MATH0109AS14
CrossListed As:
EDST0109AS14
CRN: 22342

Mathematics for Teachers
Mathematics for Teachers
What mathematical knowledge should elementary and secondary teachers have in the 21st century? Participants in this course will strengthen and deepen their own mathematical understanding in a studentcentered workshop setting. We will investigate the number system, operations, algebraic thinking, measurement, data, and functions, and consider the attributes of quantitative literacy. We will also study recent research that describes specialized mathematical content knowledge for teaching. (Not open to students who have taken MATH/EDST 1005. Students looking for a course in elementary school teaching methods should consider EDST 0315 instead.)
 Instructors:
 Priscilla Bremser
 Location:
 Warner Hall 507
 Schedule:
 10:10am11:00am on Monday, Wednesday, Friday (Feb 10, 2014 to May 12, 2014)
 Requirements Satisfied:
 DED

MATH0121AS14
CRN: 20066

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:
 8:00am9:15am on Tuesday at WNS 202 (Feb 10, 2014 to May 12, 2014)
8:00am8:50am on Monday, Wednesday, Friday at WNS 202 (Feb 10, 2014 to May 12, 2014)
 Requirements Satisfied:
 DED

MATH0121BS14
CRN: 20071

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:
 Peter Schumer
 Location:
 Warner Hall 202
 Schedule:
 9:30am10:45am on Tuesday at WNS 202 (Feb 10, 2014 to May 12, 2014)
10:10am11:00am on Monday, Wednesday, Friday at WNS 202 (Feb 10, 2014 to May 12, 2014)
 Requirements Satisfied:
 DED

MATH0121CS14
CRN: 21361

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:
 11:00am12:15pm on Tuesday at WNS 202 (Feb 10, 2014 to May 12, 2014)
11:15am12:05pm on Monday, Wednesday, Friday at WNS 202 (Feb 10, 2014 to May 12, 2014)
 Requirements Satisfied:
 DED

MATH0121DS14
CRN: 22544

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 208
 Schedule:
 8:00am9:15am on Tuesday at WNS 208 (Feb 10, 2014 to May 12, 2014)
8:00am8:50am on Monday, Wednesday, Friday at WNS 208 (Feb 10, 2014 to May 12, 2014)
 Requirements Satisfied:
 DED

MATH0122AS14
CRN: 21911

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:
 William Peterson
 Location:
 Warner Hall 203
 Schedule:
 9:05am9:55am on Monday, Wednesday, Friday at WNS 203 (Feb 10, 2014 to May 12, 2014)
9:30am10:45am on Thursday at WNS 202 (Feb 10, 2014 to May 12, 2014)
 Requirements Satisfied:
 DED

MATH0122BS14
CRN: 20098

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:
 Daniel Velleman
 Location:
 Warner Hall 203
 Schedule:
 10:10am11:00am on Monday, Wednesday, Friday at WNS 203 (Feb 10, 2014 to May 12, 2014)
11:00am12:15pm on Thursday at WNS 202 (Feb 10, 2014 to May 12, 2014)
 Requirements Satisfied:
 DED

MATH0190AS14
CRN: 22371

Math Proof: Art and Argument
Mathematical Proof: Art and Argument
Mathematical proof is the language of mathematics. As preparation for upperlevel coursework, this course will give students an opportunity to build a strong foundation in reading, writing, and analyzing mathematical argument. Course topics will include an introduction to mathematical logic, standard proof structures and methods, set theory, and elementary number theory. Additional topics will preview ideas and methods from more advanced courses. We will also explore important historical examples of proofs, both ancient and modern. The driving force behind this course will be mathematical expression with a primary focus on argumentation and the creative process. (MATH 0122 or MATH 0200) 3 hrs. lect.
 Instructors:
 Jeanne Albert
 Location:
 Warner Hall 203
 Schedule:
 11:00am12:15pm on Tuesday, Thursday (Feb 10, 2014 to May 12, 2014)
 Requirements Satisfied:
 CW, DED

MATH0200AS14
CRN: 20732

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 208
 Schedule:
 10:10am11:00am on Monday, Wednesday, Friday (Feb 10, 2014 to May 12, 2014)
 Requirements Satisfied:
 DED

MATH0200BS14
CRN: 21912

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 208
 Schedule:
 11:15am12:05pm on Monday, Wednesday, Friday (Feb 10, 2014 to May 12, 2014)
 Requirements Satisfied:
 DED

MATH0200CS14
CRN: 20099

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:
 McCardell Bicentennial Hall 303
 Schedule:
 10:10am11:00am on Monday, Wednesday, Friday (Feb 10, 2014 to May 12, 2014)
 Requirements Satisfied:
 DED

MATH0223AS14
CRN: 20404

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:
 Emily Proctor
 Location:
 Warner Hall 207
 Schedule:
 9:05am9:55am on Monday, Wednesday, Friday (Feb 10, 2014 to May 12, 2014)
 Requirements Satisfied:
 DED

MATH0223BS14
CRN: 20733

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:
 Emily Proctor
 Location:
 Warner Hall 207
 Schedule:
 10:10am11:00am on Monday, Wednesday, Friday (Feb 10, 2014 to May 12, 2014)
 Requirements Satisfied:
 DED

MATH0247AS14
CRN: 22181

Graph Theory
Graph Theory
A graph (or network) is a useful mathematical model when studying a set of discrete objects and the relationships among them. We often represent an object with a vertex (node) and a relation between a pair with an edge (line). With the graph in hand, we then ask questions, such as: Is it connected? Can one traverse each edge precisely once and return to a starting vertex? For a fixed k/, is it possible to “color” the vertices using /k colors so that no two vertices that share an edge receive the same color? More formally, we study the following topics: trees, distance, degree sequences, matchings, connectivity, coloring, and planarity. Proof writing is emphasized. (MATH 0122 or by waiver) 3 hrs. lect./disc.
 Instructors:
 John Schmitt
 Location:
 Warner Hall 208
 Schedule:
 1:45pm2:35pm on Monday, Wednesday, Friday (Feb 10, 2014 to May 12, 2014)
 Requirements Satisfied:
 DED

