# ING0006 Elementary Mathematics 1

## Course description for academic year 2017/2018

### Contents and structure

Arithmetic and algebra, powers and roots, equations and inequalities, graphs and functions, limits and continuity. Differentiation and function analysis.

### Learning Outcome

-Knowledge: The students can

- Define mathematical concepts, such as natural numbers, whole numbers, rational and irrational numbers.
- Explain quadratic equations and factorisation, together with caculation rules for powers and roots.
- Explain the function concept, define the domain and range of a function, and how a coordinate system is constructed.
- Describe continuity and discontinuity graphically.
- Explain the definition of the derivative and differential.
- Explain the definitions of logarithmic functions and exponential functions with different basic numbers.

-Skills The students can

- Solve equations of the first and second degree, and inequalities using mathematical operations.
- Run a polynomial division and factoring polynomials.
- Draw different functions in a coordinate system and solve equations, systems of equations and inequalities graphically.
- Set up the equation for a straight line.
- Find limits and asymptotes of functions.
- Use calculation rules of differentiation to find the derivatives of sums, differences, products, quotients of composite functions.
- Use calculation rules for logarithms in exercises and to solve equations.
- Practice calculation rules of volume and area and can solve practical maximums and minimum calculations.

-General qualification: The students:

- Can write mathematics correctly with the correct use of mathematical symbols and notation.
- Can explain mathematical problems and solution methods to others, both in writing, verbally and in other ways.
- Has acquired the knowledge necessary for engineering studies.

### Entry requirements

None.

### Recommended previous knowledge

None.

### Teaching methods

Lecture and workshop

The course is taught intensively in summer. The exam will be held before the regular semester begins. There is the possibility to make a repeat examination, before the registration deadline of the autumn courses.

Because this course is a prerequisite for the engineering programme, the course must be passed in order to participate in the regular courses in the autumn.

### Compulsory learning activities

Yes (will be specified in the course plan at semester start).

### Assessment

Written exam, 4 hours.

Grade: Passed/failed.

### Examination support material

Approved calculator (Casio fx-82Es) and a formula sheet will be handed out.

More about examination support material