# ING1028 Technical Science 1

## Course description for academic year 2018/2019

### Contents and structure

Arithmetic and algebra, powers and roots, equations and inequalities, trigonometry in degrees and radians, graphs and functions, limits and continuity, derivation and function analysis, vectors. Distance, speed and time, mass, weight and density. Direct Current, Alternating Current og battery systems.

### Learning Outcome

-Knowledge:

The students can

- Define mathematical concepts, such as natural numbers, whole numbers, rational and irrational numbers.
- Explain quadratic equations and factorization, together with calculation rules for powers and roots.
- Explain definition of sine, cosine and tangent, and other simple trigonometric correlations.
- Describe the unit circle for a fellow student.
- Explain the function concept, define the range and value of a function, and how a coordinate system is constructed.
- Describe continuity and discontinuity graphically.
- Define a vector

-Skills

The students can

- Solve equations of the first and second degree, and inequalities using mathematical operations.
- Run a polynomial division and factoring polynomials.
- Apply trigonometric formulas and exact trigonometric values for triangle calculation and solution of equations.
- 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.
- Perform calculations related to distance, speed and time.
- Use differentiation techniques to find the derivative of sums, differences, products and quotient as well as composite functions.
- Perform calculations on vectors in a plane and in space.

-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

Lectures and workshop.

### Compulsory learning activities

Yes, will be specified in the course plan by semester start.

### Assessment

Written exam, 5 hours.

Grade: A-F/passed ; F/failled

### Examination support material

Simple calculator: Allowed calculator is Casio fx-82 (all varieties: ES, ES Plus, EX, Solar etc.).

A formula sheet will be handed out during the exam.

More about examination support material