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Liberty University · Courses

ENGR

128 courses with the subject ENGR, each shown exactly as we captured it from the college's catalog, with every element we hold. Where the wording looks broken, that is our reading of the catalog, not the college's text.

ENGR 102Introduction to Engineering1

This course will introduce students to the engineering profession and the study skills necessary to succeed in the rigorous course of study to achieve an engineering degree. Students will be taught how to think critically and reason analytically in order to skillfully navigate the course of instruction they have chosen to pursue and to be equipped for success in that profession. This is a required course for all engineering majors.

Subject
ENGR
Credits (min)
1
Credits (max)
1
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 105Introduction to Engineering I2

Prerequisite: MATH 128 (may be taken concurrently) or MATH 130 (may be taken concurrently) or MATH 131 (may be taken concurrently) or MATH 132 (may be taken concurrently)

Subject
ENGR
Credits (min)
2
Credits (max)
2
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 110Introduction to Engineering Fundamentals3

Prerequisite: ENGT 130 (may be taken concurrently) or MATH 126 (may be taken concurrently) or MATH 128 (may be taken concurrently) or MATH 131 (may be taken concurrently) or MATH 132 (may be taken concurrently)

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 115Introduction to Engineering II2

Prerequisite: ENGR 105 and (MATH 128 (may be taken concurrently) or MATH 130 (may be taken concurrently) or MATH 131 (may be taken concurrently) or MATH 201 (may be taken concurrently) or MATH 217 (may be taken concurrently))

Subject
ENGR
Credits (min)
2
Credits (max)
2
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 125Visualization for Engineers1

Prerequisite: ENGR 110

Subject
ENGR
Credits (min)
1
Credits (max)
1
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 133Calculus with MATLAB1

Prerequisite: MATH 131 (may be taken concurrently)

Subject
ENGR
Credits (min)
1
Credits (max)
1
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 200Engineering Design Competition1

ENGR 200 helps students in a competition team develop a project management skill and learn system engineering design approach reflecting CreationeeringTM to prepare for an engineering design competition. Students will contribute to design and fabrication tasks, writing interim (progressive reports) and final reports.

Subject
ENGR
Credits (min)
1
Credits (max)
1
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 202Introduction to Creationeering3

This course aims to educate the student in the Creationeering paradigm. The three primary elements of Creationeering are: 1. Creator-inspired design, 2. Creator-revealed engineering, 3. Creator-led entrepreneurship. If you want to learn more about our Creator & discover how He inspires us to design and create new products and businesses, this class is for you.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 210Probability and Statistical Methods for Engineering3

Resident Prerequisite: ((CSCI 110 or CSIS 110 or ENGR 110 or ENGR 115) and MATH 131 )

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 235Statics3

Prerequisite: PHYS 231

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 240Dynamics3

Prerequisite: ENGR 235

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 245High Performance Computing3

Linux Programming High performance computing exposes students to high performance computing (HPC) environments, which include an overview of typical HPC software/hardware, the Linux operating system, and an introduction to scripting/programming and management software. Students will study typical HPC environments and explore uses of these complex systems in business and research. Students will also have opportunities to interact with, design, and develop activities on an HPC system. • Building the box - Assembling the hardware & network • OS installation • Mini Introduction to the Linux OS (CentOS) • Introduction to Fortran, C, Python • Parallel computing • Programming and simulations

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 270Technical Communication3

Prerequisite: ENGL 101

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 277Engineering Ethical and Legal Issues3

Prerequisite: (BWVW 102 or GNED 102) or (BWVW102 Exempt with a score of 5)

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 299Internship0

Professional internship providing opportunity for controlled learning experience specific to engineering disciplines. Enrollment specific to international students (F-1 Status) requiring Curricular Practical Training (CPT) endorsement (I-20 work authorization). Application components processed concurrently through School of Engineering and International Student Center. Candidates must apply semester prior to internship.

