Vectors Module 

Credit gained: none

Prerequisites

This course is open to students currently enrolled in IB Mathematics Applications & Interpretations SL or IB Mathematics Analysis & Approaches SL who are considering university studies in Germany and need to fulfill specific mathematics eligibility requirements.

Course description

Course description

The Vectors Module is designed as an extension of the IB Mathematics Standard Level syllabus. It provides a focused and rigorous study of vector geometry, developing both conceptual understanding and analytical proficiency in two and three dimensions.

Students will explore vector representation and operations, including position and displacement vectors, magnitude, direction, unit vectors, and scalar multiplication. The course examines the scalar (dot) product and its applications in determining angles and testing perpendicularity, as well as the vector (cross) product and its geometric interpretation, including area calculations. Emphasis is placed on vector and parametric equations of lines, the relationships between lines in space (parallel, intersecting, and skew), and vector and Cartesian equations of planes using normal vectors.

Algebraic techniques are systematically integrated to strengthen geometric reasoning and support advanced problem-solving at a level aligned with Higher Level expectations.

Course Start/End Date:

  • March 30 - May 4

Course Duration: 4 weeks

Format: 1 synchronous session per week after school hours & 3 asynchronous sessions / week

Minimum Enrollment: 8 students

Instructor: Efstathios Mertzanis

Cost: €180

Fellow/Online Instructor(s)

Mertzanis, Efstathios, Fellow

Mr. Mertzanis holds a Masters of Science in Mathematics & Physics with a specialization in Nuclear Physics & Advanced Technological Materials from The National Technical University of Athens of Applied Mathematical and Physical Sciences.

With nearly a decade of experience, Mr. Mertzanis has successfully translated his academic knowledge into impactful educational practices, particularly through his work in various teaching programs. His strong foundation in mathematics and physics has enabled him to inspire and guide students across diverse age groups, fostering their intellectual growth and curiosity.

Driven by a passion for continuous learning, Mr. Mertzanis is dedicated to expanding his expertise while empowering students to achieve their academic aspirations. He is committed to making a meaningful difference in their educational journeys, blending his love for teaching with a steadfast commitment to excellence.

email: mertzanise@acs.gr