[ 290MANA16 ] Subject Mathematics and Fundamentals of Science





Workload 
Mode of examination 
Education level 
Study areas 
Responsible person 
Coordinating university 
19,6 ECTS 
Accumulative subject examination 
B1  Bachelor's programme 1. year 
Mathematics 
Wolfgang Buchberger 
Johannes Kepler University Linz 



Detailed information 
Original study plan 
Bachelor's programme Technical Chemistry 2016W 
Objectives 
Knowledge in the field of mathematics and its application for problems in science. Understanding of the fundamentals of physics in the context of chemical topics. Understanding of the fundamentals of biochemistry.

Subject 
Mathematics: Sets; Numbers; Physical Quantities; Functions; Polynomials; Exponential Function; Trigonometric Functions; Rational Functions; Inverse Functions; Bisection Method; Limits; Dervatives; Monotonicity; Extremal Points; Convexity; Inflection Points; Linear Approximation; TaylorPolynomes; Integrable Functions; Primitive; Definite Integral; Integration Techniques; Scalar Functions of Several Variables; Partial Derivatives; Vectorvalued Functions; Line Integrals; Multidimensional Integrals; Differential Equations; Analytical and Numerical Methods, Systems of Linear Equations; Vectors;
Physics: Physical quantities; units; calculations of errors; kinematics; forces; equation of motion; energy; momentum; angular momentum; laws of conservation; rotation of rigid bodies; harmonic oscillations; electric charge; electric fields and potential; conductors and isolators; capacities; current; magnetic field; induction; magnetism.
Biochemistry: Introduction into the ultrastructure of cells; chemistry of enzyme catalysis, of metabolism, and of bioenergetics; replication, expression, and protein synthesis.




Subordinated subjects, modules and lectures 
       