Major in Engineering (B.A./B.S. Dual-Degree)
CHE 113
CHE 113D
General Chemistry I
and General Chemistry I Lab
4
COS 205Scientific Computing3
ENR 260Careers in Engineering and Physics Seminar1
MAT 124MCalculus 14
MAT 125Calculus 24
MAT 222Differential Equations3
MAT 223Multivariable Calculus3
PHY 292
PHY 292D
General Physics I
and General Physics I Lab
4
PHY 296
PHY 297
General Physics II
and General Physics II Lab
4
ENR 352
ENR 353
Computer Methods in Physics and Engineering
and Computer Methods in Physics and Engineering Lab
3-4
or MAT 344 Numerical Methods
Choose 12 hours of electives from the following:12
General Chemistry II
and General Chemistry II Lab 2
Organic Chemistry I
and Organic Chemistry I Lab 2
Organic Chemistry II
and Organic Chemistry II Lab 2
Statics and Mechanics of Materials
Mathematical Methods in Physics and Engineering
Fluid Mechanics
and Fluid Mechanics Lab
Materials and Devices
and Materials and Devices Lab
Topics in Applied Physics and Engineering
Linear Algebra
Probability and Statistics
Electronics
and Electronics Lab
Modern Physics
and Modern Physics Lab
Mechanics
Major *45-46
General Education49-50
Electives 126-28
Total Credits122

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B.A. in Engineering 2018-2019: Option 1 - CWILT

First Year
FallCreditsInterimCreditsSpringCredits
PHY 292
PHY 292D
General Physics I and General Physics I Lab
4GES 125 Introduction to the Creative Arts4PHY 296
PHY 297
General Physics II and General Physics II Lab
4
MAT 124M Calculus 14 MAT 125 Calculus 24
BIB 101 Introduction to the Bible3 GES 130 Christianity Western Culture4
GES 140 Introduction to Wellbeing3 GES 160 Inquiry Seminar3
 14 4 15
Second Year
FallCreditsInterimCreditsSpringCredits
COS 205 Scientific Computing3THE 201 Christian Theology3MAT 222 Differential Equations3
MAT 223 Multivariable Calculus3 PHY 312
PHY 313
3 Modern Physics and Modern Physics Lab
4
ENR 260 Careers in Engineering and Physics Seminar1 ENR 352
ENR 353
(or elective)2 Computer Methods in Physics and EngineeringComputer Methods in Physics and Engineering Lab
4
PHY 302
PHY 303
3 Electronics and Electronics Lab
4 Contemporary Western Life and Thought (L) course 3
Second Language (S) course1 4  
 15 3 14
Third Year
FallCreditsInterimCreditsSpringCredits
CHE 113
CHE 113D
General Chemistry I and General Chemistry I Lab
4Comparative Systems (G) course 3Science, Technology, and Society (K) course 3
ENR 3203 Mathematical Methods in Physics and Engineering4 Contemporary Christian Issues (P) course 3
World Cultures (U) course 3 Interpreting Biblical Themes (J) course 3
MAT 344 (or elective)2 Numerical Methods3 Electives (Physics or Engineering course recommended) 5
Cross-Cultural Experience (Z) course 0-3 Artistic Experience (A) course 0-3
Leisure and Lifetime Sports (Q) course 1  
 15-18 3 14-17
Fourth Year
FallCredits  
Credits from an accredited university engineering program 25  
 25  
Total Credits 122-128

This program assumes a student will use PHY 292/PHY 292D andMAT 124M to meet the general education Laboratory Science and Mathematics requirements. 

This is a dual-degree Engineering program. It must be completed at a university which offers engineering degrees.

Students receive their Bethel degree with an Engineering major only upon completion of the engineering degree at the other school. 

Most financial aid packages stipulate 12 credits/semester; Minnesota state grants are reduced when credit load falls below 15 credits/semester. (Interim credits may be split between fall and spring for state grant purposes only.)

B.A. in Engineering 2018-2019: Option 2 - Humanities

First Year
FallCreditsInterimCreditsSpringCredits
PHY 292
PHY 292D
General Physics I and General Physics I Lab
4GES 147 Humanities II: Renaissance and Reformation4PHY 296
PHY 297
General Physics II and General Physics II Lab
4
MAT 124M Calculus 14 MAT 125 Calculus 24
GES 145 Humanities I: Greco-Roman through Middle Ages4 GES 244 Humanities III: European Enlightenment and American Culture to 18774
GES 140 Introduction to Wellbeing3 Second Language (S) course1 4
 15 4 16
Second Year
FallCreditsInterimCreditsSpringCredits
COS 205 Scientific Computing3World Cultures (U) course 3MAT 222 Differential Equations3
MAT 223 Multivariable Calculus3 PHY 312
PHY 313
3 Modern Physics and Modern Physics Lab
4
PHY 302
PHY 303
3 Electronics and Electronics Lab
4 ENR 352
ENR 353
(or elective)2 Computer Methods in Physics and EngineeringComputer Methods in Physics and Engineering Lab
4
GES 246 Humanities IV: Modern and Contemporary Western Culture4 BIB 101 Introduction to the Bible3
ENR 260 Careers in Engineering and Physics Seminar1  
 15 3 14
Third Year
FallCreditsInterimCreditsSpringCredits
CHE 113
CHE 113D
General Chemistry I and General Chemistry I Lab
4Comparative Systems (G) course 3Science, Technology, and Society (K) course 3
ENR 3203 Mathematical Methods in Physics and Engineering4 Contemporary Christian Issues (P) course 3
Lifetime and Leisure Sports (Q) course 1 Interpreting Biblical Themes (J) course 3
MAT 344 (or elective)2 Numerical Methods3 Electives (Physics or Engineering course recommended) 3
Cross-Cultural Experience (Z) course 0-3 Artistic Experience (A) course 0-3
Electives 3  
 15-18 3 12-15
Fourth Year
FallCredits  
Credits from an accredited university engineering program 25  
 25  
Total Credits 122-128

This program assumes a student will use PHY 292/PHY 292D andMAT 124M to meet the general education Laboratory Science and Mathematics requirements. 

