Department of Mathematics, Engineering, and Computer Science
ENGR 102 Introduction to Engineering* 1 Cr
This course introduces students to engineering opportunities and the
engineering design process. The course is project oriented with assignment
emphasis on teamwork to solve problems. Hands-on projects
include file-folder bridge design and construction, Water-Town design,
reverse engineering Investigation and others. The course reviews the
various areas of engineering and includes an introduction to surveying.
ENGR 104 Engineering Graphics & CAD Applications 3 Cr
An introduction to modern computer drafting and engineering design
using a CAD (computer aided design) software system. Fundamental
concepts of technical drawing in two and three dimensions including
orthographic projections, isometric projections, three-dimensional and
solids modeling, and rendering. Spring Semester.
ENGR 105 GIS/Surveying/CAD* 2 Cr
The course consists of an overview of the engineering profession and
an Introduction to some of the technical tools used by engineers.
Course activities include surveying, a reverse engineering exercise, field
trips, classroom visits by practicing engineers, an introduction to GIS
software and team projects. Students will also become proficient in
using AutoCAD, a computer drafting software.
ENGR 201 Introduction to Engineering 1 Cr
This course introduces students to engineering opportunities and
the engineering design process. The course is project oriented with
assignment emphasis on teamwork to solve problems. The course
reviews the various areas of engineering and includes an introduction
to surveying. Fall semester.
ENGR 202 Water Distribution Systems 1 Cr
An introduction to water distribution theory and design practice. A
project-oriented course that includes water supply, storage, distribution,
and computer analysis of water distribution networks. Spring
ENGR 205 Civil Engineering Materials and Testing 2 Cr
This purpose of this course is for students to learn the properties and
behaviors of various construction materials that are commonly used in
civil engineering projects. Steel, concrete, wood, soil, asphalt, geo-synthetics,
pipes, and other materials are studied and tested. In addition,
students learn some of the standardized testing procedures for these
construction materials. The course is offered every fall semester.
ENGR 302 Engineering Mechanics I: Statics 3 Cr
Equilibrium of bodies under the action of forces. Force systems and
resultants; equilibrium of mechanical systems; trusses, frames, and
machines; centroids and centers of mass; shear and moments in beams;
hydrostatics; friction; and virtual work. Introduction to mechanics of
solids and computer analysis of structures, as time permits. Emphasis
on solving practical engineering problems in complete, documented
style. Prerequisite: Grade of “C” or better in PHYS 205 or permission
of instructor. Spring semester.
ENGR 303 Engineering Mechanics II: Solids 3 Cr
An introduction to the mechanics of deformable solids. Topics covered
include stress, strain, rotation-of-axes transformations, constitutive
relations, equilibrium, compatibility requirements, stability, and
deformation of structural elements. Uni-axial, torsion, bending, and
shear loads on and deformations of prismatic bars are also studied
together with Euler buckling of slender columns. Three credits of
lecture. Prerequisites: Grades of “C” or better in ENGR 302 and MA
232. Fall semester.
ENGR 304 Engineering Mechanics III: Dynamics 3 Cr
Continuation of ENGR 301. Motions of bodies under the action of
forces; kinematics and kinetics of particles, systems of particles, and
rigid bodies; work-energy and impulse-momentum; area and mass moments
of inertia. Emphasis on solving practical engineering problems
in complete, documented style. Prerequisites: Grades of “C” or better
in ENGR 301 and MA 334. Spring semester.
ENGR/PHYS 305 Electronics and Circuit Analysis I 4 Cr
An introductory survey of the behavior of electrical circuits. Review
of current, voltage, and passive circuit elements (resistors, capacitors,
and inductors). Kirchhoff ’s Laws, network theorems, and basic
network analysis. General characteristics of amplifiers and electronic
instrumentation. Introduction to operational amplifiers and active
elements (transistors). Laplace transform analysis of transient (switching)
response, and complex phasor analysis of sinusoidal steady-state
response. Three hours lecture and one 2-hour laboratory per week,
in which students build and test circuits and learn how to use typical
circuit simulation software (PSPICE). Prerequisites: Grades of “C” or
better in PHYS 206, and MA 232 and MA 233. Fall semester.
ENGR /PHYS 306 Electronics and Circuit Analysis II 4 Cr
A continuation of ENGR/PHYS 305. Systematic node-voltage and
mesh-current methods of circuit analysis. Network transfer functions
and frequency spectra. Mutual inductance and transformers. Diode
circuits and the behavior of single-transistor amplifiers using field-effect
or bipolar-junction transistors. Analysis and design of digital logic
circuits. Principles of operation and interfacing of typical laboratory
instruments. Three hours lecture and one 2-hour laboratory per week.
Prerequisite: Grade of “C” or better in ENGR/PHYS 305. Offered
spring semesters if warranted by sufficient demand.
