Titlebook: Exploring University Mathematics with Python; Siri Chongchitnan Textbook 2023 The Editor(s) (if applicable) and The Author(s), under exclu

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Calculus,rious techniques of differentiation and integration using stock formulae and tricks. This approach only scratches the surface of what has to be one of the most profound mathematical inventions that have helped us understand the physical world and the laws of nature.

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Abstract Algebra and Number Theory,nd expanding or factorising expressions in . and .. At university, algebra is a pure mathematics subject concerned with abstract structures like ., . and ., as well as their properties and mappings between them.

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Wiebke Landwehr,Corinna Wolf,Joachim WinkMathematical modelling of real world phenomena usually requires an understanding how a system evolves over time. If the change is continuous over time, then a . can be used to model the system.

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Mauricio León,Hugo Sovino,Juan Luis AlcazarLinear algebra introduces students to abstract concepts associated with vectors and matrices. Some students may have already worked with matrices at school (some may even know how to calculate a 3 × 3 determinant), but it is only at university that matrices are viewed as objects in a ..

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https://doi.org/10.1007/978-1-4302-4918-4Statistics refers to the science of collection, analysis and interpretation of data. We will use probability theory to help us describe data mathematically, and make inferences about the population given the data.

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Vector Calculus and Geometry,Vector calculus is a generalisation of calculus concepts (i.e. differentiation and integration) from . to .. Sometimes called . or ., this is one of the core topics in any mathematics course.

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Linear Algebra,Linear algebra introduces students to abstract concepts associated with vectors and matrices. Some students may have already worked with matrices at school (some may even know how to calculate a 3 × 3 determinant), but it is only at university that matrices are viewed as objects in a ..

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Statistics,Statistics refers to the science of collection, analysis and interpretation of data. We will use probability theory to help us describe data mathematically, and make inferences about the population given the data.