## Linear Algebra & Multivariable Calculus for Chemistry

 Faculteit Science and Engineering Jaar 2022/23 Vakcode WBCH011-05 Vaknaam Linear Algebra & Multivariable Calculus for Chemistry Niveau(s) bachelor Voertaal Engels Periode semester II b ECTS 5 Rooster rooster.rug.nl

Uitgebreide vaknaam Linear Algebra & Multivariable Calculus for Chemistry
Leerdoelen At the end of the course, the student is able to:
1. Determine vector properties (linear independence, basis, dimension).
2. Analyse and solve systems of linear equations.
3. Set-up and analyse linear transformations.
4. Perform matrix operations (multiplication, inverse).
5. Compute determinants.
6. Compute eigenvalues and eigenvectors and employ these in practical applications.
7. Solve systems of first-order linear differential equations.
8. Compute and analyse basic geometry (lines, planes and intersections).
9. Perform partial differentiation, compute extrema, gradient, tangent planes, and linear approximations.
10. Compute double integrals.
Omschrijving In this course, basic concepts and skills in the area of linear algebra are discussed.
Subsequently, functions of one variable are extended to multi-variable functions, with topics such as: partial derivatives, directional derivatives, gradients, extrema and multiple integration. The material is illustrated through examples that focus on the applications of mathematical techniques.
Uren per week 140
Onderwijsvorm Hoorcollege (LC), Werkcollege (T)
(Workload: Self study 76 hrs, Lecture 32 hrs, Tutorial 32 hrs)
Toetsvorm Opdracht (AST), Schriftelijk tentamen (WE), Tussentoets (IT)
(See remarks.)
Vaksoort bachelor
Coördinator P. Lamprou, PhD.
Docent(en) P. Lamprou, PhD.
Verplichte literatuur
Titel Auteur ISBN Prijs
Calculus Volume 3 - OpenStax
https://openstax.org/details/books/calculus-volume-3
G. Strang, E. Herman et al.
Linear Algebra and Its Applications, 5th ed. Pearson International Edition 5th David C. Lay 9781292092232
The Chemistry Maths Book 2nd E. Steiner 9780199205356
Entreevoorwaarden The course unit assumes prior knowledge acquired from Maths for Chemistry and Engineering, 1st year BSc Chemistry and Chemical Engineering
Opmerkingen The final grade for this course is determined by the Written Exam (WE) with a minimum of 5.5 required to pass the course overall.
AST and IT are optional and can add a bonus to the WE grade (calculation of bonus: average grade of AST and IT multiplied by 0.1). The final grade is WE + bonus if applicable with a maximum grade of 10.
Opgenomen in
Opleiding Jaar Periode Type
BSc Chemical Engineering 1 semester II b verplicht
BSc Chemistry  ( Core programme) 1 semester II b verplicht
BSc Courses for Exchange Students: Chemistry - Chemical Engineering - semester II b