and</strong><br />

an MBA degree<br />

• Active student club in actuarial science

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