Mathematics, Pre-Engineering Emphasis (MATPE.BS)

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Mathematical Sciences

This mathematics program track prepares students for graduate study and careers in engineering. A partnership with Tennessee Technological University currently enables students to complete three years at Lee and two years at Tennessee Tech to earn dual bachelor’s degrees in math and engineering.

Degree Checklist

For a check list of all courses required for this degree program and a suggested four-year sequence of study, please click on the link below.

Specialty Area Requirements* - Total Hours 36

CSCI 261 - Introduction to Programming Credit Hours: 3

An introduction to scientific and mathematical programming with MATLAB. The primary emphasis is on the development and implementation of algorithms that solve practical scientific problems using MATLAB. Topics include vectors, matrices, selection statements, loop statements, data structures, and advanced functions. Computer-assisted instruction.

Prerequisites

MTHS-261
MTHS 261 - Calculus I Credit Hours: 4

Definition and formulas, rate of change, derivatives, and application of functions. The study and application of indefinite and definite integrals.

Prerequisites

MTHS-161 with a minimum grade of C-, or equivalent course work.
MTHS 262 - Calculus II Credit Hours: 4

Applications of basic integration, advanced methods of integration, sequences and series, parametric equations and polar coordinates.

Prerequisites

MTHS-261 with a minimum grade of C-.
MTHS 361 - Calculus III Credit Hours: 4

Vectors and vector calculus, partial derivatives, gradients, double and triple integrals, centroids, cylindrical and spherical coordinates, line integrals, surface integrals, and Stoke's theorem.

Prerequisites

MTHS-262 with a minimum grade of C-.
MTHS 350 - Logic and Sets Credit Hours: 3

A cohesive treatment of foundational mathematics including the topics of elementary mathematical logic, mathematical proof, set theory, relations, and functions.

Prerequisites

MTHS-261 with a minimum grade of C-.
MTHS 371 - Introduction To Linear Algebra Credit Hours: 3

An introduction to the algebra of matrices, vectors, determinants, solutions of systems of linear equations, vector spaces, linear transformations, Eigenvectors, Eigenvalues and canonical forms.

Prerequisites

MTHS-261 with a minimum grade of C-.
MTHS 335 - Mathematical Probability Credit Hours: 3

This course is intended to provide students with a rigorous mathematical foundation for the analysis of uncertainty and to equip students with a working knowledge of the theory of probability.

Prerequisites

MTHS-262
MTHS 363 - Differential Equations Credit Hours: 3

First order and simple higher order differential equations with applications, linear differential equations, systems of DE, Laplace transform, series solutions and numerical methods.

Prerequisites

MTHS-262 with a minimum grade of C-; MTHS-361 strongly recommended.
MTHS 365 - Mathematical Modeling Credit Hours: 3

Systems dynamic modeling, including discrete dynamical systems, stochastic processes, feedback loops, difference equations, and recurrence relations.  Computer-assisted instruction.

Prerequisites

MTHS-261 with a grade of B- or better, or equivalent course work

 

MTHS 461 - Real Analysis Credit Hours: 3

A rigorous introduction to the foundations of real analysis: real numbers, sequences, limits, continuity, differentiation, integration, and series. The emphasis is on establishing and correlating the various properties rather than numerical problem solving.

Prerequisites

MTHS-262 and MTHS-350 with a minimum grade of C- .

OR

MTHS 475 - Abstract Algebra Credit Hours: 3

An introduction to the basic concepts of abstract algebra, including the topics of mapping, relations, number systems, groups, rings, fields, and integral domains.

Prerequisites

MTHS-262 and MTHS-350 with a minimum grade of C-.

 

MTHS 495 - Mathematics in Faith and Practice Credit Hours: 3

Senior Capstone course for majors.  Comparative study of related scientific, philosophical, and theological ideology within mathematics.  Through lecture, research papers, and guided class discussion, an attempt is made to demonstrate the necessity and possibility of harmonizing mathematics and biblical truth.  Students are encouraged to develop a philosophy of mathematics which integrates a statement of faith.

Prerequisites

THEO-231, and a minumum of 18 credit hours within the major including MTHS-350.

Collateral Requirements* - Total Hours 31

CHYS 161 - General Chemistry I Credit Hours: 4

Matter and measurement, early atomic theory, nomenclature, stoichiometry, aqueous reactions, thermochemistry, electronic structure, periodic properties, chemical bonding theories, molecular geometry, gases, intermolecular forces, liquids and solids are studied. Requires co-requisite enrollment in CHYS-161L.

Prerequisites

ACT Math score of 24 or above (or SAT equivalent), or completion of MTHS-161 or higher.
CHYS 162 - General Chemistry II Credit Hours: 4

Properties of solutions, reaction rates, chemical kinetics, equilibria, acid/base equilibria, solubility, electrochemistry, thermodynamics, radioactivity and nuclear chemistry, transition metal chemistry are studied. Requires co-requisite enrollment in CHYS-162L.

Prerequisites

CHYS-161 with a grade of C- or better.
PHYS 261 - General Physics I Credit Hours: 4

A study of the fundamentals of the classical and relativistic motion of electrically-neutral, macroscopic objects, primarily entailing the concepts of energy, momentum, and force.  Requires co-requisite enrollment in PHYS-261L.

Prerequisites

MTHS-261.
PHYS 262 - General Physics II Credit Hours: 4

A study of the fundamentals of the classical motion of electrically-charged, macroscopic objects and the quantized motion of electrically-uncharged, microscopic particles - both entailing the concepts of energy, momentum, and force.  Requires co-requisite enrollment in PHYS-262L and PHYS-262S (Service Learning).

Prerequisites

PHYS-261 with grade of C- or better.
ENGR 361 - Statics Credit Hours: 3

The application of classical physics principles to study the static equilibrium configurations of rigid bodies. This course emphasizes the proper utilization of vector algebra and free body diagrams to solve problems in engineering statics including vector algebra/calculus of forces and moments, free body diagrams and equilibrium of particles and rigid bodies, centroids and centers of gravity, internal forces in trusses and frames, friction and applications to machines, and moments of inertia.

Prerequisites

PHYS-261
ENGR 362 - Dynamics Credit Hours: 3

A study of Newtonian 2D and 3D motion of particles, systems of particles, and rigid bodies under the action of a net force. Oscillating systems are also addressed.

Prerequisites

PHYS-261 with a grade of C- or better.
ENGR 364 - Fluid Mechanics Credit Hours: 3

A study of the statistical modeling, statics, and dynamics of constrained and unconstrained fluids, using energy and momentum conservation.

Prerequisites

PHYS-261 with a grade of C- or better.
ENGR 371 - Electrical Circuits Credit Hours: 3

Introduction to analog circuits (composed of resistors, capacitors, inductors, and operational amplifiers), application of Ohm's and Kirchhoff's laws and Thevenin and Norton theorems to those circuits, and simulation of circuit design.

Prerequisites

MTHS-262, MTHS-371, MTHS-363, and PHYS-262 with a grade of C- or better.
ENGR 375 - Computational Physics Credit Hours: 3

A study of the techniques of numerical computer programming and the application of various numerical methods to solving problems in classical and modern physics.

Prerequisites

PHYS-261 with a grade of C- or better.