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This series is one part of UC Irvine's Musicianship 15 ABC sequence for music majors. An understanding of music notation and basic musical terms is helpful but not required for these presentations. The math involved is basic.
Pitch systems use mathematics to organize audible phenomenon for creative expression. The cognitive processes we develop through exposure to music comprise a kind of applied mathematics; our emotional responses to musical nuance grow out of a largely unconscious mastery of the patterns and structures in music. This series of presentations covers the basic mathematics and cognitive phenomenon found in the tonal system used in Western music and much of the music of the world. Over the course of several presentations we will explore basic concepts of pitch and frequency, the organizing rules of tonal systems, and the mathematical construction of basic scales and chords. The reasoning and purpose of equal temperament, the standard tuning system for tonal music, will be explored in this context. Presentations will include graphics and computer applications designed specifically to illustrate these concepts.
Introduction to Pitch Systems in Tonal Music
Authors:

John Crooks
Introduction to Pitch Systems in Tonal Music by John Crooks, MFA is licensed under a Creative Commons Attribution 3.0 United States License.
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Lectures
Biological Sciences
Patterns of diversity, ecology, and evolutionary biology. Emphasis is on the Tree of Life and how its members are distributed and interact.
Partial Course.
BioSci 94: Organisms to Ecosystems
Authors:

Michael Clegg Ph.D.
 Ecology & Evolutionary Biology, Biological Sciences, University of California, Irvine
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Lectures
Cell biology, biochemistry, genetics, and the biology of organ systems. Covers concepts of building blocks (nucleotides, amino acids, and cells) and of information flow (DNA to proteins, receptors to nuclei, the blood to distant organs, and DNA to offspring)
BioSci 93: DNA to Organisms
Authors:

Diane O'Dowd
 Developmental & Cell Biology, Biological Sciences, University of California, Irvine
Aimee Edinger
 Developmental & Cell Biology, Biological Sciences, University of California, Irvine
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Lectures
BioSci M121: Immunology with Hematology
Authors:

David Fruman Ph.D.
 Molecular Biology and Biochemistry, Biological Sciences, University of California, Irvine
Craig Walsh Ph.D.
 Molecular Biology and Biochemistry, Biological Sciences, University of California, Irvine
BioSci M121: Immunology with Hematology by David Fruman and Craig Walsh is licensed under a Creative Commons AttributionShareAlike 3.0 International License.
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Lectures
 BioSci M121. Lec 05. Immunology with Hematology: Principles of Adaptive Immunity (Lecture) (English)
 BioSci M121. Lec 20. Immunology with Hematology: Failures of the Body's Defenses (Lecture) (English)
Business and Management
Fundamentos de AnÃ¡lisis de NegÃ³cios
Authors:

Authors Various
This work is licensed under a Creative Commons AttributionNoncommercialNo Derivative Works 3.0 United States License.
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There are no related resourcesEducation
This course is designed to help students understand the aspects of linguistic principles and processes that underlie oral and written language proficiency, and how this knowledge is relevant K12 instruction. Emphasis is on a thorough, researchbased understanding of phonology, morphology, orthography, semantics, syntax, and pragmatics. Students learn ways to use this information to support literacy and oral language development for elementary and secondary school students. Issues of linguistic diversity and second language learning are addressed.
Education 151: Language and Literacy
Authors:

Penelope Collins
 Education, Education, University of California, Irvine
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Education 151: Language and Literacy by Penelope Collins is licensed under a Creative Commons AttributionShareAlike 4.0 International License.
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Lectures
Education 173: Cognition & Learning in Educational Settings
Authors:

Michael Martinez
Education 173: Cognition & Learning in Educational Settings by Professor Michael Martinez is licensed under a Creative Commons AttributionNoncommercialNo Derivative Works 3.0 United States License.
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Course Syllabus and Practice Quizzes
Weekly Content
This course was developed to satisfy the California Commission of Teaching credentialing requirements for teacher candidates. The class provides opportunities for candidates to learn how to teach the basic and essential fundamentals of physical education for K6^{th} grade students. The central knowledge is about childrenâ€™s motor skill development along with the emotional and social aspects related to physical activity. Teachers will learn the key aspects of a physical education lesson, which include a warmup activity, the lesson plan (skill development and game applications), and closure. As a total lesson, at least half the time is spent in moderate to vigorous activity.
The course also addresses classroom management techniques, safety and liability, kinesiology, and instructional techniques. It incorporates discussions of multicultural aspects and special needs populations, and concludes with ideas for integrating physical education with academic subjects such as mathematics, language, and natural and social sciences.
Education 320: Teaching PE & Health, Elementary Education
Authors:

