Ave Maria University
SITEMAP   |   CAMPUS DIRECTORY   |   ABOUT US   |   CAREERS   |   SEARCH 

Ave Maria University

Ave Maria University
PROSPECTIVE STUDENTS
CURRENT STUDENTS
PARENTS
FOUNDERS
&VOLUNTEERS
RELIGIOUS DISCERNMENT
ADMINISTRATION &FACULTY

Academics

2007/2008 Mathematics & Physics Courses


MATH 100 Back
Number, Magnitude, Form – The development of the concepts of number, magnitude, and form in mathematics. Topics include the natural numbers, the real numbers, and transfinite numbers, length, area, volume, dimension, and fractals, and knots. Emphasis is on the understanding of ideas and the ability to express them through mathematical arguments

MATH 120 Back
Finite Mathematics – Application of quantitative tools as an aid to problem solving in a variety of areas. Topics include solution techniques for systems of linear equations and inequalities, basic principles of probability and statistics, elementary finance, Markov chains, matrices, and more.

MATH 150 Back
Functions – A survey of the fundamental mathematical functions and their applications including the linear, absolute value, polynomial, rational, exponential, logarithmic, and trigonometric functions.

MATH 151 Back
Calculus I – Differential and elementary integral calculus of functions of one variable. Topics include limits, continuity, derivatives, linear approximation, the Fundamental Theorem of Calculus, and elementary techniques of integration. MTH 150 or placement required.

MATH 201 Back
History of Mathematics – The history of mathematics from its origins to the present with an emphasis on significant problems and their solutions. MTH 151 or permission of instructor required.

MATH 230 Back
Statistics – Introduction to statistical inference. Basic probability, descriptive statistics, sampling distributions, parameter estimation, tests of hypotheses, chi-square tests, regression analysis, analysis of variance, and nonparametric tests.
(ECON 303 Statistics for the Social Sciences)
Prerequisites: MATH 150

MATH 250 Back
Calculus II – Continuation and extension of Calculus I. Topics include more advanced integration techniques, limits and improper integrals, vector-valued functions of a single variable, scalar-valued functions of N variables, partial derivatives, geometric volumes, sequences and series.
Prerequisites: MTH 151

MATH 251 Back
Vector Calculus – Calculus of functions in several variables. Topics include the geometry of Euclidean space, vector algebra, forms, matrices, vector-valued functions, the inverse and implicit function theorems, line and surface integrals, differential forms, and the theorems of Green, Gauss, and Stokes. Applications to physics.
Prerequisites: MTH 250

MATH 252 Back
Ordinary Differential Equations – An introduction to the theory of ordinary differential equations with an emphasis on methods of solution. Topics include first-order equations, existence and uniqueness, linear equations, equations with constant coefficients, variation of parameters, Laplace transforms, series solutions, systems of equations, numerical methods.
Prerequisites: MATH 251

MATH 270 Back
Scientific Programming – An introduction to programming via the solution of various problems in mathematics and the sciences. Problem description, development of a model, creation and implementation of a computational method of solution, and assessment of results.
Prerequisites: MATH 150

MATH 310 Back
Algebraic Structures – An introduction to abstract algebra. Topics include groups, subgroups, quotient groups, homomorphisms, rings, ideals, and fields. Emphasis on constructing, writing, and presenting proofs.

Prerequisites: MATH 251

MATH 311 Back
Linear Structures – A study of abstract linear algebra. Topics include vector spaces, linear transformations, matrices, eigenvalues, canonical forms, inner product spaces, and modules.
Prerequisites: MATH 310

MATH 312 Back
Number Theory – A study of the basic properties of the integers including divisibility, primes and their distribution, unique factorization, the Euclidean algorithm, congruences, primitive roots, arithmetic functions, quadratic reciprocity, Diophantine equations, and other topics.
Prerequisites: MATH 310

MATH 330 Back
Probability – An introduction to probability theory. Topics include sample spaces, discrete and continuous random variables, density functions, moment generating functions, probability distributions, and the Central Limit Theorem.
Prerequisites: MATH 250

MATH 350 Back
Real Analysis – A rigorous study of the theoretical structure of calculus including the real numbers, metric spaces, limits, continuity, differentiation, integration, the Fundamental Theorem of Calculus, infinite series, and power series.
Prerequisites: MATH 310