Subject
ENGR
Credits (min)
0
Credits (max)
0
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 313Mechatronics4

Prerequisite: MATH 231 and (MATH 234 or MATH 334) and PHYS 231 and PHYS 232

Subject
ENGR
Credits (min)
4
Credits (max)
4
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 315Fluid Dynamics3

Resident Prerequisite: MATH 231 and ENGR 235

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 320Thermodynamics3

Prerequisite: MATH 231 and PHYS 231

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 330Mechanics of Materials3

Prerequisite: ENGR 235

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 360Heat Transfer3

Prerequisite: (ENGR 320 or PHYS 320) and (MATH 234 or MATH 334)

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 370Quality Assurance3

Resident Prerequisite: ENGR 210 or (MATH 201 and (ENGT 130 or MATH 126))

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 381Introduction to Optimum Design3

Resident Prerequisite: ENGR 210 and MATH 131 and MATH 132 and MATH 231 and PHYS 231 and PHYS 232

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 385Thermodynamics II3

Prerequisite: ENGR 320 or PHYS 320

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 391Missions Engineering3

Prerequisite: (MATH 234 or MATH 334) and ENGR 110

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 405Dynamic Systems Modeling3

Prerequisite: ENGR 240 and MATH 231 and (MATH 234 or MATH 334)

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 444God, Science, and Creation3

Prerequisite: ((MATH 126 or MATH 131) and (PHYS 201 or PHYS 231))

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 470Technology and Business Development Practicum I3

Prerequisite: BUSI 336 and BUSI 338 and ENGR 102 and ENGI 220

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 475Technology and Business Development Practicum II3

Prerequisite: ENGR 470

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 481Engineering Design I3

Resident Prerequisite: Computer Engineering Gate Req with a score of 5 or Electrical Engineerng Gate Req with a score of 5 or Indust Sys Engineer Gate Req with a score of 5 or Mechanical Engineer Gate Req with a score of 5 or Civil Engineering Gate Req with a score of 5

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 482Engineering Design II3

Resident Prerequisite: ENGR 481

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 495Directed Research3

Research-oriented project or an independently completed course of study in a specially designed area as approved and supervised by the instructor. May be repeated for up to 6 credits or as approved by the department chair.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Repeatable
May be repeated for up to 6 credits or as approved by the department chair.
Edition
2026
Source
catalog.liberty.edu
ENGR 497Special Topics in Engineering1-3

Offered: Residential

Subject
ENGR
Credits (min)
1
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 499Internship3

Professional internship providing opportunity for controlled learning experience specific to engineering disciplines and student’s chosen specialization. Applications are reviewed by Faculty Intern Advisor and processed through the School. Candidates must apply semester prior to internship.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 500Systems Engineering3

The course examines the principles of systems engineering, with emphasis on their application throughout the life cycle. Methodology is based on a total systems view of the user.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 501Numerical Methods3

Numerical solution of equations; error analysis; finite difference methods; numerical differentiation and integration; series expansions; difference equations; numerical solution of differential equations.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 503Advanced Differential Equations3

This course will provide general numerical methods for systems of nonlinear ordinary and partial differential equations (methods for stiff systems; basic theory in the finite difference and finite element methods; methods for parabolic, hyperbolic, and elliptic equations; analysis of stability and convergence; error estimates; current literature).

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 504Ordinary Differential Equations3

General single-step, multistep, multi-value, and extrapolation methods for systems of nonlinear equations; convergence; error bounds; error estimates; stability; methods for stiff systems; current literature.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 505Finite Element Analysis3

Introduction to the mathematical theory, formulation, and computer implementation of the finite element method. Application to one-and two-dimensional problems in engineering mechanics.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 507Fundamentals of Mechanics3

The aim of this course is to educate the student in the areas of 1) statics, 2) dynamics, and 3) strength of materials. The content will include Newton’s Laws, forces, moments, torques, free body diagrams, equilibrium, kinematics of motion, velocity, acceleration, energy, momentum, stress, strain, and constitutive relationships.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 511Linear Optimal Control3

This course discusses modern advanced graduate level control engineering techniques such as vector random process, robust stability and performance test, linear-quadratic regulator, and the linear-quadratic Gaussian controller design. The method is to provide a means of incorporating frequency domain specifications into control system designs.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 512Computing Languages (Python, MATLAB, C, C++, Fortran)3

