This heading proposes examples of applications with accompanying notes which can be carried out on the TI-92, TI-89 and TI-92 Plus / TI V200.

The aim is to help the users of these machines in the resolution of exercises, in order to give them methods of resolution.

Certain articles have for goal to show the difficulties met with the whole of the Computer Algebra Systems, without putting in defect such or such product. The logo appears in front of this type of articles.

 

ANALYZE
Differential Equations

Author : Jean Michel Ferrard

Translation by O-Miclo.

Public : Students Used material : 92 Plus module v1.00

 

Integral calculus

Oral examinations of different scientific or commercial schools

Author : Henri Lemberg

Translation by O-Miclo.

Public : Students Used material : TI-92

 

Table of variations

Study of a ln function using different software.

Author : Olivier Miclo
Public : Students

Used material :

Derive4 / HP49Gv1.17-8b / TI-89v2.04

 

Study of a function

Df, Variations, simple elements decomposition, int calculus.

Author : Olivier Miclo

Public : Students

Notions : Study of funcs, T-E, generalized integrals, integrals.

Used material : TI-92 Plus / TI V200v2.03

 

Derivation at the order N

Derivation of two expressions at the order N.

Author : Olivier Miclo

Public : Students

Notions : Real/Im part of a complex number, recurrence.

Used material : TI-92 Plus / TI V200v2.03

 

Equations Resolution approached by dichotomy: first example, Resolution approached by dichotomy: recursivity, method of Newton, Method of the proportional parts , approximate Calculation of p, Resolution assisted by ... the TI-92

Author : Bernard Egger

Translation by O-Miclo.

Public : Teachers

Used material :

TI-92 + Application Cabri

 

The TI-92 at the edge of chaos

Author : Jean Michel Ferrard

Translation by O-Miclo.

Public : Students - Teachers

Used material : TI-92

 

C.A.S. COMPARISONS

The square root

Differences between various C.A.S. in handling of expressions...

Author : Bernard Egger

Translation by O-Miclo.

Public : Students - Teachers

Used material :

Derive4 / Maple / TI-89v2.05

 

Antiderivative calculus HP49G vs TI-89

FRENCH VERSION ONLY

Calculating time, capacities of the software.

Author : Olivier Miclo

Public : Students - Teachers

Used material :

TI-92 Plus / TI V200 v2.05 / HP49G v b 1.19-3

 

COMPLEX

Geometrical applications with the complex numbers

transformations: complex translations, rotations, similarities, inversions. See also geometry heading for the complex inversions.

Author : Olivier Miclo
Public : Students

Used material :

TI-89v2.04 + Application Cabri

 

STATISTICS

The subject is vast and lends itself to many handling on the TI-89/92. Because of the significant number of functions which contains these machines, one can imagine many uses during the school, where they would play the part of an electronic black table.

The aim is not here to highlight this type of operation, all the more as many types of other calculators could undoubtedly play an equivalent part.

We want rather to highlight how on 2 or 3 precise points, the TI-89/92 can intervene with their specificities to enrich the mathematic school.

We will stick to the method of least squares, noting that it is used as of the economic and tertiary sections, but also in almost the whole of the sections of high-level techniciens.

We will also show an example of use in a more unusual context than the exercises suggested to the pupils.

Method of least squares

Author : Bernard Egger

Translation by O-Miclo.

Public : Teachers Used material : TI-92

 

Approximate solution of one equation using a quadratic or cubic regression

Author : Bernard Egger

Translation by O-Miclo.

Public : Teachers Used material : TI-92

 

SERIES / SUMS

 

Calculate a sum starting from a decomposition in simple elements Author : Olivier Miclo
Public : Students Used material : TI-92

 

Study of the convergence of series Author : Olivier Miclo
Public : Students Used material : TI-92/92 Plusv2.03

 

Sequences, Increase

Calculation of integral, raised sequence, inequations

Author : Olivier Miclo

Public : Students

Concepts: Integration by parts, framings, limits.

Used material :

TI-92 Plus / TI V200v2.04 / HP49Gv1.18

 

SEQUENCES

 

Approach the recurring sequences and in-depth study.

Author : Rémi Coste, Patrice Jacquinot

Public : Teachers

College

Used material : TI-92

 

Study of a numerical sequence defined in C

Author : Philippe Fortin

Translation by O-Miclo.

Public : Students Used material : TI-92

 

General study of the recurring sequences Author : Olivier Miclo
Public : Students Used material : TI-92/92 Plusv2.03

 

 

TECHNIQUES OF COMPUTATION

Techniques of integration

table of the antiderivative, integration by parts, change of variable

Author : Olivier Miclo

Public: Students

Concepts: None

Used material :

None

 

 

ELECTRICITY

Law of the nodes / meshs / Kirchoff

From circuits, use of various laws with APPlication EE200.

Author : Olivier Miclo

Public: Students

Concepts: elementary laws.

Used material :

TI-89v2.05 + Application EE200v1.0

 

PHYSICS

Pendulum (simple)

Calculation of the period and frequency of oscillations, maximum tension.

Author : Olivier Miclo

Public: Students, teachers

Concepts: forces, gravitation

Used material :

TI-89 v2.05 + Application ME*Pro v1.0