One of the five required Calculus BC courses, Discrete Math, deals with the study of the conversion factors of functions on the interval of a continuous function to that of a binomial mean. The main focus is the integration of a function over a closed system. A derivative is a function that are not constant over time, but changes slowly over time. The concept of a derivative is used in all of the calculus courses and is necessary to understand and do calculus problems well. Integrals of a function over a closed system are called derivatives.

The second course in the required sequence of Calculus BC, Discrete Mathematics, focuses on topics associated with the limits of a function. The concepts of limits of a function over a discrete interval are taught in series practice problems. Limits can be graphed for visual understanding and for application in real life situations. Another important topic in discrete mathematics is the concept of integral convergence, used to find out the value of a function that is closed at its point of integration. This value is also called the integral formula or integral equation. The topics of integral convergence and series practice problems form the basis of the third and fourth parts of the series.

In the third section of Calculus BC, the topics of geometric series are introduced and discussed. The topics of geometric series convergences are also covered, giving an introduction to the series convergence. This subject deals with calculating the derivatives of a function on a closed system using the geometric series. Differentials of a function on a closed system can be evaluated using the geometric series convergences. Other integral calculus topics used in Calculus BC include the real sin, the real I, the functions of a real number, and the binomial coefficient.

In the fourth section of Calculus BC, topics dealing with roots and series convergences are introduced. Using the root test and other measures of differentiation, the roots of a real number can be found. These roots are not necessarily determinate, as in a real number calculator, but are useful for computing the derivative of a function over a range of values. Discrete Fourier transforms and other methods of discrete Fourier transformation are also taught.

The fifth section of the class covers topics dealing with series integrals. This is where topics such as geometric series convergences, integral convergence, the inner product, the exponential formula, the denominator of a complex number, and the hypergeometric functions are introduced. The topics of integration in the real plane, the integration of integral functions on the real plane, and the roots of integration are also covered in the calculus class. Higher order calculus courses such as finite integral and other calculus concepts such as algebraic, can be learned from the calculus BC coursework.

In the sixth section of the calculus BC calculus course, the topics of infinite series convergences are taught. Infinite series convergences are important topics in calculus courses because they allow for the calculation of infinite sums using a finite amount of input, as well as an infinite number of samples. A number of different methods for calculating these sums are taught in the calculus BC course. Discrete Fourier transforms, the fast Fourier transformation, and quadratic forms are among the methods taught in the course. Differentials of an operator on a finite number of variables are also covered in the calculus BC class.

The seventh and final part of the class focuses on the topics of analytic series convergence. The topics of analytic series convergence include the Laplace operator, the binomial tree, and the binomial lattice. Discrete calculus has many topics that will be covered in future classes in the future. As students finish the course, they will be able to demonstrate their understanding of the content of the calculus BC course by taking the final exam, which is based on the class assignments and the final exam requirements of each state.