An introduction to programming language (Python, Matlab, C, C++, Fortran) specification and analysis. Additional topics include control structures, data types, and structures, run-time environments, binding strategies, compilers, and interpreters.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 514PLC Programming3

This course integrates fundamental concepts in Cyber-Physical Systems (CPS) Engineering and Programmable Logic Controllers (PLCs) with an emphasis on design and application to factory automation and process control.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 515User Interface Design for Embedded Systems3

This course introduces fundamental design principles relevant to the design of the human interface to embedded systems. The major topics to be discussed include universal design principles, user research methods, the characteristics of tasks supported by embedded systems, user interface design process, and methods for evaluating an interface design.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 516Engineering Analysis of Transient Data3

This course aims to empower engineers to analyze and make conclusive assessments on the sufficiency and character of data streams from transient experiments and simulations. A myriad of mathematical tools and algorithms for data processing and analysis will be demonstrated. Successful students will be armed with the appropriate foundation to determine how and when to draw distilled and meaningful conclusions from volumes of seemingly random information.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 517Advanced Thermodynamics3

Postulational treatment of the physical laws of equilibrium, thermostatics. Equations of state, processes, equilibrium stability, reactive systems, phase transitions.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 519Advanced Data Analysis and Machine Learning3

Machine learning introduces and emphasizes the methods that are used to provide computers the ability to perform various levels of artificial intelligence (AI) with the ability to learn without being explicitly programmed. Machine learning focuses on the development of computer programs and algorithms as well as the underlying data requirements that can enable computers to teach themselves, self-organize objects, and to grow or change when exposed to new data or sensory information.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 520Law for Engineers3

This course includes the study of contracts, Intellectual property law, patents, copyright, trademark, trade secrets, ethics and other legal matters important to engineers.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 521Advanced Heat Transfer3

Condensation and boiling, analytical and numerical techniques for conduction and convection, gray-body and spectral-dependent radiation, transient and steady-state thermal modeling.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 525Continuum Mechanics3

An introduction to the general theory of continuous media and its application to the theories of elasticity and fluid mechanics.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 527Advanced Mechanics of Materials3

Stress, strain, stress-strain relationships, strain energy, failure theories, curved beams, unsymmetrical bending, shear center, torsion of noncircular sections, energy principles, Castigliano's theorem, inelastic behavior.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 531Advanced Electromagnetics3

This course covers contemporary topics in advanced engineering electromagnetics. This includes topics relevant to electromagnetic field theory, radar systems, RF/microwave engineering, antenna design, and electromagnetic compatibility.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 541Inelasticity3

This course covers plasticity, creep, viscoelasticity, and inelastic behavior in relation to microstructure-property relations, constitutive modeling at different length scales, and computational simulations.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 543Damage and Fracture3

History of fracture and development of fracture mechanics principles. Linear elastic and elastic-plastic stress analysis of cracked bodies. ASTM standards and applications.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 544God, Science, and Creation3

This course aims to help the student unite the areas of God, Engineering, Math, and Science to integrate the Christian worldview in all engineering design and management decisions. Hence, we focus on various science areas (physics, biology, geology, etc.), engineering, and math to realize our goal.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 545Fatigue3

Prediction and prevention of fatigue failure in metallic material.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 547Phase Transformations3

Stress, strain, stress-strain relationships, strain energy, failure theories, curved beams, unsymmetrical bending, shear center, torsion of noncircular sections, energy principles, Castigliano's theorem, inelastic behavior.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 550Human Factors and Ergonomics3

Human biological and psychological capabilities and limitations in the industrial setting. Topics include techniques and methods for applying the principles of human factors engineering and ergonomics to system design.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 555Industrial Ergonomics3

This course will teach students the principles of industrial ergonomics. It focuses on physical ergonomics and ergonomic assessment tools. At the end of the course students will have used the most common ergonomic assessment tools and will be able to assess the risk of musculoskeletal injuries.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 565Introduction to Computer Networks3

