This Pre-Calculus course is designed to prepare students for a calculus course. This course is taught so that students will acquire a solid foundation in algebra and trigonometry. The course concentrates on the various functions that are important to the study of the calculus.
Calculus One By The Ohio State University via Coursera Online Course Self-paced (25 hours)
This course is a first and friendly introduction to calculus, suitable for someone who has never seen the subject before, or for someone who has seen some calculus but wants to review the concepts and practice applying those concepts to solve problems.
Syllabus
Welcome to Calculus One
Functions and Limits
The End of Limits
The Beginning of Derivatives
Techniques of Differentiation
Chain Rule
Derivatives of Transcendental (Trigonometric) Functions
Calculus Two: Sequences and Series By The Ohio State University via Coursera Online Course Self-paced (13 hours)
Calculus Two: Sequences and Series is an introduction to sequences, infinite series, convergence tests, and Taylor series. The course emphasizes not just getting answers, but asking the question "why is this true?" Syllabus
Khan Academy is one of the leaders in free online education, with the majority of courses being taught by Salman Khan, the site’s founder. It offers a personalized learning resource for all ages delivering interactive courses via videos and practice exercises. Differential calculus deals with the study of the rates at which quantities change. It is one of the two principal areas of calculus. The fathers of modern calculus, Isaac Newton and Gottfried Leibniz, independently formulated the fundamental theorem of calculus relating differentiation and integration. Differential calculus and integral calculus are connected by the fundamental theorem of calculus, which states that differentiation is the reverse process to integration.
Khan Academy is one of the leaders in free online education, with the majority of courses being taught by Salman Khan, the site’s founder. It offers a personalized learning resource for all ages delivering interactive courses via videos and practice exercises.
The tutorials in this integral calculus program include: integrals and their inverse, differentials, derivatives, anti-derivatives, and approximating the area of curvilinear regions.
Khan Academy is one of the leaders in free online education, with the majority of courses being taught by Salman Khan, the site’s founder. It offers a personalized learning resource for all ages delivering interactive courses via videos and practice exercises.
Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions.
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