The focus and themes of the Introduction to Calculus course address the most important foundations for applications of mathematics in science, engineering and commerce. The course emphasises the key ideas and historical motivation for calculus, while at the same time striking a balance between theory and application, leading to a mastery of key threshold concepts in foundational mathematics.
oferecido por
Introduction to Calculus
Universidade de SydneyInformações sobre o curso
Resultados de carreira do aprendiz
12%
consegui um benefício significativo de carreira com este curso
11%
recebi um aumento ou promoção
Certificados compartilháveis
Tenha o certificado após a conclusão
100% on-line
Comece imediatamente e aprenda em seu próprio cronograma.
Prazos flexíveis
Redefinir os prazos de acordo com sua programação.
Nível intermediário
Aprox. 59 horas para completar
Inglês
Legendas: Árabe, Francês, Portuguese (European), Italiano, Vietnamita, Alemão, Russo, Inglês, Espanhol
Habilidades que você terá
logicMathematicsCalculus
Resultados de carreira do aprendiz
12%
consegui um benefício significativo de carreira com este curso
11%
recebi um aumento ou promoção
Certificados compartilháveis
Tenha o certificado após a conclusão
100% on-line
Comece imediatamente e aprenda em seu próprio cronograma.
Prazos flexíveis
Redefinir os prazos de acordo com sua programação.
Nível intermediário
Aprox. 59 horas para completar
Inglês
Legendas: Árabe, Francês, Portuguese (European), Italiano, Vietnamita, Alemão, Russo, Inglês, Espanhol
oferecido por
Universidade de Sydney
Our excellence in research and teaching makes the University of Sydney one of the top universities in Australia and highly ranked among the best universities in the world. In 2020, we were ranked second in the Times Higher Education (THE) University Impact Rankings, and first in Australia in the QS Graduate Employability Rankings.
Programa - O que você aprenderá com este curso
9 horas para concluir
Precalculus (Setting the scene)
This module begins by looking at the different kinds of numbers that fall on the real number line, decimal expansions and approximations, then continues with an exploration of manipulation of equations and inequalities, of sign diagrams and the use of the Cartesian plane.
9 horas para concluir
10 vídeos (Total 109 mín.), 8 leituras, 9 testes
13 horas para concluir
Functions (Useful and important repertoire)
This module introduces the notion of a function which captures precisely ways in which different quantities or measurements are linked together. The module covers quadratic, cubic and general power and polynomial functions; exponential and logarithmic functions; and trigonometric functions related to the mathematics of periodic behaviour. We create new functions using composition and inversion and look at how to move backwards and forwards between quantities algebraically, as well as visually, with transformations in the xy-plane.
13 horas para concluir
13 vídeos (Total 142 mín.), 12 leituras, 13 testes
12 horas para concluir
Introducing the differential calculus
This module introduces techniques of differential calculus. We look at average rates of change which become instantaneous, as time intervals become vanishingly small, leading to the notion of a derivative. We then explore techniques involving differentials that exploit tangent lines. The module introduces Leibniz notation and shows how to use it to get information easily about the derivative of a function and how to apply it.
12 horas para concluir
12 vídeos (Total 132 mín.), 10 leituras, 11 testes
14 horas para concluir
Properties and applications of the derivative
This module continues the development of differential calculus by introducing the first and second derivatives of a function. We use sign diagrams of the first and second derivatives and from this, develop a systematic protocol for curve sketching. The module also introduces rules for finding derivatives of complicated functions built from simpler functions, using the Chain Rule, the Product Rule, and the Quotient Rule, and how to exploit information about the derivative to solve difficult optimisation problems.
14 horas para concluir
14 vídeos (Total 155 mín.), 13 leituras, 14 testes
Avaliações
Principais avaliações do INTRODUCTION TO CALCULUS
por OM26 de Set de 2020
I have completed quite a few courses on Coursera. This is by far the best instructor. I really hope David is going to do teach another Coursera course soon - I will sign up regardless of the content!
por SV29 de Ago de 2020
Exceptional course. Fantastic explaining by Professor Easdown, I wish more teachers were as clear as he is, and as kind and thoughtful towards their students. Many, many thanks in case you see this.
por DG12 de Dez de 2020
Best instructor. Made calculus very approachable connecting topics, illustrating applications, and his enthusiasm (which is contagious). Wish he'd do follow-up courses for more advanced mathematics.
por RG29 de Nov de 2020
This is an amazing course. I loved the way the instructor used classic examples to explain calculus by helping us approach problems from the perspectives of Newton, Leibniz, and the ancient greeks!
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