MATH0100AF12
CrossListed As:
INTD0100AF12
CRN: 91498

A World of Mathematics
Please register via INTD 0100A
A World of Mathematics
How long will oil last? What is the fairest voting system? How can we harvest food and other resources sustainably? To explore such realworld questions we will study a variety of mathematical ideas and methods, including modeling, logical analysis, discrete dynamical systems, and elementary statistics. This is an alternative first mathematics course for students not pursuing the calculus sequence in their first semester. The only prerequisite is an interest in exploring contemporary issues using the mathematics that lies within those issues. (This course is not open to students who have had a prior course in calculus or statistics.) 3 hrs lect./disc.
 Instructors:
 Jeanne Albert
 Location:
 Warner Hall 207
 Schedule:
 11:00am12:15pm on Tuesday at WNS 207 (Sep 10, 2012 to Dec 7, 2012)
11:15am12:05pm on Monday, Wednesday, Friday at WNS 507 (Sep 10, 2012 to Dec 7, 2012)

MATH0116AF12
CRN: 91776

Intro to Statistical Science
Introduction to Statistical Science
A practical introduction to statistical methods and the examination of data sets. Computer software will play a central role in analyzing a variety of real data sets from the natural and social sciences. Topics include descriptive statistics, elementary distributions for data, hypothesis tests, confidence intervals, correlation, regression, contingency tables, and analysis of variance. The course has no formal mathematics prerequisite, and is especially suited to students in the physical, social, environmental, and life sciences who seek an applied orientation to data analysis. (Credit is not given for MATH 0116 if the student has taken ECON 0210 or PSYC 0201 previously or concurrently.) 3 hrs. lect./1 hr. computer lab.
 Instructors:
 John Emerson
 Location:
 Warner Hall 507
 Schedule:
 9:05am9:55am on Monday, Wednesday, Friday at WNS 507 (Sep 10, 2012 to Dec 7, 2012)
9:30am10:45am on Thursday at WNS 202 (Sep 10, 2012 to Dec 7, 2012)
 Requirements Satisfied:
 DED

MATH0121AF12
CRN: 90201

Calculus I
Calculus I
Introductory analytic geometry and calculus. Topics include limits, continuity, differential calculus of algebraic and trigonometric functions with applications to curve sketching, optimization problems and related rates, the indefinite and definite integral, area under a curve, and the fundamental theorem of calculus. Inverse functions and the logarithmic and exponential functions are also introduced along with applications to exponential growth and decay. 4 hrs. lect./disc.
 Instructors:
 Bruce Peterson
 Location:
 Warner Hall 202
 Schedule:
 8:00am9:15am on Tuesday at WNS 202 (Sep 10, 2012 to Dec 7, 2012)
8:00am8:50am on Monday, Wednesday, Friday at WNS 202 (Sep 10, 2012 to Dec 7, 2012)
 Requirements Satisfied:
 DED

MATH0121BF12
CRN: 90211

Calculus I
Calculus I
Introductory analytic geometry and calculus. Topics include limits, continuity, differential calculus of algebraic and trigonometric functions with applications to curve sketching, optimization problems and related rates, the indefinite and definite integral, area under a curve, and the fundamental theorem of calculus. Inverse functions and the logarithmic and exponential functions are also introduced along with applications to exponential growth and decay. 4 hrs. lect./disc.
 Instructors:
 Bruce Peterson
 Location:
 Warner Hall 207
 Schedule:
 9:05am9:55am on Monday, Wednesday, Friday at WNS 207 (Sep 10, 2012 to Dec 7, 2012)
9:30am10:45am on Tuesday at WNS 202 (Sep 10, 2012 to Dec 7, 2012)
 Requirements Satisfied:
 DED

MATH0121DF12
CRN: 92782

Calculus I
Calculus I
Introductory analytic geometry and calculus. Topics include limits, continuity, differential calculus of algebraic and trigonometric functions with applications to curve sketching, optimization problems and related rates, the indefinite and definite integral, area under a curve, and the fundamental theorem of calculus. Inverse functions and the logarithmic and exponential functions are also introduced along with applications to exponential growth and decay. 4 hrs. lect./disc.
 Instructors:
 William Peterson
 Location:
 Warner Hall 203
 Schedule:
 11:00am12:15pm on Tuesday at WNS 203 (Sep 10, 2012 to Dec 7, 2012)
11:15am12:05pm on Monday, Wednesday, Friday at WNS 203 (Sep 10, 2012 to Dec 7, 2012)
 Requirements Satisfied:
 DED

