Curricula

Objectives

The goal of the course
You will learn to process and analyse statistical data in order to make right decisions in working life. You will learn to calculate probabilities of different events or risks and to study statistical dependence found in the data.

Course competences
Knowledge and understanding (EUR-CE KN)

Learning outcomes
You know basic concepts and and methods of probability and statistics. You can analyze statistical data, make forecasts and study statistical relationships. You can calculate probabilities of events and evaluate risks. You know random variables, statistical distributions and the expectation value. You can use Excel in applications.

Content

Descriptive statistics
Fundamentals of probability theory
Statistical distributions
Linear regression and correlation
Using Excel in applications

Time and location

Tapaamiset monimuotoryhmän aikataulun mukaisesti syksyn aikana

Learning materials and recommended literature

Material in Moodle
Additional material:
9789526329796 Nummenmaa, L., Holopainen, M. & Pulkkinen, P. (2017) Tilastollisten menetelmien perusteet. Helsinki: Sanoma Pro

Teaching methods

Lectures and exercise sessions. Independent studying with Moodle material. Excel is applied with exercises.

Exam dates and retake possibilities

Loppukokeen voi tehdä Exam-studiossa itselleen sopivana ajankohtana. Loppukokeita järjestetään loppusyksystä myös zoom-valvottuina, zoom-valvottujen tenttien ajankohdat ilmoitetaan työtilassa.

Student workload

81h

Further information for students

Exam 80-90%
Homework 10-20%

Evaluation scale

0-5

Evaluation criteria, satisfactory (1-2)

Adequate 1
You have achieved the desired goals. You know a few of the concepts and methods and how to apply them in familiar situations but your reasoning is often deficient and you make mistakes in calculations.

Satisfactory 2
You have achieved the desired goals. You know many of the concepts and methods and how to apply them in familiar situations but your reasoning is sometimes deficient or you make mistakes in calculations.

Evaluation criteria, good (3-4)

Good 3
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in familiar situations showing often the ability to reason completely and calculate flawlessly

Very good 4
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in new situations showing in most cases the ability to reason completely and calculate flawlessly.

Evaluation criteria, excellent (5)

Excellent 5
You have achieved the desired goals. You know all the concepts and methods and how to apply them in new situations showing always the ability to combine things, reason completely and calculate flawlessly.

Prerequisites

Basic use of spreadsheets

Objectives

The goal of the course
You will learn to process and analyse statistical data in order to make right decisions in working life. You will learn to calculate probabilities of different events or risks and to study statistical dependence found in the data.

Course competences
Knowledge and understanding (EUR-CE KN)

Learning outcomes
You know basic concepts and and methods of probability and statistics. You can analyze statistical data, make forecasts and study statistical relationships. You can calculate probabilities of events and evaluate risks. You know random variables, statistical distributions and the expectation value. You can use Excel in applications.

Content

Descriptive statistics
Fundamentals of probability theory
Statistical distributions
Linear regression and correlation
Using Excel in applications

Time and location

Kurssin materiaaleja voi käydä omaan tahtiin ja tehdä loppukokeen Exam-studiossa itselleen sopivana ajankohtana. Loppukokeita järjestetään loppusyksystä myös zoom-valvottuina, zoom-valvottujen tenttien ajankohdat ilmoitetaan työtilassa.

Learning materials and recommended literature

Material in Moodle
Additional material:
9789526329796 Nummenmaa, L., Holopainen, M. & Pulkkinen, P. (2017) Tilastollisten menetelmien perusteet. Helsinki: Sanoma Pro

Teaching methods

Lectures and exercise sessions. Independent studying with Moodle material.

Exam dates and retake possibilities

Loppukokeen voi tehdä Exam-studiossa itselleen sopivana ajankohtana. Loppukokeita järjestetään loppusyksystä myös zoom-valvottuina, zoom-valvottujen tenttien ajankohdat ilmoitetaan työtilassa.

Student workload

81h

Further information for students

Exam 80-90%
Homework 10-20%

Evaluation scale

0-5

Evaluation criteria, satisfactory (1-2)

Adequate 1
You have achieved the desired goals. You know a few of the concepts and methods and how to apply them in familiar situations but your reasoning is often deficient and you make mistakes in calculations.

