Welcome to Calculus 3!
The aim of this course is to introduce the concepts in multi-variable calculus which are used very often in physics, engineering, chemistry, computer sciences, and other applied fields.
The course will start with an overview of points, vectors, lines, planes, and curves in three-dimensional space $R^3$. We will then move on to surfaces in space, their derivatives, maximum and minimum problems. We will see how one can compute surface areas and volumes of the underlying space of a given surface. Towards the end of the course we will study three important theorems in this course: Green’s theorem, Stokes’ Theorem, and Gauss’ Theorem. These theorems have enormous consequences and applications in real life; especially in physics and engineering.
This course is designed to be an OER [Open Educational Resources] course. All material we use in this course carries an OER license and available openly. Our main textbook is Whitman Calculus, Chapters 12-16. We will also use OpenStax Calculus 3 (Chapters 1-6) as a supplementary/optional resource. You can either browse these textbooks online or download them as PDF. Online versions have some interactive images.
| Textbook | Browse Online | PDF Download |
| Whitman Calculus | View | Download |
| OpenStax Calculus 3 | View | Download |
The topics that are covered are posted weekly on the Syllabus page, along with homework assignments and other additional information. Students should review the lecture summaries after each lecture.
Students of this course must review the Course Policies about tests, grading, evaluation, office hours, and important dates.
