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

Topic outline

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  General

  • Esta obra se publica bajo una licencia Creative Commons License.

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

  • A short-video presentation of the course:
    

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  SYLLABUS

   

  • Course outline File
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  LECTURE MATERIALS

   

  • Preliminary Section File
  • 1st subject: Set Theory File
  • 2nd subject: Complex numbers File
  • 3rd subject: Functions File
  • 4th subject: Divisibility File
  • 5th subject: Congruences File
  • 6th subject: Polynomials File
  • 7th subject: Polynomial inequations File
  • 8th subject: Elementary Linear Algebra File
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  READINGS AND OTHER RESOURCES

   

  • Congruences URL

    A video explaining the basic concepts of congruences

  • Divisibility URL

    A video explaining the basic notions related to divisibility

  • Inequalities URL

    A video explaining the basic concepts related to inequalities

  • Complex numbers 1 URL

    Introduction to imaginary numbers

  • Complex numbers 2 URL

    Basic notions 

  • Complex numbers 3 URL

    Multiplication

  • Complex numbers 4 URL

    Division

  • Complex numbers 5 URL

    Polar form 1

  • Complex numbers URL

    Polar form 2

  • Complex numbers 7 URL

    Powers of i

  • Functions 1 URL

    Algebra Basics: What are Functions?-Math Antics

  • Functions 2 URL

    Basic Linear Functions-Math Antics

  • Matrices I URL

    Matrix Multiplication...How?(mathbff)

  • Matrices 2 URL

    Matrices-Minors and Cofactors (Don't Memorise)

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  ASSIGNMENTS

   

  • Exercises:
    

  • Preliminary Section. Exercises. Statements File
  • 1st subject. Exercises. Statements. File
  • 2nd subject. Exercises. Statements File
  • 3rd subject. Exercises. Statements File
  • 4th subject. Exercises. Statements File
  • 5th subject. Exercises. Statements File
  • 6th subject. Exercises. Statements File
  • 7th subject. Exercises. Statements File
  • 8th subject. Exercises. Statements File
  • Solutions:
    

  • Preliminary Section. Exercises. Solutions File
  • 1st subject. Exercises. Solutions File
  • 2nd subject. Exercises. Solutions File
  • 3rd subject. Exercises. Solutions File
  • 4th subject. Exercises. Solutions File
  • 5th subject. Exercises. Solutions File
  • 6th subject. Exercises. Solutions File
  • 7th subject. Exercises. Solutions File
  • 8th subject. Exercises. Solutions File
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  SELF-EVALUATION

   

  • Test 1. Statements File
  • Test 2. Statements File
  • Test 1. Solutions File
  • Test 2. Solutions File
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  TEACHERS

   

  • 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)

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  REFERENCES

   

  • 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.