Mathematics: Mathematics for Scientists 1

Utbildningsfakta

Kod: MATA03

<p>The course is an elective course in the first cycle for a degree of Bachelor's of Science in chemistry, chemistry / molecular biology or biology. The course provides basic mathematical knowledge for further studies in science, mainly in the subject areas of biology and chemistry, as well as economics.</p><p>The course treats:<br /> • logic and set theory; the number system; equalities and inequalities; absolute value; powers and logarithms; second degree curves and equations, polynomials; complex numbers; trigonometry;<br /> • number sequences; arithmetic and geometric sums; mathematical induction; the binomial theorem;<br /> • functions, monotone functions, inverse functions; the properties of the elementary functions: graphs, formulas;<br /> • limits, continuous functions, asymptotes;<br /> • derivatives: definition and properties, applications; derivatives of elementary functions; properties of differentiable functions; local extremas, optimization, curve schetching; basic mathematical models;<br /> • primitive functions; basic integration methods: partial integration and substitution of variables; partial fraction decomposition;<br /> • definition of the Riemann integral; Riemann sums; applications; generalized integrals;<br /> • Taylor and Maclaurin expansions: expansions of elementary functions, applications;<br /> • first-order differential equations: linear, separable; second order linear differential equations with constant coefficients, solving homogeneous equations and certain inhomogeneous equations; applications;<br /> • introduction to functions of several variables, partial derivatives;<br /> • linear systems of equations, matrices and determinants;<br /> • vectors and scalar product in three-dimensional space.</p>

Behörighet

General requirements and studies equivalent to Swedish Upper Secondary School course Mathematics 4 (or older course Mathematics E)/Mathematics further level 2

Utbildningstillfällen

Varje tillfälle har egna datum och villkor. Avslutade tillfällen behålls som historik och innebär inte att en ny ansökan är öppen.

• Mathematics: Mathematics for Scientists 1

  Lund University

  Lund

  Startdatum: 18 januari 2027

  Slutdatum: 28 mars 2027

  Studietakt: 100 %