MA414 Mathematics for Science Studies

Contents and structure

The course gives a basic introduction to mathematics: functions of one variable, differential and integral calculus, maxima and minima, exponential, logarithmic and polynomial functions, trigonometry and vector calculations, linear equations, functions of two variables and an introduction to differential equations and finite difference methods.

Learning Outcome

Knowledge

Students know about:

• functions of one variable
• exponential, logarithmic and polynomial functions
• trigonometry and vector calculations
• differential and integral calculus
• functions of several variables
• limit values of simple functions
• basic differential equations
• finite difference methods

Skills

Students can:

• execute algebraic manipulation of equations containing powers, fractions, exponential, logarithmic and trigonometric functions
• use differential calculus to calculate local and global maximums and minimums of a function
• use integral calculus to calculate the sum contributions of a function and volumes of revolution and solve simple differential equations

General competence

• After having passed this module, the students will be familiar with mathematical concepts and methods which will be applied to solve practical problems later in their studies.

Entry requirements

The subject builds upon R1/(S1+S2) from highschool.

Teaching methods

Lectures and problem solving.

Compulsory learning activities

None

Assessment

Written examination under supervision, 4 hours. Grading A-F

Examination support material

Calculator

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