The students should develop their ability to understand and use mathematical concepts and models as tools within production technique applications.

After completion of the course the student is expected to be able to:

• handle and manipulate rational expressions, polynomial and power functions to solve technical problems
• use and interpret exponential functions and graphs that are utilized in e.g. building acoustics, metal cutting processes and other technical applications
• understand and use the derivative for technical applications such as optimization of design, calculating diffusion and reaction velocities or estimating the concentration gradients for diffusion and stiffening in metal production
• use trigonometry for arbitrary triangles in point positioning in geodetic measurements or metrological estimations within manufacturing technology
• use integrals to calculate the work done in thermo dynamical processes
• work with a graphical calculator

Trigonometry: uniformity, sine-, cosine and tangent of an angle, arbitrary triangles.

Functions: the symbol y = f (x), quadratic functions, inequalities, exponential- and logarithmic functions, the concept of radians, trigonometric equations.

Derivatives: the rate of change, applications of derivatives, increasing and decreasing functions, the second derivative, extreme value problems, the smallest and greatest value,

differentiation rules.

Integrals: definition, calculation of integrals and areas.

Technical applications

Lectures and exercises.

The course cannot be used as part of the Högskole Engineer Degree or BSc Degree.

The course corresponds to MA1012.