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Carlo Mariconda,
Alberto Tonolo,
Francis Clarke,
Valentina Franceschi,
and
Francesco Mattiello
Topics Covered
- Numbers: integers, rationals, real numbers, absolute value, induction.
- Functions: graphs, integer powers, roots and radicals, rational powers.
- Algebra: polynomials and their roots, quadratic polynomials, polynomial division, finding roots, binomial coefficients.
- Equations: types of equations, equivalence, polynomial equations, equations involving a radical, equations with several radicals/with absolute values, equations in several variables.
- Inequalities: linear and polynomial inequalities, inequalities involving radicals and absolute values.
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Reading list
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James Stewart's Precalculus: Mathematics for Calculus comprehensive and well-respected textbook that provides a solid foundation for students planning to study Calculus. It covers a wide range of topics in depth, including functions, limits, derivatives, and integrals, and includes numerous practice exercises and real-world applications.
Precalculus with Limits by Ron Larson popular textbook that focuses on developing students' understanding of the concepts of Precalculus and their applications. It emphasizes connections between algebraic and graphical representations and includes numerous examples and exercises to help students develop their problem-solving skills.
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Gilbert Strang's Precalculus: Graphs and Models unique and engaging textbook that emphasizes the graphical and conceptual aspects of Precalculus. It provides a solid foundation for students who wish to pursue STEM fields and includes numerous interactive examples and activities to help students visualize and understand the concepts.
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Trigonometry for Precalculus by Michael Sullivan comprehensive textbook that focuses on developing students' understanding of trigonometric functions and their applications. It covers a wide range of topics, including angles, triangles, and identities, and includes numerous practice exercises and real-world applications.
Algebra and Trigonometry for Precalculus by Richard N. Aufmann well-respected textbook that provides a thorough review of Algebra and Trigonometry. It is suitable for students who need to strengthen their foundation in these subjects before moving on to Precalculus and is written in a clear and accessible style.
Precalculus: A Unit Circle Approach by David Cohen is an innovative textbook that uses the unit circle as a unifying concept for understanding Precalculus. It covers a wide range of topics, including functions, trigonometry, and analytic geometry, and is suitable for students who wish to develop a deeper understanding of the subject.
Precalculus: A Problem-Oriented Approach by Charles P. McKeague unique textbook that emphasizes problem-solving and critical thinking skills. It covers a wide range of topics, including functions, trigonometry, and analytic geometry, and is suitable for students who wish to develop their problem-solving abilities.
Precalculus with Trigonometry: Concepts and Applications by Paul A. Foerster comprehensive and well-respected textbook that provides a thorough review of Algebra and Trigonometry and their applications to Precalculus. It is suitable for students who need to strengthen their foundation in these subjects and is written in a clear and accessible style.
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Precalculus: An Integrated Approach by Margaret L. Lial textbook that integrates the topics of Algebra, Trigonometry, and Analytic Geometry into a single cohesive unit. It is suitable for students who wish to develop a deeper understanding of the interconnections between these subjects and is written in a clear and accessible style.
Precalculus: A Functional Approach to Graphing and Problem Solving by Larson textbook that emphasizes the graphical and functional aspects of Precalculus. It covers a wide range of topics, including functions, graphs, and trigonometry, and is suitable for students who wish to develop their problem-solving skills and their understanding of the graphical nature of Precalculus.
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Precalculus: A Prelude to Calculus by David Lippman textbook that provides a gentle introduction to the concepts of Precalculus. It covers a wide range of topics, including functions, graphs, and trigonometry, and is suitable for students who need a thorough review of Algebra and Trigonometry before moving on to Precalculus.
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Precalculus: Concepts Through Functions by Michael Sullivan textbook that emphasizes the concept of functions as a unifying theme throughout Precalculus. It covers a wide range of topics, including functions, graphs, and trigonometry, and is suitable for students who wish to develop a deeper understanding of the role of functions in Precalculus.
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Provides a comprehensive overview of functions and graphs, covering topics such as linear functions, polynomials, rational functions, exponential functions, and logarithmic functions. It is suitable for students with a basic understanding of algebra.
Provides a rigorous introduction to calculus, including topics such as limits, derivatives, integrals, and differential equations. It is suitable for students with a strong background in algebra and trigonometry.
Provides a comprehensive introduction to linear algebra, covering topics such as vector spaces, matrices, determinants, and eigenvalues. It is suitable for students with a basic understanding of algebra.
Provides a comprehensive introduction to mathematical statistics, covering topics such as probability, sampling, and hypothesis testing. It is suitable for students with a strong background in calculus.
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Provides a comprehensive introduction to computer science, covering topics such as programming, data structures, and algorithms. It is suitable for students with a basic understanding of mathematics.
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Provides a comprehensive introduction to artificial intelligence, covering topics such as machine learning, natural language processing, and computer vision. It is suitable for students with a strong background in mathematics and computer science.
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Provides a comprehensive introduction to machine learning, covering topics such as supervised learning, unsupervised learning, and reinforcement learning. It is suitable for students with a strong background in mathematics and computer science.
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Provides a comprehensive introduction to deep learning, covering topics such as neural networks, convolutional neural networks, and recurrent neural networks. It is suitable for students with a strong background in mathematics and computer science.
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