Calculus is one of the grandest achievements of human thought, explaining everything from planetary orbits to the optimal size of a city to the periodicity of a heartbeat. This brisk course covers the core ideas of single-variable Calculus with emphases on conceptual understanding and applications. The course is ideal for students beginning in the engineering, physical, and social sciences. Distinguishing features of the course include: 1) the introduction and use of Taylor series and approximations from the beginning; 2) a novel synthesis of discrete and continuous forms of Calculus; 3) an emphasis on the conceptual over the computational; and 4) a clear, dynamic, unified approach.
(2,210 avis)
Compétences que vous acquerrez
- Catégorie : Series Expansions
- Catégorie : Calculus
- Catégorie : Series Expansion
Détails à connaître
Ajouter à votre profil LinkedIn
21 devoirs
Découvrez comment les employés des entreprises prestigieuses maîtrisent des compétences recherchées
Obtenez un certificat professionnel
Ajoutez cette qualification à votre profil LinkedIn ou à votre CV
Partagez-le sur les réseaux sociaux et dans votre évaluation de performance
Il y a 4 modules dans ce cours
Welcome to Calculus: Single Variable! below you will find the course's diagnostic exam. if you like, please take the exam. you don't need to score a minimal amount on the diagnostic in order to take the course. but if you do get a low score, you might want to readjust your expectations: this is a very hard class...
Inclus
1 vidéo2 lectures2 devoirs
This module will review the basics of your (pre-)calculus background and set the stage for the rest of the course by considering the question: just what <i>is</i> the exponential function?
Inclus
3 vidéos1 lecture4 devoirs
This module gets at the heart of the entire course: the Taylor series, which provides an approximation to a function as a series, or "long polynomial". You will learn what a Taylor series is and how to compute it. Don't worry! The notation may be unfamiliar, but it's all just working with polynomials....
Inclus
5 vidéos8 devoirs
A Taylor series may or may not converge, depending on its limiting (or "asymptotic") properties. Indeed, Taylor series are a perfect tool for understanding limits, both large and small, making sense of such methods as that of l'Hopital. To solidify these newfound skills, we introduce the language of "big-O" as a means of bounding the size of asymptotic terms. This language will be put to use in future Chapters on Calculus.
Inclus
4 vidéos1 lecture7 devoirs
Instructeur
Offert par
Recommandé si vous êtes intéressé(e) par Math and Logic
University of Pennsylvania
University of Pennsylvania
University of Pennsylvania
University of Pennsylvania
Pour quelles raisons les étudiants sur Coursera nous choisissent-ils pour leur carrière ?
Avis des étudiants
Affichage de 3 sur 2210
2 210 avis
- 5 stars
80,09 %
- 4 stars
15,21 %
- 3 stars
2,48 %
- 2 stars
0,63 %
- 1 star
1,58 %
Ouvrez de nouvelles portes avec Coursera Plus
Accès illimité à plus de 7 000 cours de renommée internationale, à des projets pratiques et à des programmes de certificats reconnus sur le marché du travail, tous inclus dans votre abonnement
Faites progresser votre carrière avec un diplôme en ligne
Obtenez un diplôme auprès d’universités de renommée mondiale - 100 % en ligne
Rejoignez plus de 3 400 entreprises mondiales qui ont choisi Coursera pour les affaires
Améliorez les compétences de vos employés pour exceller dans l’économie numérique
Foire Aux Questions
Access to lectures and assignments depends on your type of enrollment. If you take a course in audit mode, you will be able to see most course materials for free. To access graded assignments and to earn a Certificate, you will need to purchase the Certificate experience, during or after your audit. If you don't see the audit option:
The course may not offer an audit option. You can try a Free Trial instead, or apply for Financial Aid.
The course may offer 'Full Course, No Certificate' instead. This option lets you see all course materials, submit required assessments, and get a final grade. This also means that you will not be able to purchase a Certificate experience.