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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.
Business and Management
This course is designed to give people new to the business analyst role or those who supervise business analysts a basic understanding of the functions and business impact of this role. The course provides a special focus on business analysis functions as they relate to the development of information technology solutions and the business analysis project life cycle. Course topics include the role of the business analyst, gathering and documenting user requirements, modeling the business, business case analysis, process modeling, quality management and testing.
This course is not intended to replace the professional financial planner, but to help to make the general public better consumers of financial planning advice. The course was created to help those who cannot afford extensive planning assistance better understand how to define and reach their financial goals. It provides basic understanding so informed decisions can be made. The course can also be seen as a reference for individual topics that are part of personal financial planning.
Financial planning, in the broadest sense, is an effort to manage all aspects of a person / family’s financial affairs. Classically, that begins with planning family spending and extends through risk management (insurance), taxes, wealth accumulation, investing, and wealth distribution (retirement and estate planning).
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 K-12 instruction. Emphasis is on a thorough, research-based 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.
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.
This course is listed as Physics 255: General Relativity in the UCI course catalogue.
An introduction to Einstein’s theory of gravitation. Tensor analysis, Einstein’s field equations, astronomical tests of Einstein’s theory, gravitational waves.
Link to Prof. Hamber's home page: http://aeneas.ps.uci.edu/
Please click on the green button to begin course and login as "guest." 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.
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.
This Pre-Calculus 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.
In recent decades we have observed a significant reduction of the cryosphere due to anthropogenic climate change. The observed and predicted changes in the extent and amount of snow and ice will have major impacts on climate, ecosystems and human populations both at a local and global scale. This course will introduce students to the science behind climate change as well as the physical and chemical processes that govern components of the cryosphere, including snow, permafrost, sea ice, glaciers and ice sheets. Particular emphasis will be placed on the important role that each component plays in the larger climate system and potential feedbacks. We will also examine some of the social, economic and political impacts that the melting cryosphere will have on countries around the Arctic and also worldwide, such as access to new petroleum reserves, infrastructure damage due to melting permafrost, sea level rise and decreases in freshwater availability.
- Photochemical smog
- Atmospheric particle pollution
- Indoor pollution
- Acid rain
- And human triggered climate change.
These videos are part of a 23-lecture graduate-level course titled "Organic Reaction Mechanisms II" taught at UC Irvine by Professor David Van Vranken. Topics include more in-depth treatment of mechanistic concepts, kinetics, conformational analysis, computational methods, stereoelectronics, and both solution and enzymatic catalysis.
Water is the economic, social, and physical lifeblood of humanity, providing the bases for agriculture, industry, transportation, energy production, and life itself. Despite its importance, alarming signs suggest that there are looming threats to this vital resource. The World Resources Institute contends that the world's thirst for water is likely to become one of the most pressing issues this century due to population growth, drought, and climate change. The World Bank reports that many developing nations already face a crisis from intensive irrigation, urbanization, diminishing supplies, and deteriorating infrastructure; and, UNESCO predicts as many as 7 billion people in half the world’s countries will face shortages of potable water by 2050.
The purpose of this course is to illuminate how water is a political, social, economic, and environmental challenge and to suggest ways we might manage it better and more equitably. You will be provided basic knowledge about physical aspects of water supply and quality; the evolution of water policy throughout history – and in different societies; the importance of water to human and ecological health; the role of law, politics, and markets in its allocation, regulation, and protection; and, the importance of ethics to its equitable provision. The focus of this course is competition for water, and the impacts of this competition on available supply and quality – from a global perspective. Disputes over water are not limited to less developed countries. Such conflicts are growing across the U.S., especially in the West, and in California – where water management has long been a focal point of contention.
How are people affected by overcrowding, traffic congestion, and noise? Why do people litter or vandalize their environments? How do buildings affect their occupants? Does the architectural design of apartment buildings influence patterns of neighboring and friendship formation? Why do people consume scarce environmental resources? Can residential, work, and neighborhood settings be designed to reduce stress, increase productivity, and promote physical activity? These are some of the questions that have concerned environmental psychologists.
Environmental psychology is the study of human behavior and well-being in relation to the large-scale, sociophysical environment. The term, large-scale environment, refers to places such as homes, offices, neighborhoods, and whole communities. These places can be described in terms of several physical and social dimensions, including their geographical location, architectural design, membership and social organization. The term, sociophysical environment, reflects the assumption that the physical and social dimensions of places are closely intertwined. The architectural design of a housing complex, for example, can exert a subtle but substantial impact on the friendship patterns that develop among residents. This course emphasizes the interdependence between physical and social aspects of places, rather than viewing these dimensions as separate and isolated.
This is the introduction module covering technical requirements, such as the recommended use of the Firefox browser, and how to take the course. This course is based on a self-diagnostic approach, using sample questions, guided examples, brief topical coverage, and final diagnostic questions. It is designed for rapid study for those prospective or current teachers taking the California Subject Exam for Teachers (CSET).
For future reference, please go to and bookmark this page: CSET Mathematics I: Course Introduction.
- This module covers why graphs of linear inequalities are half planes and helps yoo to apply this fact (e.g., linear programming). For the exam, you should be able to prove and use the following:
- The Rational Root Theorem for polynomials with integer coefficients
- The Factor Theorem
- The Conjugate Roots Theorem for polynomial equations with real coefficients
- The Quadratic Formula for real and complex quadratic polynomials
- The Binomial Theorem
For future reference, please visit and bookmark this page: CSET Mathematics Subtest I: Polynomial Equations and Inequalities.