This is a dual-degree Engineering program. It must be completed at a university which offers engineering degrees.

Students receive their Bethel degree with an Engineering major only upon completion of the engineering degree at the other school. 

Most financial aid packages stipulate 12 credits/semester; Minnesota state grants are reduced when credit load falls below 15 credits/semester. (Interim credits may be split between fall and spring for state grant purposes only.)

CHE 101 • Introduction to Chemistry 3 Credits.

Overview of atoms–their composition, their ability to form bonds, and their ability to interact as molecules. Designed for nursing and allied health fields.
Corequisites: Registration in CHE 101D is required. Offered: Fall, Spring.

CHE 101D • Introduction to Chemistry Lab 1 Credit.

Laboratory experience accompanying CHE 101.
Corequisites: Registration in CHE 101 is required. Offered: Fall, Spring.

CHE 107 • Modern Alchemy: Chemistry for Non-Scientists 3 Credits.

The chemical world including, for example, food, agriculture, household chemicals, plastics, drugs, environmental concerns, and energy production. An overview of chemical concepts with an emphasis on applications of chemistry and their implications for society.
Corequisites: Registration in CHE 107D is required. Offered: Interim.

CHE 107D • Modern Alchemy: Chemistry for Non-Scientists Lab 1 Credit.

Laboratory experience accompanying CHE 107.
Corequisites: Registration in CHE 107 is required. Offered: Interim.

CHE 113 • General Chemistry I 3 Credits.

Chemical properties and principles, structure and reactivity, stoichiometry, thermodynamics, atomic and molecular theory, and states of matter. Laboratory includes application of these principles in exploring chemical properties and reactivity, and computer data collection and modeling.
Prerequisites: Two years of High school Math; High school Chemistry or consent of instructor. Corequisites: Registration in CHE 113D is required. Offered: Fall

CHE 113D • General Chemistry I Lab 1 Credit.

Laboratory experience accompanying CHE 113.
Corequisites: Registration in CHE 113 is required. Offered: Fall.

CHE 200 • Laboratory Safety and Chemical Hygiene 1 Credit.

High standards of safety and chemical hygiene make the science laboratory a safe, comfortable, interesting place to work. This course reviews the standards and federal/state guidelines pertaining to safety and hygiene in the laboratory.
Prerequisites: One year of High school Chemistry; one semester of college-level science. Offered: Fall, Spring.

CHE 208 • Accelerated General Chemistry 3 Credits.

Chemical properties and principles, stoichiometry, structure, reactivity, atomic theory, states of matter, solutions, thermodynamics, kinetics, equilibria, acids and bases, electrochemistry, descriptive inorganic chemistry, and nuclear chemistry. Intended for science and engineering students who have a strong math background.
Prerequisites: MAT 124M (may be taken concurrently). Corequisites: Registration in CHE 208D is required. Offered: Fall. Special Notes: Meets the same requirements of CHE 113/113D and CHE 214/215.

CHE 208D • Accelerated General Chemistry Lab 1 Credit.

Laboratory experience accompanying CHE 208.
Corequisites: Registration in CHE 208 is required. Offered: Fall.

CHE 214 • General Chemistry II 3 Credits.

Study of solutions, chemical kinetics, thermodynamics, solution equilibria, acids and bases, electrochemistry, descriptive inorganic chemistry, and nuclear chemistry.
Prerequisites: CHE 113/113D. Corequisites: Registration in CHE 215 is required. Offered: Spring

CHE 215 • General Chemistry II Lab 1 Credit.

Laboratory experience accompanying CHE 214.
Corequisites: Registration in CHE 214 is required. Offered: Spring.

CHE 224 • Organic Chemistry I 3 Credits.

Structure, classification, and function of organic compounds; bonding theory, stereochemistry, organic reaction mechanisms, energy relations, and spectroscopy.
Prerequisites: CHE 214/215 or CHE 208/208D. Corequisites: Registration in CHE 225 is required. Offered: Fall

CHE 225 • Organic Chemistry I Lab 1 Credit.

Laboratory experience accompanying CHE 224. Includes introduction to techniques of measurement, analysis, separation, synthesis, and purification of organic compounds.
Corequisites: Registration in CHE 224 is required. Offered: Fall.

CHE 226 • Organic Chemistry II 3 Credits.

Mechanism and classification of organic reactions, particularly carbon-carbon bond-forming reactions involving carbonyl compounds. Mechanistic organic chemistry applied to polymers and biochemical pathways.
Prerequisites: CHE 224/225. Corequisites: Registration in CHE 227 is required. Offered: Spring

CHE 227 • Organic Chemistry II Lab 1 Credit.

Laboratory experience accompanying CHE 226. Laboratory includes synthesis, separation, purification, and identification of organic compounds. Offered:Spring.
Corequisites: Registration in CHE 226 is required.

CHE 304 • Essentials of Biochemistry 3 Credits.

A survey of the structure, function, interactions, and chemical properties of the four major macromolecules: proteins, nucleic acids, lipids, and carbohydrates. Examination of primary metabolic pathways, bioenergetics, regulation, and homeostasis.
Prerequisites: CHE 224/CHE 225; BIO 120/BIO 121. Not open to students who have taken BIO 388/BIO 389 or CHE 388/CHE 389. Corequisites: Registration in CHE 305 is required. Offered: Fall

CHE 305 • Essentials of Biochemistry Lab 1 Credit.

Laboratory experience accompanying CHE 304.
Corequisites: Registration in CHE 304 is required. Offered: Fall.

CHE 306 • Advanced Organic Chemistry 3 Credits.

