Course title: Mathematics I
About the course
The course is organized in 28 hundred-minute lectures and 28 hundred-minute seminars.
The curriculum and teaching is supervised by: Prof. RNDr. Josef Šlapal, CSc.
Curriculum summary
Students will learn about the basics of the set theory and mathematical logic, linear algebra, vector calculus, analytic geometry, differential and integral calculus of functions in one variable.
Syllabus: Math1
Examinations, assessment of results: Examinations
Literature:
Thomas G.B. - Finney R.L.: Calculus and Analytic Geometry, 1997
Sneall D.B. - Hosack J.M.: Calculus, An Integrated Approach, 1997
Anton, H.A.: Elementary Linear Algebra, Wiley, 2002,
Salas, S.L., Hille, E., Etgen, G.J.: Calculus: One and Several Variables, Wiley, 2002
Lectures for downloading:
Logics.ppt, Sets.ppt, Relations.ppt, Numbers.ppt, Functions.ppt, Trigo.ppt, ExpLog.ppt, Polynomials.ppt, GaussElim.ppt, Determinants.ppt, InverseMatrix.ppt, VectorSpaces.ppt, AnalyticGeom.ppt, Limits.ppt, Derivative.ppt, ParametricFunctions.ppt, LHospital.ppt, MaximaMinima.ppt, SketchingGraphs.ppt, Integration.ppt, Rieman.ppt, PartialFractions.ppt, InegrationRevisited.ppt, Integrability.ppt, IntegralApplications.ppt, ImproperIntegral.ppt
Dictionaries for downloading:Dictionary_Czech-English.doc, Dictionary_English-Czech.doc
Audio dictionaries of mathematical formulas for downloading
Algebra.doc, BasicNumbers.doc, Calculus.doc, Functions.doc, Geometry.doc, SimpleArithmetic.doc, Trigonometry.doc