The University of California, Irvine Extension, supported by generous grants from the William and Flora Hewlett Foundation and The Boeing Company, is developing online courses to prepare science and mathematics teachers for the California Subject Examinations for Teachers (CSET). The courses address the urgent need to help teachers prepare for and pass the CSET exams necessary to teach science and mathematics in California Schools. UC Irvine Extension's online test-preparation courses correspond with the 10 CSET science subtests and three CSET mathematics subtests.
This module covers why the real and complex numbers are each a field, and that particular rings are not fields (e.g. integers, polynomial rings, matrix rings).
- You will apply basic properties of real and complex numbers in constructing mathematical arguments (e.g. if a < b and c < 0, then ac > bc). You will also demonstrate your knowledge that rational numbers and real numbers can be ordered and that the complex numbers cannot be ordered, but that any polynomial equation with real coefficients can be solved in the complex field.
For future reference, please visit and bookmark this page: CSET Subtest Mathematics I: Algebraic Structures.
This module covers:
1. 1.3.0 Introduction
2. 1.3.1 Domain and Range
3. 1.3.2 Rational Functions
4. 1.3.3 Composition of Functions
5. 1.3.4 Inverse Functions and One-to-One Functions
6. 1.3.5 Radical Functions
7. 1.3.6 Even and odd Functions
8. 1.3.7 Exponential Functions
9. 1.3.8 Logarithmic Functions
For future reference, please visit and bookmark this page: CSET Mathematics Subtest I: Functions.
- Tectonic Processes I: Continental Drift
- Tectonic Processes II: Seafloor Spreading and Plate Tectonics
- Tectonic Processes III: Thermal Processes
- Tectonic Processes IV: Types of Plate Boundaries
- Tectonic Processes V: Volcanoes, Earthquakes, and Earth Resource
- Tectonic Processes VI: Earthquake Processes and Their Roles
- Rock Formation I: The Rock Cycle
- Rock Formation II: Relative and Absolute Dating
- Rock Formation III: Uniformitarianism and Catastrophism
- Earth's Surface I: Erosion, Deposition, and Transport
- Earth's Surface II: Coastal Processes
- Earth's Surface III: Natural Hazards
- Energy in the Earth System: The Water Cycle
- Energy in the Earth System: Changes in the Sky
- Energy in the Earth System: Heating of the Earth by the Sun
- Energy in the Earth System: Air Movements' Effect on Weather
- Energy in the Earth System: Energy Transfer Processes
- Energy in the Earth System: Predicting Weather Patterns.
The University of California, Irvine Extension, supported by generous grants from the William and Flora Hewlett Foundation and The Boeing Company, is developing online courses to prepare science and mathematics teachers for the California Subject Examinations for Teachers (CSET). This module is part of the preparation for CSET Science Subtest I. It covers: (1) California's Fresh Water; (2) Fossil Fuels; (3) Energy from Nuclear Reactors; (4) Renewable Sources of Energy; (5) Recycling; and (6) California's Major Natural Resources.
The University of California, Irvine Extension, supported by generous grants from the William and Flora Hewlett Foundation and The Boeing Company, is developing online courses to prepare science and mathematics teachers for the California Subject Examinations for Teachers (CSET). This module is part of the preparation for CSET Science Subtest I. It covers: 1. How We See 2. Types of Waves 3. Wave Calculations 4. Reflection 5. Superposition, Standing Waves, and Beats 6. Diffraction and Youngs Double Slit Experiment 7. The Doppler Effect and Polarization 8. Refraction 9. Lenses
Be sure to check out How to Take This Course.
The University of California, Irvine Extension, supported by generous grants from the William and Flora Hewlett Foundation and The Boeing Company, is developing online courses to prepare science and mathematics teachers for the California Subject Examinations for Teachers (CSET). This module is part of the preparation for CSET Science Subtest II.
This module includes the following chemistry topics:
- History of Thermodynamics
- Conservation of Energy
- Heat Transfer and Changes in Temperature
- Conduction, Convection, & Radiation
- How Chemical Energy in Fuel is Transformed into Heat
- Physical vs. Chemical Changes
This module includes the following chemistry topics:
- Chemical Compounds Found in Living Organisms
- Structure and Function of Molecules in Living Organisms
- What is Protein and how is it Made?
This module includes the following chemistry topics:
- Atoms and Isotopes
- Atoms, Molecules, Elements, Compounds, Mixtures
- States of Matter
- Physical Properties of Matter
- Unique Physical Properties of Chemical Substances
- Chemical Changes
- Acids and Bases
- The Periodic Table
- Position in the Periodic Table
- Organic and Inorganic Compounds
- The Role of Carbon
This is an open course in adjective clauses of English grammar. It starts with a lesson on the basics of adjectives and then moves to a lesson on the basics of clauses. Then we put those things together and learn about adjective clauses. Finally, we learn how to reduce an adjective clause to make an adjective phrase. If you already understand adjectives and clauses, you can skip those topics, but they also may be useful to review before starting the more difficult material. When you begin this course and enter the "UCI Learn" page, click on "log in as guest."
Please click on start course and "login as a guest" to begin this course. This course is designed to improve your international Business English communication skills to further advance your career or succeed in one of UCI Extension's Accelerated Certificate Programs. Learn more about doing business in the U.S. as well as internationally. Students will study business concepts, business English, and enhance cross-cultural communications skills for business and professional settings.
This is an open course in noun clauses of English grammar. It starts with a lesson on the basics of nouns and then moves to a lesson on the basics of clauses. Then we put those things together and learn about noun clauses. Finally, we learn how to reduce a noun clause. If you already understand nouns and clauses, you can skip those topics, but they also may be useful to review before starting the more difficult material. When you begin this course and enter the "UCI Learn" page, click on "log in as guest."