Calculus with Maple

Corequisite:

Introduction to Algebra (X01ALG)
Mathematics 1 (X01MA1)

Lecturer:

Tutor:

Supervisor:

Department of Mathematics

Synopsis:

Computer algebra system Maple is used to demonstrate basic mathematical concepts that students encounter in subjects Mathematics 1 (XE01MA1) and Introductory Algebra (XE01ALG). Seminars provide both computational and graphical examples with particular emphasis on problems whose solution without Maple is either difficult or impossible.

Requirements:

The requirement for receiving the credit is an active participation in the tutorials.

Syllabus of lectures:

Syllabus of tutorials:

1. Principles of program Maple.

2. Introduction to Maple.

3. Polynomials, roots of polynomials.

4. Problem-oriented solving.

5. Real functions and their limits, continuity, derivatives.

6. Problem-oriented solving.

7. Matrices, operations with matrices, determinants, inverse matrices.

8. Problem-oriented solving.

9. Local extrema and graphing. Applications of differentiation.

10. Problem-oriented solving.

11. Systems of linear equations. Free vectors, dot product, cross product. Linear figures in in three-dimensional Euclidean space.

12. Problem-oriented solving.

13. Indefinite and definite integral, applications of integration.

14. Problem-oriented solving.

Study Objective:

Study materials:

1. Maple 9 Getting Started Guide, Waterloo Maple Inc., 2003

2. Char, B.W.: Maple 9 Learning Guide, Waterloo Maple Inc., 2003

3. Monagan, M.B., Geddes, K.O., a další: Maple 9 Inroductory Programming Guide, Waterloo Maple Inc., 2003

4. Monagan, M.B., Geddes, K.O., a další: Maple 9 Advanced Programming Guide, Waterloo Maple Inc., 2003

5. Heck, A.: Introduction to Maple, 2nd ed., Springer-Verlag, Berlin, 1996

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans:

• Common plan- structured studies (elective specialized course)
• Computer Technology- structured studies (elective specialized course)
• Electronics and Communication Technology - structured studies (elective specialized course)
• Cybernetics and Measurements- structured studies (elective specialized course)
• Heavy-current Engineering- structured studies (elective specialized course)