Mathematics is fundamental to data science and machine learning. This course reviews essential mathematical concepts and procedures which are fundamental. These concepts are illustrated by Python and/or R code and by many visualizations. This course discusses mathematical concepts and computational methods for data science using simple self-contained examples, intuition and visualization. These examples will help develop intuitive explanations behind mathematical concepts. Extensive visualizations will be used to illustrate core mathematical concepts. The emphasis is both on mathematics and computational algorithms that are at the heart of many algorithms for data analysis and machine learning. This course will advance students mathematical skills that can be used effectively in data analytics and machine learning. Prerequisite: Basic knowledge of Python or R. Or instructor's consent.