Jeff Johnston
 Ethics, Education, University of California, Irvine
Education 320: Teaching PE & Health, Elementary Education by Jeff Johnston is licensed under a Creative Commons AttributionShareAlike 3.0 Unported License.
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Course Lectures
Engineering
This course covers: Fundamental concepts; fluid statics; fluid dynamics; Bernoulli's equation; controlvolume analysis; basic flow equations of conservation of mass, momentum, and energy; differential analysis; potential flow; viscous incompressible flow.
Engineering MAE 130A: Intro to Fluid Mechanics
Authors:

Roger Rangel
 Mechanical & Aerospace Engineering, Engineering, University of California, Irvine
Engineering MAE 130A. Intro to Fluid Mechanics by Roger Rangel is licensed under a Creative Commons AttributionShareAlike 4.0 International License.
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This course introduces thermodynamic principles; open and closed systems representative of engineering problems; and first and second law of thermodynamics with applications to engineering systems and design. Topics include: thermodynamic concepts, thermodynamic properties, the first law of thermodynamics, first law analysis for a control volume, the second law of thermodynamics, entropy, and second law analysis for a control volume.
MAE 91: Introduction to Thermodynamics
Authors:

Roger Rangel Ph.D.
 Mechanical & Aerospace Engineering, Engineering, University of California, Irvine
Mechanical and Aerospace Engineering 91: Introduction to Thermodynamics by Roger Rangel is licensed under a Creative Commons AttributionShareAlike 3.0 Unported License.
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Lectures
This course helps students develop computational programming skills and gain experience with computational tools to be used in the solution of engineering problems. Topics include: Introduction to Computing, Basic Matlab commands, Arrays: onedimensional and multidimensional, Flow control, Selective execution, Repetitive execution and iterations, Input and Output, Modular Programming: Functions, Plotting, and Advanced data types.
Mechanical and Aerospace Engineering 10: Introduction to Engineering Computations
Authors:

Paul Nissenson
 Mechanical Engineering, Engineering, California State Polytechnic University, Pomona
MAE 10: Introduction to Engineering Computations by Paul Nissenson is licensed under a Creative Commons AttributionShareAlike 3.0 Unported License.
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Lectures
Final Exam
Manufacturing processes can be organized by considering the type of energy required to shape the workpiece. In this course, sources of energy considered for machining are mechanical used for cutting and shaping, heat energy such as in laser cutting, photochemical such as in photolithography, and chemical energy such as in electro chemical machining and chemical vapor deposition (CVD). Students, guided by product specifications and a design will decide: 1) When to apply mechanical machining vs. lithography based machining, 2) What type of mechanical machining and what type of lithography based machining to apply, 3) When to employ bottomup vs. topdown manufacturing, 4) When to choose serial, batch or continuous manufacturing and 5) What rapid prototyping method to select. A logical decision tree will be presented to sort the machining options. Examples from a variety of products ranging in size from nanometers to centimeters will be considered.
Mechanical and Aerospace Engineering 165: Advanced Manufacturing Choices
Authors:

Marc Madou
 Biomedical Engineering, Engineering, University of California, Irvine
Mechanical and Aerospace Engineering 165: Advanced Manufacturing Choices by Marc Madou is licensed under a Creative Commons AttributionShareAlike 3.0 Unported License.
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Course Practicums
CEE 20: Introduction to Computational Engineering Problem Solving
Authors:

Jasper Vrugt Ph.D.
 Civil and Environmental Engineering, Engineering, University of California, Irvine
Engineering CEE 20. Introduction to Computer Engineering Problem Solving by Jasper Alexander Vrugt is licensed under a Creative Commons AttributionShareAlike 3.0 Unported License.
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Lectures
Biomems 2011
Authors:

Marc Madou
 Biomedical Engineering, Engineering, University of California, Irvine
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There are no related resourcesHealth Sciences
This course presents the overarching framework, principles, and core responsibilities of public health research and practice from a multidisciplinary perspective. The course also provides the necessary foundation for further studies toward advanced crosscutting approaches essential for public health practice.
Foundations of Public Health: Pub Hlth 200
Authors:

