Aims
and Scope
To teach students the basic concepts and essential
techniques in two broad areas of Mathematics: Calculus and Linear
Algebra.
Course
Description
Real numbers, trigonometry, complex
numbers, elements of Linear Algebra, matrices and determinants, linear systems,
coordinate systems, elements of Analytic Geometry, real functions, limits and
continuity, concepts of Differential and Integral Calculus, introduction to
Vector Calculus in 2D.
Learning Objectives
Upon successful completion of this
course students are expected to:
·
Be
able to solve systems of linear equations, handle matrices and calculate determinants.
Identify and work with basic plane curves. Be able to study the behavior of
real functions, and to compute derivatives and integrals.
·
Have
acquired a solid mathematical background on the topics and the techniques discussed
in this course, and be able to use them in order to solve applied problems.
·
Enhance
their research and analytical thinking abilities.
Bibliography
In
Greek:
1. R.L. Finney, F.R. Giordano, M.D. Weir, Απειροστικός Λογισμός,
Πανεπιστημιακές Εκδόσεις Κρήτης, Ηράκλειο, 2012.
2. Μ. Γλαμπεδάκης, Α.
Γλαμπεδάκης, Απειροστικός Λογισμός Ι & Matlab, Εκδ. Ίων, 2014.
3. Α.
Μπράτσος, Ανώτερα Μαθηματικά, Εκδόσεις Α. Σταμούλη, Αθήνα, 2002.
4. Μ.
Παπαδημητράκης, Απειροστικός Λογισμός: Πραγματικές Συναρτήσεις μιας Μεταβλητής,
Διδακτικές Σημειώσεις, Τμήμα Μαθηματικών, Πανεπιστήμιο Κρήτης.
5. G. Strang, Εισαγωγή στη Γραμμική Άλγεβρα,
Εκδόσεις Πανεπιστημίου Πατρών, 2006.
6. G.
Strang, Γραμμική Άλγεβρα και Εφαρμογές, Πανεπιστημιακές Εκδόσεις Κρήτης,
Ηράκλειο, 2005.
7. Γ. Δονάτος, Μ. Αδάμ, Γραμμική Άλγεβρα: Θεωρία
και Εφαρμογές, Gutenberg, Αθήνα 2008.
In
English:
1.
G.B. Thomas, M.D. Weir, J. Hass,
Thomas' Calculus, 12th ed., Addison-Wesley, 2010.
2.
J. Stewart, Calculus, 6th
ed., Brooks/Cole, 2008.
3.
K.A. Stroud, D.J. Booth, Engineering
Mathematics, Industrial Press Inc., 2007.
4.
E. W. Swokowski, J.A. Cole, Algebra
and Trigonometry with Analytic Geometry, 11th ed., Brooks Cole, 2004.