Satisfactory 2
You have achieved the desired goals. You know many of the concepts and methods and how to apply them in familiar situations but your reasoning is sometimes deficient or you make mistakes in calculations.

Evaluation criteria, good (3-4)

Good 3
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in familiar situations showing often the ability to reason completely and calculate flawlessly

Very good 4
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in new situations showing in most cases the ability to reason completely and calculate flawlessly.

Evaluation criteria, excellent (5)

Excellent 5
You have achieved the desired goals. You know all the concepts and methods and how to apply them in new situations showing always the ability to combine things, reason completely and calculate flawlessly.

Prerequisites

Basic use of spreadsheets

Objectives

The goal of the course
You will learn to process and analyse statistical data in order to make right decisions in working life. You will learn to calculate probabilities of different events or risks and to study statistical dependence found in the data.

Course competences
Knowledge and understanding (EUR-CE KN)

Learning outcomes
You know basic concepts and and methods of probability and statistics. You can analyze statistical data, make forecasts and study statistical relationships. You can calculate probabilities of events and evaluate risks. You know random variables, statistical distributions and the expectation value. You can use Excel in applications.

Content

Descriptive statistics
Fundamentals of probability theory
Statistical distributions
Linear regression and correlation
Using Excel in applications

Time and location

Kurssin materiaaleja voi käydä omaan tahtiin, ottaen kuitenkin huomioon loppukoeajankohdat. Loppukoe tehdään Exam-studiossa kevään aikana itselle sopivana ajankohtana.

Learning materials and recommended literature

Material in Moodle
Additional material:
9789526329796 Nummenmaa, L., Holopainen, M. & Pulkkinen, P. (2017) Tilastollisten menetelmien perusteet. Helsinki: Sanoma Pro

Teaching methods

Lectures and exercise sessions. Independent studying with Moodle material.

Exam dates and retake possibilities

Loppukoe tehdään Exam-studiossa kevään aikana itselle sopivana ajankohtana.

Student workload

81h

Further information for students

Exam 80-90%
Homework 10-20%

Evaluation scale

0-5

Evaluation criteria, satisfactory (1-2)

Adequate 1
You have achieved the desired goals. You know a few of the concepts and methods and how to apply them in familiar situations but your reasoning is often deficient and you make mistakes in calculations.

Satisfactory 2
You have achieved the desired goals. You know many of the concepts and methods and how to apply them in familiar situations but your reasoning is sometimes deficient or you make mistakes in calculations.

Evaluation criteria, good (3-4)

Good 3
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in familiar situations showing often the ability to reason completely and calculate flawlessly

Very good 4
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in new situations showing in most cases the ability to reason completely and calculate flawlessly.

Evaluation criteria, excellent (5)

Excellent 5
You have achieved the desired goals. You know all the concepts and methods and how to apply them in new situations showing always the ability to combine things, reason completely and calculate flawlessly.

Prerequisites

Basic use of spreadsheets

Objectives

The goal of the course
You will learn to process and analyse statistical data in order to make right decisions in working life. You will learn to calculate probabilities of different events or risks and to study statistical dependence found in the data.

Course competences
Knowledge and understanding (EUR-CE KN)

Learning outcomes
You know basic concepts and and methods of probability and statistics. You can analyze statistical data, make forecasts and study statistical relationships. You can calculate probabilities of events and evaluate risks. You know random variables, statistical distributions and the expectation value. You can use Excel in applications.

Content

Descriptive statistics
Fundamentals of probability theory
Statistical distributions
Linear regression and correlation
Using Excel in applications

Time and location

Tapaamiset monimuotoryhmän aikataulun mukaisesti kevään aikana

Learning materials and recommended literature

Material in Moodle
Additional material:
9789526329796 Nummenmaa, L., Holopainen, M. & Pulkkinen, P. (2017) Tilastollisten menetelmien perusteet. Helsinki: Sanoma Pro

Teaching methods

Lectures and exercise sessions. Independent studying with Moodle material. Excel is applied with exercises.

Exam dates and retake possibilities

Lioppukoeajankohdat ilmoitetaan kurssin ensimmäisellä luennolla

Student workload

81h

Further information for students

Exam 80-90%
Homework 10-20%

Evaluation scale

0-5

Evaluation criteria, satisfactory (1-2)

Adequate 1
You have achieved the desired goals. You know a few of the concepts and methods and how to apply them in familiar situations but your reasoning is often deficient and you make mistakes in calculations.

