Page 3 - Applied Mathematics Brochure
P. 3

Curriculum and Core Skills
                                                    Skill Sets Are Cumulative – Building And Expanding Each Term
                                                    Freshman Year                      SKILLS OBTAINED
                                                    •  First Year Experience           •  Differentiation & integration
                                                    •  Principles of Chemistry & Lab    techniques
                                                    •  Written and Oral                •  Solving optimization problems
                                                      Communications I                 •  Solving problems in economics
                                                                                        & science: rates of change, work,
                                                    •  Calculus I                       hydrostatic force
                                                    •  Economic Principles             •  Matrix manipulations, systems of
                                                    •  Calculus II                      linear equations, spectral theory
                                                    •  Matrix Algebra                   of matrices and applications to
                                                    •  Newtonian Mechanics & Lab        modeling population dynamics
                                                    •  Computer Programming            •  Java, MATLAB or Visual Basic,
                                                                                        data structures and algorithms
                                                                                       •   Motion dynamics & obtaining
                                                                                         laboratory measurements




                                                    Sophomore Year                     SKILLS OBTAINED
                                                    •   Introduction to the Humanities  •  Partial differentiation and
                                                    •  Multivariate Calculus            multivariate integration techniques
                                                    •  Abstract Algebra                •  Applications to multivariate and
                                                    •  Introduction to Social Science     constrained optimization problems
                                                    •  Differential Equations & Laplace      in economics and science: profit,
                                                     Transforms                           gravity, statics
                                                    •  Electricity & Magnetism & Lab   •  First and higher order ordinary
                                                    •  Mathematical Statistics I        differential equations, applications
                                                    •  Science Elective                 to physical systems, vibrations




                                                    Junior Year                        SKILLS OBTAINED

                                                    •  Written & Oral Communication II  •  Solving ordinary differential equations
                                                    • Numerical Methods and Matrices   •  Solving partial differential equations
                                                    • Boundary Value Problems           and boundary value problems
                                                    • Methods of Applied Mathematics    with Fourier series, eigenfunction
                                                    • Intermediate Differential Equations  expansions, and Fourier transforms.
                                                    • Advanced Humanities              •  Solving science/engineering
                                                    • Two Free Electives                problems with advanced calculus,
                                                                                        dimensional analysis, asymptotic
         Get In The Lab                                                                 expansions, perturbation and
                                                                                        variational methods
         Our state-of-the-art computing                State-of-the-Art                •  Solving systems of linear and
         labs are open 24/7 and are packed                   LAB                        nonlinear equations using matrix
         with PCs and workstations that                                                 methods, Linearization and
         can run the powerful math and                     FACILITIES                   perturbation methods.
         statistical programs you’ll need.
         And we’re famous for having some
         of the country’s most sophisticated
         engineering, math and science labs.
                                                    Senior Year                        SKILLS OBTAINED
         In our Computer Mathematics Lab,                                              •  Vector functions, scalar and
         you’ll design a better roller coaster,     •  Vector Analysis                  vector fields, and line and surface
         analyze predator-prey systems,             •  Advanced Humanities
         and calculate the best path of             •  Two Engineering Applications/CS   integration
         descent for an airplane.                    Sequence                          •  Mathematical proofs and concepts
                                                    •  Real Analysis I                  of limits and continuity
                                                    •  Partial Differential Equations  •  Solving partial differential
         Challenge Your Brain                       •  Complex Variables                equations, boundary and initial
                                                    •  Senior Seminar                   value problems in cylindrical and
         In the classroom you will exercise         •  Three Free Electives             spherical coordinates.
         your brain with challenging                •  Science Elective                •  Complex numbers and functions.
         mathematical courses.                                                          Using integration in the complex
                                                                                        plane with basic results such as
                                                                                        the Cauchy-Goursat Theorem
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