# MA414 Mathematics for Science Studies

## Course description for academic year 2020/2021

### Contents and structure

The module gives a basic introduction to mathematical analysis, 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

• 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

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

General qualifications

• 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.

None

### Assessment

Written exam 4 hours. Grades A-F

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