Emphasis is placed on network transport services and key protocols to include TCP, IP, and UDP. Topics include application of network design and implementation of robust performance based computer networks, and an introduction to wireless and mobile networks.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 590Strategic Planning3

Students will focus on strategic planning and goal setting and how external environments and internal dynamics affect the planning process.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 595Directed Individual Study in Engineering3

Research-oriented project or an independently completed course of study in a specially designed area as approved and supervised by the instructor. May be repeated for up to 6 credits.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Repeatable
May be repeated for up to 6 credits.
Edition
2026
Source
catalog.liberty.edu
ENGR 596Research Process Fundamentals3

This course trains graduate engineering students in the fundamentals of conducting research, encompassing fundamental research, applied research, and prototyping activities. Students will learn to systematically define a research problem, formulate a working hypothesis, and design a research plan. The course culminates in a conference-style oral presentation (20 minutes) and a draft journal article ("first cut") based on the student's research findings. Throughout the course, students will develop essential skills for effective technical communication, both written and oral, and will gain experience in working professionally with research advisors. Upon successful completion, students will have a strong foundation in conducting research, writing journal articles, delivering technical presentations, and navigating advisor-student collaborations.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 597Special Topics in Engineering3

Title to be arranged. This course is to be used on a limited basis to offer developing subject matter areas not covered in existing courses. (Courses limited to two offerings under one title within two academic years).

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 604Managing Change and Innovation3

This course examines the concepts and approaches to leading for innovation and change within diverse and complex organizations and systems – focusing on application to both manufacturing and service sectors.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 606Computational Fluid Dynamics3

Elementary aspects of computational fluid dynamics (CFD); review of numerical analysis and fluid mechanics as pertinent to CFD; numerical solution to selected fluid dynamic problems.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 608Multiphase Flows3

The aim of this course is to educate the student about the many facets of jointly flowing immiscible phases, in terms of 1) physics, 2) applications, and 3) simulations. The content will span the four possible combinations of gas-liquid (g-l), liquid-solid (l-s), gas-solid (g-s), and gas-liquid-solid (g-l-s). In the case of solids, the focus is on the behavior of particulate matter as an aggregate and not solid mechanics. For the first three (g-l, l-s, and g-s), course material will cover both volume fraction extrema e.g., nearly all gas g-l and nearly all liquid g-l. Interphase turbulence will be discussed.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 609Advanced Compressible Flows3

The aim of this course is to educate the student about the diverse world of compressible flows with respect to 1) physics, 2) applications, and 3) simulations. We will discuss foundations subjects, such as shock waves and the effects of friction and heat transfer. Additionally, we will address complex components of compressible flows, including shock-capturing in CFD along with shock-turbulence interactions. Material in this course will synergize with other graduate course offerings at LU, most specifically advanced thermodynamics, computational fluid dynamics, and the physics and modeling of turbulence.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 610Physics and Modeling of Turbulence3

This course will demystify “turbulence” and train students in the art of turbulence assessment and quantification. We will provide a foundation in the nature of turbulence, along with an appreciation of the impacts of turbulence in nearly limitless fluid mechanics scenarios.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 615Bio-Inspired Design3

Provides an overview of non-conventional mechanical approaches in nature and shows how this knowledge can lead to more creativity in mechanical design and to better (simpler, smaller, more robust) solutions than with conventional technology.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 616Design Optimization3

Introduction to optimality criteria and optimization techniques for solving constrained or unconstrained optimization problems. Sensitivity analysis and approximation. Computer application in optimization. Introduction to MDO.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 622Cyber-Physical Systems Engineering3

Cyber-physical systems (CPS) are engineered systems that are built from, and depend upon, the seamless integration of computation and physical components. The integration of artificial intelligence with CPS, especially for real-time operation, creates new research opportunities with major societal implications. This course is not feasible for remote students.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 624Robotics Software Engineering3

This course integrates fundamental concepts in Cyber-Physical Systems (CPS) Engineering and Robotics with an emphasis on the design and development of software applications for robotics systems control and development. This course is not feasible for Remote Students.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 631Composite Materials3

