# ING0007 Elementary Mathematics 2

## Course description for academic year 2017/2018

### Contents and structure

Trigonometry and geometry, trigonometric equations and functions, vectors and integration.

### Learning Outcome

-Knowledge:

The students can

• Explain definition of sine, cosine and tangent, and other simple trigonometric correlations.
• Describe the unit circle for a fellow student.
• Define a vector.
• Explain the trigonometric definitions and present them graphically.
• Explain graphically the definite integral of a function.

-Skills

The students can

• Apply trigonometric formulas and exact trigonometric values for triangle calculation and solution of equations.
• Use trigonometric formula to solve equations and inequalities, analyze trigonometric, exponential and logarithmic functions .
• Derivate and analyze trigonometric functions.
• Use calculation rules of vector calculation in the plane and in space, in component and coordinate form.
• Find indefinite and definite integrals using integration rules and methods of integration substitution and partial fractions.

-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.

### Recommended previous knowledge

Elementary Mathematics 1

### Teaching methods

Lectures 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 fall 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, course requirements will be specified in the curriculum at semester start.

### Assessment

Written exam, 4 hours.