# Engineering

• All engineering courses are taught in English.
• Students have to take at least one Spanish course, either SPAN 2010-Intermediate Spanish, SPAN 2020-Advanced Intermediate Spanish or a course from the Semester course list.
• Spanish Prerequisites: Completed at least SPAN 1020-Beginning Spanish or the equivalent. Students who have not taken any Spanish in high school or college/university should contact Liz at eaw5cf@virginia.edu

## Engineering Course Offering

In addition to their Spanish course/s, students can select from the following University of Virginia direct credit engineering courses:

### APMA 2130 Ordinary Differential Equations

First order differential equations, second order and higher order linear differential equations, reduction of order, undetermined coefficients, variation of parameters, series solutions, Laplace transforms, linear systems of first order differential equations and the associated matrix theory, numerical methods. Applications. Prerequisite: APMA 2120- Multivariable Calculus or equivalent.

### APMA 3080 Linear Algebra (only spring)

Analyzes the systems of linear equations; vector spaces; linear dependence; bases; dimension; linear mappings; matrices; determinants; quadratic forms; eigenvalues; eigenvectors; orthogonal reduction to diagonal form; inner product spaces; numerical methods; geometric applications. Prerequisite: APMA 2120-Multivariable Calculus or equivalent.

### APMA 3100 Probability

A calculus-based introduction to probability theory and its applications in engineering and applied science. Includes counting techniques, conditional probability, independence, discrete and continuous random variables, probability distribution functions, expected value and variance, joint distributions, covariance, correlation, the Central Limit theorem, the Poisson process, an introduction to statistical inference. Prerequisite: APMA 2120 - Multivariable Calculus or equivalent.

### APMA 3110 Applied Statistics & Probability

Examine variability and its impact on decision-making. Introduces students to basic concepts of probability, such as random variables, probability distribution functions, and the central limit theorem. Based on this foundation, the course then emphasizes applied statistics covering topics such as descriptive statistics, statistical inference, confidence intervals, hypothesis testing, correlation, regression modeling, statistical quality control.

### BME 2101 Physiology for Engineers

Learn how excitable tissue, nerves and muscle, and the cardiovascular and respiratory systems function. You will develop an understanding of mechanisms, with an introduction to structure, an emphasis on quantitative analysis, and integration of hormonal and neural regulation and control. Prerequisites: intro courses in biology, chemistry, physics & calculus (BIOL 2010, CHEM 1610, PHYS 1425, APMA 1110-Single Variable Calculus or similar)

### BME 2315 Computational Biomedical Engineering

Introduces techniques for constructing predictive or analytical engineering models for biological processes. Teaches modeling approaches using example problems in transport, mechanics, bioelectricity, molecular dynamics, tissue assembly, and imaging. Problem sets will include 1) linear systems and filtering, 2) compartmental modeling, 3) numerical techniques, 4) finite element / finite difference models, and 5) computational automata models. Prerequisite: Introduction to Programming.

### CHE 2202 Thermodynamics (only spring)

Includes the formulation and analysis of the first and second laws of thermodynamics; energy conservation; concepts of equilibrium, temperature, energy, and entropy; partial molar properties; pure component and mixture equations of state; processes involving energy transfer as work and heat; reversibility and irreversibility; and closed and open systems and cyclic processes. Prerequisite: APMA 2120-Multivariable Calculus.

### CHE 2215 Material and Energy Balances (only fall)

Introduces the field of chemical engineering, including material and energy balances applied to chemical processes, physical and thermodynamic properties of multi-component systems. Three lecture and one discussion hour. Prerequisite: CHEM 1610, APMA 1110-Single Variable Calculus II.

### CHEM 2410 Organic Chemistry I with Lab (only fall)

Surveys the compounds of carbon in relation to their structure, identification, synthesis, natural occurrence, and mechanisms of reactions. Introduction to the principles and techniques used in the organic chemistry laboratory, including methods of purification, isolation, synthesis and analysis of organic compounds, including spectroscopic and chromatographic methods.

### CHEM 2420 Organic Chemistry II  (only spring)

Survey of the principle classes of organic and bioorganic compounds in relation to their structure, identification, synthesis, natural occurrence, reactivity, and mechanisms of reactions.Prerequisite: CHEM 2410

### CS 2102 Discrete Mathematics I (only fall)

Introduces discrete mathematics and proof techniques involving first order predicate logic and induction. Application areas include finite and infinite sets, elementary combinatorial problems, and graph theory. Development of tools and mechanisms for reasoning about discrete problems.

### CS 2110 Software Development Methods

A continuation of Intro. to Programming, emphasizing modern software development methods. An introduction to the software development life cycle and processes. Topics include requirements analysis, specification, design, implementation, and verification. Emphasizes the role of the individual programmer in large software development projects. Prerequisite: Introduction to Programming.

### ECE or CS 2330 Digital Logic Design

Includes number systems and conversion; Boolean algebra and logic gates; minimization of switching functions; combinational network design; flip-flops; sequential network design; arithmetic networks. Introduces computer organization and assembly language. Six laboratory assignments.

### MAE 2300 Statics (only fall)

Basic concepts of mechanics, systems of forces and couples: equilibrium of particles and rigid bodies; analysis of structures: trusses, frames, machines; internal forces, shear and bending moment diagrams; distributed forces; friction, centroids and moments of inertia; introduction to stress and strain; computer applications.

### MAE 2320 Dynamics (only spring)

Kinematic and kinetic aspects of motion modeling applied to rigid bodies and mechanisms. Focus on free-body-analysis. Use of work-energy and impulse-momentum motion prediction methods. Use of Cartesian and simple non-Cartesian coordinate systems. Rotational motion, angular momentum, and rotational kinetic-energy modeling; body mass rotational moment of inertia. Relative-velocity and acceleration. Prerequisite: MAE 2300.

### PHYS 2415 General Physics II

Second semester of introductory physics for engineers. Electrostatics, including conductors and insulators; DC circuits; magnetic forces and fields; magnetic effects of moving charges and currents; electromagnetic induction; Maxwell's equations; electromagnetic oscillations and waves. Introduces geometrical and physical optics. Three lecture hours. Prerequisite: General Physics I (PHYS 1425) and Calculus I (APMA 1110 or MATH 1320).

### PHYS 2419 General Physics II Lab

A required two-hour workshop accompanying PHYS 2419, including laboratory and tutorial activities.

### STS 2XXX Science, Technology, & Society

Examine the social and ethical issues of science and technology from humanities and social science perspectives.

### SYS 2001 Systems Engineering Concepts (only fall)

Three major dimensions of systems engineering will be covered, and their efficacy demonstrated through case studies: (1) The history, philosophy, art, and science upon which systems engineering is grounded; including guiding principles and steps in the 'systems engineering approach' to problem solving; (2) The basic tools of systems engineering analysis, including; goal definition and system representation, requirements analysis, system assessment and evaluation, mathematical modeling, and decision analysis; and (3) system and project planning and management.