MATH 101: Trigonometry & Algebra  Credits: 4  − Description 

MATH 105: Discrete Mathematics  Credits: 4  − Description 

MATH 106: Intro Ideas & Methods Of Math  Credits: 4  − Description 

MATH 107: Intro. Probability and Statistics  Credits: 4  − Description 
Content: Fall, spring. Sample spaces, probability, Bayes theorem, independence, random variables, binomial distributions, normal distribution, sampling distributions, confidence intervals. 
MATH 108: Intro To Linear Algebra  Credits: 4  − Description 

MATH 109: Game Theory, Graphs and Math. Models  Credits: 4  − Description 
Content: Convex sets, linear inequalities, linear programming, twoperson games, finite
graphs. Applications in management, economics, and behavioral sciences. 
MATH 111: Calculus I  Credits: 4  − Description 
Content: Fall, spring. Limits, derivatives, antiderivatives, the definite integral. 
MATH 111S: Calculus I  Credits: 4  − Description 

MATH 112: Calculus II  Credits: 4  − Description 
Content: Fall, spring. Prerequisite: Math 111, 115, or placement. Techniques of integration,
exponential and logarithm functions, sequences and series, polar coordinates. 
MATH 112S: Freshman Seminar: Calculus II  Credits: 4  − Description 
Content: Fall. Prerequisites: A score of 4 or 5 on the AB Advanced Placement Calculus exam. This section of Math 112Z is designated a freshman seminar. It is an introduction to mathematical proofs in which students learn to speak and write with the accuracy required to communicate mathematical work effectively. Course content is largely that of a calculus 2 course: Introduction of the natural logarithm via the definite integral, exponential functions, sequences and series, power series, Taylor series. 
MATH 112Z: Calculus II  Credits: 4  − Description 
Content: Fall. For firstyear students who have received a score of 4 or 5 on Calculus AB
advanced placement exam. 
MATH 115: Life Science Calculus I  Credits: 4  − Description 
Content: Fall. First semester calculus with an emphasis on applications to the life sciences.
This course is recommended by the biology department and the NBB program for
its majors. 
MATH 116: Life Sciences Calculus II  Credits: 4  − Description 
Content: Spring. Integration, differential equations, multivariable calculus, and discrete probability and statistics, with an emphasis on applications to biology. Prerequisites: Math 115 or AP calculus placement. Students with the AP prerequisite are strongly advised to meet the instructor before the beginning of the term. 
MATH 119: Calculus with Business Applications  Credits: 4  − Description 
Content: Fall, spring. Derivatives, logarithmic and exponential functions, integrals. Applications and techniques emphasized. (Note: This course is designed primarily for students who plan to enter the Goizueta Business School at Emory. It should not be taken by students who have either taken or plan to take Mathematics 111 or 112.) 
MATH 130: Basic Programming & Computer  Credits: 4  − Description 

