Maths Basic Course for Undergraduates [2018/12][eng]

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    Maths Basic Course for Undergraduates [2018/12][eng] Autoría: Legarreta Solaguren, Leire Malaina Celada, Iker Martínez Fernández, Luis UPV/EHU

  • Aukeratu A short-video presentation of the course: jarduera

    A short-video presentation of the course:
    

  • Aukeratu Etiqueta jarduera

• Aukeratu SYLLABUS atala

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  SYLLABUS

   

  • Aukeratu Course outline jarduera

    

    Course outline Fitxategia
• Aukeratu LECTURE MATERIALS atala

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  LECTURE MATERIALS

   

  • Aukeratu Preliminary Section jarduera

    

    Preliminary Section Fitxategia
  • Aukeratu 1st subject: Set Theory jarduera

    

    1st subject: Set Theory Fitxategia
  • Aukeratu 2nd subject: Complex numbers jarduera

    

    2nd subject: Complex numbers Fitxategia
  • Aukeratu 3rd subject: Functions jarduera

    

    3rd subject: Functions Fitxategia
  • Aukeratu 4th subject: Divisibility jarduera

    

    4th subject: Divisibility Fitxategia
  • Aukeratu 5th subject: Congruences jarduera

    

    5th subject: Congruences Fitxategia
  • Aukeratu 6th subject: Polynomials jarduera

    

    6th subject: Polynomials Fitxategia
  • Aukeratu 7th subject: Polynomial inequations jarduera

    

    7th subject: Polynomial inequations Fitxategia
  • Aukeratu 8th subject: Elementary Linear Algebra jarduera

    

    8th subject: Elementary Linear Algebra Fitxategia
• Aukeratu READINGS AND OTHER RESOURCES atala

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  READINGS AND OTHER RESOURCES

   

  • Aukeratu Congruences jarduera

    

    Congruences URLa

    A video explaining the basic concepts of congruences

  • Aukeratu Divisibility jarduera

    

    Divisibility URLa

    A video explaining the basic notions related to divisibility

  • Aukeratu Inequalities jarduera

    

    Inequalities URLa

    A video explaining the basic concepts related to inequalities

  • Aukeratu Complex numbers 1 jarduera

    

    Complex numbers 1 URLa

    Introduction to imaginary numbers

  • Aukeratu Complex numbers 2 jarduera

    

    Complex numbers 2 URLa

    Basic notions 

  • Aukeratu Complex numbers 3 jarduera

    

    Complex numbers 3 URLa

    Multiplication

  • Aukeratu Complex numbers 4 jarduera

    

    Complex numbers 4 URLa

    Division

  • Aukeratu Complex numbers 5 jarduera

    

    Complex numbers 5 URLa

    Polar form 1

  • Aukeratu Complex numbers jarduera

    

    Complex numbers URLa

    Polar form 2

  • Aukeratu Complex numbers 7 jarduera

    

    Complex numbers 7 URLa

    Powers of i

  • Aukeratu Functions 1 jarduera

    

    Functions 1 URLa

    Algebra Basics: What are Functions?-Math Antics

  • Aukeratu Functions 2 jarduera

    

    Functions 2 URLa

    Basic Linear Functions-Math Antics

  • Aukeratu Matrices I jarduera

    

    Matrices I URLa

    Matrix Multiplication...How?(mathbff)

  • Aukeratu Matrices 2 jarduera

    

    Matrices 2 URLa

    Matrices-Minors and Cofactors (Don't Memorise)

• Aukeratu ASSIGNMENTS atala

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  ASSIGNMENTS

   

  • Aukeratu Exercises: jarduera

    Exercises:
    

  • Aukeratu Preliminary Section. Exercises. Statements jarduera

    

    Preliminary Section. Exercises. Statements Fitxategia
  • Aukeratu 1st subject. Exercises. Statements. jarduera

    

    1st subject. Exercises. Statements. Fitxategia
  • Aukeratu 2nd subject. Exercises. Statements jarduera

    

    2nd subject. Exercises. Statements Fitxategia
  • Aukeratu 3rd subject. Exercises. Statements jarduera