Stress, strain, constitutive relations for anisotropic material, lamina properties, laminate properties, composite beams and plates.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 633Polymers and Polymer Nanocomposites3

To provide an introductory exposition to the composition-process-structure-property relationships related to polymers and polymer nanocomposites. This course will be divided in two parts: (I) starting with a review on electron configuration and bonding, the first part will cover polymer chemistry, structure, and configuration. Mechanical, electrical, optical, thermal, magnetic, ion transport, and other properties of polymers will be discussed. (II) The second part of the course will focus solely on polymer nanocomposites, particularly on, (a) the multiplicative contributions of matrix and dispersed phases, and (b) the factors that affect the interaction between the two phases: dispersion, interfacial region, solubility, loading, size and geometrical effects. Applications and manufacturing processes for PNCs will be outlined as well.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 635Materials Processing Methods3

The fundamental linkages between processing, structure and properties will be addressed with emphasis on micro- and nano-structural impacts on properties.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 637Materials Characterization Methods (SEM, OM)3

Characterization of advanced material behaviors for pavement subgrades, bases and surface courses, Stress dependency, viscoelasticity, repeated load moduli, and stabilization are central behaviors of interest.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 639Mechanical Metallurgy3

The mechanical and metallurgical fundamentals of metals are discussed. Mechanical fundamentals cover the stress and strain relationships and metallurgical fundamentals cover the Microstructure.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 643Statistical Analysis for Engineering Operations3

This course introduces statistical analysis tools and techniques foundational to excellence in engineering operations. Students will gain the knowledge base and skill set needed to apply improvement and control processes such as Six Sigma and Lean.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 651Integrated Computational Materials Engineering (ICME)3

Survey course of various length scale computational analysis related to materials modeling. Emphasis upon projects and exercises.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 652Six Sigma and Lean for Engineering Operations3

Prerequisite: ENGR 643

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 685M.S. Thesis Proposal in Engineering0

Students will submit a thesis proposal for approval and give an oral presentation of their research to their committee members.

Subject
ENGR
Credits (min)
0
Credits (max)
0
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 687Thesis Research in Engineering3

Thesis research and proposal development.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 688Thesis Research in Engineering6

Thesis research and proposal development.

Subject
ENGR
Credits (min)
6
Credits (max)
6
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 689Thesis Research in Engineering9

Thesis research and proposal development.

Subject
ENGR
Credits (min)
9
Credits (max)
9
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 690Thesis Defense in Engineering0

Prerequisite: ENGR 685

Subject
ENGR
Credits (min)
0
Credits (max)
0
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 695Directed Research3

Offered: Residential

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 701Numerical Methods3

Numerical solution of equations; error analysis; finite difference methods; numerical differentiation and integration; series expansions; difference equations; numerical solution of differential equations.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 703Advanced Differential Equations3

This course will provide general numerical methods for systems of nonlinear ordinary and partial differential equations (methods for stiff systems; basic theory in the finite difference and finite element methods; methods for parabolic, hyperbolic, and elliptic equations; analysis of stability and convergence; error estimates; current literature).

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 704Ordinary Differential Equations3

General single-step, multistep, multivalue, and extrapolation methods for systems of nonlinear equations; convergence; error bounds; error estimates; stability; methods for stiff systems; current literature.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 705Finite Element Analysis3

Introduction to the mathematical theory, formulation, and computer implementation of the finite element method. Application to one-and two-dimensional problems in engineering mechanics.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 707Fundamentals of Mechanics3

The aim of this course is to educate the student in the areas of 1) statics, 2) dynamics, and 3) strength of materials. The content will include Newton’s Laws, forces, moments, torques, free body diagrams, equilibrium, kinematics of motion, velocity, acceleration, energy, momentum, stress, strain, and constitutive relationships.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 711Linear Optimal Control3

This course discusses modern advanced graduate level control engineering techniques such as vector random process, robust stability and performance test, linear-quadratic regulator, and the linear-quadratic Gaussian controller design. The method is to provide a means of incorporating frequency domain specifications into control system designs.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 712Computing Languages (Python, MATLAB, C, C++, Fortran)3

