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University of California, Irvine
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Courseware
UCI Math 2A is the first quarter in Single-Variable 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.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Calculus
- Resource Type:
- Courseware
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Courseware
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.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Precalculus Trigonometry Algebra
- Resource Type:
- Courseware
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Courseware
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 Blac-Scholes, and other equations are discussed.
- Subjects:
- Finance and Mathematics and Statistics
- Keywords:
- Business mathematics
- Resource Type:
- Courseware
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Courseware
Second introductory course covering basic principles of probability and statistical inference. Topics: Point estimation, interval estimating, and testing hypotheses, Bayesian approaches to inference.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Probabilities Mathematical statistics
- Resource Type:
- Courseware
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Courseware
Introductory course covering basic principles of probability and statistical inference. Topics covered in this course: Axiomatic definition of probability, random variables, probability distributions, expectation.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Probabilities Mathematical statistics
- Resource Type:
- Courseware
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Courseware
This course is intended for both mathematics and biology undergrads with a basic mathematics background, and 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 and, as time allows, introduce other types of models such as chemical reactions inside the cell or excitable systems leading to oscillations and neuronal signals. Certain topics from linear algebra that are needed for this course are presented as well, so a linear algebra prerequisite is not necessary.
- Subjects:
- Mathematics and Statistics and Biology
- Keywords:
- Biology -- Mathematical models
- Resource Type:
- Courseware
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Courseware
An introduction to Einstein’s theory of gravitation. Tensor analysis, Einstein’s field equations, astronomical tests of Einstein’s theory, gravitational waves.
- Subjects:
- Physics
- Keywords:
- Gravitation General relativity (Physics) Einstein Albert 1879-1955
- Resource Type:
- Courseware
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Courseware
The composition and circulation of the atmosphere with a focus on explaining the fundamentals of weather and climate. Topics include solar and terrestrial radiation, clouds, and weather patterns.
- Subjects:
- Environmental Sciences
- Keywords:
- Atmosphere Climatology Meteorology
- Resource Type:
- Courseware
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Courseware
Each quarter is devoted to current topics in the field of Earth System Science. Topics addressed vary each quarter. For this course, topics discussed include: climate change, biodiversity, demographics, transportation and urban systems, cost-benefit analysis, negative impacts on the environment, environmental policy, and sustainability.
- Subjects:
- Environmental Sciences
- Keywords:
- Climatic changes Earth sciences
- Resource Type:
- Courseware
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Courseware
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.
- Subjects:
- Environmental Sciences
- Keywords:
- Cryosphere Climatic changes
- Resource Type:
- Courseware