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MATH0100A-F12
Cross-Listed As:
INTD0100A-F12
CRN: 91498
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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 real-world 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:
- 11:00am-12:15pm on Tuesday at WNS 207 (Sep 10, 2012 to Dec 7, 2012)
11:15am-12:05pm on Monday, Wednesday, Friday at WNS 507 (Sep 10, 2012 to Dec 7, 2012)
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MATH0116A-F12
CRN: 91776
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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:
- 9:05am-9:55am on Monday, Wednesday, Friday at WNS 507 (Sep 10, 2012 to Dec 7, 2012)
9:30am-10:45am on Thursday at WNS 202 (Sep 10, 2012 to Dec 7, 2012)
- Requirements Satisfied:
- DED
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MATH0121A-F12
CRN: 90201
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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:
- 8:00am-9:15am on Tuesday at WNS 202 (Sep 10, 2012 to Dec 7, 2012)
8:00am-8:50am on Monday, Wednesday, Friday at WNS 202 (Sep 10, 2012 to Dec 7, 2012)
- Requirements Satisfied:
- DED
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MATH0121B-F12
CRN: 90211
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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:
- 9:05am-9:55am on Monday, Wednesday, Friday at WNS 207 (Sep 10, 2012 to Dec 7, 2012)
9:30am-10:45am on Tuesday at WNS 202 (Sep 10, 2012 to Dec 7, 2012)
- Requirements Satisfied:
- DED
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MATH0121D-F12
CRN: 92782
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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:
- 11:00am-12:15pm on Tuesday at WNS 203 (Sep 10, 2012 to Dec 7, 2012)
11:15am-12:05pm on Monday, Wednesday, Friday at WNS 203 (Sep 10, 2012 to Dec 7, 2012)
- Requirements Satisfied:
- DED
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MATH0122A-F12
CRN: 90242
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Calculus II
Calculus II
A continuation of MATH 0121, may be elected by first-year 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:
- 8:00am-9:15am on Thursday at WNS 203 (Sep 10, 2012 to Dec 7, 2012)
8:00am-8:50am on Monday, Wednesday, Friday at WNS 203 (Sep 10, 2012 to Dec 7, 2012)
- Requirements Satisfied:
- DED
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MATH0122B-F12
CRN: 90254
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Calculus II
Calculus II
A continuation of MATH 0121, may be elected by first-year 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:
- 9:05am-9:55am on Monday, Wednesday, Friday at WNS 203 (Sep 10, 2012 to Dec 7, 2012)
9:30am-10:45am on Thursday at WNS 203 (Sep 10, 2012 to Dec 7, 2012)
- Requirements Satisfied:
- DED
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MATH0122C-F12
CRN: 90255
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Calculus II
Calculus II
A continuation of MATH 0121, may be elected by first-year 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:
- 10:10am-11:00am on Monday, Wednesday, Friday at WNS 203 (Sep 10, 2012 to Dec 7, 2012)
11:00am-12:15pm on Thursday at WNS 203 (Sep 10, 2012 to Dec 7, 2012)
- Requirements Satisfied:
- DED
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MATH0200A-F12
CRN: 90258
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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:
- 9:05am-9:55am on Monday, Wednesday, Friday (Sep 10, 2012 to Dec 7, 2012)
- Requirements Satisfied:
- DED
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MATH0200B-F12
CRN: 90259
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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:
- 10:10am-11:00am on Monday, Wednesday, Friday (Sep 10, 2012 to Dec 7, 2012)
- Requirements Satisfied:
- DED
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MATH0200C-F12
CRN: 91256
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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:
- 11:15am-12:05pm on Monday, Wednesday, Friday (Sep 10, 2012 to Dec 7, 2012)
- Requirements Satisfied:
- DED
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MATH0223A-F12
CRN: 90322
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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:
- 11:15am-12:05pm on Monday, Wednesday, Friday (Sep 10, 2012 to Dec 7, 2012)
- Requirements Satisfied:
- DED
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MATH0241A-F12
CRN: 91567
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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:
- 11:15am-12:05pm on Monday, Wednesday, Friday (Sep 10, 2012 to Dec 7, 2012)
- Requirements Satisfied:
- DED
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MATH0302A-F12
CRN: 90323
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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:
- 9:05am-9:55am on Monday, Wednesday, Friday (Sep 10, 2012 to Dec 7, 2012)
- Requirements Satisfied:
- DED
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MATH0310A-F12
CRN: 90324
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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:
- 10:10am-11:00am on Monday, Wednesday, Friday (Sep 10, 2012 to Dec 7, 2012)
- Requirements Satisfied:
- DED
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MATH0323A-F12
CRN: 90325
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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:
- 11:15am-12:05pm on Monday, Wednesday, Friday (Sep 10, 2012 to Dec 7, 2012)
- Requirements Satisfied:
- DED
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MATH0345A-F12
CRN: 92783
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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 inclusion-exclusion, recurrence relations, and some basic combinatorial designs. (MATH 0200 or by waiver) 3 hrs. lect./disc.
- Instructors:
- John Schmitt
- Location:
- Warner Hall 506
- Schedule:
- 10:10am-11:00am on Monday, Wednesday, Friday (Sep 10, 2012 to Dec 7, 2012)
- Requirements Satisfied:
- DED
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MATH0500A-F12
CRN: 90336
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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:
- 7:00pm-8:29pm on Sunday (Sep 10, 2012 to Dec 7, 2012)
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MATH0500B-F12
CRN: 90788
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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:
- 7:00pm-8:29pm on Sunday (Sep 10, 2012 to Dec 7, 2012)
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MATH0500D-F12
CRN: 90933
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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:
- 7:00pm-8:29pm on Sunday (Sep 10, 2012 to Dec 7, 2012)
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MATH0500E-F12
CRN: 90934
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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:
- 7:00pm-8:29pm on Sunday (Sep 10, 2012 to Dec 7, 2012)
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MATH0500F-F12
CRN: 90935
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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:
- 7:00pm-8:29pm on Sunday (Sep 10, 2012 to Dec 7, 2012)
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MATH0500G-F12
CRN: 90936
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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:
- 7:00pm-8:29pm on Sunday (Sep 10, 2012 to Dec 7, 2012)
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MATH0500H-F12
CRN: 90937
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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:
- 7:00pm-8:29pm on Sunday (Sep 10, 2012 to Dec 7, 2012)
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MATH0500I-F12
CRN: 90938
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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:
- 7:00pm-8:29pm on Sunday (Sep 10, 2012 to Dec 7, 2012)
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MATH0500J-F12
CRN: 91104
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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:
- 7:00pm-8:29pm on Sunday (Sep 10, 2012 to Dec 7, 2012)
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MATH0500K-F12
CRN: 91105
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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:
- 7:00pm-8:29pm on Sunday (Sep 10, 2012 to Dec 7, 2012)
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MATH0500L-F12
CRN: 91106
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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:
- 7:00pm-8:29pm on Sunday (Sep 10, 2012 to Dec 7, 2012)
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MATH0704A-F12
CRN: 90337
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Senior Seminar
Senior Seminar
Each student will explore in depth a topic in pure or applied mathematics, under one-on-one 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:
- 3:00pm-4:15pm on Tuesday, Thursday (Sep 10, 2012 to Dec 7, 2012)
- Requirements Satisfied:
- DED
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