ENGR 307 Fluid Mechanics 3 Cr
A first course in fluid mechanics for engineering majors. Topics covered
include fluid properties, fluid statics, fluid motion, pressure variations
in fluid flows, momentum principles, energy principles, dimensional
analysis and similitude, surface resistance, flow in conduits, flow
measurements, drag, and lift. Two and one-half credits of lecture and
one-half credit of laboratory. Prerequisites: Grades of “C” or better
in MA 232 and ENGR 302. Fulfills Writing Intensive requirement.
ENGR/PHYS 308 Thermodynamics 3 Cr
A practical introduction to thermodynamics for engineering students.
Fundamental state variables are defined (e.g., temperature, pressure,
energy, enthalpy, entropy, etc.), and the three laws of thermodynamics
are extensively discussed and illustrated. Applications include power
systems, gas turbines, and refrigerators. Three hours lecture per week.
Prerequisites: Grades of “C” or better in PHYS 205-206, MA 232 and
MA 233. Spring semester.
ENGR 309 Geotechnical Engineering 3.5 Cr
An introduction to geotechnical engineering. Topics covered include an
introduction to geology and the classifications of soils, and rocks, and
geologic structures. Soil exploration, testing, and classifications are introduced,
and soil characteristics and mechanical properties such as compressibility
and compaction, permeability and seepage, and stresses in soil
structures are also studied. Three credits of lecture and half credit of lab.
Prerequisites: Grades of “C” or better in ENGR 303 and ENGR 307.
ENGR 310 Structures I 3 Cr
This is the first in a series of 3 courses in structural analysis and design.
The primary objective of this course is to introduce the principles and
methods of analysis for trusses, beams, and frames so that students
develop the understanding and the skills necessary to analyze and
design statically determinate as well as statically indeterminate structures.
While emphasis is on modern computer methods of analysis,
elementary methods are also studied so students gain an understanding
and “feel” for the behavior of structures. Prerequisites: Grade of “C”
or better in ENGR 303. Spring Semester.
ENGR 313 Hydrology 3 Cr
This course focuses primarily on the basic principles of the hydrologic
cycle such as precipitation, hydrologic abstractions, catchment properties,
groundwater flow, and the relationships between precipitation,
abstractions, and runoff. A brief portion of the course deals with the
measurement of various components of the hydrologic cycle. The engineering
applications of basic hydrologic principles are studied. The
purpose of this course is to introduce the fundamentals of hydrologic
science, which are used to solve typical engineering problems. Prerequisites:
Grades of “C” or better in MA 131 or MA 121-122 and MA
232, or permission of instructor. Fall semester.
ENGR 323 Water Quality 2 Cr
This course teaches sampling methods, analytical techniques, and
principles associated with environmental engineering applications.
Topics include designing a sampling, groundwater and surface water
sampling, field methods, carbonate equilibrium, isotope applications,
pathogens in public water, and groundwater and surface-water contamination
issues. Students will be guided through these topics with
homework problems, field excursions, assigned readings, handouts,
guest speakers, and exams. Prerequisites: CH 101 or 102 and junior
standing or consent of instructor.
ENGR 324 Air Quality 2 Cr
This course will provide engineering graduates with sufficient background
and tools to understand the principle issues associated with
air quality. They will gain an understanding of the science of air
pollution and the pollutants of concern, including greenhouse gases,
and their chemistry. Students will understand the structure and why
laws were formed and needed to regulate the air industry. Students
will have experience with air-quality monitoring and the equipment
used. Students interested in air quality will be able to be trainable
in air quality methods and evaluations. Prerequisite: MA 232 and
ENGR 325 Hydrogeology* 3 Cr
This course is a basic junior-level hydrogeology course with fundamentals
as the primary focus. Students taking the course will be prepared
to work in industry and solve problems associated with groundwater
resources, environmental clean-up, restoration, and protection of water
rights. An emphasis is placed on applications. For this reason the
course is ideally suited to professionals who work in the Helena area,
such as personnel at DEQ, DNRC, and other state agencies. Topics
include groundwater flow and hydraulic head, aquifer tests and analysis,
including slug testing, water-quality applications are emphasized.
Class activities include weekly homework problems, lectures, applied
problems, exams, and a design project.
ENGR 327 Land and Stream Restoration* 3 Cr
This course strives to provide a knowledge and understanding of
the current land and stream restoration practices. To achieve this
objective, students participate in filed excursions, study earth moving
methods and equipment, analyze soil erosion processes, design
hydrologic control structures, and study revegetation and stream
ENGR 395 Spanning the Ages: The European History of Structures from
Mycenaean Greece through the Industrial Revolution 3cr
This a 16 day study abroad to trace the history of structural design in
Europe from the time of the Mycenaean civilization in Greece (~1600
BC) through the Industrial Revolution (~1850 AD) to include the
Golden Age of Greece, the Roman Empire, the Middle Ages, and the
Renaissance. The course will also study the civilizations and cultures
that persisted during each era of structural advancement through the
period of study. Art, government structures, social structures, and the
economics of Western European civilizations and their interconnections
with advancement of structural designs are also studied, together
with the rise and fall of several empires and cultures in Western Europe.