MATH 190: Freshman Seminar: Sports, Games and Gambling  Credits: 4  − Description 
Content: In this course we will learn some mathematics from the areas of
probability, game theory, and combinatorial design theory by
investigating topics from the world of sports, competitive games
of strategy, casino games, lotteries, and the mathematical theory
of games. Depending upon the interests of students in the class,
possible topics include backgammon, poker, othello (and other
board games), football and basketball pools, baseball statistics,
evaluation of individual player performances in team sports such
as basketball and hockey, and card games such as hearts, casino
and blackjack (although the complexity of the game and the use
of multiple deck shoes make a mathematical analysis of blackjack
beyond the scope of this seminar, we can still make intelligent
empirical observations about various playing and betting strategies;
i.e., we can still have a good time playing the game). 
MATH 190: Freshman Seminar: Theory of Knots  Credits: 4  − Description 
Content: Knots are familiar objects. We use them to tie our shoes, wrap our packages, and moor our boats. Yet they are also quite mysterious: if you have two tangled up ropes, for instance, can you tell if they are tied in the same knot?
This course will introduce some of the mathematical techniques people have developed to study knots, partially in an attempt to answer this very question. Additionally, these studies lead to deep results about topology and geometry. We will also see various applications, like how knot theory is relevant to the study of DNA. Particulars: Text: The Knot Book, by Colin Adams 
MATH 190: Freshman Seminar: Cryptology  Credits: 4  − Description 
Content: When you buy something on the web, you broadcast your credit card number to untold numbers of other computers. How is your number kept secret? When you swipe your credit card at the grocery store checkout, sometimes the machine knows that it misread your card without calling Visa. How does it know? These questions and others will be answered. Also, we will discuss the role of secret codes and codebreaking in wartime, criminal activity, and the lives of lawabiding citizens. Particulars: The style of this course will be halfway between a humanities and a mathematics class. Prerequisites: 4 or 5 on the Calculus AB exam or equivalent on the Calculus BC exam. 
MATH 190: Freshman Seminar: Mathematics and Politics  Credits: 4  − Description 
Content: Can a game explain the irrationality of the arms race of the 1980's? Is democracy, in the sense of reflecting the will of the people, impossible? In this course we will use mathematics to explore questions like these. The "politics" in the course will cover five topics such as international conflict, yesno voting systems, political power, and social choice. The "mathematics" will be conceptual rather than computational and will include symbolic representation and manipulation, game theory, mathematical modeling, and logical deduction. Particulars: Text: Mathematics and Politics: Strategy, Voting, Power, and Proof, by Alan. D. Taylor Prerequisites: There are no prerequisites, however students should have an interest in mathematics and political science. 
MATH 190: Freshman Seminar: Sports & Games of Strat. Chanc  Credits: 4  − Description 

MATH 190: Freshman Seminar: The Mathematics of Sports, Games and Gambling  Credits: 4  − Description 
Content: The course is designed to build the laws of probability and game
theory through the models of well known games and sports.
Fundamental laws of probability will be developed and applied to
games such as poker, blackjack, backgammon, lotteries
and more. Fundamental combinatorial counting techniques will
be employed to determine outcomes (permutations and combinations).
Card tricks based on mathematical principles will be demonstrated
in order to learn basic ideas of information encoding.
Deeper fundamentals will be introduced using more involved
examples. In developing these theories, laws of fair judging can
also be investigated.
Games will be employed to develop winning strategies or determine
when a win is not possible. Graph models will be developed to
study certain situations in games and to trace strategies.
Concepts will be developed through experimentation and conjectures
made by the students. Hence, class participation will be a major
component of the course. In doing this I hope to improve their basic
intuition about what should be true as well as their general
communication skills.
Small group learning will also be employed, both for in class
experiments and for some assignments. Students will be encouraged
to work together in class to test experiments and raise conjectures.
They will be encouraged to present their ideas to the rest of class.
We will maintain an ongoing dialogue while we develop the theorems
and laws governing the models we study.
General writing techniques will also be employed. Formal
and informal writing will be assigned, both to individuals and groups.
Communication of ideas at all levels will be stressed
throughout the course. Particulars: Texts:
The Mathematics of Games and Gambling by Edward Packel,
The Mathematical Association of America New Mathematical Library,
1981. Prerequisites: High School Algebra 
MATH 207: Probability and Statistics with Applications  Credits: 4  − Description 
Content: Prerequisite: Math 112, 112Z, or 119. Development and use of mathematical models
from probability and statistics with applications. 
MATH 211: Multivariable Calculus  Credits: 4  − Description 

