Calculus A

Calculus is the study of change. The fundamental tools of calculus are the derivative and the definite integral. Derivatives are used to solve problems involving rates of change, e.g., problems dealing with velocity, acceleration, or marginal cost. Definite integrals are used to solve problems involving entities that can be subdivided into infinitesimally small but tractable parts. In this course students are expected to develop a working knowledge of differential calculus, an understanding of the basic principles of integral calculus, and an appreciation of the significance of the surprising relationship that exists between these two segments of calculus.

The great importance of calculus is quickly noticed by taking a look at the number of fields that use calculus to solve important problems. Calculus is used to solve from biology problems to economy problems.

Problems monitoring the dynamical changes of biological samples, all kinds of optimization problems, and economical problems involving the interest rate need calculus to be solved.

Besides the significant aspect that this part of mathematics helps in development of an analytical mathematical thinking, calculus proves its effectiveness by solving real, practical problems.

This course will develop and/or improve the following:

• Asking appropriate questions

• Breaking down problems

• Persevering

• Time Management Skills

• Organizational Skills