What is Calculus 3? 

Calculus 3 is a calculus course that is usually taken by students who have already studied the concepts of calculus 2 or AB. The course is designed to generalize the fundamental theorem of calculus. This is done through the study of vector-valued functions, derivatives, and limits. In this course, students learn to use calculus to solve simple PDEs, write short proofs, and explain key concepts. 

(Looking for hawkes learning answers? Contact us today!)

Students will also learn to solve equations of motion, and learn the formulas for the tangent and normal lines to a level curve. They will also learn the properties of differentiable functions, and find Taylor’s polynomials. Moreover, they will learn to find the domain and range of a function, and determine its convergence. 

Unlike the first two courses in the calculus sequence, this course is based on vector-valued functions. It also includes the study of polar coordinates, conic sections, and surface integrals. 

To be successful in Calculus 3, you will need to know a lot of mathematical concepts. You will learn how to simplify the limits of indeterminate forms and apply the product and quotient rules to solve derivatives. Moreover, you will need to be familiar with the basic concepts of calculus such as Differentiation, Limits, Integration, and Patterns of Change. 

Throughout this course, you will also be introduced to spherical coordinates, vectors, and multiple integration. Besides, you will learn about the different types of derivatives, such as the inverse, antiderivative, and gradient. 

Aside from the above-mentioned topics, you will be also learning about vector-valued functions, parametric equations, surface integrals, and double and triple integrals. Furthermore, you will be taught the fundamental concepts of Riemann sums, and the formulas for spherical normals and boundary points. 

Another important part of the course is the study of multivariable calculus. It is also known as “differential calculus”. This part of the course covers a variety of functions that are multivariable. These include vector functions, quadric surfaces, and conic sections. Additionally, the course includes applications of integration, Riemann sums, and trigonometric integration. 

Students in this class will also learn how to use Maple effectively. They will also learn to use techniques to evaluate multiple integrals and Riemann Sums. Also, they will learn the test for differentiability and the formula for the tangent and normal lines to level a curve. 

Unlike the first two courses in this sequence, this course is not offered year round. Instead, it is offered during the spring and fall. If you are interested in taking this course, you should check the requirements with your professor. However, you should also take into account that it is very hard. As a result, you will need to make sure that you are prepared for the upcoming tests. 

Math 55 is considered to be one of the toughest undergraduate math courses in the world. While it is easy for strong students to master its basics, it may not be for weak students. Therefore, you should be prepared to study extensively outside of class.