MATH0122AF12
CRN: 90242

Calculus II
Calculus II
A continuation of MATH 0121, may be elected by firstyear students who have had an introduction to analytic geometry and calculus in secondary school. Topics include a brief review of natural logarithm and exponential functions, calculus of the elementary transcendental functions, techniques of integration, improper integrals, applications of integrals including problems of finding volumes, infinite series and Taylor's theorem, polar coordinates, ordinary differential equations. (MATH 0121 or by waiver) 4 hrs. lect./disc.
 Instructors:
 John Emerson
 Location:
 Warner Hall 203
 Schedule:
 8:00am9:15am on Thursday at WNS 203 (Sep 10, 2012 to Dec 7, 2012)
8:00am8:50am on Monday, Wednesday, Friday at WNS 203 (Sep 10, 2012 to Dec 7, 2012)
 Requirements Satisfied:
 DED

MATH0122BF12
CRN: 90254

Calculus II
Calculus II
A continuation of MATH 0121, may be elected by firstyear students who have had an introduction to analytic geometry and calculus in secondary school. Topics include a brief review of natural logarithm and exponential functions, calculus of the elementary transcendental functions, techniques of integration, improper integrals, applications of integrals including problems of finding volumes, infinite series and Taylor's theorem, polar coordinates, ordinary differential equations. (MATH 0121 or by waiver) 4 hrs. lect./disc.
 Instructors:
 Michael Olinick
 Location:
 Warner Hall 203
 Schedule:
 9:05am9:55am on Monday, Wednesday, Friday at WNS 203 (Sep 10, 2012 to Dec 7, 2012)
9:30am10:45am on Thursday at WNS 203 (Sep 10, 2012 to Dec 7, 2012)
 Requirements Satisfied:
 DED

MATH0122CF12
CRN: 90255

Calculus II
Calculus II
A continuation of MATH 0121, may be elected by firstyear students who have had an introduction to analytic geometry and calculus in secondary school. Topics include a brief review of natural logarithm and exponential functions, calculus of the elementary transcendental functions, techniques of integration, improper integrals, applications of integrals including problems of finding volumes, infinite series and Taylor's theorem, polar coordinates, ordinary differential equations. (MATH 0121 or by waiver) 4 hrs. lect./disc.
 Instructors:
 Michael Olinick
 Location:
 Warner Hall 203
 Schedule:
 10:10am11:00am on Monday, Wednesday, Friday at WNS 203 (Sep 10, 2012 to Dec 7, 2012)
11:00am12:15pm on Thursday at WNS 203 (Sep 10, 2012 to Dec 7, 2012)
 Requirements Satisfied:
 DED

MATH0200AF12
CRN: 90258

Linear Algebra
Linear Algebra
Matrices and systems of linear equations, the Euclidean space of three dimensions and other real vector spaces, independence and dimensions, scalar products and orthogonality, linear transformations and matrix representations, eigenvalues and similarity, determinants, the inverse of a matrix and Cramer's rule. (MATH 0121 or by waiver) 3 hrs. lect./disc.
 Instructors:
 Stephen Abbott
 Location:
 Warner Hall 202
 Schedule:
 9:05am9:55am on Monday, Wednesday, Friday (Sep 10, 2012 to Dec 7, 2012)
 Requirements Satisfied:
 DED

MATH0200BF12
CRN: 90259

Linear Algebra
Linear Algebra
Matrices and systems of linear equations, the Euclidean space of three dimensions and other real vector spaces, independence and dimensions, scalar products and orthogonality, linear transformations and matrix representations, eigenvalues and similarity, determinants, the inverse of a matrix and Cramer's rule. (MATH 0121 or by waiver) 3 hrs. lect./disc.
 Instructors:
 David Dorman
 Location:
 Warner Hall 207
 Schedule:
 10:10am11:00am on Monday, Wednesday, Friday (Sep 10, 2012 to Dec 7, 2012)
 Requirements Satisfied:
 DED

MATH0200CF12
CRN: 91256

Linear Algebra
Linear Algebra
Matrices and systems of linear equations, the Euclidean space of three dimensions and other real vector spaces, independence and dimensions, scalar products and orthogonality, linear transformations and matrix representations, eigenvalues and similarity, determinants, the inverse of a matrix and Cramer's rule. (MATH 0121 or by waiver) 3 hrs. lect./disc.
 Instructors:
 Michael Olinick
 Location:
 Warner Hall 208
 Schedule:
 11:15am12:05pm on Monday, Wednesday, Friday (Sep 10, 2012 to Dec 7, 2012)
 Requirements Satisfied:
 DED