Bonding, kinetics, mechanisms of reactions, stereochemistry, and structure determination of organic compounds.
Prerequisites: CHE 226/227; CHE 344/345. Corequisites: Registration in CHE 307 is required. Offered: Occasionally

CHE 307 • Advanced Organic Chemistry Lab 1 Credit.

Laboratory experience accompanying CHE 306.
Corequisites: Registration in CHE 306 is required. Offered: Occasionally.

CHE 312 • Quantitative Analysis 3 Credits.

Principles and practice of modern quantitative analysis. Acid-base and ionic equilibria. Statistics, method selection and development, chromatography, and electrochemistry.
Prerequisites: CHE 214/215 or CHE 208/208D. Corequisites: Registration in CHE 313 is required. Offered: Spring.

CHE 313 • Quantitative Analysis Lab 1 Credit.

Laboratory experience accompanying CHE 312.
Corequisites: Registration in CHE 312 is required. Offered: Spring.

CHE 320 • Instrumental Analysis 3 Credits.

Methods of instrumental analysis. Study of chemical and physical principles and practical application of spectroscopy, spectrometry, chromatography and electroanalysis. Fundamental electronic circuitry and computer data acquisition and control.
Prerequisites: CHE 312/313 or CHE 226/CHE 227 Corequisites: Registration in CHE 321 is required. Offered: Fall.

CHE 321 • Instrumental Analysis Lab 1 Credit.

Laboratory experience accompanying CHE 320.
Corequisites: Registration in CHE 320 is required. Offered: Fall.

CHE 344 • Thermodynamics, Kinetics, and Statistical Mechanics 3 Credits.

Physical chemistry of the laws of thermodynamics and their application to phase and chemical equilibria. Chemical kinetics of reaction rates and reaction mechanisms. Statistical mechanics as it relates spectroscopy with thermodynamics and kinetics.
Prerequisites: CHE 214/215 or CHE 208/208D; PHY 292/292D; PHY 296/297; MAT 125. Corequisites: Registration in CHE 345 is required. Offered: Fall

CHE 345 • Thermodynamics, Kinetics, and Statistical Mechanics Lab 1 Credit.

Laboratory experience accompanying CHE 344. Includes hands-on experience with physiochemical systems and computational modeling.
Corequisites: Registration in CHE 344 is required. Offered: Fall.

CHE 348 • Quantum Chemistry and Spectroscopy 3 Credits.

Physical chemistry of the laws of quantum mechanics applied to atoms and molecules. Quantum mechanical solutions of model systems and their application to chemical spectroscopy.
Prerequisites: CHE 208/208D or CHE 214/215; PHY 292/292D; PHY 296/297; MAT 125. Corequisites: Registration in CHE 349 is required. Offered: Spring

CHE 349 • Quantum Chemistry and Spectroscopy Lab 1 Credit.

Laboratory experience accompanying CHE 348. Includes hands-on experience with physiochemical systems and computational modeling.
Corequisites: Registration in CHE 348 is required. Offered: Spring.

CHE 364 • Advanced Inorganic Chemistry 3 Credits.

Chemistry of elements and their compounds, including symmetry, bonding theories, solid-state chemistry, coordination compounds, organometallics, and bioinorganic compounds.
Prerequisites: CHE 344/345; One year of Organic Chemistry or Junior standing. Corequisites: Registration in CHE 365 is required. Offered: Spring

CHE 365 • Advanced Inorganic Chemistry Lab 1 Credit.

Laboratory experience accompanying CHE 364. Laboratory includes synthesis and characterization of inorganic compounds.
Corequisites: Registration in CHE 364 is required. Offered: Spring.

CHE 388 • Biochemistry I 3 Credits.

Physical and chemical properties of living systems with an emphasis on macromolecular interaction, structure, and function. Structure, classification, purification, and function of nucleic acids, proteins, carbohydrates, and lipids, including membrane transport and enzymology.
Prerequisites: CHE 226/227; CHE 344/345; BIO 120/121. BIO 354/355 recommended. Corequisites: Registration in CHE 389 is required. Offered: Fall. Special Notes: Not open to students who have taken CHE 304/305; Carries cross-credit in Biology.

CHE 389 • Biochemistry I Lab 1 Credit.

Laboratory experience accompanying CHE 388. Techniques include spectroscopy, chromatography, centrifugation, electrophoresis, and enzyme kinetics.
Corequisites: Registration in CHE 388 is required. Offered: Fall.

CHE 393 • Research 1-4 Credits.

Utilization of the techniques and understanding of chemical principles on a term project. Use of original literature to formulate and conduct an original laboratory or computational research project under the supervision of a chemistry faculty member.
Prerequisites: Consent of department. Repeatable course May only be taken for credit once. Offered: Fall, Interim, Spring.

CHE 395 • Chemistry Seminar: Research and Professional Development 1 Credit.

Students search the chemical literature and develop a proposal for their capstone research project. Discussion of chemical careers, graduate and professional school preparation, and ethical conduct in science.
Prerequisites: CHE 200 (may be taken concurrently); Junior standing; must be a Chemistry or Biochemistry/Molecular Biology major. Offered: Fall.

CHE 396 • Biochemistry II 3 Credits.

Metabolic pathways, bioenergetics, metabolic regulation, and metabolism of macromolecules (carbohydrates, lipids, amino acids, and nucleotides). Macromolecular synthesis of RNA, DNA, and proteins, including an introduction to biotechnology.
Prerequisites: CHE 388/389 or BIO 388/389. Corequisites: Registration in CHE 397 is required. Offered: Spring

CHE 397 • Biochemistry II Lab 1 Credit.

Laboratory experience accompanying CHE 396. Laboratory includes procedures and experiments for the isolation and characterization of enzymes, RNA and DNA, molecular cloning, PCR, and gene expression.
Corequisites: Registration in CHE 396 is required. Offered: Spring.

