# 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.

None.

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.