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public:teaching:mathchem2-s12

Mathematics for Chemists 2 and Exercises in Mathematics for Chemists 2 (SS 2012)

  • Lecturer: David Sevilla (david.sevilla@oeaw.ac.at)
  • Frequency: 1.5 hours/week lecture + 1.5 hour/week exercises
  • Language: English

Grading system

The final grade will be between 1 (best) and 5 (worst) according to this scale (over 100):

  • at least 90 points: grade 1
  • 76 - 89 points: grade 2
  • 63 - 75 points: grade 3
  • 50 - 62 points: grade 4
  • less than 50 points: grade 5 (failed)

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:

  • Weekly tutorials with Mathias Dankl (mathias.dankl@gmx.net), schedule to be determined.
  • There are no predefined office hours. Feel free to make appointments. Questions by email are welcome.

Course schedule

The precise schedule can be found in KUSSS.

A tentative table of contents. If you have problems opening the files, try right-click and “save as…”

  1. Integral calculus I - Indefinite and definite integrals, basic calculation of integrals - slides and exercises (due on 13.03.2012)
  2. Integral calculus II - Integration by substitution, by parts, special types of integrals - slides and exercises (due on 14.03.2012)
  3. 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)
  4. Several variables II - Extremum and critical points, Lagrange multipliers, optimization - slides and exercises (due on 27.03.2012)
  5. Several variables III - Parametric curves, line integrals, multiple integrals, change of variables - slides and exercises (due on 17.04.2012)
  6. Linear algebra I - Vector spaces, bases, linear maps - slides and exercises (due on 24.04.2012)
  7. Linear algebra II - Matrices - slides and exercises (due on 25.04.2012)
  8. Linear algebra III - Inverse, determinants, eigenvalues - slides and exercises (due on 08.05.2012)
  9. Differential equations I - Basic definitions, separable ODEs - slides and exercises (due on 15.05.2012)
  10. Differential equations II - Homogeneous ODEs, First order linear ODEs - slides and exercises (due on 22.05.2012)
  11. Differential equations III - Second order linear ODEs with constant coefficients, 2×2 systems of linear ODEs - slides and exercises (due on 23.05.2012)
  12. Differential equations IV - Harmonic oscillators - slides and exercises (due on 30.05.2012) - Resonance: Breaking glass sound? , The fall of the Tacoma bridge (not exactly resonance)
  13. Differential equations V - Population dynamics, logistic function, Lotka-Volterra system - slides (no exercises)
  14. Fourier analysis - slides (no exercises)

Exams:

/var/www/wiki/htdocs/data/pages/public/teaching/mathchem2-s12.txt · Last modified: 2012/07/25 09:47 by sevillad