CHE 490 • Chemistry Seminar: Research 2 Credits.

Students pursue an original research project in Chemistry or Biochemistry supported by a faculty mentor. Required time commitment is approximately 3.5 hours per week per credit, including weekly meeting with faculty mentor.
Prerequisites: CHE 395; Consent of instructor. Offered: Fall, Spring.

CHE 491 • Research 1-4 Credits.

Students pursue an original research project in Chemistry or Biochemistry supported by a faculty mentor. Required time commitment is approximately 3.5 hours per week per credit, including weekly meeting with faculty mentor.
Prerequisites: CHE 490; Consent of department. Offered: Fall, Interim, Spring.

CHE 494 • Chemistry Seminar: Research Presentation 1 Credit.

Students prepare and deliver formal presentations of their research results. Seminar meets weekly for discussion of current topics.
Prerequisites: CHE 490. Offered: Fall, Spring

ENR 160 • Introduction to Engineering 3 Credits.

Introduction to engineering fields, practicing engineers, engineering work, and the tools that engineers use. Topics such as process and methodology, statistical analysis, and the use of computer software (e.g., CAD) in the development of specifications, design, and prototyping. Emphasis on the ethics and responsibilities of the engineering process.
Offered: Interim.

ENR 260 • Careers in Engineering and Physics Seminar 1 Credit.

Focus on developing careers in high-technology fields such as engineering and physics. Emphasis on exploring some of the wide variety of specific careers possible through methods such as video, lecture, tours, and guest speakers. Development of practical professional skills such as writing resumes and cover letters, accumulating connections and experience, and developing techniques for interviewing.
Prerequisites: PHY 296/297. Offered: Fall. Special Notes: Carries cross-credit in physics.

ENR 306 • Digital Logic and Design 3 Credits.

Introduction to digital logic and design. Topics may include Boolean algebra, design and optimization of combinational and sequential logic, the use of programmable logic devices such as FPGA, VHDL or Verilog modeling, and an introduction to processors and memory. Extensive lab experience in the simulation, design, construction and testing of digital circuits.
Prerequisites: PHY 302/303, MAT 125. Corequisites: Concurrent registration in ENR 307 is required. Offered: Spring.

ENR 307 • Digital Logic and Design Lab 1 Credit.

Lab experience accompanying ENR 306 .
Corequisites: Concurrent registration in ENR 306 is required. Offered: Spring.

ENR 308 • Statics and Mechanics of Materials 4 Credits.

Force and moment vectors, equilibrium of rigid bodies in two and three dimensions; trusses, friction, centroids, and moments of inertia. Linear elasticity; introduction to stress and strain analysis applied to beams, vessels, pipes, and combined loading; stress and strain; axial, flexural, and torsional deflections for linear elastic materials.
Prerequisites: MAT 223 (may be taken concurrently); PHY 292/292D. Offered: Spring, even # years.

ENR 316 • Analog Circuitry and Design 3 Credits.

Feedback principles and electronic circuit theory and device theory applied to multistage transistor amplifiers. Detailed study of operational amplifiers. Power supply design. Nonlinear circuits. Introduction to filter theory. Introduction to noise analysis and low noise design. Circuit design and construction experience emphasized in projects and the laboratory.
Prerequisites: PHY 302; PHY 303; MAT 222 (may be taken concurrently) Corequisites: Concurrent registration in ENR 317 is required. Offered: Fall, odd # years.

ENR 317 • Analog Circuitry & Design Lab 1 Credit.

Lab experience accompanying ENR 316.
Corequisites: Concurrent registration in ENR 316 is required. Offered: Fall, odd # years.

ENR 318 • Engineering Thermal Science 3 Credits.

Fundamental laws of thermodynamics. Energy transfer modes. The properties, equations of state, processes, and cycles for reversible/irreversible thermodynamic systems. Equations for conservation of mass and energy, plus entropy balances. Application of thermodynamic principles to modern engineering systems.
Offered: Occasionally.

ENR 320 • Mathematical Methods in Physics and Engineering 4 Credits.

Development of skill in mathematical techniques useful in the solution of physics and engineering problems. Included are vector analysis; line and surface integrals; Fourier analysis; partial differential equations; and linear algebra topics such as basis, dimension, matrices, eigenvalues/eigenvectors.
Prerequisites: MAT 222; MAT 223. Offered: Fall. Special Notes: Carries cross-credit in physics.

ENR 326 • Circuit Analysis & Simulations 4 Credits.

Circuit analysis techniques as applied to: sinusoidal steady state analysis with power calculations, first and second order transient analysis in both time and Laplace domains, three-phase circuits and magnetically coupled circuits. Additional topics include: frequency response, resonance, filters, Bode plots. Simulation of electrical and electronic circuits will be emphasized.
Prerequisites: PHY 302; PHY 303. Offered: Spring, odd # years.

ENR 336 • Signals and Systems 4 Credits.

Continuous-and discrete-time signals and systems. Topics include: definitions and properties of signals and systems, convolution, solution of differential and difference equations, Laplace and Z transforms, and Fourier analysis. Emphasis is on applications to signal processing, communication and control systems.
Prerequisites: MAT 222, PHY 302; PHY 303, ENR 352; ENR 353. Offered: Fall even # years

ENR 352 • Computer Methods in Physics and Engineering 3 Credits.

Application of the computer to solving applied problems of interest to physicists and engineers. Computer techniques are developed for numerical methods, simulation models, and data acquisition and control in the laboratory.
Prerequisites: MAT 223; PHY 296/297 (grade of C or better) or consent of instructor. Corequisites: Concurrent registration in ENR 353 is required. Offered: Spring. Special Notes: PHY 302/303 is recommended. Carries cross-credit in physics.

ENR 353 • Computer Methods in Physics and Engineering Lab 1 Credit.

