An introduction to fundamental concepts and topics in quantum mechanics. Topics include the Schrödinger equation, wave functions, probability, the uncertainty principle, stationary states, one-dimensional potentials, Hilbert space and formal operator methods, the hydrogen atom, spin and angular momentum, and identical particles and entanglement. Analytical and computational solutions to the Schrödinger equation will be developed. Quantum information science and its applications will also be explored. mechanics. Topics include the Schrödinger equation, wave functions, probability, the uncertainty principle, stationary states, one-dimensional potentials, Hilbert space and formal operator methods, the hydrogen atom, spin and angular momentum, and identical particles and entanglement. Analytical and computational solutions to the Schrödinger equation will be developed. Quantum information science and its applications will also be explored.
Prerequisite(s): PHYS 2400 Introduction to Modern Physics, CMPSC 1100 Python Programming I and MATH 2600 Calculus III or MATH 3100 Differential Equations.
(Normally offered even spring semesters.)
PHYS 2400 Introduction to Modern Physics (4 hours)
An introduction to modern physics: the post-Newtonian developments of quantum mechanics and Einsteinian relativity, with focus on special relativity, the atomic and nuclear structure of matter, and the foundations of quantum physics. Principles of modern physics will be approached through the contexts of the historical developments and classic experiments that brought them to light. The laboratory experience incorporates experiments and computer-based investigations, with emphasis on the development of laboratory skills including detectors and measurement techniques, laboratory journaling, data analysis, and reporting of results. Practical aspects of nuclear radiation detection and safety will also be covered.
Three lectures per week.
One laboratory per week.
Prerequisite(s): PHYS 1700 Principles of Physics II or PHYS 2100 General Physics II, and MATH 1610 Calculus II or permission of the instructor.
(Normally offered each spring semester.)
Archway Curriculum: Integrative Core: Innovation Thread
CMPSC 1100 Python Programming I (4 hours)
An introduction to computational problem-solving using Python. Hands-on labs are used to motivate basic programming concepts, including basic data types and structures, functions, conditionals, and loops. Additional topics may include building and scraping HTML webpages. The course is recommended for all who wish to explore data science and/or computer science.
Prerequisite(s): Math ACT score of at least 21 or permission of instructor.
Archway Curriculum: Foundational Literacies: Mathematical Problem Solving
MATH 2600 Calculus III (4 hours)
An introduction to multivariable calculus. Topics include vector-valued functions, functions of several variables, partial derivatives, multiple integrals, and analysis. Assignments are given that help build proficiency in the use of a computer algebra system.
Prerequisite(s): Permission of department chair or grade of "C" or better in MATH 1610 Calculus II.
(Normally offered each fall semester.)
Archway Curriculum: Foundational Literacies: Mathematical Problem Solving
MATH 3100 Differential Equations (4 hours)
A study of ordinary differential equations. Topics include first- and higher-order, linear and nonlinear differential equations with applications. Additional topics may be chosen from systems of differential equations, transform techniques, and numerical methods. Use will be made of a computer algebra system.
Prerequisite(s): Grade of "C" or better in MATH 1610 Calculus II.
(Normally offered each spring semester.)