Geometry and Vector Algebra (3 cr)

Objectives (course unit)

After completing this course student is able to understand basic terminology of geometry, solve a scalene triangle, calculate areas and volumes of two- and three-dimensional objects, determine the center of mass of a plane region, perform basic vector calculations, apply vectors to technical problems, and perform calculations with complex numbers.

Content (course unit)

Terminology of Geometry, Solving a Scalene Triangle, Areas and Volumes, Center of Mass of a Plane Region, Similarity, Scale, Vectors and Applications, Complex Numbers

Prerequisites (course unit)

Orientation for engineering mathematics or similar skills.

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concepts of geometry and vector calculations and is able to solve simple applications that are similar to the model problems solved during the course.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to solve basic geometrical problems and knows how to apply vectors to technical problems. Student is also able to explain the methods of her/his solutions.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of using course topics to solve various applications and the ability to present and justify the chosen methods of solution.

Location and time

Dates and times are shown in TuniMoodle.

Exam schedules

The exam will be held on Friday, 23rd of October at 8.15-11.00 in the classroom D1-04 (new classroom). A student has to complete and submit at least 50 % of the exercises to be able to attend the exam.
Three resit exams, the first one on Wednesday 18th of November, the second one on Wednesday 9th of December at 8.15-11.00 in the classroom B2-35 and the third one on Wednesday 20th of January (more details later).

Assessment methods and criteria

The final grade is based on the exam. To pass the exam a student has to get at least 40 % of the maximum points.

40 % -> grade 1
52,5 % -> grade 2
65 % -> grade 3
77,5 % -> grade 4
90 % -> grade 5

Assessment scale

0-5

Teaching methods

Lessons, exercises, self-study, videos, exercises, group work, homework, exam.
A student solves mandatory exercises and saves them in TuniMoodle by given dead-lines. Before each dead-line a student has a chance to ask help in "helpdesk"-meetings.

Learning materials

All material, theory and exercises, can be found in TuniMoodle. If necessary, a student can use math books he/she has used before and the Internet to search more information about the topics. A student can borrow books in TAMK library. The solutions for the some homework will be published in TuniMoodle after every deadline.

Content scheduling

Topics are shown in TuniMoodle.