Laboratory experience accompanying ENR 352.
Corequisites: Concurrent registration in ENR 352 is required. Offered: Spring. Special Notes: Carries cross-credit in physics.

ENR 420 • Software Process 3 Credits.

Balancing the various real-world challenges that a software engineer encounters, including ambiguity, conflicting requirements, task-time estimation, team dynamics, requests from customers, product managers or architects. A team-based software project on a modern computer science topic will be developed during the semester.
Prerequisites: COS 216; ENR 477 recommended. Special Notes: Cross listed with COS 420. Offered: Spring odd # years.

ENR 422 • Fluid Mechanics 3 Credits.

Laws of statics, kinematics, and dynamics applied to fluid mechanics. Integral and differential conservation laws for mass, momentum, and energy. Dimensional analysis, viscous pipe flow, boundary layers, separated flows, and potential flow.
Prerequisites: MAT 223; PHY 296/297 (grade of C or better) or consent of instructor. Corequisites: Concurrent registration in ENR 423 is required. Special Notes: Carries cross-credit in physics. Offered: Fall.

ENR 423 • Fluid Mechanics Lab 1 Credit.

Laboratory experience accompanying ENR 422.
Corequisites: Concurrent registration in ENR 422 is required. Offered: Fall. Special Notes: Carries cross-credit in Physics.

ENR 424 • Materials and Devices 3 Credits.

Theory and application of condensed matter and materials. Physical origin of electrical, optical, mechanical, thermal, and magnetic properties. Particular emphasis on devices such as pn junction diodes, LEDs, solar cells, piezoelectrics, liquid crystals, nanostructures, and sensors. An accompanying lab explores characterization of materials and design, fabrication, and testing of devices.
Prerequisites: PHY 302/303 or PHY 312/313. Corequisites: Concurrent registration in ENR 425 is required. Offered: Fall, even # years. Special Notes: Carries cross-credit in physics.

ENR 425 • Materials and Devices Lab 1 Credit.

Laboratory component of ENR 424 .
Corequisites: Concurrent registration in ENR 424 required. Offered: Fall, even # years. Special Notes: Carries cross-credit in physics.

ENR 436 • Microprocessors 3 Credits.

Advanced principles of microcomputer hardware and software. Topics include computer organization, instruction sets and addressing modes, assembly language programming, arithmetic and logic operations, input/output, buffers, interrupts and special purpose features such as A/D converters.
Prerequisites: ENR 306; ENR 307. Corequisites: Concurrent registration in ENR 437 is required. Offered: Fall, even # years.

ENR 437 • Microprocessors Lab 1 Credit.

Lab experience accompanying ENR 436.
Corequisites: Concurrent registration in ENR 436 is required. Offered: Fall, even # years.

ENR 446 • Control Systems 3 Credits.

Time and frequency domain representation of feedback control systems. Topics include: stability criteria, root locus methods, frequency response techniques, digital implementation and hardware considerations.
Prerequisites: ENR 336. Corequisites: Concurrent registration in ENR 447 is required. Offered: Spring odd # years

ENR 447 • Control Systems Lab 1 Credit.

Lab experience accompanying ENR 446.
Corequisites: Concurrent registration in ENR 446 is required. Offered: Spring odd # years.

ENR 450 • Topics in Applied Physics and Engineering 3-4 Credits.

Topics selected from various fields of engineering and applied physics for the purpose of illustrating the practical application of physical principles. Emphasis on developing the skills and viewpoints commonly used by engineers and industrial physicists.
Prerequisites: ENR 320 (may be taken concurrently); MAT 222. Offered: Occasionally. Special Notes: Carries cross-credit in physics, Course may be repeated when a different topic is emphasized, The field of engineering or applied physics is announced prior to registration.

ENR 465 • Engineering Design Seminar 1 Credit.

Prepares students for engineering practice through a major design experience. Design projects have a major engineering component to them, and are intentionally multi-disciplinary in nature. Students work in teams to design a system to meet a given specification that requires the incorporation of relevant engineering standards.
Prerequisites: Senior standing and a declared major in Electrical Engineering. Offered: Fall.

ENR 477 • Software Engineering 3 Credits.

Formal approach to the design and development of software. Design methodologies include object-oriented design, components, design patterns, and event-driven design. Project management, walkthroughs, documentation, team programming, and the development of a significant software project.
Prerequisites: COS 216. Special Notes: Cross listed with COS 477. Offered: Fall, odd # years.

ENR 490 • Engineering Design Project 3 Credits.

Prepares students for engineering practice through a major design and prototyping experience. The design produced in ENR 465 will be the basis for building a prototype system. The prototype will incorporate relevant engineering standards. Final designs and prototypes are documented in a professional manner and presented publicly.
Prerequisites: ENR 465. Offered: Spring

MAT 101M • Mathematics for the 21st Century 3 Credits.

Mathematical ideas that a liberally educated person should be familiar with in order to function well in a technological society.
Prerequisites: Two years of high school algebra, including logarithms and exponential functions. Offered: Fall, spring

MAT 102M • Creative Problem Solving 3 Credits.

An opportunity to learn to use creative thinking and intuition to gain confidence in understanding and solving some intriguing problems in mathematics.
Prerequisites: High school algebra and geometry. Offered: Interim

MAT 123M • Precalculus 3 Credits.

Mathematics topics required for MAT 124M or for further study in the natural sciences. Equations and inequalities; graphs of functions and relations; polynomial, rational, exponential, logarithmic functions; trigonometric functions, identities, equations, and applications.
Prerequisites: Two years of high school algebra; satisfy math department placement requirements. Offered: Fall, spring

MAT 124M • Calculus 1 4 Credits.

