Harvard University · edX
Data Science: R Basics
4.4273 ratingsBuild a foundation in R and learn how to wrangle, analyze, and visualize data.
Overview
This course provides an overview of bachelor-level calculus of multivariable functions (Calculus II). You will review many basic concepts related to differentiation and integration of multivariable functions.
What you'll learn
- Visualize functions of two variables and read off qualitative information from graphs and contour plots.
- Calculate (higher order) partial derivatives for a variety of multivariable functions.
- Calculate and interpret directional derivatives and gradients of multivariable functions.
- Find and classify critical points of functions of two variables and determine extreme values for functions of compact domains.
- Evaluate double integrals over general integration domains using cartesian or polar coordinates.
- Evaluate triple integrals over general integration domains using cartesian, cylindrical or spherical coordinates.
Syllabus 21
- multivariable functions
- graphs of functions of two variables
- contour plots
- partial derivatives
- tangent planes and linearizations
- higher order partial derivatives
- chain rule
- directional derivatives and gradients
- maximizing directional derivatives
- applications of gradients
- extreme values
- critical points
- finding extreme values
- double integrals
- integrals over rectangles
- double integrals over general regions
- polar coordinates
- triple integrals
- triple integrals over general regions
- cylindrical coordinates
- spherical coordinates
Skills you'll practise
Advantages and disadvantages
Advantages
- University courses you can audit for free, with lectures, readings and practice quizzes.
- A verified certificate from the university if you pay for it.
- From Delft University of Technology, a well-regarded name.
- Self-paced: start any time.
- A clear syllabus (21 parts) you can see before you start.
Disadvantages
- Graded assignments and the certificate need the paid track.
- Audit access can expire a few weeks after the course ends.
- Learning is free, but the certificate costs money.
- Some parts (graded work, certificate) are paid.
Some points apply to every course of this kind; see how we rank.
Free to audit
- Free: Choose "Audit this course" when you enrol: lectures, readings and practice are free.
- Paid: Graded assignments and the verified certificate (Certificate $165). Audit access may end after the course closes.
Before you start
Prior knowledge of all the material covered. This course is a continuation of Calculus I and as such relies heavily on many of the concepts learned in pre-university mathematics and in Calculus I. Prerequisites include elementary functions, trigonometry, algebra, knowledge of functions and their domains and ranges, basic differentiation techniques, vectors, dot-product, cross-product, basic integration techniques. This course is a review course. As such the course requires you to have studied Calculus II in the past or are at least familiar with its course contents.
Taught by
- Niek de KleijnPhD
- Maarten van HovenDr.
- Willem Schouten-StraatmanDr.
Delft University of Technology is in Tier 2: excellent universities and the companies that build the technology of our institution ranking (86/100).
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