Start: 05 September, 2017
Duration : 9 Months
Instructors: Adam Lichty, Nicole Cerone
Phone : +43662824617
Fax: +43662824555
Email :

The department of mathematics has a mission to provide all students with a solid understanding of mathematical concepts and the ability to relate and apply mathematics to real-world situations. We strive to maximize our students abilities to solve multi-step problems with and without the aid of handheld technology, thus best preparing them for the ultimate pursuit of a career in mathematics or related fields.

The department of mathematics at AIS-Salzburg believes that mathematics is of the most interdisciplinary use and is therefore considered one of the core subject areas. All students at AIS-Salzburg must be enrolled in at least one full-credit mathematics course each year in the seventh and eight grades, and complete a minimum of three academic credits in mathematics in grades nine through twelve.

It is our goal to make the transition from Pre-algebra to AP Calculus a smooth, seamless journey where the students are able to easily carry forward and relate the key concepts and ideas from their previous course.

Pre-algebra at AIS-Salzburg is a general mathematics course which covers and reinforces basic mathematical terminology and procedures. Arithmetic processes are refined and reinforced as well as a wide range of mathematical concepts and terminology.
Algebra I lays the foundation for virtually all higher mathematics to be studied in the student’s academic future. In previous courses, students have used a letter to represent a number they seek to find. In Algebra I, however, the student is less concerned about what number the letter represents and will concentrate on the things that are true just because it is a number. Students will use expressions containing these letters to represent quantities in the real world. This will enable the student to predict such things as how high a bouncing ball is at a given point, how long it takes to reach a given height, and when it will be back down again. Particularly, students will learn to reduce complicated problems to simple ones, write expressions to represent a variable quantity in real-world situations, develop skills helpful in science classes, and learn operations with algebraic functions through rational expressions, multiplication and division, and addition and subtraction.
Geometry is the study of points, lines, shapes, and solids. The students will be engaged with fascinating theories concerning these which have been proven by mathematicians over thousands of years and learn to prove them themselves. The study of geometry develops the student’s spatial awareness and ability to think and imagine in 2 and 3 dimensions. Students will learn to draw diagrams accurately and construct shapes precisely using a compass. Course content includes the study of lines, points, and planes, angles, transformations, perimeter, area and volume, congruency and similarity, the Pythagorean Theorem. Finally students will be introduced to trigonometry.
The Algebra II course focuses primarily on the intermediate algebra level with the goal to evolve to circular and trigonometric functions and some advanced algebra. The ultimate unity of algebra and trigonometry will provide the foundation necessary for continuing on to precalculus and AP calculus in the following years. Major objectives for the course include the study of linear, quadratic, exponential, rational, and irrational functions and the ability to graph them by hand and on an automatic grapher; the ability to select a function and derive an equation that suits the information given within the problem; use of a variety of mathematical concepts to solve the same problem; and the ability to create mathematical models of phenomena in the real world.
Advanced Mathematics is a comprehensive mathematics course in which we integrate functions, statistics, and trigonometry and apply the algebra and geometry previously studied. Major objectives of the course include making connections to other areas of mathematics, to other disciplines, and to the real world, the review and extension of ideas about linear, quadratic, exponential, and logarithm functions, as well as polynomial, trigonometric, and circular function, and the ability to collect and interpret statistics through a large variety of methods including circle graphs, histograms, box plots, etc. The Advanced Mathematics course at AIS-Salzburg is generally reserved for students whose mathematics skills do not allow them to take the pre-calculus and AP calculus courses.
Precalculus is a full-year course which is designed to help further improve algebraic skills with particular reference to functions. Students will be introduced to and learn to manipulate a number of important functions. As well as providing the foundations for the AP Calculus course the following year, precalculus covers a wide range of skills that will support the use of algebra, graphing and logical reasoning in many other subject areas.
Calculus is widely recognized as one of the most fundamental areas of mathematics. This course aims to help students develop an understanding of what calculus is and then to pride them with the knowledge and skills to use it in a number of contexts. It has many uses within mathematics and the sciences generally (e.g. drawing curves, finding maximums and minimums, calculating rates of change such as acceleration, finding areas under curves and the volumes of solids generated by curves. This course is considered preparatory for students who wish to sit the AP Calculus AB Examination in May.