Study Guide

Objectives (course unit)

After completing this course student is able to
- operate with mathematical expressions related to technology and to formulate the mathematical model and solve the equations
- 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

Content (course unit)

Mathematical Notations, Unit Conversations. Mathematical Expressions. Solving Linear, Quadratic and Pair of equations. Percentages. Solving Right Triangle. Terminology of Geometry, Solving a Scalene Triangle, Areas and Volumes, Center of Mass of a Plane Region, Similarity, Scale, Vectors and Applications, Complex Numbers

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

Can handle basic mathematical expressions and solve simple linear equations. Limited ability in formulating mathematical models. Shows rudimentary understanding of geometry terms and basic ability in calculating areas, volumes, and solving scalene triangles. Understands basic concepts of the center of mass, vector calculations, and can perform simple calculations with complex numbers.

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

Effectively uses mathematical expressions and solves a range of equations, including quadratic. Good understanding of mathematical model formulation. Demonstrates a solid grasp of geometry, efficiently solving problems involving scalene triangles, and accurately calculating areas and volumes of more complex shapes. Capable of determining the center of mass for varied plane regions and performing intermediate vector calculations, applying these to technical problems.

Assessment criteria, excellent (5) (course unit)

Exhibits mastery in operating with complex mathematical expressions and solving diverse and challenging equations. Shows exceptional skill in formulating and solving mathematical models. Advanced understanding of geometry, solving complex problems involving scalene triangles, calculating areas and volumes of intricate three-dimensional objects. Accurately determines the center of mass for complex plane regions, excels in vector calculations, and innovatively applies complex numbers in various technical contexts.

Location and time

Dates and times are shown in TuniMoodle.

Exam schedules

Part 1: Geometry and Vectors
The exam will be held on Tuesday, 5th of November at 11.15-14.00 in the classroom B4-27.
Two resit exams: the first one on Friday, 15th of November at 13.15-16.00 in the classrooms B4-18 & B4-27 and the second one on Friday, 13th of December at 13.15-16.00 in the classrooms B4-18 and B4-27.

Assessment methods and criteria

The final grade is based on two exams and the homework. A homework package is given weekly (approximately 14 packages). One point is given for every submitted homework package in Moodle. Homework packages are not accepted by email. The maximum points for the part 1 (Geometry and Vectors) is 43 points and part 2 (Functions and Matrices) is 43 points. The homework and the exams together give the maximum of 100 points. The grade is based on the following table

25 points -> grade 1
40 points -> grade 2
55 points -> grade 3
70 points -> grade 4
85 points -> grade 5

Assessment scale

0-5

Teaching methods

Contact lessons, exercises, self-study, videos, homework, exam.
A student solves exercises and saves them in TuniMoodle by given dead-lines.

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.

Student workload

A student is expected to study 27 hours / credit unit (135 hours / 5 credit units).

Content scheduling

Topics are shown in TuniMoodle.

Completion alternatives

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Practical training and working life cooperation

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International connections

Part 2: Functions and Matrices
The exam will be held on Thursday, 12th of December at 08.15-11.00 in the classroom B4-27.
Two resit exams: the first one on Friday, 17th of January 2025 at 13.15-16.00 in the classrooms B4-18 & B4-27 and the second one on Friday, 7th of February 2025 at 13.15-16.00 in the classrooms B4-18 and B4-27.

Further information

A student is expected to have a scientific calculator and a formula book. (Formula book Technical Formulas published by Tammertekniikka is recommended.)