During the study abroad trip, students visit four major European cities
(Athens, Rome, Paris, and London), as well as less urban areas in Italy
(Florence) and in the United Kingdom (Wales). Students will see Western
Europe in its modern contexts of art, culture, and social structures.
The importance of various structures in the contexts of the history and
modern circumstances in Europe are also studied. Students will also be
guided in developing their international travel skills. The course will
consist of 4 pre-trip preparation classes in April, the study abroad trip,
and the follow-up submission of a travel and study journal together
with an exploration and discovery paper. There are no prerequisites
for this course other than good academic standing. The course is for 3
credits and will satisfy the Global Diversity requirement in the Carroll
College Core. Course to be offered in immediately after the end of the
Spring semester 2010. It may be offered in subsequent years if there is
sufficient demand. Prerequisite: Good academic standing.
ENGR 401 Hydraulics 3 Cr
Hydraulic engineering is the application of fluid mechanic principles
to deal with collection, storage, conveyance, distribution, control,
regulation, measurement, and use of water. This course will focus
primarily on analysis and design of pipelines, pumps, and open channel
flow systems. The course will also have a design project to provide an
opportunity to apply the information in a real engineering situation.
Three class hours per week. Prerequisite: Grade of “C” or better in
ENGR 307 Fluid Mechanics. Fall semester.
ENGR 402 Environmental Engineering 3 Cr
This course focuses on environmental problems, including their causes,
the scientific background needed to understand them, and the methods
used to solve them. The fundamental principles of environmental
engineering, including sources of water and air pollution, water and
wastewater treatment, solid and hazardous waste management, and
regulatory issues are presented. Three class hours per week. Prerequisites:
Grades of “C” or better in CH 101-102 and MA 131 or MA
122. Spring semester.
ENGR 403 Structures II Steel Design 3 Cr
The purpose of this course is to learn the philosophies and methods of
AISC Load and Resistance Factor Design (LRFD) and AISC Allowable
Stress Design (ASD) of steel structures. Emphasis is on the determination
of loads and load distribution, and the design of structural
components (i.e., tension members, compression members, beams, and
beam-columns) and their connections, in accordance with the AISC
Design Specification and the AISC Manual of Steel Construction. The
function and behavior of simple frame structures is also introduced
and each student works on a team to complete a design project. Three
hours of class per week. Prerequisite: A grade of C or better in ENGR
303. Fall semester.
ENGR 405 Water and Wastewater 4 Cr
This course focuses on the fundamental principles for analysis and
design of water processing, water distribution, wastewater collection,
wastewater treatment, and sludge processing systems. Two class hours
and 2 lab hours per week. Prerequisites: Grades of “C” or better in
ENGR 313 and ENGR 401. Spring semester.
ENGR 406 Structures II Reinforced Concrete Design 2 Cr
The purpose of this course is to learn the philosophy and methods of
ACI strength design of reinforced concrete structures. Emphasis is the
design of concrete structural elements including beams, one-way slabs,
and columns. The student works on a team to complete a simple design
project. There are two class hours per week. Prerequisite: Grade of
“C” or better in ENGR 403. Spring semester.
ENGR 407 Transportation Engineering 2 Cr
This is an introductory level transportation-engineering course.
The class will discuss traffic characteristics, transportation planning,
geometric design of highways, drainage design, traffic safety, highway
materials, and pavement design. Three class hours per week. Prerequisites:
MA 131 or MA 121-122. Fall semester.
ENGR 411 Senior Design Project I 2 Cr
This course requires the students, working in teams, to take an actual
engineering project from the initial proposal stage through the preliminary
design phase. Students will conduct the necessary activities
and prepare the various documents needed to complete the preliminary
design. One class hour per week. Fall semester.
ENGR 412 Senior Design Project II 2 Cr
A continuation of ENGR 411, the design process will continue from
the preliminary phase to the completion of a conceptual design of the
project. The students, working in teams, will prepare design criteria,
calculations, and representative engineering drawings of the project’s
major components. A list and general description of the many details
and other miscellaneous activities required to complete the project will
also be prepared. Finally, general cost estimates will be computed. Two
class hours per week. Prerequisite: Grade of “C” or better in ENGR
411. Spring semester.
ENGR 424 Groundwater Flow Modeling 3 Cr
This course provides a hands-on experience in converting hydrogeologic
data, using GIS-like tools, into a simulated groundwater-flow
system, using state-of-the-art software. This course presents sufficient
theory and allows practical application in the lab to correctly
conceptualize, construct, and calibrate groundwater-flow models.
This start-to-finish experience will allow the participant to perform
applications in industry. Prerequisites: ENGR 325 Hydrogeology, or
consent of the instructor.