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  • Courseware 
    Math 131B: Introduction to Probability and Statistics

    Math 131B: Introduction to Probability and Statistics

    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
     
  • Courseware 
    Math 131A: Introduction to Probability and Statistics

    Math 131A: Introduction to Probability and Statistics

    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
     
  • Courseware 
    Math 113B: Intro to Mathematical Modeling in Biology

    Math 113B: Intro to Mathematical Modeling in Biology

    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
     
  • Courseware 
    Fundamentals of Physics I

    Fundamentals of Physics I

    This course provides a thorough introduction to the principles and methods of physics for students who have good preparation in physics and mathematics. Emphasis is placed on problem solving and quantitative reasoning. This course covers Newtonian mechanics, special relativity, gravitation, thermodynamics, and waves.

    Course related:
    AP10005 Physics I
    Subjects:
    Physics
    Keywords:
    Physics
    Resource Type:
    Courseware