A mathematical foundation for future college courses and beyond. An introduction to the concepts and methods of the derivative and the integral, and a demonstration of how they are applied in real-world modeling situations. Topics are examined graphically, numerically, and algebraically, including using a symbolic computer algebra system to aid with understanding.
Prerequisites: MAT 123M or equivalent high school or college course(s); satisfy math department placement requirements. Offered: Fall, spring

MAT 125 • Calculus 2 4 Credits.

A continuation of the equipping of students with tools for effective problem solving. Study of integration, sequences and series, and introduction to differential equations and approximation techniques. Each topic is approached from several viewpoints (graphical, numerical, algebraic) to involve students with different learning styles.
Prerequisites: MAT 124M. Offered: Fall, spring

MAT 201M • Mathematics for Elementary Education 1 3 Credits.

Introduction to problem solving; patterns and sequences; systems of numeration; sets and logic; concepts, operations, and algorithms for each subset of the real numbers; elementary number theory; concepts and applications of ratios, proportions, and percents.
Prerequisites: Major in Elementary Education; minimum ACT mathematics score of 24, minimum SAT mathematics score of 560, or satisfactory completion of Bethel's online Math for Elementary Education prep course; 15 college-level credits completed. Special Notes: MAT 201M may not be used to fulfill the requirements for a major or minor in Mathematics; Offered: Fall, Spring.

MAT 202 • Mathematics for Elementary Education 2 3 Credits.

Problem-solving and reasoning strategies; algebraic expressions, equations, and functions; data analysis, statistics, combinations/permutations, and probability; concepts and applications of two- and three-dimensional geometry and measurement.
Prerequisites: Grade of C or higher in MAT 201M. MAT 202 may not be used to fulfill the requirements for a major or minor in mathematics. Offered: Fall, spring

MAT 207M • Statistical Analysis 3 Credits.

Descriptive and inferential statistics. Specific topics include discrete probability spaces, random variables, distributions, normal distribution, estimation, hypothesis testing, linear regression, correlation analysis. Selected topics could include analysis of variance, goodness-of-fit, and contingency tables. Applications to business, economics, and science.
Offered: Fall, Interim, Spring. Special Notes: Students may not receive credit for both MAT 207M and PSY 230M.

MAT 209 • Financial Mathematics for Actuarial Science 3 Credits.

Topics and problem-solving practice for the actuarial exam in financial mathematics. Theory of interest topics include: time value of money, annuities, cash flows, amortized loans, bonds, portfolios, and immunization. Financial economics topics include: derivatives, options, forwards and futures, swaps, hedging, and investment strategies.
Prerequisites: MAT 125. Offered: Occasionally.

MAT 211 • Linear Algebra 3 Credits.

Linear systems, matrices, vectors and vector spaces, linear transformations, inner products, norms, eigenvalues and eigenvectors, orthogonality, and applications. Provides a foundation for many areas of study in mathematics, computer science, engineering, and science.
Prerequisites: MAT 125 or MAT 241. Offered: Fall, spring.

MAT 222 • Differential Equations 3 Credits.

Analytic solution methods for ordinary differential equations, including special methods for first- and second-order systems, and transformation methods. Analysis of systems of differential equations using linear algebra and qualitative phase plane techniques.
Prerequisites: MAT 125. MAT 223 strongly recommended. Offered: Spring

MAT 223 • Multivariable Calculus 3 Credits.

Differential calculus of real functions on Rⁿ: limits, continuity, partial and directional derivatives, mean value theorem, implicit functions, Taylor’s Theorem, and optimization techniques (including Lagrange multipliers). Multiple integral theory: change of variables, iterated integrals, and line integration (Green’s Theorem).
Prerequisites: MAT 125. Offered: Fall, Spring.

MAT 241 • Discrete Mathematics 3 Credits.

Covers a collection of topics useful to mathematics and computer science majors. The unifying factor is that the topics deal mainly with finite collections of mathematical objects (graphs, trees, finite state machines, etc.). Also includes examination of sets, logic, Boolean algebras, proof techniques, algorithm analysis, counting, and recursion.
Prerequisites: MAT 124M. Offered: Fall

MAT 310 • Algebraic Structures 4 Credits.

Study of groups, rings, fields, and applications of these algebraic structures from a firm axiomatic foundation with a strong emphasis on properly written proofs.
Prerequisites: MAT 211. Offered: Spring

MAT 330 • Probability and Statistics 3 Credits.

Discrete and continuous probability spaces, distribution and density functions, random variables, sampling, expectation, estimation, and hypothesis testing.
Prerequisites: MAT 125. Offered: Fall

MAT 331 • Applied Statistics 3 Credits.

Linear and multilinear regression. Factor analysis, including analysis of variance and experimental design.
Prerequisites: MAT 330 or consent of instructor. Offered: Spring, even # years

MAT 344 • Numerical Methods 3 Credits.

Numerical methods for solving systems of linear equations, finding roots and fixed points, approximating data and functions, numerical integration, finding solutions to differential equations.
Prerequisites: MAT 211 or MAT 222. Recommended: COS 105 or COS 205. Offered: Spring. Special Notes: Carries cross-credit in computer science.

MAT 351 • Modern Geometry 3 Credits.

A survey of informal and formal geometric topics. Investigation of concepts, structure, proof, Euclidean, non-Euclidean, and transformational geometry.
Prerequisites: MAT 241 or consent of instructor. Offered: Fall, even # years. Special Notes: Designed for students seeking licensure to teach math in grades 5-12.

MAT 376 • Operations Research 4 Credits.

Mathematical techniques used in systems analysis, including linear programming, simulation techniques, and other topics such as transportation models, integer programming, and network analysis.
Prerequisites: COS 105 or COS 205; MAT 211. Offered: Fall, odd # years.

MAT 422 • Real Analysis 3 Credits.

Elementary set theory, properties of real numbers, functions of real variables, sequences, series, differentiation, Riemann integration, and introduction to topological concepts.
Prerequisites: MAT 223; MAT 310. Offered: Fall.

