Catalog
Franklin W. College of Engineering
MTH 3150 Numerical Methods and Scientific Computing Credits: 4 MTH Hours: 4-0-8 Prerequisites: MTH 2120, MTH 2140 Usually offered: TBA For information contact: Professor John Geddes
The speed of modern computers has allowed simulation to become a very powerful tool in the design and analysis of systems in science and engineering. This power is easily misused and scientific computing is full of pitfalls. This course introduces students to methods useful for accurately simulating complex systems in the physical sciences and engineering. The first half of the course focuses on iterative techniques for solving algebraic systems, interpolation of functions, and advanced techniques for solutions to ordinary differential equations. The second half of the course focuses on an introduction to solutions to boundary-value problems and solutions to partial differential equations, with the students required to choose an application in science and engineering to solve in detail.
MTH 3160 Introduction to Complex Variables Credits: 4 MTH Hours: 4-0-8 Prerequisites: MTH 1120, MTH 2140 Usually offered: TBA For information contact: Professor John Geddes
This course provides an introduction to the analysis of functions in the complex plane. Topics include the Cauchy-Riemann equations, conformal mapping, Cauchy-Goursat theorem, Taylor-Laurent series, the residue theorem, Nyquist criterion, continuation of analytic functions, and applications in science and engineering.
MTH 3170 Nonlinear Dynamics and Chaos Credits: 4 MTH Hours: 4-0-8 Prerequisite: MTH 2120, MTH 2140 Usually offered: Spring For information contact: Professor John Geddes
This course will focus on the modern theory of dynamical systems including both discrete and continuous processes. The course will emphasize both theory and applications. Theory topics might include, for example, linear and nonlinear stability theory, periodic solutions, bifurcation theory, chaos, and strange attractors. Applications discussed might include, for example, mechanical oscillators and biological oscillators.
Science SCI 1111 Modeling and Simulation of the Physical World Credits: 2 SCI Hours: 3-0-3 Co-requisites: MTH 1111 Usually offered: Fall For information contact: Professor Mark Somerville
See description in the Olin Introductory Experience (OIE) section
SCI 1121 Electricity and Magnetism Credits: 4 SCI Hours: 4-0-8 Co-requisites: MTH 1120 Usually offered: Spring For information contact: Professors Yevgeniya V. Zastavker, Rebecca Christianson and Mark Somerville
Electricity and magnetism, including electric charges, forces, and fields, Gauss’s Law, potential, electrostatic energy and capacitors, magnetic fields and energy, mutual and self induction, Ampere’s Law, Maxwell’s Equations and electromagnetic waves.
n C O U R S E L I ST I N G S
binary, and non-binary codes. Mathematics such as modular arithmetic and introductory ring and field theory will be introduced and used extensively. Students must simultaneously enroll in MTH 3140 and ENGR 3140 for a total of 4 credit hours.
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