Satisfactory 2
You have achieved the desired goals. You know many of the concepts and methods and how to apply them in familiar situations but your reasoning is sometimes deficient or you make mistakes in calculations.

Evaluation criteria, good (3-4)

Good 3
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in familiar situations showing often the ability to reason completely and calculate flawlessly

Very good 4
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in new situations showing in most cases the ability to reason completely and calculate flawlessly.

Evaluation criteria, excellent (5)

Excellent 5
You have achieved the desired goals. You know all the concepts and methods and how to apply them in new situations showing always the ability to combine things, reason completely and calculate flawlessly.

Prerequisites

Basic use of spreadsheets

Objectives

The goal of the course
You will learn to process and analyse statistical data in order to make right decisions in working life. You will learn to calculate probabilities of different events or risks and to study statistical dependence found in the data.

Course competences
Knowledge and understanding (EUR-CE KN)

Learning outcomes
You know basic concepts and and methods of probability and statistics. You can analyze statistical data, make forecasts and study statistical relationships. You can calculate probabilities of events and evaluate risks. You know random variables, statistical distributions and the expectation value. You can use Excel in applications.

Content

Descriptive statistics
Fundamentals of probability theory
Statistical distributions
Linear regression and correlation
Using Excel in applications

Time and location

Lextue/Exercise session 90min / week during weeks 3-13

Learning materials and recommended literature

Material in Moodle
Additional material:
Johnson, R. (2008) Miller and Freund’s Probability and Statistics for Engineers
9789526329796 Nummenmaa, L., Holopainen, M. & Pulkkinen, P. (2017) Tilastollisten menetelmien perusteet. Helsinki: Sanoma Pro

Teaching methods

Lectures and exercise sessions. Independent studying with Moodle material. Group assignments. Excel is applied with exercises.

Exam dates and retake possibilities

The time of the Exam is informed on the first lesson.

Student workload

Lessons approx 20h, Homework, group assignments and independent studying 60h

Further information for students

Exam 80-90%
Homework 10-20%

Evaluation scale

0-5

Evaluation criteria, satisfactory (1-2)

Adequate 1
You have achieved the desired goals. You know a few of the concepts and methods and how to apply them in familiar situations but your reasoning is often deficient and you make mistakes in calculations.

Satisfactory 2
You have achieved the desired goals. You know many of the concepts and methods and how to apply them in familiar situations but your reasoning is sometimes deficient or you make mistakes in calculations.

Evaluation criteria, good (3-4)

Good 3
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in familiar situations showing often the ability to reason completely and calculate flawlessly

Very good 4
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in new situations showing in most cases the ability to reason completely and calculate flawlessly.

Evaluation criteria, excellent (5)

Excellent 5
You have achieved the desired goals. You know all the concepts and methods and how to apply them in new situations showing always the ability to combine things, reason completely and calculate flawlessly.

Prerequisites

Basic use of spreadsheets

Objectives

The goal of the course
You will learn to process and analyse statistical data in order to make right decisions in working life. You will learn to calculate probabilities of different events or risks and to study statistical dependence found in the data.

Course competences
Knowledge and understanding (EUR-CE KN)

Learning outcomes
You know basic concepts and and methods of probability and statistics. You can analyze statistical data, make forecasts and study statistical relationships. You can calculate probabilities of events and evaluate risks. You know random variables, statistical distributions and the expectation value. You can use Excel in applications.

Content

Descriptive statistics
Fundamentals of probability theory
Statistical distributions
Linear regression and correlation
Using Excel in applications

Time and location

Lextue/Exercise session 90min / week during weeks 3-14, Exam on week 15

Learning materials and recommended literature

Material in Moodle
Additional material:
Johnson, R. (2008) Miller and Freund’s Probability and Statistics for Engineers
9789526329796 Nummenmaa, L., Holopainen, M. & Pulkkinen, P. (2017) Tilastollisten menetelmien perusteet. Helsinki: Sanoma Pro

Teaching methods

Lectures and exercise sessions. Independent studying with Moodle material. Excel is applied with exercises.

Exam dates and retake possibilities

The time of the Exam is informed on the first lesson.