MAT 425 • Topics in Mathematics 3 Credits.

A seminar designed to provide an in-depth experience with a specific field of mathematics. Topics vary from semester to semester and include logic, number theory, dynamical systems, chaos and fractals, complex analysis, partial differential equations and Fourier analysis, intermediate probability and statistics, combinatorics, and topology.
Corequisites: MAT 310 or consent of instructor. Offered: Spring, odd # years.

MAT 499 • Foundations of Mathematics 3 Credits.

A short history of mathematics’ major transition points, overview of foundations of mathematics, axiomatic structures, and philosophies of mathematics in relation to Christian faith.
Prerequisites: Major in mathematics; Senior standing. Offered: Interim.

PHY 102 • Physics of Everyday Life 3 Credits.

Explores how physics concepts can be used to understand everyday phenomena in the world around us. Topics include mechanics, waves (including sound and light), thermodynamics, and atomic and nuclear physics. Lecture demonstrations and laboratories stress a clear understanding of observed phenomena.
Corequisites: Concurrent registration in PHY 102D is required. Offered: Interim.

PHY 102D • Physics of Everyday Life-Lab 1 Credit.

Laboratory experience accompanying PHY 102.
Corequisites: Concurrent registration in PHY 102 is required. Offered: Interim.

PHY 112 • Introduction to Astronomy 3 Credits.

The concepts, techniques, and tools of astronomy and astrophysics for nonscience students. Includes historical overview; identification of constellations; telescopes; the nature of light, atomic spectra, and structure; the nuclear physics of stars; the life cycle of stars; and current theories of the fate of the universe.
Corequisites: Concurrent registration in PHY 112D is required. Offered: Fall.

PHY 112D • Introduction to Astronomy Lab 1 Credit.

Laboratory experience accompanying PHY 112. Includes optics, atomic spectra, and observations with simple instruments and telescopes.
Corequisites: Concurrent registration in PHY 112 is required. Offered: Fall.

PHY 202 • Introductory Physics I 3 Credits.

Mechanics, thermal properties of matter and mechanical waves.
Prerequisites: MAT 123M, MAT 124M, or solid understanding and competency in high school mathematics as demonstrated by at least one of the following: a Math ACT score of at least 23, 519 on the Math portion of the SAT, a Math Placement Test score of at least 3. Corequisites: Concurrent registration in PHY 202D is required. Offered: Fall

PHY 202D • Introductory Physics I Lab 1 Credit.

Laboratory experience accompanying PHY 202.
Corequisites: Concurrent registration in PHY 202 is required. Offered: Fall.

PHY 206 • Introductory Physics II 3 Credits.

Electricity and magnetism, sound waves, optical phenomena, and modern physics.
Prerequisites: PHY 202/202D. Corequisites: Concurrent registration in PHY 207 is required. Offered: Spring

PHY 207 • Introductory Physics II Lab 1 Credit.

Laboratory experience accompanying PHY 206.
Corequisites: Concurrent registration in PHY 206 is required. Offered: Spring.

PHY 260 • Careers in Engineering and Physics Seminar 1 Credit.

Focus on developing careers in high-technology fields such as engineering and physics. Emphasis on exploring some of the wide variety of specific careers possible through methods such as video, lecture, tours, and guest speakers. Development of practical professional skills such as writing resumes and cover letters, accumulating connections and experience, and developing techniques for interviewing.
Prerequisites: PHY 296/297. Offered: Fall. Special Notes: Carries cross-credit in engineering.

PHY 292 • General Physics I 3 Credits.

Kinematics, mechanics, oscillations, fluids, and conservation principles.
Prerequisites: MAT 124M (may be taken concurrently). Corequisites: Concurrent registration in PHY 292D is required. Offered: Fall

PHY 292D • General Physics I Lab 1 Credit.

Laboratory experience accompanying PHY 292.
Corequisites: Concurrent registration in PHY 292 is required. Offered: Fall.

PHY 296 • General Physics II 3 Credits.

Electricity, magnetism, thermodynamics, sound waves, and optics.
Prerequisites: PHY 292/292D (with a grade of C or better); MAT 125 (may be taken concurrently). Corequisites: Concurrent registration in PHY 297 is required. Offered: Spring

PHY 297 • General Physics II Lab 1 Credit.

Laboratory experience accompanying PHY 296.
Corequisites: Concurrent registration in PHY 296 is required. Offered: Spring.

PHY 302 • Electronics 3 Credits.

Fundamentals of digital and analog electronics intended for scientists and engineers.
Prerequisites: PHY 296/297 (grade of C or better); MAT 124M. Corequisites: Concurrent registration in PHY 303 is required. Offered: Fall

PHY 303 • Electronics Lab 1 Credit.

Laboratory experience accompanying PHY 302. Extensive laboratory exercises and a choice of projects provide hands-on experience with circuits using transistors, operational amplifiers, logic gates, flip-flops, and other devices.
Corequisites: Concurrent registration in PHY 302 is required. Offered: Fall.

PHY 312 • Modern Physics 3 Credits.

Relativity, quantum theory, atomic structure, nuclear structure, and elementary particles.
Prerequisites: PHY 296/297 (grade of C or better); MAT 223. Corequisites: Concurrent registration in PHY 313 is required. Offered: Spring

PHY 313 • Modern Physics Lab 1 Credit.

Atomic and nuclear laboratory experiments accompanying PHY 312.
Corequisites: Concurrent registration in PHY 312 is required. Offered: Spring.

PHY 320 • Mathematical Methods in Physics and Engineering 4 Credits.

Development of skill in mathematical techniques useful in the solution of physics and engineering problems. Included are vector analysis; line and surface integrals; Fourier analysis; partial differential equations; and linear algebra topics such as basis, dimension, matrices, eigenvalues/eigenvectors.
Prerequisites: MAT 222; MAT 223. Offered: Fall. Special Notes: Carries cross-credit in engineering.

