Nummer10202S1Zielsetzung / PurposeKnow-how to be imparted (partially during the pre-course):
- Definition of functions (domain and range of functions)
Derivation of necessary formulae (modelling data) for functions based on given data
Algebraic formulation and solution of exponential and logarithmic forms
Conversion of exponential expressions into logarithmic forms and vice versa
Solving systems of simultaneous linear equations using appropriate methods
Formulation of systems of simultaneous linear equations
Matrix operations (optional)
Algebraic handling of arithmetic and geometric series and sequences
Solving finance mathematics problems based on interest formulae
Derivation and application of formulae of annuity, amortization and sinking fund
Mathematical formulation of given data/text
- Application to real life business cases and problems
Know-how in algebra (partially during the pre-course):
- Calculations based on exponents and logarithms
Solving exponential expressions by converting them into log forms
Solving of systems of simultaneous linear equations
Simplification of algebraic expressions
Reformulation of formulae as necessary
Use of quadratic formula to solve quadratic functions
Manipulation of negative and fractional exponents
Algebraic handling of geometric series
Inhalt / ContentFunctions
Definition
Domain and range
Important types of functions
Linear, power, polynomial, exponential and logarithmic functions
Identification of dependent types, derivation of corresponding formulae
Matrix Algebra (optional)
Definition and types of matrices
Application of matrices to solve simultaneous systems of linear equations
Arithmetic and geometric series and sequences
Derivation and application of important formulae
Finance mathematics 1
Derivation and application of interest formulae
Annuities - Present and future values
Amortization
Application of the above to solving business related cases and problems
Besondere Eintrittsvoraussetzungen / Special Conditions of AdmissionProfessional maturityBibliographie/Literatur / Bibliography / Literature / ReferencesTextbook:
Harshbarger / Reynolds (2012)
Mathematical Applications for the Management, Life, and Social Sciences
10th edition, Cengage Learning
ISBN-13: 978-1133106234
Solutions manual with detailed solutions of even-numbered questions in book (recommended):
Harshbarger / Reynolds (2012)
Student Solutions Manual for Harshbarger/Reynolds' Mathematical Applications for the Management, Life, and Social Sciences, 10th edition, Cengage Learning
ISBN-13: 978-1133108528
Lehr- und Lernmethoden / MethodsLectures, guided and individual self-studyLeistungsbewertung/Testanforderung(en) / AssessmentWritten examination: 60 Min.
Weight: According to the number of credits in the module
Date: To be announced during the
semester
- A minimum grade of 3.1 must be reached in this course in order to pass the module.
Anschlussmodule/-kurse / Next Module / CourseStatisticsBemerkungenCourse attendance is recommended