Mathematics Course Descriptions

Fall, spring. Sample spaces, probability, Bayes theorem, independence, random variables, binomial distributions, normal distribution, sampling distributions, confidence intervals.

Convex sets, linear inequalities, linear programming, two-person games, finite graphs. Applications in management, economics, and behavioral sciences.

Fall, spring. Limits, derivatives, antiderivatives, the definite integral.

Fall, spring. Prerequisite: Math 11, 115, or placement. Techniques of integration, exponential and logarithm functions, sequences and series, polar coordinates.

Fall. For first-year students who have received a score of 4 or 5 on Calculus AB advanced placement exam.

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.

Spring. Prerequisite: Mathematics AP credit or Math 115. Integration, differential equations, multivariable calculus, and discrete probability and statistics, with an emphasis on applications to biology.

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.)

Topics will be announced each year.

Prerequisite: Math 112, 112z, or 119. Development and use of mathematical models from probability and statistics with applications.

Fall, spring. Prerequisite: Mathematics 112. Vectors; multivariable functions; partial derivatives; multiple integrals; vector and scalar fields; Green's and Stokes' theorems; divergence theorem.

Fall, spring. Prerequisite: Mathematics 112. Ordinary differential equations with applications.

Fall, spring. Prerequisite: Mathematics 112. Systems of linear equations and matrices, determinants, linear transformations, eigenvalues, and eigenvectors.

Fall, spring. Prerequisite: Mathematics 112. An introduction to theoretical mathematics. Logic and proofs, operations on sets, induction, relations, functions.

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.

Fall. Prerequisites: Mathematics 221 or 321 and Computer Science 170. Solution of linear and nonlinear systems of equations, interpolation, least-squares approximation, numerical integration, and differentiation.

Fall. Prerequisites: Mathematics 211 and 250, or consent of instructor. Analytic functions, elementary functions, integrals, power series, residues, and conformal mapping.

Spring. Prerequisite: Mathematics 250. Axiomatic treatment of vector spaces, inner product spaces, minimal polynomials, Cayley Hamilton theorem, Jordan form, and bilinear forms.

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.

Prerequisites: Mathematics 211, 221 or 321, and 250. Curves and surfaces in 3-space. The geometry of the Gauss map. Special surfaces. The intrinsic geometry of surfaces. Surfaces and computer graphics.

Prerequisites: Mathematics 212 and Computer Science 170. Principles of mathematical modeling; case studies using nonlinear ordinary differential equations, difference equations, and partial differential equations.

Spring. Prerequisites: Mathematics 221 or 321 and Computer Science 170. Theory of linear programming, duality, optimal flows in networks, and mathematical programming.

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.

Fall. Prerequisite: Mathematics 211. Discrete and continuous probability, random variables, special distributions.

Spring. Prerequisite: Mathematics 361. Estimation, hypothesis testing, goodness-offit tests, linear regression.

Fall. Prerequisites: Mathematics 211, 221, or 321 and 250. Analysis of sets and functions in n-space. Basic topological properties, continuity, and differentiation.

Spring. Prerequisite: Mathematics 411. Integration in n-space: theorems of Stokes and Fubini. Uniform convergence: theorems of Taylor and Stone-Weierstrass. Sard's theorem.

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.

Prerequisite: Mathematics 250. May be repeated for credit when topic varies.

Prerequisites: Mathematics 221 or 321 and 250. May be repeated for credit when topic varies.

Prerequisites: Mathematics 221 or 321, and 250. May be repeated for credit when topic varies.

Prerequisite: Mathematics 250. May be repeated for credit when topic varies.

Credit, one to four hours. May be repeated, provided total credit does not exceed four hours.

Credit, one to four hours, as arranged with the department.