MATH0223AF12
CRN: 90322

Multivariable Calculus
Multivariable Calculus
The calculus of functions of more than one variable. Introductory vector analysis, analytic geometry of three dimensions, partial differentiation, multiple integration, line integrals, elementary vector field theory, and applications. (MATH 0122 or MATH 0200 or by waiver) 3 hrs. lect./disc.
 Instructors:
 John Schmitt
 Location:
 Warner Hall 202
 Schedule:
 11:15am12:05pm on Monday, Wednesday, Friday (Sep 10, 2012 to Dec 7, 2012)
 Requirements Satisfied:
 DED

MATH0241AF12
CRN: 91567

Elementary Number Theory
Elementary Number Theory
Divisibility and prime factorization. Congruences; the theorems of Lagrange, Fermat, Wilson, and Euler; residue theory; quadratic reciprocity. Diophantine equations. Arithmetic functions and Mobius inversion. Representation as a sum of squares. (MATH 0122 or by waiver)
 Instructors:
 Peter Schumer
 Location:
 Warner Hall 207
 Schedule:
 11:15am12:05pm on Monday, Wednesday, Friday (Sep 10, 2012 to Dec 7, 2012)
 Requirements Satisfied:
 DED

MATH0302AF12
CRN: 90323

Abstract Algebra I
Abstract Algebra
Groups, subgroups, Lagrange's theorem, homomorphisms, normal subgroups and quotient groups, rings and ideals, integral domains and fields, the field of quotients of a domain, the ring of polynomials over a domain, Euclidean domains, principal ideal domains, unique factorization, factorization in a polynomial ring. (MATH 0200 or by waiver) 3 hrs. lect./disc.
 Instructors:
 David Dorman
 Location:
 Warner Hall 506
 Schedule:
 9:05am9:55am on Monday, Wednesday, Friday (Sep 10, 2012 to Dec 7, 2012)
 Requirements Satisfied:
 DED

MATH0310AF12
CRN: 90324

Probability
Probability
An introduction to the concepts of probability and their applications, covering both discrete and continuous random variables. Probability spaces, elementary combinatorial analysis, densities and distributions, conditional probabilities, independence, expectation, variance, weak law of large numbers, central limit theorem, and numerous applications. (concurrent or prior MATH 0223 or by waiver) 3 hrs. lect./disc.
 Instructors:
 William Peterson
 Location:
 Warner Hall 202
 Schedule:
 10:10am11:00am on Monday, Wednesday, Friday (Sep 10, 2012 to Dec 7, 2012)
 Requirements Satisfied:
 DED

MATH0323AF12
CRN: 90325

Real Analysis
Real Analysis
An axiomatic treatment of the topology of the real line, real analysis, and calculus. Topics include neighborhoods, compactness, limits, continuity, differentiation, Riemann integration, and uniform convergence. (MATH 0223) 3 hrs. lect./disc.
 Instructors:
 Stephen Abbott
 Location:
 Warner Hall 506
 Schedule:
 11:15am12:05pm on Monday, Wednesday, Friday (Sep 10, 2012 to Dec 7, 2012)
 Requirements Satisfied:
 DED

MATH0345AF12
CRN: 92783

Combinatorics
Combinatorics
Combinatorics is the “art of counting.” Given a finite set of objects and a set of rules placed upon these objects, we will ask two questions. Does there exist an arrangement of the objects satisfying the rules? If so, how many are there? These are the questions of existence and enumeration. As such, we will study the following combinatorial objects and counting techniques: permutations, combinations, the generalized pigeonhole principle, binomial coefficients, the principle of inclusionexclusion, recurrence relations, and some basic combinatorial designs. (MATH 0200 or by waiver) 3 hrs. lect./disc.
 Instructors:
 John Schmitt
 Location:
 Warner Hall 506
 Schedule:
 10:10am11:00am on Monday, Wednesday, Friday (Sep 10, 2012 to Dec 7, 2012)
 Requirements Satisfied:
 DED

MATH0500AF12
CRN: 90336

Advanced Study
Advanced Study
Individual study for qualified students in more advanced topics in algebra, number theory, real or complex analysis, topology. Particularly suited for those who enter with advanced standing. (Approval required) 3 hrs. lect./disc.
 Location:
 Main
 Schedule:
 7:00pm8:29pm on Sunday (Sep 10, 2012 to Dec 7, 2012)

MATH0500BF12
CRN: 90788

Advanced Study
Advanced Study
Individual study for qualified students in more advanced topics in algebra, number theory, real or complex analysis, topology. Particularly suited for those who enter with advanced standing. (Approval required) 3 hrs. lect./disc.
 Instructors:
 Stephen Abbott
 Location:
 Main
 Schedule:
 7:00pm8:29pm on Sunday (Sep 10, 2012 to Dec 7, 2012)

