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MOOC Massive Open Online Courses (Academic Year 2019/2020)

Mathematics I



Exercises

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n. 26.1 -
all_course_trigonom. and hyperb. relations.pdf 
n. 26.2 -
model exam  (A.Y. 2006-2007)
n. 26.3 -
mdel_test(1)  (A.Y. 2006-2007)
Lesson n.1: Introduction

Lesson n.2: Real Numbers

Lesson n.3: Real Functions

The Function as a Concept
n. 3.2 -
excercise of lesson 3  (A.Y. 2007-2008)
Didactic Materials related to this Lesson
n. 3.1 -
exercises for lesson 3 
Lesson n.4: Classifications of functions

n. 4.1 -
exercises for lesson 4 
n. 4.2 -
exercise 4 must deliver  (A.Y. 2007-2008)
Lesson n.5: Basic functions

n. 5.1 -
exercises for lesson 5 
Lesson n.6: Composite functions

n. 6.1 -
exercises for lesson 6.DOC 
n. 6.2 -
lesson 6 exercise  (A.Y. 2007-2008)
Lesson n.7: Inverse functions

Lesson n.8: Limits

Limit of a sequence
n. 8.3 -
must be solved and delivered  (A.Y. 2007-2008)
n. 8.4 -
must be solved and delivered  (A.Y. 2007-2008)
Didactic Materials related to this Lesson
n. 8.1 -
exercises for lesson 8.DOC 
n. 8.2 -
must be solved and delivered  (A.Y. 2007-2008)
Lesson n.9: Limit theorem

n. 9.1 -
exercises for lesson 9.DOC 
n. 9.2 -
must be solved and delivered  (A.Y. 2007-2008)
Lesson n.10: Continuity

Lesson n.11: Differentiation

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

Lesson n.13: Applications to the derivative

n. 13.1 -
exercises for lesson 13 
n. 13.2 -
lesson 13 exercise  (A.Y. 2007-2008)
Lesson n.14: Indeterminate forms and l'hospital rule

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

Lesson n.16: Curve sketching

Lesson n.17: Antiderivative or the indefinite integral

n. 17.1 -
exercises for lesson 17.DOC 
n. 17.2 -
lesson 17 exercise  (A.Y. 2007-2008)
Lesson n.18: Integration by substitution

n. 18.1 -
exercises for lesson 18.DOC 
n. 18.2 -
lesson 18 exercise  (A.Y. 2007-2008)
Lesson n.19: Integration by parts

n. 19.1 -
exercises for lesson 19.DOC 
Lesson n.20: Trigonometric and hyperbolic integrals

n. 20.1 -
exercises for lesson 20.DOC 
Lesson n.21: Trigonometric and hyperbolic substitutions

n. 21.1 -
exercises for lesson 21.DOC 
Lesson n.22: Integration by partial fractions

n. 22.1 -
exercises for lesson 22.DOC 
Lesson n.23: The definite integral

n. 23.1 -
exercises for lesson 23.DOC 
Lesson n.24: Properties of the definite integral

n. 24.1 -
exercises for lesson 24.DOC 
Lesson n.25: Fundamental theorem for calculus -