Keyword: «mathcad environment»

The paper considers the technique of symbolic and numerical differentiation in the MathCAD; shows the perspective of the use of the application package in the learning process. All actions performed under differentiation in MathCAD are illustrated with specific examples. Of course, first-year students first have to learn the technique of differentiation without the software. However, MathCAD package can be used as a mean of control and self-control in solving the tasks on differentiation. After solving a particular problem analytically, correctness of the answer can be checked by using MathCAD. Thus, MathCAD is a perfect tool to help students in their independent work.

The paper considers the method of bringing the equations of curves and surfaces of the second order to the canonical form. The stages of practical calculating the orthogonal transformation resulting in a quadratic form to canonical form are illustrated on the examples. The prospects of using the application package in the educational process (namely, MathCAD environment) are shown. The procedure of finding the eigenval-ues and eigenvectors with this tool is demonstrated on the examples. Their finding is usually time-consuming, so for the speed of counting, it is advisable to use MathCAD program. The paper will be useful to students and lecturers during seminars on the subject "Linear Algebra".

In order to increase the active use of application software packages for teaching students of technical and physical and mathematical specialties in higher education institutions, it is necessary to pay special attention to the use of software tools in solving various problems. In this regard, the paper discusses the teaching methods of integrating in MathCAD environment. Distinctive schemes and stages of finding indefinite and definite integrals are given. The problem of "non-convergent" integrals behavior in this computation environment is scrutinized here too. The author gives methodical recommendations on the software use in the educational process and shows the prospects of its application. All the actions performed during integration in MathCAD are analyzed on specific examples. Using application software package in teaching, will increase the learning process efficiency and help to develop necessary professional competencies for students. The contents of the article will be useful for teachers and students in preparing for practical classes.

In this paper, a technique is presented for applying MathCAD environment in the learning process by investigating some problems of functions behavior and graphs plotting. Specific features of the graph representation in MathCAD are given when there are points of function discontinuity. The tasks and examples being solved are methodical recommendations for doing homework. The authors consider them as one of the forms of students’ education organization and residual school mathematics knowledge revealing in first-year students. They give the methodical instructions on the applied programs package use for students teaching and show the prospects of their application, which increases the efficiency of the material perception. The simplicity of MathCAD interface made this system one of the most popular among mathematics support systems and, certainly, the most common among students. Active use of software will create the necessary professional competencies for students of technical specialties. The content of the article will be useful for teachers and students preparing for classes.