MATH0500DF12
CRN: 90933

Advanced Study
Advanced Study
Individual study for qualified students in more advanced topics in algebra, number theory, real or complex analysis, topology. Particularly suited for those who enter with advanced standing. (Approval required) 3 hrs. lect./disc.
 Instructors:
 David Dorman
 Location:
 Main
 Schedule:
 7:00pm8:29pm on Sunday (Sep 10, 2012 to Dec 7, 2012)

MATH0500EF12
CRN: 90934

Advanced Study
Advanced Study
Individual study for qualified students in more advanced topics in algebra, number theory, real or complex analysis, topology. Particularly suited for those who enter with advanced standing. (Approval required) 3 hrs. lect./disc.
 Instructors:
 John Emerson
 Location:
 Main
 Schedule:
 7:00pm8:29pm on Sunday (Sep 10, 2012 to Dec 7, 2012)

MATH0500FF12
CRN: 90935

Advanced Study
Advanced Study
Individual study for qualified students in more advanced topics in algebra, number theory, real or complex analysis, topology. Particularly suited for those who enter with advanced standing. (Approval required) 3 hrs. lect./disc.
 Instructors:
 Janine Clookey
 Location:
 Main
 Schedule:
 7:00pm8:29pm on Sunday (Sep 10, 2012 to Dec 7, 2012)

MATH0500GF12
CRN: 90936

Advanced Study
Advanced Study
Individual study for qualified students in more advanced topics in algebra, number theory, real or complex analysis, topology. Particularly suited for those who enter with advanced standing. (Approval required) 3 hrs. lect./disc.
 Instructors:
 William Peterson
 Location:
 Main
 Schedule:
 7:00pm8:29pm on Sunday (Sep 10, 2012 to Dec 7, 2012)

MATH0500HF12
CRN: 90937

Advanced Study
Advanced Study
Individual study for qualified students in more advanced topics in algebra, number theory, real or complex analysis, topology. Particularly suited for those who enter with advanced standing. (Approval required) 3 hrs. lect./disc.
 Instructors:
 John Schmitt
 Location:
 Main
 Schedule:
 7:00pm8:29pm on Sunday (Sep 10, 2012 to Dec 7, 2012)

MATH0500IF12
CRN: 90938

Advanced Study
Advanced Study
Individual study for qualified students in more advanced topics in algebra, number theory, real or complex analysis, topology. Particularly suited for those who enter with advanced standing. (Approval required) 3 hrs. lect./disc.
 Instructors:
 Emily Proctor
 Location:
 Main
 Schedule:
 7:00pm8:29pm on Sunday (Sep 10, 2012 to Dec 7, 2012)

MATH0500JF12
CRN: 91104

Advanced Study
Advanced Study
Individual study for qualified students in more advanced topics in algebra, number theory, real or complex analysis, topology. Particularly suited for those who enter with advanced standing. (Approval required) 3 hrs. lect./disc.
 Instructors:
 Michael Olinick
 Location:
 Main
 Schedule:
 7:00pm8:29pm on Sunday (Sep 10, 2012 to Dec 7, 2012)

MATH0500KF12
CRN: 91105

Advanced Study
Advanced Study
Individual study for qualified students in more advanced topics in algebra, number theory, real or complex analysis, topology. Particularly suited for those who enter with advanced standing. (Approval required) 3 hrs. lect./disc.
 Instructors:
 Peter Schumer
 Location:
 Main
 Schedule:
 7:00pm8:29pm on Sunday (Sep 10, 2012 to Dec 7, 2012)

MATH0500LF12
CRN: 91106

Advanced Study
Advanced Study
Individual study for qualified students in more advanced topics in algebra, number theory, real or complex analysis, topology. Particularly suited for those who enter with advanced standing. (Approval required) 3 hrs. lect./disc.
 Instructors:
 Francis Swenton
 Location:
 Main
 Schedule:
 7:00pm8:29pm on Sunday (Sep 10, 2012 to Dec 7, 2012)

MATH0704AF12
CRN: 90337

Senior Seminar
Senior Seminar
Each student will explore in depth a topic in pure or applied mathematics, under oneonone supervision by a faculty advisor. The course culminates with a major written paper and presentation. This experience emphasizes independent study, library research, expository writing, and oral presentation. The goal is to demonstrate the ability to internalize and organize a substantial piece of mathematics. Class meetings include attendance at a series of lectures designed to introduce and integrate ideas of mathematics not covered in the previous three years. Registration is by permission: Each student must have identified a topic, an advisor, and at least one principal reference source. 3 hrs. lect./disc.
 Instructors:
 Francis Swenton
 Location:
 Warner Hall 208
 Schedule:
 3:00pm4:15pm on Tuesday, Thursday (Sep 10, 2012 to Dec 7, 2012)
 Requirements Satisfied:
 DED
