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Differential Calculus through Data and Modeling

Differential Calculus through Data and Modeling

This specialization provides an introduction to topics in single and multivariable calculus, and focuses on using calculus to address questions in the natural and social sciences. Students will learn to use the tools of calculus to process, analyze, and interpret data, and to communicate meaningful results, using scientific computing and mathematical modeling. Topics include functions as models of data, differential and integral calculus of functions of one and several variables, differential equations, and optimization and estimation techniques.

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  • English
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Calculus through Data & Modeling: Precalculus Review

Calculus through Data & Modeling: Precalculus Review

This course is an applications-oriented, investigative approach to the study of the mathematical topics needed for further coursework in single and multivariable calculus. The unifying theme is the study of functions, including polynomial, rational, exponential, logarithmic, and trigonometric functions. An emphasis is placed on using these functions to model and analyze data. Graphing calculators and/or the computer will be used as an integral part of the course.

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  • 8 hours
  • English
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Calculus through Data & Modelling: Vector Calculus

Calculus through Data & Modelling: Vector Calculus

This course continues your study of calculus by focusing on the applications of integration to vector valued functions, or vector fields. These are functions that assign vectors to points in space, allowing us to develop advanced theories to then apply to real-world problems. We define line integrals, which can be used to fund the work done by a vector field. We culminate this course with Green's Theorem, which describes the relationship between certain kinds of line integrals on closed paths and double integrals.

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  • 5 hours
  • English
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Çok değişkenli Fonksiyon II: Uygulamalar / Multivariable Calculus II: Applications

Çok değişkenli Fonksiyon II: Uygulamalar / Multivariable Calculus II: Applications

Ders çok değişkenli fonksiyonlardaki iki derslik dizinin ikincisidir. Birinci ders türev ve entegral kavramlarını geliştirmekte ve bu konulardaki problemleri temel çözme yöntemlerini sunmaktadır. Bu ders, birinci derste geliştirilen temeller üzerine daha ileri konuları işlemekte ve daha kapsamlı uygulamalar ve çözümlü örnekler sunmaktadır.

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  • Turkish
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Çok değişkenli Fonksiyon I: Kavramlar / Multivariable Calculus I:  Concepts

Çok değişkenli Fonksiyon I: Kavramlar / Multivariable Calculus I: Concepts

Ders çok değişkenli fonksiyonlardaki ikili dizinin birincisidir. Burada çok değişkenli fonksiyonlardaki temel türev ve entegral kavramlarını geliştirmek ve bu konulardaki problemleri çözmekteki temel yöntemleri sunmaktadır.

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  • Self Paced
  • Turkish
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