Learn differential calculus through simulation. Master differentiation techniques for single-factor and multivariable functions to apply to optimization problems.
Suggested by: Coursera (What is Coursera?)
No prior knowledge required
No unnecessary risks
This specialization offers an introduction to topics in one-dimensional and multidimensional infinitesimal calculus, and focuses on using infinitesimal calculus to address questions in the natural and social sciences.
Students will learn how to use computational tools to process, analyze, and interpret data, as well as communicate meaningful results, using scientific computation and mathematical modeling.
In each module, learners will be given solved example problems that they can use to build their skills and confidence, followed by multiple-choice questions to demonstrate what they have learned.
Through a cumulative project, students applied their skills to model the cost of a construction project in a real topographical area, with the goal of finding the optimal cost to complete the project given certain constraints.
Duration: 7 hours
Rating: 4.8 (100 ratings)
What you will learn: This course offers an applied approach to the study of mathematical topics required for further study in univariate and multivariate calculus. The central theme is the study of functions, including polynomial, rational, exponential, logarithmic, and trigonometric functions. The emphasis is on using these functions to model and analyze data.
Duration: 9 hours
Rating: 4.7 (187 ratings)
What you will learn: This course will introduce the principles of single-variable calculus through the concept of limits, which will be used to define the differential of a function. The differential measures the sensitivity of the function to changes in, for example, the velocity of a body with respect to time.
Duration: 7 hours
Rating: 4.8 (51 ratings)
What you will learn: This course continues the study of differential calculus by developing new rules for finding differentials without using the definition of limits directly. We will apply the rules to solve problems related to the rate of change and optimization of functions.
Duration: 7 hours
Rating: 4.7 (48 ratings)
What you will learn: We will apply the differential to find linear approximations to univariate and multivariate functions, locate maximum and minimum values of a function, and optimization techniques are important for a variety of real-world applications.
