Math materials for self-study (as prerequisites)
ATTENTION: Having confidence in relevant concepts in calculus, linear algebra, and statistics is crucial to ensure a smooth learning experience. If not, you must learn the following self-study materials before the course starts:
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Calculus: Schaum's Outlines: Advanced Calculus (3rd Edition)
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Functions; Graph of a Function; Maxima and Minima; Continuity: Chapter 3
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Derivatives; Differentiability; The Differentiation of Composite Functions; Rules for Differentiation (chain rule); Derivatives of Elementary Functions: Chapter 4
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Functions of Two or More Variables; Continuity; Partial Derivatives; Differentiation of Composite Functions: Chapter 6
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Linear Algebra: Schaum's Outlines: Linear Algebra (4th Edition)
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Vectors and Matrices; Matrix operations: Chapters 1.1 - 1.6; 2.1 - 2.7
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Systems of Linear Equations: Chapters 3.1 - 3.5
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Vector Spaces: Chapters 4.1 - 4.9
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Inner Product Spaces; Orthogonality: Chapters 7.1 - 7.3, 7.5, 7.6
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Determinants: Chapters 8.1 - 8.3
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Diagonalization; Eigenvalues and Eigenvectors: Chapters 9.1 - 9.5
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Statistics: Schaum's Outlines: Introduction to Probability and Statistics
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Descriptive Statistics: Chapters 1.1 - 1.10
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Sets and Counting: Chapters 2.1 - 2.14
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Basic Probability: Chapters 3.1 - 3.7
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Conditional Probability and Independence: Chapters 4.1 - 4.6
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Random Variables and Probability Distributions: Chapters 5.1 - 5.11
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Binomial and Normal Distributions: Chapters 6.1 - 6.5