PHY 332 • Optics 3 Credits.

Principles of geometrical and physical optics.
Prerequisites: PHY 312/313; MAT 223. Corequisites: Concurrent registration in PHY 333 is required. Offered: Spring, even # years

PHY 333 • Optics Lab 1 Credit.

Laboratory experience accompanying PHY 332 emphasizing physical optics measurements, laser technology, and holography.
Corequisites: Concurrent registration in PHY 332 is required. Offered: Spring, even # years.

PHY 340 • Mechanics 4 Credits.

Particle dynamics, conservative motion, central forces, accelerated coordinate systems, and Lagrange’s equations of motion.
Prerequisites: PHY 296/297 (grade of C or better); MAT 222; MAT 223. Offered: Fall.

PHY 352 • Computer Methods in Physics and Engineering 3 Credits.

Application of the computer to solving applied problems of interest to physicists and engineers. Computer techniques are developed for numerical methods, simulation models, and data acquisition and control in the laboratory.
Prerequisites: MAT 223; PHY 296/297, and PHY 302/303 (grade of C or better) or consent of instructor. Corequisites: Concurrent registration in PHY 353 is required. Offered: Spring. Special Notes: Carries cross-credit in engineering.

PHY 353 • Computer Methods in Physics and Engineering Lab 1 Credit.

Laboratory experience accompanying PHY 352.
Corequisites: Concurrent registration in PHY 352 is required. Offered: Spring. Special Notes: Carries cross-credit in engineering.

PHY 365 • Physics Research Seminar 1 Credit.

An introduction to research in physics and the development of scientific writing skills. Emphasis placed on preparing for departmental research experiences such as PHY 490 and external research experiences such as those found in industry, summer fellowship programs, and graduate schools.
Prerequisites: PHY 260; PHY 312/313; junior standing; a major in the physics department. Offered: Spring

PHY 400 • Electricity and Magnetism 4 Credits.

Electro- and magnetostatics, electric and magnetic fields, and electromagnetic waves.
Prerequisites: PHY 296/297 (grade of C or better); MAT 222; MAT 223. Offered: Fall, odd # years

PHY 410 • Thermodynamics 4 Credits.

Laws of thermodynamics, conditions for thermodynamic equilibrium, and fundamentals of statistical mechanics.
Prerequisites: PHY 296/297 (grade of C or better); MAT 223. PHY 312/313 is strongly recommended. Offered: Spring, odd # years

PHY 422 • Fluid Mechanics 3 Credits.

Laws of statics, kinematics, and dynamics applied to fluid mechanics. Integral and differential conservation laws for mass, momentum, and energy. Dimensional analysis, viscous pipe flow, boundary layers, separated flows, and potential flow.
Prerequisites: PHY 296/297 (grade of C or better); MAT 223. Corequisites: Concurrent registration in PHY 423 is required. Offered: Fall, odd # years. Special Notes: Carries cross-credit in engineering.

PHY 423 • Fluid Mechanics Lab 1 Credit.

Laboratory experience accompanying PHY 422.
Corequisites: Concurrent registration in PHY 422 required. Offered: Fall, odd # years. Special Notes: Carries cross-credit in engineering.

PHY 424 • Materials and Devices 3 Credits.

Theory and application of condensed matter and materials. Physical origin of electrical, optical, mechanical, thermal, and magnetic properties. Particular emphasis on devices such as pn junction diodes, LEDs, solar cells, piezoelectrics, liquid crystals, nanostructures, and sensors. An accompanying lab explores characterization of materials and design, fabrication, and testing of devices.
Prerequisites: PHY 302/303 or PHY 312/313. Corequisites: Concurrent registration in PHY 425 is required. Offered: Fall, even # years. Special Notes: Carries cross-credit in engineering.

PHY 425 • Materials and Devices Lab 1 Credit.

Laboratory component of PHY 424.
Corequisites: Concurrent registration in PHY 424 required. Offered: Fall, even # years. Special Notes: Carries cross-credit in engineering.

PHY 432 • Topics in Contemporary Optics 3 Credits.

Fourier optics, theory of coherence, quantum optics, nonlinear optics, and the physics of lasers.
Prerequisites: PHY 312/313; MAT 222; MAT 223. Concurrent registration in PHY 433 is required. Offered: Spring, odd # years

PHY 433 • Topics in Contemporary Optics Lab 1 Credit.

Laboratory experience accompanying PHY 432.
Corequisites: Concurrent registration in PHY 432 is required. Offered: Spring, odd # years.

PHY 440 • Quantum Mechanics 4 Credits.

Concepts and techniques of quantum mechanics.
Prerequisites: PHY 312/313; MAT 222; MAT 223. Offered: Fall, even # years

PHY 450 • Topics in Applied Physics and Engineering 3-4 Credits.

Topics selected from various fields of engineering and applied physics for the purpose of illustrating the practical application of physical principles. Emphasis on developing the skills and viewpoints commonly used by engineers and industrial physicists. The field of engineering or applied physics is announced prior to registration.
Prerequisites: PHY 302 and PHY 352 (may be taken concurrently); MAT 222. Repeatable course: Course may be repeated when a different topic is emphasized. Special Notes: Carries cross-credit in Engineering. Offered: Occasionally.

PHY 481 • Internship in Physics 1-4 Credits.

A practical experience in an off-campus professional setting in which the student applies the skills and perspectives of a physicist. Designed by student in consultation with a faculty member.
Prerequisites: Major in applied physics or physics; junior or senior standing. Offered: Fall, spring

PHY 490 • Research 3 Credits.

An opportunity for individual student projects under the supervision of the faculty.
Prerequisites: Senior standing; PHY 365; major in physics department. Offered: Fall, spring