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MOOC Massive Open Online Courses (Academic Year 2018/2019)

Mathematics I



Exercices

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Matériel relatif à l’entier enseignement.

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all_course_trigonom. and hyperb. relations.pdf 
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model exam  (A.Y. 2006-2007)
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mdel_test(1)  (A.Y. 2006-2007)

Leçon n.1: Introduction

Leçon n.2: Real Numbers

Leçon n.3: Real Functions

The Function as a Concept
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excercise of lesson 3  (A.Y. 2007-2008)
Matériel Didactiques relies à cette Leçon
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exercises for lesson 3 
Leçon n.4: Classifications of functions

Leçon n.5: Basic functions

Leçon n.6: Composite functions

Leçon n.7: Inverse functions

Leçon n.8: Limits

Limit of a sequence
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must be solved and delivered  (A.Y. 2007-2008)
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must be solved and delivered  (A.Y. 2007-2008)
Matériel Didactiques relies à cette Leçon
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exercises for lesson 8.DOC 
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must be solved and delivered  (A.Y. 2007-2008)
Leçon n.9: Limit theorem

Leçon n.10: Continuity

Leçon n.11: Differentiation

Leçon n.12: Derivative of the inverse, composite and implicit functions

Leçon n.13: Applications to the derivative

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exercises for lesson 13 
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lesson 13 exercise  (A.Y. 2007-2008)
Leçon n.14: Indeterminate forms and l'hospital rule

Leçon n.15: Maximum and minimum values of a function

Leçon n.16: Curve sketching

Leçon n.17: Antiderivative or the indefinite integral

Leçon n.18: Integration by substitution

Leçon n.19: Integration by parts

Leçon n.20: Trigonometric and hyperbolic integrals

Leçon n.21: Trigonometric and hyperbolic substitutions

Leçon n.22: Integration by partial fractions

Leçon n.23: The definite integral

Leçon n.24: Properties of the definite integral

Leçon n.25: Fundamental theorem for calculus -