Student workload

Lessons approx 20h, Homework and independent studying 60h

Further information for students

Exam 80-90%
Homework10-20%

Evaluation scale

0-5

Evaluation criteria, satisfactory (1-2)

Adequate 1
You have achieved the desired goals. You know a few of the concepts and methods and how to apply them in familiar situations but your reasoning is often deficient and you make mistakes in calculations.

Satisfactory 2
You have achieved the desired goals. You know many of the concepts and methods and how to apply them in familiar situations but your reasoning is sometimes deficient or you make mistakes in calculations.

Evaluation criteria, good (3-4)

Good 3
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in familiar situations showing often the ability to reason completely and calculate flawlessly

Very good 4
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in new situations showing in most cases the ability to reason completely and calculate flawlessly.

Evaluation criteria, excellent (5)

Excellent 5
You have achieved the desired goals. You know all the concepts and methods and how to apply them in new situations showing always the ability to combine things, reason completely and calculate flawlessly.

Prerequisites

Basic use of spreadsheets

Objectives

The goal of the course
You will learn to process and analyse statistical data in order to make right decisions in working life. You will learn to calculate probabilities of different events or risks and to study statistical dependence found in the data.

Course competences
Knowledge and understanding (EUR-CE KN)

Learning outcomes
You know basic concepts and and methods of probability and statistics. You can analyze statistical data, make forecasts and study statistical relationships. You can calculate probabilities of events and evaluate risks. You know random variables, statistical distributions and the expectation value. You can use Excel in applications.

Content

Descriptive statistics
Fundamentals of probability theory
Statistical distributions
Linear regression and correlation
Using Excel in applications

Time and location

Lexture/Exercise session 90min / week during weeks 2-8

Learning materials and recommended literature

Material in Moodle
Additional material:
Johnson, R. (2008) Miller and Freund’s Probability and Statistics for Engineers
9789526329796 Nummenmaa, L., Holopainen, M. & Pulkkinen, P. (2017) Tilastollisten menetelmien perusteet. Helsinki: Sanoma Pro

Teaching methods

Lectures and exercise sessions. Independent studying with Moodle material. Excel is applied with exercises.

Exam dates and retake possibilities

The time of the Exam is informed on the first lesson.

Student workload

Lessons approx 20h, Homework, group assignments and independent studying 60h

Further information for students

Exam 80-90%
Homework 10-20%

Evaluation scale

0-5

Evaluation criteria, satisfactory (1-2)

Adequate 1
You have achieved the desired goals. You know a few of the concepts and methods and how to apply them in familiar situations but your reasoning is often deficient and you make mistakes in calculations.

Satisfactory 2
You have achieved the desired goals. You know many of the concepts and methods and how to apply them in familiar situations but your reasoning is sometimes deficient or you make mistakes in calculations.

Evaluation criteria, good (3-4)

Good 3
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in familiar situations showing often the ability to reason completely and calculate flawlessly

Very good 4
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in new situations showing in most cases the ability to reason completely and calculate flawlessly.

Evaluation criteria, excellent (5)

Excellent 5
You have achieved the desired goals. You know all the concepts and methods and how to apply them in new situations showing always the ability to combine things, reason completely and calculate flawlessly.

Prerequisites

Basic use of spreadsheets

Objectives

The goal of the course
You will learn to process and analyse statistical data in order to make right decisions in working life. You will learn to calculate probabilities of different events or risks and to study statistical dependence found in the data.

Course competences
Knowledge and understanding (EUR-CE KN)

Learning outcomes
You know basic concepts and and methods of probability and statistics. You can analyze statistical data, make forecasts and study statistical relationships. You can calculate probabilities of events and evaluate risks. You know random variables, statistical distributions and the expectation value. You can use Excel in applications.

Content

Descriptive statistics
Fundamentals of probability theory
Statistical distributions
Linear regression and correlation
Using Excel in applications

Time and location

Lextue/Exercise session 90min / week during weeks 3-14, Exam on week 15

Learning materials and recommended literature

Material in Moodle
Additional material:
Johnson, R. (2008) Miller and Freund’s Probability and Statistics for Engineers
9789526329796 Nummenmaa, L., Holopainen, M. & Pulkkinen, P. (2017) Tilastollisten menetelmien perusteet. Helsinki: Sanoma Pro

Teaching methods

Lectures and exercise sessions. Independent studying with Moodle material. Excel is applied with exercises.

Exam dates and retake possibilities

The time of the Exam is informed on the first lesson.

Student workload

Lessons approx 20h, Homework and independent studying 60h

Further information for students

Exam 80-90%
Homework10-20%

Evaluation scale

0-5

Evaluation criteria, satisfactory (1-2)

Adequate 1
You have achieved the desired goals. You know a few of the concepts and methods and how to apply them in familiar situations but your reasoning is often deficient and you make mistakes in calculations.

Satisfactory 2
You have achieved the desired goals. You know many of the concepts and methods and how to apply them in familiar situations but your reasoning is sometimes deficient or you make mistakes in calculations.

Evaluation criteria, good (3-4)

Good 3
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in familiar situations showing often the ability to reason completely and calculate flawlessly

Very good 4
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in new situations showing in most cases the ability to reason completely and calculate flawlessly.

Evaluation criteria, excellent (5)

Excellent 5
You have achieved the desired goals. You know all the concepts and methods and how to apply them in new situations showing always the ability to combine things, reason completely and calculate flawlessly.

Prerequisites

Basic use of spreadsheets

Objectives

The goal of the course
You will learn to process and analyse statistical data in order to make right decisions in working life. You will learn to calculate probabilities of different events or risks and to study statistical dependence found in the data.

Course competences
Knowledge and understanding (EUR-CE KN)

Learning outcomes
You know basic concepts and and methods of probability and statistics. You can analyze statistical data, make forecasts and study statistical relationships. You can calculate probabilities of events and evaluate risks. You know random variables, statistical distributions and the expectation value. You can use Excel in applications.

Content

Descriptive statistics
Fundamentals of probability theory
Statistical distributions
Linear regression and correlation
Using Excel in applications

Time and location

Kurssin materiaaleja voi käydä omaan tahtiin, ottaen kuitenkin huomioon loppukoeajankohdat. Loppukokeet pidetään loppusyksystä ja niiden ajankohdat ilmoitetaan työtilassa.

Learning materials and recommended literature

Material in Moodle
Additional material:
9789526329796 Nummenmaa, L., Holopainen, M. & Pulkkinen, P. (2017) Tilastollisten menetelmien perusteet. Helsinki: Sanoma Pro

Teaching methods

Lectures and exercise sessions. Independent studying with Moodle material.

Exam dates and retake possibilities

Loppukoeajankohdat ilmoitetaan kurssin työtilassa.

Student workload

81h

Further information for students

Exam 80-90%
Homework 10-20%

Evaluation scale

0-5

Evaluation criteria, satisfactory (1-2)

Adequate 1
You have achieved the desired goals. You know a few of the concepts and methods and how to apply them in familiar situations but your reasoning is often deficient and you make mistakes in calculations.

Satisfactory 2
You have achieved the desired goals. You know many of the concepts and methods and how to apply them in familiar situations but your reasoning is sometimes deficient or you make mistakes in calculations.

Evaluation criteria, good (3-4)

Good 3
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in familiar situations showing often the ability to reason completely and calculate flawlessly

Very good 4
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in new situations showing in most cases the ability to reason completely and calculate flawlessly.

Evaluation criteria, excellent (5)

Excellent 5
You have achieved the desired goals. You know all the concepts and methods and how to apply them in new situations showing always the ability to combine things, reason completely and calculate flawlessly.

Prerequisites

Basic use of spreadsheets

Objectives

The goal of the course
You will learn to process and analyse statistical data in order to make right decisions in working life. You will learn to calculate probabilities of different events or risks and to study statistical dependence found in the data.

Course competences
Knowledge and understanding (EUR-CE KN)

Learning outcomes
You know basic concepts and and methods of probability and statistics. You can analyze statistical data, make forecasts and study statistical relationships. You can calculate probabilities of events and evaluate risks. You know random variables, statistical distributions and the expectation value. You can use Excel in applications.

Content

Descriptive statistics
Fundamentals of probability theory
Statistical distributions
Linear regression and correlation
Using Excel in applications

Time and location

Tapaamiset monimuotoryhmän aikataulun mukaisesti syksyn aikana

Learning materials and recommended literature

Material in Moodle
Additional material:
9789526329796 Nummenmaa, L., Holopainen, M. & Pulkkinen, P. (2017) Tilastollisten menetelmien perusteet. Helsinki: Sanoma Pro

Teaching methods

Lectures and exercise sessions. Independent studying with Moodle material. Excel is applied with exercises.

