(University of Nevada Reno, Spring 2023)
(University of Nevada Reno, Fall 2021, Spring 2023)
Reading materials through the semester:
Elements of Statistical Learning (ESL)
Introduction to Statistical Learning (ISL)
(University of Nevada Reno, Fall 2022)
(University of Nevada Reno, Fall 2021)
Linear Algebra is an extensive branch of modern mathematics. It grew out of the study of systems of linear equations and how to solve them. The course will start by the introduction of matrices and its associated algebraic operations. Matrices are the first step in making systems of linear equations more abstract, leading to the notion of vector spaces which lie at the heart of many branches of modern science. We will study vector spaces and operators between vector spaces. If time allows, we will introduce symmetric matrices and their properties. The course also enriches students' exposure to elementary linear algebra and prepares them for studying more advanced courses in mathematics, engineering and science.(Auburn University, Fall 2019, Spring 2020)
Introduction to statistical concepts, reasoning and methods used in data analysis, descriptive statistics, sampling distributions, statistical inference, confidence intervals, regression or correlation, contingency tables.
(Auburn University, Summer 2017)
Matrices, row-reduction, systems of linear equations, (finite-dimensional) vector spaces, subspaces, bases, dimension, change of basis, linear transformations, kernels, orthogonality, Gram-Schmidt.
(Auburn University, Fall 2017)
Multivariate calculus: vector-valued functions, partial derivatives, multiple integration, vector calculus.
(Auburn University, Spring 2018, Spring 2019)
Techniques of integration, applications of the integral, parametric equations, polar coordinates. Vectors, lines and planes in space. Infinite sequences and series.
(Auburn University, Fall 2016, Spring 2017, Summer 2019)
Limits, the derivative of algebraic, trigonometric, exponential, logarithmic functions. Applications of the derivative, antiderivatives, the definite integral and applications to area problems, the fundamental theorem of calculus.
(Auburn University, Summer 2018)
Preparatory course for the calculus sequence. Basic analytic and geometric properties of the trigonometric functions. Complex numbers, De Moivre'e Theorem, polar coordinates.
(Auburn University, Fall 2019)
Preparatory course for calculus. Basic analytic and geometric rties of trigonometric functions. Complex numbers, De Moivre's Theorem, polar coordinates.
(Auburn University, Spring 2020)
(Auburn University, Fall 2015, Spring 2016)