Oladele Ogunseitan
 Population Health and Disease Prevention, Social Ecology, University of California, Irvine
Foundations of Public Health: Pub Hlth 200 by Oladele Ogunseitan is licensed under a Creative Commons AttributionShare Alike 3.0 United States License.
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Provides training for students with an interest in clinical and translational research in the health care setting. Cultivates skills for study design, research literature review, ethics, responsible conduct of research, and cultural competence while emphasizing professionalism and personal responsibility.
PubHlth 194A: Clinical and Translational Research Preparatory I
Authors:

Shahram Lotfipour
 Emergency Medicine, Medicine, University of California, Irvine
Oladele Ogunseitan
 Population Health and Disease Prevention, Social Ecology, University of California, Irvine
Dan Cooper
 Immunology, Medicine, University of California, Irvine
PUBHLTH 194A: Clinical and Translational Research Preparatory I is licensed under a Creative Commons AttributionShareAlike 3.0 Unported License.
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Lecture
This course prrovides direct opportunities for Public Health majors to observe and participate in public health activities and/or research; and to cultivate skills for verbal and written communication of contemporary public health topics for an integrative culminating experience.
PubHlth 195W: Public Health Practicum and Culminating Experience
Authors:

Oladele Ogunseitan Ph.D.
 Population Health and Disease Prevention, Social Ecology, University of California, Irvine
PubHlth 195W by Oladele Ogunstein is licensed under a Creative Commons AttributionShareAlike 3.0 Unported License.
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Lectures
Student participatory course practicing initiation, planning, and coordination of various speakers on the subject of Disparities in Health Care. Topics in this course include: mental health, Health Care financing, religion and spirituality in health, immigration and medical care, women's health, geriatrics, and prison health.
PubHlth 91: Disparities in Health Care
Authors:

Oladele Ogunseitan Ph.D.
 Population Health and Disease Prevention, Social Ecology, University of California, Irvine
Various Authors
PubHlth 91: Disparities in Health Care by Oladele Ogunseitan is licensed under a Creative Commons AttributionShareAlike 3.0 Unported License.
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Lectures
Introduces the major concepts and principles of public health and the determinants of health status in communities. Emphasizes the ecological model that focuses on the linkages and relationships among multiple natural and social determinants affecting health. Course may be offered online.
PubHlth1: Principles of Public Health
Authors:

Zuzana Bic
 Public Health, Health Sciences, University of California, Irvine
PubHlth1: Principles of Public Health by Zuzana Bic is licensed under a Creative Commons AttributionShareAlike 3.0 Unported License.
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Lectures
Humanities
Classics 170A: Religion & Law in Ancient Greece
Authors:

Andromache Karanika
 Classics, Humanities, University of California, Irvine
Classics 170A: Religion & Law in Ancient Greece by Professor Andromache Karanika is licensed under a Creative Commons AttributionNoncommercialNo Derivative Works 3.0 United States License.
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Course Files
African American Studies 40A: African American Studies
Authors:

Bridget Cooks
 Art History, Humanities, University of California, Irvine
African American Studies 40A: African American Studies by Bridget Cooks is licensed under a Creative Commons AttributionNoncommercialShare Alike 3.0 United States License.
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Course Materials
Library
Do you have an assignment to write a research paper but youâ€™re not sure where to start? Take a deep breath and begin by carefully reading the assignment requirements. This will help you understand the work you need to do.
Research Tutorial
Authors:

Catherine Palmer
 Librarian, Libraries, University of California, Irvine
This work (Research Tutorial by Palmer, Catherine) is licensed under a Creative Commons AttributionShareAlike 3.0 United States License.
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Science Information Tutorial
Authors:

Catherine Palmer
 Librarian, Libraries, University of California, Irvine
Science Information Tutorial by Cathy Palmer, Jeanine Scaramozzino, Mitchell Brown, John Sisson, Julia Gelfand is licensed under a Creative Commons AttributionNoncommercialShare Alike 3.0 United States License.
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Info!
There are no related resourcesPhysical Sciences
This course is listed as Physics 255: General Relativity in the UCI course catalogue.
An introduction to Einsteinâ€™s theory of gravitation. Tensor analysis, Einsteinâ€™s field equations, astronomical tests of Einsteinâ€™s theory, gravitational waves.
Link to Prof. Hamber's home page: http://aeneas.ps.uci.edu/
Einstein's General Relativity and Gravitation
Authors:

Herbert Hamber
 Physics & Astronomy, Physical Sciences, University of California, Irvine
"Einstein's General Relativity and Gravitation" by Herbert W. Hamber, Ph.D. is licensed under a Creative Commons AttributionShareAlike 4.0 Unported License.
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Student Presentations
Physics 20B: Cosmology
Authors:

James Bullock Ph.D.
 Physics & Astronomy, Physical Sciences, University of California, Irvine
Physics 20B: Cosmology by James Bullock is licensed under a Creative Commons AttributionShareAlike 3.0 Unported License.
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Lectures
An overview of the scientific quest to discover life elsewhere in the universe. Topics include the origin of life on Earth, Mars, extrasolar planets, interstellar travel, and extraterrestrial intelligence.
Physics 20E: Life in the Universe
Authors:

James Bullock
 Physics & Astronomy, Physical Sciences, University of California, Irvine
Physics 20E: Life in the Universe by Bullock, James is licensed under a Creative Commons AttributionShareAlike 3.0 United States License.
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Lecture Videos
Have you ever wondered if Superman could really fly? What was Spiderman's spidey sense? How did Wonder Woman's invisible jet work? What does it really mean for something to be a scientific "fact"? Explore how science works and what constitutes "good" science through case studies drawn from a wide spectrum of people's experience, for example superheros, movies, and real world issues such as global warming. The case studies will provide the change to act as science critics as the students develop a better appreciation for science and the scientific method.
Physics 21: Science from Superheroes to Global Warming
Authors:

Michael Dennin
 Physics & Astronomy, Physical Sciences, University of California, Irvine
This work is licensed under a Creative Commons AttributionNoncommercialNo Derivative Works 3.0 United States License.
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Syllabus
Science Literacy
Numbers and Equations
Science Methodology
Scientific Community
Classical Mechanics
Superhero Week!
More Science
Science Fiction or Science Fact
Science and Society
The Final Frontier
Introduction to basic physics. This course will introduce the conceptual and mathematical framework for kinematics and Newtonian dynamics, and also to teach problem solving techniques that are used in Physics. Other topics include: vectors; motion, force, and energy.
Physics 3A: Basic Physics
Authors:

Michael Dennin Ph.D.
 Physics & Astronomy, Physical Sciences, University of California, Irvine
Physics 3A. Basic Physics by Michael Dennin is licensed under a Creative Commons AttributionShareAlike 3.0 Unported License.
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Second part of the Basic Physics 3 series. This course covers topics such as: fluid mechanics, thermodynamics,electrostatics (including dc circuits), magnetism (including eletromagnetic induction). The course assumes a working knowledge of calculus and trigonometry.
Physics 3B: Basic Physics II
Authors:

Roger McWilliams Ph.D.
 Physics & Astronomy, Physical Sciences, University of California, Irvine
Physics 3B: Basic Physics II by Roger McWilliams is licensed under a Creative Commons AttributionShareAlike 3.0 Unported License.
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Lectures
This is the third and final course of the Physics 3 series. The course focuses primarily on waves but the concepts of force and energy will continue to be important, as well. Specific topics include waves and sound, optics, quantum concepts, atomic and nuclear physics, and relativity.
Physics 3C: Basic Physics III
Authors:

Michael Smy Ph.D.
 Physics & Astronomy, Physical Sciences, University of California, Irvine
Physics 3C: Basic Physics III by Michael Smy is licensed under a Creative Commons AttributionShareAlike 3.0 Unported License.
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Lectures
Mathematica and its applications to linear algebra, differential equations, and complex functions. Fourier series and Fourier transforms. Other topics in integral transforms.
Filmed Spring 2014.
Physics 50: Math Methods
Authors:

Michael Dennin
 Physics & Astronomy, Physical Sciences, University of California, Irvine
Physics 50: Math Methods by Michael Dennin is licensed under a Creative Commons AttributionShareAlike 4.0 Unported License.
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This course will show you how to apply simple physics models to the motion of objects. UCI Physics 7C covers the following topics: force, energy, momentum, rotation, and gravity.
Physics 7C: Classical Physics
Authors:

