Calculus with Maple

Lecturer:

Aleš Němeček (gar.)

Tutor:

Aleš Němeček (gar.)

Supervisor:

Department of Mathematics

Synopsis:

Computer algebra system Maple is used to demonstrate basic mathematical concepts that students encounter in subjects Mathematics 1 (AE0B01MA1, AE3B01MA1, AE7B01MAA, YE01MA1) and Introductory Algebra (AE0B01LAA, AE0B01LAG,AE7B01LAG, YE01ALG). 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:

Time-table for winter semester 2011/2012:

	06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon
Tue	roomT2:C4-459 Němeček A. 12:45–14:15 (parallel nr.101) Dejvice Laborator počítačeroomT2:C4-459 14:30–16:00 (parallel nr.102) Dejvice Laborator počítače
Fri	roomT2:C4-459 Němeček A. 11:00–12:30 (parallel nr.103) Dejvice Laborator počítačeroomT2:C4-459 Němeček A. 12:45–14:15 (parallel nr.104) Dejvice Laborator počítače
Thu
Fri

Time-table for summer semester 2011/2012:

Time-table is not available yet

The course is a part of the following study plans: