Mathematics and Physics in Chemical Analysis (5 ECTS)

Learning outcomes

The aim of the course is to deepen the knowledge acquired in the Basic Studies in Engineering Mathematics course. Students will learn to understand how physics phenomena are related to laboratory analysis and how to use mathematical methods in laboratory analysis.

Content

• Basics of derivatives and integrals in a laboratory context
• Concept of probability and basic rules of calculation, random variables and their most common distributions in a laboratory context, confidence intervals
• Use of Excel or any other program in relation to laboratory applications
• Quantities, units and unit conversions
• Kinematics; linear motion
• Dynamics; Newton's laws of motion 1 - 3
• Circular motion
• Energy and power
• Pressure
• Fluid and gas flow
• Temperature, thermal expansion and heat transfer
• Electric current and simple DC circuits (Ohm's law)

Prerequisites

Basic Studies in Engineering Mathematics

Teaching methods

Lessons, guided assignments and homework problems

Location and time

According to the schedule

Learning materials and recommended literature

Math: Material will be uploaded on OMA
Phys: Material will be uploaded on Moodle

Alternative completion methods of implementation

Physics: not avaiable

Internship and working life connections

N/A

Exam dates and retake possibilities

Math: to be agreed later
Physics: no exams, homawork assignements can't be redone

International connections

N/A

Student workload

Total workload 5 cr = 135 h

Math:
Lessons: 30 h
Self study: 49 h
Exams: 2 h
Math total: 81 h

Physics:
Lessons: 24 h
Self study: 28 h
Exam: 2 h
Physics total: 54 h

Content scheduling

All tuition in 2nd period

Math:
1. Excel-exercises (basics, derivation of the titration curve, regression analysis, logarithmic scale etc.)
2. Basic probability, random variables, common probabilty distributions applied to the problems in laboratory analysis.
3. Derivation and integration in laboratory analysis

Physics:
Quantities, units and unit conversions.
Kinematics; Motion in straight line.
Dynamics; Newton's laws of motion 1 - 3
Circular motion
Energy and power
Pressure
Flow of liquids and gases
Temperature, thermal expansion and heat transfer
Electric current and simple direct current circuits (Ohm's law)

Further information for students

Lessons may be recorded in order to enable more flexible studies.

The use of artificial intelligence is permitted in homework assignments, but the use must be mentioned and it must be specified what was done with artificial intelligence.

Assessment methods and criteria

Final grade is based on math 60%, phys 40%
Math: Exam (80%), Excel-exercises and homework (20%)

Phys: Homework assignments (100%)
1 = 40% of max. points
2 = 52% of max. points
3 = 64% of max. points
4 = 76% of max. points
5 = 88% of max. points

Evaluation scale

0-5

Assessment criteria, satisfactory (1)

Students will identify the basic concepts and phenomena of mathematics and physics and be able to solve simple problems related to them.

Assessment criteria, good (3)

Students will be able to apply the basic concepts and phenomena of mathematics and physics to problems in basic science and engineering.

Assessment criteria, excellent (5)

Students will be able to apply the basic concepts and phenomena of mathematics and physics to more demanding problems in science and technology.

Assessment criteria, approved/failed

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