MATH0100AF14
CrossListed As:
INTD0100AF14
CRN: 92640

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:
 11:15am12:05pm on Monday, Wednesday, Friday (Sep 8, 2014 to Dec 5, 2014)
 Requirements Satisfied:
 DED

MATH0121AF14
CRN: 90145

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 8, 2014 to Dec 5, 2014)
8:00am8:50am on Monday, Wednesday, Friday at WNS 202 (Sep 8, 2014 to Dec 5, 2014)
 Requirements Satisfied:
 DED

MATH0121BF14
CRN: 90155

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:
 9:05am9:55am on Monday, Wednesday, Friday at WNS 202 (Sep 8, 2014 to Dec 5, 2014)
9:30am10:45am on Tuesday at WNS 202 (Sep 8, 2014 to Dec 5, 2014)
 Requirements Satisfied:
 DED

MATH0121CF14
CRN: 91847

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:
 Priscilla Bremser
 Location:
 Warner Hall 202
 Schedule:
 10:10am11:00am on Monday, Wednesday, Friday at WNS 202 (Sep 8, 2014 to Dec 5, 2014)
11:00am12:15pm on Tuesday at WNS 202 (Sep 8, 2014 to Dec 5, 2014)
 Requirements Satisfied:
 DED

MATH0122AF14
CRN: 90183

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:
 David Dorman
 Location:
 Warner Hall 202
 Schedule:
 8:00am9:15am on Thursday at WNS 202 (Sep 8, 2014 to Dec 5, 2014)
9:05am9:55am on Monday, Wednesday, Friday at WNS 208 (Sep 8, 2014 to Dec 5, 2014)
 Requirements Satisfied:
 DED

MATH0122BF14
CRN: 90193

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:
 David Dorman
 Location:
 Warner Hall 202
 Schedule:
 9:30am10:45am on Thursday at WNS 202 (Sep 8, 2014 to Dec 5, 2014)
10:10am11:00am on Monday, Wednesday, Friday at WNS 208 (Sep 8, 2014 to Dec 5, 2014)
 Requirements Satisfied:
 DED

MATH0122CF14
CRN: 90194

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:
 Michaela Kubacki
 Location:
 Warner Hall 202
 Schedule:
 11:00am12:15pm on Thursday at WNS 202 (Sep 8, 2014 to Dec 5, 2014)
11:15am12:05pm on Monday, Wednesday, Friday at WNS 208 (Sep 8, 2014 to Dec 5, 2014)
 Requirements Satisfied:
 DED

MATH0200AF14
CRN: 90197

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:
 Francis Swenton
 Location:
 Warner Hall 203
 Schedule:
 9:05am9:55am on Monday, Wednesday, Friday (Sep 8, 2014 to Dec 5, 2014)
 Requirements Satisfied:
 DED

MATH0200BF14
CRN: 90198

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:
 John Schmitt
 Location:
 Warner Hall 203
 Schedule:
 10:10am11:00am on Monday, Wednesday, Friday (Sep 8, 2014 to Dec 5, 2014)
 Requirements Satisfied:
 DED

MATH0200CF14
CRN: 91092

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:
 Francis Swenton
 Location:
 Warner Hall 203
 Schedule:
 11:15am12:05pm on Monday, Wednesday, Friday (Sep 8, 2014 to Dec 5, 2014)
 Requirements Satisfied:
 DED

MATH0223AF14
CRN: 90255

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 and MATH 0200 or by waiver) 3 hrs. lect./disc.
 Instructors:
 John Schmitt
 Location:
 Warner Hall 207
 Schedule:
 9:05am9:55am on Monday, Wednesday, Friday (Sep 8, 2014 to Dec 5, 2014)
 Requirements Satisfied:
 DED

MATH0225AF14
CRN: 91849

Topics in Linear Alg & Diff Eq
Topics in Linear Algebra and Differential Equations
Topics may include diagonalization of matrices, quadratic forms, inner product spaces, canonical forms, the spectral theorem, positive matrices, the CayleyHamilton theorem, ordinary differential equations of arbitrary order, systems of firstorder differential equations, power series, and eigenvalue methods of solution, applications. (MATH 0200 or by waiver) 3 hrs. lect./disc.
 Instructors:
 Michaela Kubacki
 Location:
 Warner Hall 207
 Schedule:
 1:45pm2:35pm on Monday, Wednesday, Friday (Sep 8, 2014 to Dec 5, 2014)
 Requirements Satisfied:
 DED

