Physics

Aritmetic and Algebra

Fractions

Rules for parenthesis

Factoring

Exponents

Roots

Set theory, equations and Inequities:

Set theory

First and second degree equations of one or two unknowns

Factoring polynomials

Irrational equations

Simple and double inequities

Trigonometry and Geometry:

Define sine, cosine and tang.

Angles, sides and area of polygons with sine, cosine, and area sentence

Prism, pyramids, spheres, and cones

Central and pheriferal angles

Exact trigonometric values

Formulas for sine, cosine, and tang of sum and difference of angles

Trigonometric equations and inequities

Absolute angles

Sine, cosine and tang function

Amplitude, period and phase

Trigonometric equations and inequalities

Differentiation of trigonometric functions and discussion of such features

Functions:

Linear functions

Proportional and inverse proportional

Functions of second degree

Rational functions

Limits and asymptotes

Differentiation, maximum/minimum, concavity and point of inflection

Rules for differentiation of sum, difference, product, and fraction. Chain rule.

Logarithms and exponential functions: 

natural logarithms and logarithms with base 10

Discussion of logarithmic and exponential functions

Equations with exponential and logaritmic functions included

 Vectors:

Vectors in a plane and in space

Decomposition of the vectors

Scalar product

Vector coordinates in a plane and the space

Calculation with vector coordinates

The vector between two points. Length and distance.

Parallel vectors

Scalar-and vector-and triple product. Use of vectors to calculate the angle between vectors, area and volume.

Integrals and differential equiations: 

Indefinite Integral

Integration of polynomial, exponential and trigonometric functions

Partial integration, integration by substitution and by partial fractions

Simple separable differential equations of first order. Examples of practical applications of differential equationion.

Definite Integral as the limit of a sum

Definite integral and antidifferentiation

Definite integral to calculate area and volume of rotating objects

Number series: 

Arithmetic and geometric series

Convergence of infinite geometric series

Læringsutbytte - Kunnskap:

¿ has the necessary knowledge of mathematics to master subsequent courses in engineering. 

Læringsutbytte - Ferdigheter:

¿ has developed necessary skills in basic mathematics.¿ has training in mathematical thinking. 

Læringsutbytte - Kompetanse:

¿ can, in a thoughtful and reasoned way, use their knowledge and skills in handling various tasks.

Pedagogiske metoder:

Lectures and exercises 

Obligatoriske arbeidskrav:

Compulsory exercises must be approved to get admission to the exam. Halfway a 5 hours exam similar test will be held.