Mathematics for Chemists 2 and Exercises in Mathematics for Chemists 2 (SS 2012)
Grading system
The final grade will be between 1 (best) and 5 (worst) according to this scale (over 100):
The points are calculated as follows for the lecture:
In the written final exam, the theory part will count a bit more.
Written final exam (65% of the grade).
Written midterm exam (35% of the grade) only if it helps improve the final grade.
The points are calculated as follows for the exercises:
In the written final exam, the exercises part will count a bit more.
Written final exam (50% of the grade).
Written midterm exam (25% of the grade) only if it helps improve the final grade.
Written assignments (25% of the grade) only if it helps improve the final grade. Prerequisite: to solve at least one exercises in the blackboard.
All the exams consist of theory and exercises.
Resources
Notes and assignments will be available in this page shortly after each lecture (see below).
Bibliography:
Personal support:
Course schedule
The precise schedule can be found in KUSSS.
A tentative table of contents. If you have problems opening the files, try rightclick and “save as…”
Integral calculus I  Indefinite and definite integrals, basic calculation of integrals 
slides and
exercises (due on 13.03.2012)
Integral calculus II  Integration by substitution, by parts, special types of integrals 
slides and
exercises (due on 14.03.2012)
Several variables I  Functions of several variables, partial derivatives, differentials, gradients, directional derivatives, chain rule for several variables 
slides and
exercises (due on 20.03.2012)
Several variables II  Extremum and critical points, Lagrange multipliers, optimization 
slides and
exercises (due on 27.03.2012)
Several variables III  Parametric curves, line integrals, multiple integrals, change of variables 
slides and
exercises (due on 17.04.2012)
Linear algebra I  Vector spaces, bases, linear maps 
slides and
exercises (due on 24.04.2012)

Linear algebra III  Inverse, determinants, eigenvalues 
slides and
exercises (due on 08.05.2012)
Differential equations I  Basic deﬁnitions, separable ODEs 
slides and
exercises (due on 15.05.2012)
Differential equations II  Homogeneous ODEs, First order linear ODEs 
slides and
exercises (due on 22.05.2012)
Differential equations III  Second order linear ODEs with constant coefficients, 2×2 systems of linear ODEs 
slides and
exercises (due on 23.05.2012)

Differential equations V  Population dynamics, logistic function, LotkaVolterra system 
slides (no exercises)
Fourier analysis 
slides (no exercises)
Exams: