Algebra. Volume 1. Second Edition by P. M. Cohn

By P. M. Cohn

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Mathématiques 1re S et E

Desk des matières :

Chapitre 1. L’outil vectoriel et analytique
    I. Introduction
    II. Le plan vectoriel (rappels)
    III. Les liaisons « plan ponctuel-plan vectoriel »
    IV. L’outil analytique
    V. Compléments
    Exercices

Chapitre 2. L’outil des transformations
    I. Introduction
    II. changes usuelles
    III. motion sur les configurations élémentaires
    IV. changes associant une determine donnée à une determine donnée
    V. Composition de transformations
    VI. Compléments
    Exercices

Chapitre three. Les angles
    I. Introduction
    II. attitude d’un couple de vecteurs
    III. L’addition des angles
    IV. Propriétés géométriques
    V. Angles et cercles
    VI. Compléments
    Exercices

Chapitre four. Le produit scalaire
    I. Introduction
    II. Produit scalaire de deux vecteurs (rappel)
    III. Produit scalaire en géométrie analytique
    IV. Orthogonalité et cocyclicité
    V. Produit scalaire et lignes de niveau
    VI. Compléments
    Exercices

Chapitre five. Trigonométrie et relatives métriques dans le triangle
    I. Introduction
    II. Cosinus et sinus (rappels)
    III. Cosinus et produit scalaire ; sinus et déterminant
    IV. Trigonométrie
    V. relatives métriques dans le triangle
    VI. Compléments
    Trigonométrie (formulaire récapitulatif)
    Exercices

Chapitre 6. Rotations et isométries fixant un element donné
    I. creation (quart de tour)
    II. Rotation de centre O et d’angle α
    III. Rotation : théorèmes de composition et propriétés géométriques
    IV. Isométries fixant un element donné
    V. Compléments
    Exercices

Chapitre 7. Le calcul vectoriel dans l’espace
    I. Introduction
    II. L’espace vectoriel E
    III. Droites et plans : repères et vecteurs directeurs
    IV. Éléments de géométrie analytique dans l’espace
    V. Compléments
    Exercices

Chapitre eight. Le produit scalaire dans l’espace
    I. Introduction
    II. Produit scalaire dans E
    III. purposes géométriques du produit scalaire
    IV. Produit scalaire et géométrie analytique
    V. Compléments
    Exercices

Chapitre nine. los angeles sphère
    I. Introduction
    II. los angeles sphère : définition et premières propriétés
    III. part d’une sphère
    IV. Détermination d’une sphère
    V. Surfaces de révolution
    VI. Compléments
    Exercices

Chapitre 10. Statistiques
    I. Introduction
    II. Les caractéristiques de position
    III. Les caractéristiques de dispersion
    IV. Compléments
    Exercices

Additional resources for Algebra. Volume 1. Second Edition

Sample text

Soon after this, I began to skip class and became very indifferent toward school. 28 CHAPTER 2 Reassess Your Past I want to reiterate here what I stated earlier: Your past negative math experiences need not continue to burden you. It is both your responsibility and within your power to take control of your math destiny. In the next exercise, I encourage you to review your math history so you can understand the roots of your fears. Then I will ask you some important, thought-provoking questions to help you reevaluate your previous experiences.

I would have more confidence to take college algebra and calculus. 2. I would have improved self-esteem. 3. I would feel good about my accomplishment. 4. I would be more relaxed dealing with math in my daily life. 5. I would prove to myself that I can be successful as a premed major. 10 CHAPTER 1 5. These are some barriers or obstacles I may face and steps I will take to overcome them: Barriers Steps to Overcome Barriers a. fear or panic a. breathing exercises or self-talk to calm my nerves b. old tapes of my parents telling b.

We become tense, out of balance, panicky. Our thinking appears confused and disorganized. We feel insecure, inadequate. Our minds often go blank, and we might experience physical symptoms of muscle tightness, diarrhea, shortness of breath, or vomiting. Images of doom and disaster loom over us. However, as with the finely tuned violin, when we manifest just the right amount of tension, neither too little nor too much, we think 35 36 CHAPTER 3 clearly: Our memory is sharp, our perceptions are accurate, our judgments are good.

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