MATH 211P: Multivariable Calculus  Credits: 4  − Description 
Content: Prerequisites: Math 112, Math 112S, or Math 112Z. This section of Math 211 is designed to meet the needs of physics majors, but math majors and others with strong interest are welcome. Topics include vectors and 3space, functions of several variables, parametrized curves, vector fields, line integrals, surfaces, gradients, partial derivatives, multiple integrals in various coordinate systems, conservative fields, circulation, flux, Stokes' Theorem. Optimization (for economics) will not be covered. 
MATH 212: Differential Equations  Credits: 4  − Description 
Content: Fall, spring. Prerequisite: Mathematics 112. Ordinary differential equations with applications. 
MATH 221: Linear Algebra  Credits: 4  − Description 
Content: Fall, spring. Prerequisite: Mathematics 112. Systems of linear equations and matrices, determinants, linear transformations, eigenvalues, and eigenvectors. 
MATH 234: Intro To Computer Usage&Prog I  Credits: 3  − Description 

MATH 235: Intro To Computer Usage&Prog II  Credits: 3  − Description 

MATH 245: Intro To Automata Theory II  Credits: 3  − Description 

MATH 250: Foundations of Mathematics  Credits: 4  − Description 
Content: Fall, spring. Prerequisites: Math 112, 112Z, 112S or permission of the instructor. An introduction to theoretical mathematics. Logic and proofs, operations on sets, induction, relations, functions. 
MATH 250S: Foundations of Mathematics  Credits: 4  − Description 
Content: Prerequisites: Math 112, 112Z, 112S or permission of the instructor. This course provides the bridge from calculus to more abstract mathematics courses. It is a small seminar intended to develop the student's ability to work with fundamental logical and mathematical concepts. Emphasis will be placed on the careful and precise expression of ideas. The students and the instructor will construct proofs of theorems and present them in class. 
MATH 261: Probability & Statistics I  Credits: 4  − Description 

MATH 262: Probability & Statistics II  Credits: 4  − Description 

MATH 270: History and Philosophy of Mathematics  Credits: 4  − Description 
Content: (Same as Philosophy 270.) Prerequisites: Math 112, 112Z, 112S or permission of the instructor. Topics in the history of mathematics and their philosophical background. Genesis and evolution of ideas in analysis, algebra, geometry, mechanics, foundations. Historical and philosophical aspects of concepts of infinity, mathematical rigor, probability, etc. The emergence of mathematical schools. 
MATH 311: Real Analysis I  Credits: 4  − Description 

MATH 311: Real Analysis I  Credits: 4  − Description 

MATH 312: Real Analysis II  Credits: 4  − Description 

MATH 315: Numerical Analysis  Credits: 4  − Description 
Content: Fall. Prerequisites: Mathematics 221 or 321 and Computer Science 170. Solution of linear and nonlinear systems of equations, interpolation, leastsquares approximation, numerical integration, and differentiation. 
MATH 318: Complex Variables  Credits: 4  − Description 
Content: Fall. Prerequisites: Mathematics 211 and 250, or consent of instructor. Analytic functions, elementary functions, integrals, power series, residues, and conformal mapping. 
MATH 321: Abstract Vector Spaces  Credits: 4  − Description 
Content: Spring. Prerequisite: Mathematics 250. Axiomatic treatment of vector spaces, inner product spaces, minimal polynomials, CayleyHamilton theorem, Jordan form, and bilinear forms. 
MATH 323: Abstract Algebra I  Credits: 4  − Description 

MATH 324: Abstract Algebra II  Credits: 4  − Description 

MATH 330: Introduction to Combinatorics  Credits: 4  − Description 
Content: Alternate years. Prerequisites: Mathematics 221 or 321, and 224 or 250. Combinations and permutations, counting techniques, recurrence relations, and generating functions. Block designs, finite planes, and coding theory. Introduction to graph theory. 
MATH 340: The Number System  Credits: 4  − Description 

MATH 340E: Number System: Early Childhood  Credits: 4  − Description 

MATH 341: Informal Geometry  Credits: 4  − Description 

MATH 341E: Informal Geometry:Early Childh  Credits: 4  − Description 

MATH 344: Differential Geometry  Credits: 4  − Description 
Content: Prerequisites: Mathematics 211, 221 or 321, and 250. Curves and surfaces in 3space. The geometry of the Gauss map. Special surfaces. The intrinsic geometry of surfaces. Surfaces and computer graphics. 
MATH 344S: Differential Geometry  Credits: 4  − Description 

