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Mathematics is the lens through which Physicists perceive the mysteries of the universe, and the language with which they express the fundamental questions and answers that take them from the start of their search to the summit of their science. More than merely complementary, these subjects are inseparable, mutually supportive, and each reflecting the essential, indispensable qualities of the other.
Graduates with a degree in Physics are finding a myriad of professional opportunities. This program has been designed to substantially expand the depth and breadth of academic exposure and dramatically increase their attractiveness to employers. Given the extent to which mathematics already makes up a significant part of the coursework done by students in physics, the chance to double their major is a natural one. Twice the reward, twice the opportunities.
Course Name
Course #
Credits
May need 1 year high school chemistry and chemistry placement or math placement. Laws and concepts of chemistry and their application to chemical systems. The liquid and solid states, phase changes and phase diagrams, topics in the chemistry of materials, oxidation-reduction chemistry, electrochemistry, chemical thermodynamics and gas-phase equilibrium. Lect. 3 hrs., Workshop 1 hr., 3 hours credit. The following courses can be taken concurrently with this course: MCS 1074, MCS 1414, MCS 1424.
CHM1213
3
University Chem 1 Lab – Laboratory experiments supporting topics covered in CHM1213. Lab 3 hrs. The following course can be taken concurrently with this course: CHM 1213.
CHM1221
1
Topics include, limits and continuity, differentiation of algebraic and transcendental functions, mean value theorem, applications of differentiation, anti-derivatives, indefinite integrals, inverse trigonometric functions, substitutions, definite integrals, the Fundamental Theorem of Calculus, applications of integration. Applications will be emphasized. In addition to regular class meetings, all students are required to participate in calculus lab sessions. The schedule, frequency, and modality of these labs may vary by section. Refer to the class schedule and course syllabus for details.
MCS1414
4
Course not found.
PHY1213
3
Course not found.
PHY1221
1
College Composition develops students’ acquisition of the fundamental principles of academic writing. This course focuses on the development of writing thesis statements and main arguments, topic sentences, transitional words and phrases, supporting paragraphs, use of evidence, essay organization, and research skills. Extensive writing and research practice is required.
COM1103
3
Introduction to scientific thinking with emphasis on collaboration, community, and scientific communication. Hands-on experiments and laboratory safety. Exploration of institutional resources and active areas of scientific research at LTU.
PSC1161
1
Total Credits:
16
Course Name
Course #
Credits
Calculus based kinematics and dynamics of particles, conservation of energy, momentum, rotational dynamics and statics, fluids, temperature and heat, and laws of thermodynamics. 3 Credit hours. Lecture 3 hrs., Studio 1 hr. The following course can be taken concurrently with this course: MCS1424.
PHY2413
3
Course not found.
PHY2421
1
Hyperbolic functions, L’Hospital’s rule, techniques of integration, application to arc length and surface area, polar coordinates, infinite series, Taylor Series. In addition to regular class meetings, all students are required to participate in calculus lab sessions. The schedule, frequency, and modality of these labs may vary by section. Refer to the class schedule and course syllabus for details.
MCS1424
4
An overview of computer science for CS and non-CS majors with the overarching objective to develop a computational mindset. For CS majors, to gain an appreciation of the relevance of the various computing topics and interrelationships for future courses. For non-CS majors, to provide the necessary technological background to appreciate and integrate into today’s technical society.
MCS1243
3
A historical survey that develops students’ abilities to critically engage texts of the ancient global world, placing an emphasis on the way these texts reflect their context and human experience. Readings may draw from philosophy, history, literature, visual art, and more. Class activities include reading of primary sources, seminar discussion, and writing in various genres. May be taken concurrently with COM 1103.
HUM1213
3
A historical survey that develops students’ abilities to engage texts of the modern global world, placing an emphasis on the way these texts reflect their context and human experience. Readings may draw from philosophy, history, literature, visual art, photography, film, digital media, and more. Class activities include reading of primary sources, seminar discussion, and writing in various genres. May be taken concurrently with COM 1103.
HUM1223
3
Total Credits:
17
Course Name
Course #
Credits
Calculus based simple harmonic motion, waves and sound, geometric optics, interference and diffraction, electric charge and interaction, electric current, DC Circuits, magnetism, electromagnetic induction, and RC circuits. 3 Credit Hours. Lecture 3 hrs., Studio 1 hr. The following course can be taken concurrently with this course: MCS 2414.
PHY2423
3
Introductory laboratory experiments complementing University Physics 2. 1 Credit Hours. Lab 2 hrs.
PHY2431
1
Three-dimensional analytic geometry. Vectors, vector-valued functions, motions in space, functions of several variables, partial differentiation, multiple integration, integration of vector fields, Green’s Theorem and Divergence Theorem.
