# The Stevens Calculus System

At Stevens, we do calculus differently. Students learn not only through lectures, but through team problem-solving sessions, self-study projects, and innovative teaching methods. Small class sizes mean that professors are always available for one-on-one meetings, and half-semester courses allow us to design flexible schedules that cater to individual students' needs.

Calculus at Stevens is technology-driven. Lectures feature live polling that allows students and professors alike to instantly assess how well key concepts are understood, and we deliver all of our content online (in particular, we no longer require a textbook).

We're also excited to have introduced Gradarius into our courses. Gradarius is a one-of-a-kind online learning platform developed right here at Stevens, and developed expressly for the purpose of helping students master calculus problems in an intuitive, step-by-step manner. Gradarius has completely replaced written homework in our calculus sequence.

Since implementing the Stevens Calculus System, we’ve witnessed an increase in student satisfaction and a dramatic drop (over twenty percentage points) in the percentage of students who receive a D or F or withdraw from a course.

In light of its successes, the Stevens Calculus System has been featured at the following events and conferences:

*Joint Mathematics Meetings*, Baltimore, MD*TEDx Stevens Institute of Technology*, Hoboken, NJ*29th International Conference on Technology in Collegiate Mathematics (ICTCM)*, Chicago, IL*Chicago Symposium Series, Excellence in Teaching Mathematics and Science: Research and Practice*, Roosevelt University, Chicago, IL*Reimagining Calculus Education*, Stevens Institute of Technology, Hoboken, NJ*Collaboration for the Advancement of Learning Calculus*, University of Minnesota, Minneapolis, MN*Accreditation Board for Engineering and Technology (ABET) Symposium*, Fort Lauderdale, FL*NJEDge Faculty Showcase*, Stevens Institute of Technology, Hoboken, NJ

## Courses

The calculus sequence at Stevens consists of the following half-semester courses. Depending on their backgrounds, students may begin their studies at different points within the sequence.

###### MA 120: Introduction to Calculus

The course begins by delving into the theory of functions on the real line, where fundamental classes of functions and their applications are investigated. The notion of a limit is developed from the ground up, leading naturally to a rigorous study of the derivative, or instantaneous rate of change, of a function.

###### MA 121: Differential Calculus

The theory of differentiation is fleshed out in detail. In addition to deriving general formulas and properties of the derivative, key applications of the theory are studied, among them linear approximation and the theory of optimization.

###### MA 122: Integral Calculus

The theory of integration--the natural counterpart to the theory of differentiation--is developed. Riemann sums, the fundamental theorem of calculus, and other underpinnings of the subject are investigated in detail, as are various integration techniques and applications of integration to geometry and physics.

###### MA 123: Series, Vectors, and Multivariable Functions

Beginning with Taylor polynomials and Taylor series, the course moves on to a general analysis of infinite series, including the geometric and harmonic series and the fundamental notion of convergence. Functions of multiple variables are then introduced, as is vector calculus and the theory of parametric curves.

###### MA 124: Multivariable Calculus

The ideas explored in MA 120 through MA 123 are taken into higher dimensions. Topics include partial derivatives, tangent plane approximation, the gradient vector, and optimization in dimensions two and three. The theory of integration is extended to functions of multiple variables, and a number of its applications, e.g. to probability theory, are discussed.