MATH 345: Mathematical Modeling  Credits: 4  − Description 
Content: Prerequisites: Mathematics 212 and Computer Science 170. Principles of mathematical modeling; case studies using nonlinear ordinary differential equations, difference equations, and partial differential equations. 
MATH 346: Intro. to Optimization Theory  Credits: 4  − Description 
Content: Spring. Prerequisites: Mathematics 221 or 321 and Computer Science 170. Theory of linear programming, duality, optimal flows in networks, and mathematical programming. 
MATH 348: Intro To Found Of Geometry  Credits: 4  − Description 

MATH 351: Partial Differential Equations  Credits: 4  − Description 
Content: Prerequisites: Mathematics 221 or 321 and 211. PDEs and their origin, classification of PDEs, analytical methods for the solution of PDEs, qualitative properties of the solutions, eigenvalue problems and introduction to numerical methods. 
MATH 361: Probability & Statistics I  Credits: 4  − Description 
Content: Fall. Prerequisite: Mathematics 211. Discrete and continuous probability, random variables, special distributions. 
MATH 362: Probability & Statistics II  Credits: 4  − Description 
Content: Spring. Prerequisite: Mathematics 361. Estimation, hypothesis testing, goodnessoffit tests, linear regression. 
MATH 411: Real Analysis  Credits: 4  − Description 
Content: Fall. Prerequisites: Mathematics 211, 221, or 321 and 250. Analysis of sets and functions
in nspace. Basic topological properties, continuity, and differentiation. 
MATH 412: Real Analysis II  Credits: 4  − Description 

MATH 422: Abstract Algebra II  Credits: 4  − Description 
Content: Spring. Prerequisite: Mathematics 323. Rings (definition and examples), quotient rings and homomorphisms, Euclidean rings, polynomial rings, fields (definition), roots of polynomials, and elements of Galois theory. Additional topics may include construction by straightedge and compass, and solvability of a polynomial by radicals. 
MATH 425S: Mathematical Economics  Credits: 4  − Description 
Content: Spring. (Same as Economics 425.) Prerequisites: Economics 201, 212 and Mathematics 211, or permission of the instructors. Introduction to the use of calculus in economic analysis; comparative static problem and optimization theory; consideration of the mathematical techniques used in game theory. 
MATH 430: Coding Theroy  Credits: 4  − Description 

MATH 445: Mathematical Economics  Credits: 4  − Description 

MATH 486S: Topics in Toplogy: Geometric Group Theory  Credits: 4  − Description 
Content: Prerequisite: Mathematics 250. May be repeated for credit when topic varies. 
MATH 487: Graph Theory  Credits: 4  − Description 

MATH 487S: Topics in Combinatorics  Credits: 4  − Description 
Content: Prerequisites: Mathematics 221 or 321 and 250. May be repeated for credit when topic varies. 
MATH 488S: Topics in Algebra: Number Theory  Credits: 4  − Description 
Content: Prerequisites: Mathematics 221 or 321, and 250. May be repeated for credit when topic varies. 
MATH 489R: Topics in Analysis  Credits: 4  − Description 
Content: Prerequisite: Mathematics 250. May be repeated for credit when topic varies. 
MATH 495RWR: Honors  Credits: 1  4  − Description 
Content: Credit, one to four hours. May be repeated, provided total credit does not exceed four hours. 
MATH 497R: Directed Study  Credits: 1  4  − Description 
Content: Credit, one to four hours, as arranged with the department. 
MATH 547: Differential Topology  Credits: 4  − Description 
Content: Smooth manifolds, tangent spaces and derivatives, Sard's theorem, inverse function theorem, transversality, intersection theory, fixedpoint theory, vector fields, Euler characteristic, the PoincareHopf theorem, exterior algebras, differential forms, integration, Stokes' theorem, de Rham cohomology. 