[ 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; Taylor-Polynomes; Integrable Functions; Primitive; Definite Integral; Integration Techniques; Scalar Functions of Several Variables; Partial Derivatives; Vector-valued 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