MCS2414
4
LLT Elective
LLT2XX3
3
SSC Elective
SSC2XX3
3
Total Credits:
14
Course Name
Course #
Credits
Introduction to concepts of modern physics: interference and diffraction, relativity, photoelectric effect, Heisenberg uncertainty principle, Bohr’s models of the atom, Schrödinger’s wave equations, radioactivity, nuclear reactions, statistical mechanics, condensed matter physics, astrophysics and cosmology. 3 Credit hours. Lecture 3 hrs.
PHY3653
3
Laboratory experiments to complement the material presented in PHY3653. 1 Credit hours. Lab 3 hrs. The following course can be taken concurrently with this course: PHY 3653.
PHY3661
3
Topics include, but are not limited to, solving first and second-order differential equations and first-order linear systems of differential equations by various techniques such as separation of variables, integrating factors, substitution methods, variation of parameters, and Laplace Transforms. Emphasis will be placed on applications of differential equations arising from engineering applications and the natural sciences.
MCS2423
3
Systems of linear equations, matrices, determinants, eigenvalues, eigenvectors, Finite-dimensional vector spaces, linear transformations and their matrices, Gram-Schmidt orthogonalization, inner product spaces. Lecture 3 hrs.
MCS3863
3
Course not found.
COM2103
3
Course not found.
MCS2111
1
General Electives
XXX3
3
Total Credits:
17
Course Name
Course #
Credits
Special Electives
XXX6
6
A study of Newton’s laws of motion applied to particles and systems, with an emphasis on velocity-dependent forces, forced/free/damped oscillations, accelerated/rotating systems, gravitational forces, and Lagrangian. 4 Credit Hours. Lecture 4 hrs.
PHY3414*
4
Course not found.
MCS3413
3
-OR-
Line and surface integrals, Green’s theorem, Stokes’ theorem, Divergence Theorem. Topics from differential and integral calculus theory. Power series solution of differential equations. Bessel functions, Leg endre’s equation. Lecture 3 hrs.
MCS3723
Representation of data, probability, random variables, discrete and continuous distributions, sampling theory, central limit theorem, confidence intervals, tests of statistical hypotheses, regression analysis. Lecture 3 hrs.
MCS3403
3
Total Credits:
16
Course Name
Course #
Credits
Course not found.
PHY3574
4
Course not found.
MCS3523
3
Voltage current, power. Kirchoffs law, Ohms law, resistance independent and dependent sources, operational amplifiers. Formulation and solution of network equations, MathCAD, Spice, linearity and superposition, Thevenins theorems, maximum power transfer. Capacitance, inductance, mutual inductance. Sinusoidal steady state analysis, AC power, three phase systems. Transfer functions, frequency response, Bode diagrams, filters. First order transient responses. Lecture 4 hours. The following courses can be taken concurrently with this course: MCS 2423, PHY 2423.
EEE2114
4
Course not found.
EEE2111
1
This one credit course will focus on programming languages such as Scratch, Python, Javascript, Ruby, R, PHP, C# or Matlab. Students will be expected to work in groups on coding projects that will focus on syntax and semantics with application to a specific language.
MCS1111
1
Course not found.
PSC3002
2
LLT Jr./Sr. Elective
LLT3/4XX3
3
Total Credits:
18
*These courses are offered every two years. An individual plan of work will be developed in consultation with the student’s advisor.
Course Name
Course #
Credits
Course not found.
PHY4763*
3
A theoretical study of the non-relativistic quantum interpretation of matter. Development of wave mechanics, the Schroedinger equation. Formal structure of quantum mechanics. Operators. Solution of one-dimensional and three-dimensional systems. Lecture 4 hrs.
PHY4724*
4
Orthogonality, orthonormal bases, Fourier series, Fourier integral. Solution techniques for first and second order equations. Solutions of homogeneous and non-homogeneous boundary value problems. Sturm-Liouville theory. Lecture 3 hrs.
MCS3733*
3
Senior Project 1
PHY4912
or
MCS4833
2/3
Jr./Sr. Elective
PSY/SSC
XXX3
3
Total Credits:
15/16
Course Name
Course #
Credits
Brief review of atomic theory, crystal structure, binding forces, mechanical and thermal properties, electrical and magnetic properties of diaeletrics, metals, semiconductors and magnetic materials.
PHY4843
3
Course not found.
PHY4743*
3
Course not found.
PHY4781*
1
Students in this journal club will be responsible for leading the discussion on a research paper to a group of students. Students may also be asked to review a research paper that has been submitted for publication and provide a detailed description of why the paper should be accepted, declined, or revised.
MCS4111
1
Senior Project 1
PHY4922
or
MCS4843
2/3
Total Credits:
13/14
*These courses are offered every two years. An individual plan of work will be developed in consultation with the student’s advisor.
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