Exercises In Certificate Mathematics

Certificate Mathematics is a two-year revision course for students following the General Proficiency Syllabus in Mathematics of the Caribbean Examinations Council. It provides a programme for thorough review and consolidation of all the basic aspects of mathematics needed for success in the examination. The fourth edition of this extremely popular and successful textbook. Takes account of the latest changes to the CXC syllabuses. Incorporates a very large number of graded exercises to help student's "learn by doing". Includes chapter summaries and points to remember that enhance the usefulness of the book for consolidation and revision. Contains specimen tests in preparation for the multiple choice and long answer papers of the CXC examination. Used systematically, Certificate Mathematics will provide students with a firm foundation for success in their CXC mathematics examinations.

The fundamental mathematical tools needed to understand machine learning include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, probability and statistics. These topics are traditionally taught in disparate courses, making it hard for data science or computer science students, or professionals, to efficiently learn the mathematics. This self-contained textbook bridges the gap between mathematical and machine learning texts, introducing the mathematical concepts with a minimum of prerequisites. It uses these concepts to derive four central machine learning methods: linear regression, principal component analysis, Gaussian mixture models and support vector machines. For students and others with a mathematical background, these derivations provide a starting point to machine learning texts. For those learning the mathematics for the first time, the methods help build intuition and practical experience with applying mathematical concepts. Every chapter includes worked examples and exercises to test understanding. Programming tutorials are offered on the book's web site.