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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.

A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

Now students can bring home the classroom expertise of McGraw-Hill to help them sharpen their math skills! McGraw-Hill's Math Grade 7 helps your middle-school student learn and practice basic math skills he or she will need in the classroom and on standardized NCLB tests. Its attractive four-color page design creates a student-friendly learning experience, and all pages are filled to the brim with activities for maximum educational value. All content aligned to state and national standards "You Know It!" features reinforce mastery of learned skills before introducing new material "Reality Check" features link skills to real-world applications "Find Out About It" features lead students to explore other media "World of Words" features promote language acquisition Discover more inside: A week-by-week summer study plan to be used as a "summer bridge" learning and reinforcement program Each lesson ends with self-assessment that includes items reviewing concepts taught in previous lessons Intervention features address special-needs students Topics include: Addition; Subtraction; Multiplication; Division; Fractions; Adding and Subtracting Fractions; Multiplying and Dividing Fractions; Geometry; Customary Measurements; Metric Measurements

Making mathematics concepts understandable is a challenge for any teacher--a challenge that's more complex when a classroom includes students with learning difficulties. With this highly practical resource, educators will have just what they need to teach mathematics with confidence: research-based strategies that really work with students who have learning disabilities, ADHD, or mild cognitive disabilities. This urgently needed guidebook helps teachers Understand why students struggle.Teachers will discover how the common learning characteristics of students with learning difficulties create barriers to understanding mathematics. Review the Big Ideas. Are teachers focusing on the right things? A helpful primer on major NCTM-endorsed mathematical concepts and processes helps them be sure. Directly address students' learning barriers. With the lesson plans, practical strategies, photocopiable information-gathering forms, and online strategies in action, teachers will have concrete ways to help students grasp mathematical concepts, improve their proficiency, and generalize knowledge in multiple contexts. Check their own strengths and needs. Educators will reflect critically on their current practices with a thought-provoking questionnaire. With this timely book--filled with invaluable ideas and strategies adaptable for grades K-12--educators will know just what to teach and how to teach it to students with learning difficulties.

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