MATH0261AS14
CRN: 22182

History of Mathematics
History of Mathematics
This course studies the history of mathematics chronologically beginning with its ancient origins in Babylonian arithmetic and Egyptian geometry. The works of Euclid, Apollonius, and Archimedes and the development of ancient Greek deductive mathematics is covered. The mathematics from China, India, and the Arab world is analyzed and compared. Special emphasis is given to the role of mathematics in the growth and development of science, especially astronomy. European mathematics from the Renaissance through the 19th Century is studied in detail including the development of analytic geometry, calculus, probability, number theory, and modern algebra and analysis. (MATH 0122 or waiver)
 Instructors:
 Peter Schumer
 Location:
 Warner Hall 202
 Schedule:
 9:05am9:55am on Monday, Wednesday, Friday (Feb 10, 2014 to May 12, 2014)
 Requirements Satisfied:
 CMP, DED

MATH0308AS14
CRN: 22473

Mathematical Logic
Mathematical Logic
Mathematicians confirm their answers to mathematical questions by writing proofs. But what, exactly, is a proof? This course begins with a precise definition specifying what counts as a mathematical proof. This definition makes it possible to carry out a mathematical study of what can be accomplished by means of deductive reasoning and, perhaps more interestingly, what cannot be accomplished. Topics will include the propositional and predicate calculi, completeness, compactness, and decidability. At the end of the course we will study Gödel’s famous Incompleteness Theorem, which shows that there are statements about the positive integers that are true but impossible to prove. 3 hrs. lect. DED (D. Velleman)
 Instructors:
 Daniel Velleman
 Location:
 Warner Hall 202
 Schedule:
 1:45pm2:35pm on Monday, Wednesday, Friday (Feb 10, 2014 to May 12, 2014)
 Requirements Satisfied:
 DED

MATH0310AS14
CRN: 22183

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 203
 Schedule:
 11:15am12:05pm on Monday, Wednesday, Friday (Feb 10, 2014 to May 12, 2014)
 Requirements Satisfied:
 DED

MATH0323AS14
CRN: 22184

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 (Feb 10, 2014 to May 12, 2014)
 Requirements Satisfied:
 DED

MATH0402AS14
CRN: 22185

Topics In Algebra
Topics in Algebra
A further study of topics from MATH 0302. These may include field theory, algebraic extension fields, Galois theory, solvability of polynomial equations by radicals, finite fields, elementary algebraic number theory, solution of the classic geometric construction problems, or the classical groups. (MATH 0302 or by waiver) 3 hrs. lect./disc.
 Instructors:
 Emily Proctor
 Location:
 Warner Hall 507
 Schedule:
 11:15am12:05pm on Monday, Wednesday, Friday (Feb 10, 2014 to May 12, 2014)
 Requirements Satisfied:
 DED

MATH0432AS14
CrossListed As:
MATH0432BS14
CRN: 22186

Elementary Topology
Elementary Topology
An introduction to the concepts of topology. Theory of sets, general topological spaces, topology of the real line, continuous functions and homomorphisms, compactness, connectedness, metric spaces, selected topics from the topology of Euclidean spaces including the Jordan curve theorem. (MATH 0122 or by waiver) 3 hrs. lect./disc.
 Instructors:
 Michael Olinick
 Location:
 Warner Hall 207
 Schedule:
 9:30am10:45am on Tuesday, Thursday (Feb 10, 2014 to May 12, 2014)
 Requirements Satisfied:
 DED

MATH0432BS14
CrossListed As:
MATH0432AS14
CRN: 22483

Elementary Topology
Elementary Topology
An introduction to the concepts of topology. Theory of sets, general topological spaces, topology of the real line, continuous functions and homomorphisms, compactness, connectedness, metric spaces, selected topics from the topology of Euclidean spaces including the Jordan curve theorem. (MATH 0122 or by waiver) 3 hrs. lect./disc.
 Instructors:
 Michael Olinick
 Location:
 Warner Hall 207
 Schedule:
 9:30am10:45am on Tuesday, Thursday (Feb 10, 2014 to May 12, 2014)
 Requirements Satisfied:
 CW, DED

MATH0500AS14
CRN: 20445

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 (Feb 10, 2014 to May 12, 2014)

MATH0500BS14
CRN: 20145

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 (Feb 10, 2014 to May 12, 2014)

MATH0500CS14
CRN: 20433

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 (Feb 10, 2014 to May 12, 2014)

MATH0500FS14
CRN: 20436

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 (Feb 10, 2014 to May 12, 2014)

MATH0500GS14
CRN: 20437

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 (Feb 10, 2014 to May 12, 2014)

MATH0500HS14
CRN: 20439

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 (Feb 10, 2014 to May 12, 2014)

MATH0500IS14
CRN: 20743

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 (Feb 10, 2014 to May 12, 2014)

MATH0500JS14
CRN: 20922

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 (Feb 10, 2014 to May 12, 2014)

MATH0500KS14
CRN: 20744

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 (Feb 10, 2014 to May 12, 2014)

MATH0500LS14
CRN: 21140

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 (Feb 10, 2014 to May 12, 2014)

MATH0704AS14
CRN: 20146

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:
 Stephen Abbott
 Location:
 Warner Hall 208
 Schedule:
 3:00pm4:15pm on Tuesday, Thursday (Feb 10, 2014 to May 12, 2014)