MATH 351 Back
Complex Analysis – An introduction to the study of functions of a complex variable. Topics include the complex numbers, analytic functions, the elementary functions, complex integration, Taylor and Laurent series, residues, conformal mapping, and applications.
Prerequisites: MATH 251

MATH 352 Back
Partial Differential Equations – An introduction to second-order partial differential equations in two variables. Topics include wave motion and Fourier series, heat flow and the Fourier integral, Laplace's equation and complex variables, second-order equations in more than two variables, spherical harmonics, and associated special functions of mathematical physics.
Prerequisites: MATH 252

MATH 490 Back
Senior Seminar – Student presentations of selected mathematical problems and directed readings. Senior status required.

MATH 491 Back
Undergraduate Research – Student-Faculty collaboration on research projects of mutual interest. Permission of the department required.

PHYS 201 Back
Physics of Everyday Life (with lab) – This course is a one-semester introduction to physics. Common machines, devices, and everyday phenomena are used as examples to illustrate underlying physical principles. Working knowledge of algebra and geometry is assumed.

PHYS 211 Back
College Physics I Lecture – Mechanics is foundational to physics. Topics include: rectilinear and rotational motions of particles and rigid bodies, forces, energy methods, conservation laws, and oscillations and waves.

PHYS 211L Back
College Physics I (with lab) – Mechanics is foundational to physics. Topics include: rectilinear and rotational motions of particles and rigid bodies, forces, energy methods, conservation laws, and oscillations and waves.
Prerequisites: MATH 150

PHYS 212 Back
College Physics II (with lab) – Thermodynamics, electricity and magnetism, and optics are essential aspects of classical physics. Topics include: temperature, heat and its transfer, the Laws of Thermodynamics, electric force, field, potential and current, capacitance, resistance, induction, circuits, and optics.
Prerequisites: MATH 150

PHYS 221 Back
University Physics I Lecture – Mechanics is foundational to physics. Topics include: rectilinear and rotational motions of particles and rigid bodies, forces, energy methods, conservation laws, and Newton’s Law of Universal Gravitation.

PHYS 221L Back
University Physics I (with lab) – Mechanics is foundational to physics. Topics include: rectilinear and rotational motions of particles and rigid bodies, forces, energy methods, conservation laws, and Newton’s Law of Universal Gravitation.
Prerequisites: MATH 151

PHYS 222 Back
University Physics II (with lab) – Maxwell’s unification of electricity and magnetism was a revolutionary development in classical physics. Topics include: electric force, field, potential and current, capacitance, resistance, induction, and AC/DC circuits, Maxwell’s Equations and their vacuum solutions.
Prerequisites: PHYS 221 and MATH 250

PHYS 323 Back
University Physics III – Oscillatory and wave-like behavior is ubiquitous in nature. Topics include: simple harmonic oscillation, traveling and standing waves, interference and diffraction, optics, and the Laws of Thermodynamics.
Prerequisites: PHYS 221, 222 and MATH 250

PHYS 330 Back
Intermediate Mechanics – Topics include: central force potentials, Lagrangian and Hamiltonian formulations of dynamics, fluids.
Prerequisites: PHYS 323

PHYS 341 Back
Thermodynamics and Statistical Mechanics – Topics include: classical formulation of Thermodynamic Laws; Maxwell-Boltzmann, Bose-Einstein, and Fermi-Dirac distributions and applications.
Prerequisites: PHYS 323

PHYS 350 Back
Electricity and Magnetism I – Topics include: Maxwell’s equations in differential form, electrodynamics, electromagnetic waves, special relativity.
Prerequisites: PHYS 323

PHYS 361 Back
Quantum Mechanics I – Topics include: quantum operators, one-dimensional wells and barriers, Born interpretation, Schroedinger equation, Uncertainty Principle, central force problems, angular momentum, spin, addition of angular momenta.
Prerequisites: PHYS 323 or permission of instructor

PHYS 362 Back
Quantum Mechanics II – Topics include: fermions and bosons, perturbation theory (time independent and time dependent), variational methods, WKB approximation, scattering.
Prerequisites: PHYS 361