Calculus is the study of things in motion. This course builds upon the foundations of calculus as we explore the third dimension. The goal of this course (and the calculus sequence as a whole) is to develop problem-solving skills and to train students to perform mathematical operations. Calculus 3 is the study of motion in the third dimension. To succeed in this course, it is necessary to have a good understanding of the fundamentals of calculus topics discussed in Calculus 1 and Calculus 2.
By the end of the course, you will become more proficient with various analytical and computational techniques. You learn topics such as vector-valued functions, multivariate differentiation, and multivariate integration strategies. We will discuss different coordinate systems and how to use them for multivariate differentiation and integration. Students will gain an adequate understanding of the main components of vector calculus.
Course Description:
Calculus is the study of things in motion. This course builds upon the foundations of calculus as we explore the third dimension. The goal of this course (and the calculus sequence as a whole) is to develop problem-solving skills and to train students to perform mathematical operations. Calculus 3 is the study of motion in the third dimension. To succeed in this course, it is necessary to have a good understanding of the fundamentals of calculus topics discussed in Calculus 1 and Calculus 2.
By the end of the course, you will become more proficient with various analytical and computational techniques. You learn topics such as vector-valued functions, multivariate differentiation, and multivariate integration strategies. We will discuss different coordinate systems and how to use them for multivariate differentiation and integration. Students will gain an adequate understanding of the main components of vector calculus.
Prerequisite: Calculus 1 or AP Calculus AB.