Daniel Whiteson
 Physics & Astronomy, Physical Sciences, University of California, Irvine
Physics 7C: Classical Physics by Daniel Whiteson, Ph.D. is licensed under a Creative Commons AttributionShareAlike 4.0 International License.
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This course is intended for both mathematics and biology undergrads with a basic mathematics background, and it consists of an introduction to modeling biological problems using continuous ODE methods (rather than discrete methods as used in 113A). We describe the basic qualitative behavior of dynamical systems in the context of a simple population model. As time allows, we will then discuss other types of models such as chemical reactions inside the cell, or excitable systems leading to oscillations and neuronal signals. The necessary linear algebra is also discussed to avoid including additional requirements for this course.
Math 113B: Intro to Mathematical Modeling in Biology
Authors:

German Andres Enciso Ruiz
 Mathematics, Physical Sciences, University of California, Irvine
Math 113B: Intro to Mathematical Modeling in Biology by GermÃ¡n A. Enciso is licensed under a Creative Commons AttributionShareAlike 4.0 International License.
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Introductory course covering basic principles of probability and statistical inference. Topics covered in this course: Axiomatic definition of probability, random variables, probability distributions, expectation.
Math 131A: Introduction to Probability and Statistics
Authors:

Michael C. Cranston Ph.D.
 Mathematics, Physical Sciences, University of California, Irvine
Math 131A: Introduction to Probability and Statistics by Michael C. Cranston is licensed under a Creative Commons AttributionShareAlike 3.0 Unported License.
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Math 131B: Introduction to Probability and Statistics
Authors:

Michael C. Cranston Ph.D.
 Mathematics, Physical Sciences, University of California, Irvine
Math 131B: Introduction to Probability and Statistics by Michael C. Cranston is licensed under a Creative Commons AttributionShareAlike 3.0 Unported License.
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After reviewing tools from probability, statistics, and elementary differential and partial differential equations, concepts such as hedging, arbitrage, Puts, Calls, the design of portfolios, the derivation and solution of the BlacScholes, and other equations are discussed.
Math 176: Math of Finance
Authors:

Donald Saari Ph.D.
 Mathematics, Physical Sciences, University of California, Irvine
â€‹
Math 176: Math of Finance by Donald Saari is licensed under a Creative Commons AttributionShareAlike 4.0 International License.
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This PreCalculus course is designed to prepare students for a calculus course. This course is taught so that students will acquire a solid foundation in algebra and trigonometry. The course concentrates on the various functions that are important to the study of the calculus.
Math 1A/1B: PreCalculus
Authors:

Sarah Eichhorn
 Mathematics, Physical Sciences, University of California, Irvine
Rachel Lehman
 Mathematics, Physical Sciences, University of California, Irvine
Math 1A/1B: PreCalculus by Dr. Sarah Eichorn and Dr. Rachel Lehman is licensed under a Creative Commons AttributionShareAlike 4.0 International License.
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Introduction
Algebra and Geometry Review
Functions and Graphs
Polynomials and Rational Functions
Exponentials and Logarithms
Trigonometry
UCI Math 2A is the first quarter in SingleVariable Calculus and covers the following topics: Introduction to derivatives, calculation of derivatives of algebraic and trigonometric functions; applications including curve sketching, related rates, and optimization. Exponential and logarithm functions.
Math 2A: Calculus I
Authors:

German Andres Enciso Ruiz
 Mathematics, Physical Sciences, University of California, Irvine
Math 2A. Calculus by German Andres Enciso Ruiz is licensed under a Creative Commons AttributionShareAlike 3.0 Unported License.
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Math 2B is the second quarter of SingleVariable Calculus and covers the following topics: Definite integrals; the fundamental theorem of calculus. Applications of integration including finding areas and volumes. Techniques of integration. Infinite sequences and series. Parametric and polar equations.
Math 2B: Calculus
Authors:

Natalia Komarova
 Mathematics, Physical Sciences, University of California, Irvine
Math 2B Calculus by Natalia Komarova is licensed under a Creative Commons AttributionShareAlike 3.0 Unported License.
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In this course, students will learn basic linear algebra necessary to understand the operations regarding derivatives of functions with more than one variable to investigate maximum and minimum values of those functions with economics applications in mind. Students will also see how to solve linear systems and then how to turn them into problems involving matrices, then learn some of the important properties of matrices. This course will focus on topics in linear algebra and multivariable differential calculus suitable for economic applications. Recorded Summer 2013.
Math 4: Math for Economists
Authors:

Jason Kronewetter Ph.D.