Engineering Precalculus (5 cr)

Evaluation scale

H-5

Content scheduling

Syyskuu-lokakuu, OSA1:
- aritmetiikka
- algebra

Lokakuu-joulukuu, OSA2:
- trigonometria
- matriisilaskenta
- vektorilaskenta

Objective

After completing the course, the student
• can handle mathematical expressions and formulas within the engineering framework.
• understands the principles of solving equations and can solve equations encountered within technical applications.
• understands the basics of vector algebra and can apply vectors for modelling and solving technical problems.
• understands the basics concepts of geometry and trigonometry, and can apply them in modelling and problem solving.
• understands the concept of function and knows basic properties of functions.
• can apply functions for modelling and solving technical problems.
• understands the basic concepts of matrix algebra.
• can apply simultaneous equations for modelling and solving technical problems.
• can apply correct mathematical notations within the engineering framework.

Content

• Real numbers
• Basic arithmetic operations and the order of operations
• Algebraic expressions
• First and second order of polynomial equations and inequalities
• Simultaneous linear equations
• Radical functions and equations
• Exponential and logarithmic functions and equations
• Angles and angular units
• Right triangle and trigonometry
• Trigonometric functions and the unit circle
• Trigonometric equations
• The sine and cosine rules
• Basic concepts of vector algebra and modelling with vectors
• Scalar product and cross product of two vectors
• Basics of matrix algebra, determinant, inverse of a square matrix
• Field-specific content

Materials

- Luentomuistiinpanot sekä laskuharjoitusten tehtävät ja vastaukset OneNote-tiedostona
- Kaavakokoelma sekä opiskelijan oma MAOL/Tekniikan kaavasto
- Opiskelijan oma tavallinen funktiolaskin (ei graafinen/CAS/symbolinen/puhelin)

Teaching methods

Luennot
Laskuharjoitukset
Kokeet

Exam schedules

OSA1:
Osakoe1 ja sen uusinta lokakuussa
OSA2:
Osakoe2 ja sen uusinta joulukuussa

Lopullinen uusinta seuraavan vuoden tammikuussa:
voi tehdä jomman kumman tai kummatkin osakokeista, jos ei ole päässyt kurssista läpi.

Student workload

10*2h OSA1-luennot (läsnäolopakko)
2*2h kokeet
10*2h OSA2-luennot (läsnäolopakko)
3*2h kokeet
Loppu opiskelijan itsenäistä opiskelua.

Qualifications

Introduction to mathematical sciences or corresponding skills.

Further information

Sähköposti.