An introduction to programming language (Python, MATLAB, C, C++, Fortran) specification and analysis. Additional topics include control structures, data types, and structures, run-time environments, binding strategies, compilers, and interpreters.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 714PLC Programming3

This course integrates fundamental concepts in Cyber-Physical Systems (CPS) Engineering and Programmable Logic Controllers (PLCs) with an emphasis on design and application to factory automation and process control.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 717Advanced Thermodynamics3

Postulational treatment of the physical laws of equilibrium, thermostatics. Equations of state, processes, equilibrium stability, reactive systems, phase transitions.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 721Advanced Heat Transfer3

Condensation and boiling, analytical and numerical techniques for conduction and convection, gray-body and spectral-dependent radiation, transient and steady-state thermal modeling.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 725Continuum Mechanics3

An introduction to the general theory of continuous media and its application to the theories of elasticity and fluid mechanics.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 727Advanced Mechanics of Materials3

Stress, strain, stress-strain relationships, strain energy, failure theories, curved beams, unsymmetrical bending, shear center, torsion of noncircular sections, energy principles, Castigliano's theorem, inelastic behavior.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 731Advanced Electromagnetics3

This course covers contemporary topics in advanced engineering electromagnetics. This includes topics relevant to electromagnetic field theory, radar systems, RF/microwave engineering, antenna design, and electromagnetic compatibility.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 741Inelasticity3

This course covers plasticity, creep, viscoelasticity, and inelastic behavior in relation to microstructure-property relations, constitutive modeling at different length scales, and computational simulations.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 743Damage and Fracture3

History of fracture and development of fracture mechanics principles. Linear elastic and elastic-plastic stress analysis of cracked bodies. ASTM standards and applications.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 745Fatigue3

Prediction and prevention of fatigue in metallic material.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 747Phase Transformations3

Stress, strain, stress-strain relationships, strain energy, failure theories, curved beams, unsymmetrical bending, shear center, torsion of noncircular sections, energy principles, Castigliano's theorem, inelastic behavior.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 795Directed Individual Study in Engineering3

Research-oriented project or an independently completed course of study in a specially designed area as approved and supervised by the instructor. May be repeated for up to 6 credits.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Repeatable
May be repeated for up to 6 credits.
Edition
2026
Source
catalog.liberty.edu
ENGR 796Graduate Orientation/Seminar Series3

Course provides a graduate program orientation and lecture series which includes visiting lecturers.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 797Special Topics in Engineering3

Title to be arranged. This course is to be used on a limited basis to offer developing subject matter areas not covered in existing courses. (Courses limited to two offerings under one title within two academic years).

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 798Teaching Practicum in Engineering3

Ph.D. Graduate student teaches an undergraduate engineering course with faculty guidance.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 806Computational Fluid Dynamics3

Elementary aspects of computational fluid dynamics (CFD); review of numerical analysis and fluid mechanics as pertinent to CFD; numerical solution to selected fluid dynamic problems.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 808Multiphase Flows3

The aim of this course is to educate the student about the many facets of jointly flowing immiscible phases, in terms of 1) physics, 2) applications, and 3) simulations. The content will span the four possible combinations of gas-liquid (g-l), liquid-solid (l-s), gas-solid (g-s), and gas-liquid-solid (g-l-s). In the case of solids, the focus is on the behavior of particulate matter as an aggregate and not solid mechanics. For the first three (g-l, l-s, and g-s), course material will cover both volume fraction extrema e.g., nearly all gas g-l and nearly all liquid g-l. Interphase turbulence will be discussed.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 809Advanced Compressible Flows3

The aim of this course is to educate the student about the diverse world of compressible flows with respect to 1) physics, 2) applications, and 3) simulations. We will discuss foundations subjects, such as shock waves and the effects of friction and heat transfer. Additionally, we will address complex components of compressible flows, including shock-capturing in CFD along with shock-turbulence interactions. Material in this course will synergize with other graduate course offerings at LU, most specifically advanced thermodynamics, computational fluid dynamics, and the physics and modeling of turbulence.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 810Physics and Modeling of Turbulence3