MATH0302AF14
CRN: 90256

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:
 Priscilla Bremser
 Location:
 Warner Hall 506
 Schedule:
 1:45pm2:35pm on Monday, Wednesday, Friday (Sep 8, 2014 to Dec 5, 2014)
 Requirements Satisfied:
 DED

MATH0310AF14
CRN: 92231

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:
 11:15am12:05pm on Monday, Wednesday, Friday (Sep 8, 2014 to Dec 5, 2014)
 Requirements Satisfied:
 DED

MATH0323AF14
CRN: 90257

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:
 10:10am11:00am on Monday, Wednesday, Friday (Sep 8, 2014 to Dec 5, 2014)
 Requirements Satisfied:
 DED

MATH0335AF14
CRN: 92230

Differential Geometry
Differential Geometry
This course will be an introduction to the concepts of differential geometry. For curves in space, we will discuss arclength parameterizations, Frenet formulas, curvature, and torsion. On surfaces, we will explore the Gauss map, the shape operator, and various types of curvature. We will apply our knowledge to understand geodesics, metrics, and isometries of general geometric spaces. If time permits, we will consider topics such as minimal surfaces, constant curvature spaces, and the GaussBonnet theorem. (MATH 0200 and MATH 0223) 3 hr. lect./disc.
 Instructors:
 Emily Proctor
 Location:
 Warner Hall 207
 Schedule:
 10:10am11:00am on Monday, Wednesday, Friday (Sep 8, 2014 to Dec 5, 2014)
 Requirements Satisfied:
 DED

MATH0500AF14
CRN: 90265

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 8, 2014 to Dec 5, 2014)

MATH0500BF14
CRN: 90679

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 8, 2014 to Dec 5, 2014)

MATH0500CF14
CRN: 90534

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:
 Priscilla Bremser
 Location:
 Main
 Schedule:
 7:00pm8:29pm on Sunday (Sep 8, 2014 to Dec 5, 2014)

MATH0500DF14
CRN: 90813

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 8, 2014 to Dec 5, 2014)

MATH0500EF14
CRN: 90814

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 8, 2014 to Dec 5, 2014)

MATH0500GF14
CRN: 90816

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 8, 2014 to Dec 5, 2014)

MATH0500HF14
CRN: 90817

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 8, 2014 to Dec 5, 2014)

MATH0500IF14
CRN: 90818

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 8, 2014 to Dec 5, 2014)

MATH0500KF14
CRN: 90979

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 8, 2014 to Dec 5, 2014)

MATH0500LF14
CRN: 90980

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 8, 2014 to Dec 5, 2014)

MATH0500MF14
CRN: 92700

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:
 Michaela Kubacki
 Location:
 Main
 Schedule:
 8:00am4:59pm on Sunday (Sep 8, 2014 to Dec 5, 2014)

MATH0704AF14
CRN: 90266

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:
 Peter Schumer
 Location:
 Warner Hall 202
 Schedule:
 3:00pm4:15pm on Tuesday, Thursday (Sep 8, 2014 to Dec 5, 2014)
 Requirements Satisfied:
 DED

MATH0710AF14
CRN: 92556

Advanced Probablility Seminar
Advanced Probability Seminar
This course is a tutorial in Probability Theory for students who have completed work in Probability and Real Analysis. Starting from elementary results about random walks, we will explore the fundamental mathematical ideas underlying measure theoretic probability, martingales, the Weiner process, and the ItÃ´ stochastic calculus. Working independently and in small groups, students will gain experience reading advanced sources and communicating their insights in expository writing and oral presentations. This course fulfills the capstone senior work requirement for the mathematics major. (MATH 0310, MATH 0323, and by approval). 3 hrs. sem.
 Instructors:
 William Peterson
 Location:
 Warner Hall 203
 Schedule:
 1:30pm2:45pm on Tuesday, Thursday (Sep 8, 2014 to Dec 5, 2014)
