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Course guide

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Autores: Manuel Carretero, Luis L. Bonilla, Filippo Terragni, Sergei Iakunin, Rocío Vega

 

Units Suggested Learning Time Basic Learning Materials and Readings Complementary Study Materials and Readings Problems Problem solutions and evaluation Tests

Unit 1:
First - order ODEs

30 hours

LN-F-001. Lecture (PDF) (24 pages) and slides (PDF) (29 pages)

Chapters 2 and 8 of:
BB-B-001.

Chapters 2, 3 and  9 of:
BB-B-003

EP-F-001. (PDF).

EP-F-001s. (PDF)

PR-F-001. (PDF)

PR-F-001s.  (PDF)

Unit 2:
Second- order ODEs

30 hours

LN-F-002. Lecture (PDF) (15 pages) and slides (PDF) (18 pages)

Chapter 3 of:
BB-B-001.

Chapter 4 of:
BB-B-003.

EP-F-002. (PDF).

EP-F-002s. (PDF)

PR-F-002. (PDF)

PR-F-002s.  (PDF)

Unit 3:
Systems of ODEs

30 hours

LN-F-003. Lecture (PDF) (15 pages) and slides (PDF) (15 pages)

Chapter 7 of:
BB-B-001.

Chapter 8 of:
BB-B-003.

EP-F-003. (PDF).

EP-F-003s. (PDF)

PR-F-003.  (PDF)

PR-F-003s.  (PDF)

Unit 4:
Boundary value problems

9 hours

LN-F-004. (PDF) (8 pages)

Section 10.1 and  chapter 11 of:
BB-B-001.

EP-F-004. (PDF).

EP-F-004s. (PDF).

Unit 5:
Heat equation

20 hours

LN-F-005. (PDF) (20 pages)

Chapter 10 of:
BB-B-001.

Chapters 1 and 2 of:
BB-B-004.

EP-F-005. (PDF)

EP-F-005s. (PDF)

Unit 6:
Wave equation

15 hours

LN-F-006. (PDF) (10 pages)

Chapter 10 of:
BB-B-001.

Chapter 11 of:
BB-B-004.

EP-F-006. (PDF)

EP-F-006s. (PDF)

Unit 7:
Laplace equation

10 hours

LN-F-007. (PDF) (10 pages)

Chapter 10 of:
BB-B-001.

Chapter  2 of:
BB-B-004.

EP-F-007. (PDF)

EP-F-007s. (PDF)

Exam preparation

6 hours

PE-E-001 (PDF) PE-E-001s (PDF)

PE-E-002 (PDF) PE-E-002s (PDF)

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