This course will demystify “turbulence” and train students in the art of turbulence assessment and quantification. We will provide a foundation in the nature of turbulence, along with an appreciation of the impacts of turbulence in nearly limitless fluid mechanics scenarios.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 815Bio-Inspired Design3

Provides an overview of non-conventional mechanical approaches in nature and shows how this knowledge can lead to more creativity in mechanical design and to better (simpler, smaller, more robust) solutions than with conventional technology.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 816Design Optimization3

Introduction to optimality criteria and optimization techniques for solving constrained or unconstrained optimization problems. Sensitivity analysis and approximation. Computer application in optimization. Introduction to MDO.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 822Cyber-Physical Systems Engineering3

Cyber-physical systems (CPS) are engineered systems that are built from, and depend upon, the seamless integration of computation and physical components. The integration of artificial intelligence with CPS, especially for real-time operation, creates new research opportunities with major societal implications. This course is not feasible for remote students.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 824Robotics Software Engineering3

This course integrates fundamental concepts in Cyber-Physical Systems (CPS) Engineering and Robotics with an emphasis on the design and development of software applications for robotics systems control and development. This course is not feasible for Remote Students.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 831Composite Materials3

Stress, strain, constitutive relations for anisotropic material, lamina properties, laminate properties, composite beams and plates.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 833Polymers and Polymer Nanocomposites3

To provide an introductory exposition to the composition-process-structure-property relationships related to polymers and polymer nanocomposites. This course will be divided in two parts: (I) starting with a review on electron configuration and bonding, the first part will cover polymer chemistry, structure, and configuration. Mechanical, electrical, optical, thermal, magnetic, ion transport, and other properties of polymers will be discussed. (II) The second part of the course will focus solely on polymer nanocomposites, particularly on, (a) the multiplicative contributions of matrix and dispersed phases, and (b) the factors that affect the interaction between the two phases: dispersion, interfacial region, solubility, loading, size and geometrical effects. Applications and manufacturing processes for PNCs will be outlined as well.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 835Materials Processing Methods3

The fundamental linkages between processing, structure and properties will be addressed with emphasis on micro- and nano-structural impacts on properties.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 837Materials Characterization Methods (SEM, OM)3

Characterization of advanced material behaviors for pavement subgrades, bases and surface courses, Stress dependency, viscoelasticity, repeated load moduli, and stabilization are central behaviors of interest.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 839Mechanical Metallurgy3

The mechanical and metallurgical fundamentals of metals are discussed. Mechanical fundamentals cover the stress and strain relationships and metallurgical fundamentals cover the microstructure.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 851Integrated Computational Materials Engineering (ICME)3

Survey course of various length scale computational analysis related to materials modeling. Emphasis upon projects and exercises.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 980Ph.D. Qualifying Exam in Engineering0

Students will complete a written and/or oral qualifying exam.

Subject
ENGR
Credits (min)
0
Credits (max)
0
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 985Ph.D. Dissertation Proposal in Engineering0

Prerequisite: ENGR 980

Subject
ENGR
Credits (min)
0
Credits (max)
0
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 987Dissertation Research in Engineering3

Dissertation research and proposal development.

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 988Dissertation Research in Engineering6

Dissertation research and proposal development.

Subject
ENGR
Credits (min)
6
Credits (max)
6
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 989Dissertation Research in Engineering9

Dissertation research and proposal development.

Subject
ENGR
Credits (min)
9
Credits (max)
9
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 990Dissertation Defense in Engineering0

Prerequisite: ENGR 980 and ENGR 985

Subject
ENGR
Credits (min)
0
Credits (max)
0
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu
ENGR 995Directed Research3

Offered: Residential

Subject
ENGR
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hour(s)
Type
course
Edition
2026
Source
catalog.liberty.edu

Source: Liberty University's catalog, linked per course · table learning_unit · CourseShelf publish 59