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Calculus 2

A lower division undergraduate course in which students learn: 

  • Antiderivatives 

  • Integrals

  • Applications of Definite Integrals 

  • Integrals and Transcendental Functions 

  • Techniques of Integration

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Linear Algebra 2

An upper division undergraduate course in which students learn: 

  • Vector Spaces

  • Linear Transformations

  • Reduced Row Echelon Form

  • Determinants 

  • Eigenvalues and Eigenvectors 

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Rank-Nullity Theorem Proof

Regression Analysis

A graduate course mostly for masters students: 

  • Exploratory Data Analysis 

  • Linear Regression (assumptions, estimation, inference, diagnostics, transformations, variable selection, special cases)

  • Generalized Linear Models (assumptions, exponential family, estimation, inference, diagnostics, examples) 

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Applied Probability

A lower division undergraduate course: 

  • Introduction to Probability 

  • Bayes theory

  • Discrete and continuous random variables

  • Special examples of random variables 

  • Conditional and marginal distributions

  • Independence 

  • Expectation

  • Transformations of univariate random variables 

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University of California, Santa Barbara

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