This course provides a brisk, challenging, and dynamic treatment of differential and integral calculus, with an emphasis on conceptual understanding and applications to the engineering, physical, and social sciences.
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:
By signing up and paying a nominal fee (financial aid can be provided), you'll be eligible to earn a Course Certificate in this course, including a higher level of identity verification to your Coursera coursework. For each assignment, your identity is confirmed through your photo and unique typing pattern. If you earn a Course Certificate, you will also be given a personal URL through which your course records can be shared with employers and educational institutions.
Note: The following only applies to sessions starting on September 8th, 2014, and prior. This Calculus course has been evaluated and recommended by the American Council on Education’s College Credit Recommendation Service (ACE CREDIT) for college credit so you can get a head start on your college education. More than 2,000 higher education institutions consider ACE credit recommendations for transfer to degree programs. If you add this option to sessions starting on or prior to September 8th, 2014, towards the end of the course, you will take an online proctored exam which will be combined with your coursework to determine your eligibility for college credit recommendation.
Students are expected to have prior exposure to Calculus at the high-school (e.g., AP Calculus AB) level. It will be assumed that students:
This material will be reviewed; however, it is important to begin the course with some background. A diagnostic exam will be made available to help you gauge your preparedness.
The course will serve equally well as a first university-level course in Calculus or as a review from a novel perspective.
If you've never seen Calculus before, this is likely not the course for you. Please see, e.g., the more introductory course from Ohio State University: https://www.coursera.org/course/calc1
If you are looking for the background needed to begin a study of Calculus, please see, e.g., the pre-Calculus course by UC Irvine: https://www.coursera.org/course/precalculus
Yes. Students who successfully complete the class will receive a Statement of Accomplishment signed by the instructor. If you pay a fee, you can also earn a Course Certificate.
The class will consist of lecture videos, usually about fifteen minutes each. There will be homework problems that are not part of video lectures. There will be approximately seventy-five minutes worth of video content per week. The lectures are fairly dense: you will want to budget enough time to allow for repeated viewings, especially when working through the homework assignments.
We are building a detailed course wiki which mirrors the lectures closely; also, the videos will have subtitles. In other words, you do not need to take detailed notes of the lecture -- it's already been done for you.
Yes. Let me repeat: YES. This course is a faithful representation of the depth and difficulty of Penn's MATH 104, a course that many of our best students find to be a challenge. Calculus, like the rest of Mathematics, takes time and effort to master. If you are prepared to work hard at the assignments, I'll work hard to explain the principles as clearly as possible.
Does this course cover all of Calculus?
No. It will be assumed that you've seen some of the subject, at a high-school equivalent level (e.g., at the level of the Calculus AB exam). In addition, we will cover only single-variable calculus, not multi-variable.
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