    

    3rd subject. Exercises. Statements Fitxategia
  • Aukeratu 4th subject. Exercises. Statements jarduera

    

    4th subject. Exercises. Statements Fitxategia
  • Aukeratu 5th subject. Exercises. Statements jarduera

    

    5th subject. Exercises. Statements Fitxategia
  • Aukeratu 6th subject. Exercises. Statements jarduera

    

    6th subject. Exercises. Statements Fitxategia
  • Aukeratu 7th subject. Exercises. Statements jarduera

    

    7th subject. Exercises. Statements Fitxategia
  • Aukeratu 8th subject. Exercises. Statements jarduera

    

    8th subject. Exercises. Statements Fitxategia
  • Aukeratu Solutions: jarduera

    Solutions:
    

  • Aukeratu Preliminary Section. Exercises. Solutions jarduera

    

    Preliminary Section. Exercises. Solutions Fitxategia
  • Aukeratu 1st subject. Exercises. Solutions jarduera

    

    1st subject. Exercises. Solutions Fitxategia
  • Aukeratu 2nd subject. Exercises. Solutions jarduera

    

    2nd subject. Exercises. Solutions Fitxategia
  • Aukeratu 3rd subject. Exercises. Solutions jarduera

    

    3rd subject. Exercises. Solutions Fitxategia
  • Aukeratu 4th subject. Exercises. Solutions jarduera

    

    4th subject. Exercises. Solutions Fitxategia
  • Aukeratu 5th subject. Exercises. Solutions jarduera

    

    5th subject. Exercises. Solutions Fitxategia
  • Aukeratu 6th subject. Exercises. Solutions jarduera

    

    6th subject. Exercises. Solutions Fitxategia
  • Aukeratu 7th subject. Exercises. Solutions jarduera

    

    7th subject. Exercises. Solutions Fitxategia
  • Aukeratu 8th subject. Exercises. Solutions jarduera

    

    8th subject. Exercises. Solutions Fitxategia
• Aukeratu SELF-EVALUATION atala

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  SELF-EVALUATION

   

  • Aukeratu Test 1. Statements jarduera

    

    Test 1. Statements Fitxategia
  • Aukeratu Test 2. Statements jarduera

    

    Test 2. Statements Fitxategia
  • Aukeratu Test 1. Solutions jarduera

    

    Test 1. Solutions Fitxategia
  • Aukeratu Test 2. Solutions jarduera

    

    Test 2. Solutions Fitxategia
• Aukeratu TEACHERS atala

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  TEACHERS

   

  • Aukeratu The teachers' team is formed by: LEIRE LEGARRETA ... jarduera

    The teachers' team is formed by:

    LEIRE LEGARRETA SOLAGUREN

    email:leire.legarreta@ehu.eus. Phone number: 946015464

    Office: E.S1.20 (Department of Mathematics. Faculty of Science and Technology. University of the Basque Country)

    IKER MALAINA CELADA

    email: iker.malaina@ehu.eus. Phone number: 946015468

    Office: E.S1.20 (Department of Mathematics. Faculty of Science and Technology. University of the Basque Country)

    LUIS MARTÍNEZ FERNÁNDEZ

    email:luis.martinez@ehu.eus. Phone number: 946012651

    Office: E.P0.2 (Department of Mathematics. Faculty of Science and Technology. University of the Basque Country)

• Aukeratu REFERENCES atala

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  REFERENCES

   

  • Aukeratu BIBLIOGRAPHY: J.P. D’Angelo and D.B. West. Math... jarduera

    BIBLIOGRAPHY:

    • J.P. D’Angelo and D.B. West. Mathematical Thinking: Problem Solving and Proofs, Prentice Hall, 2000.
    • T.S. Blyth and E.F. Robertson, Sets, Relations and Mappings, Cambridge Univ. Press,1984.
    • K.H. Rosen, Matemática discreta y sus aplicaciones, McGraw-Hill, 2004.
    • M. Liebeck, A concise introduction to Pure Mathematics, Chapman & Hall, 2006.