Exam dates and retake possibilities

Lioppukoeajankohdat ilmoitetaan kurssin ensimmäisellä luennolla

Student workload

81h

Further information for students

Exam 80-90%
Homework 10-20%

Evaluation scale

0-5

Evaluation criteria, satisfactory (1-2)

Adequate 1
You have achieved the desired goals. You know a few of the concepts and methods and how to apply them in familiar situations but your reasoning is often deficient and you make mistakes in calculations.

Satisfactory 2
You have achieved the desired goals. You know many of the concepts and methods and how to apply them in familiar situations but your reasoning is sometimes deficient or you make mistakes in calculations.

Evaluation criteria, good (3-4)

Good 3
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in familiar situations showing often the ability to reason completely and calculate flawlessly

Very good 4
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in new situations showing in most cases the ability to reason completely and calculate flawlessly.

Evaluation criteria, excellent (5)

Excellent 5
You have achieved the desired goals. You know all the concepts and methods and how to apply them in new situations showing always the ability to combine things, reason completely and calculate flawlessly.

Prerequisites

Basic use of spreadsheets

Objectives

The goal of the course
You will learn to process and analyse statistical data in order to make right decisions in working life. You will learn to calculate probabilities of different events or risks and to study statistical dependence found in the data.

Course competences
Knowledge and understanding (EUR-CE KN)

Learning outcomes
You know basic concepts and and methods of probability and statistics. You can analyze statistical data, make forecasts and study statistical relationships. You can calculate probabilities of events and evaluate risks. You know random variables, statistical distributions and the expectation value. You can use Excel in applications.

Content

Descriptive statistics
Fundamentals of probability theory
Statistical distributions
Linear regression and correlation
Using Excel in applications

Time and location

Tapaamiset monimuotoryhmän aikataulun mukaisesti syksyn aikana

Learning materials and recommended literature

Material in Moodle
Additional material:
9789526329796 Nummenmaa, L., Holopainen, M. & Pulkkinen, P. (2017) Tilastollisten menetelmien perusteet. Helsinki: Sanoma Pro

Teaching methods

Lectures and exercise sessions. Independent studying with Moodle material. Excel is applied with exercises.

Exam dates and retake possibilities

Lioppukoeajankohdat ilmoitetaan kurssin ensimmäisellä luennolla

Student workload

81h

Further information for students

Exam 80-90%
Homework 10-20%

Evaluation scale

0-5

Evaluation criteria, satisfactory (1-2)

Adequate 1
You have achieved the desired goals. You know a few of the concepts and methods and how to apply them in familiar situations but your reasoning is often deficient and you make mistakes in calculations.

Satisfactory 2
You have achieved the desired goals. You know many of the concepts and methods and how to apply them in familiar situations but your reasoning is sometimes deficient or you make mistakes in calculations.

Evaluation criteria, good (3-4)

Good 3
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in familiar situations showing often the ability to reason completely and calculate flawlessly

Very good 4
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in new situations showing in most cases the ability to reason completely and calculate flawlessly.

Evaluation criteria, excellent (5)

Excellent 5
You have achieved the desired goals. You know all the concepts and methods and how to apply them in new situations showing always the ability to combine things, reason completely and calculate flawlessly.

Prerequisites

Basic use of spreadsheets

Objectives

The goal of the course
You will learn to process and analyse statistical data in order to make right decisions in working life. You will learn to calculate probabilities of different events or risks and to study statistical dependence found in the data.

Course competences
Knowledge and understanding (EUR-CE KN)

Learning outcomes
You know basic concepts and and methods of probability and statistics. You can analyze statistical data, make forecasts and study statistical relationships. You can calculate probabilities of events and evaluate risks. You know random variables, statistical distributions and the expectation value. You can use Excel in applications.

Content

Descriptive statistics
Fundamentals of probability theory
Statistical distributions
Linear regression and correlation
Using Excel in applications

Evaluation scale

0-5

Evaluation criteria, satisfactory (1-2)

Adequate 1
You have achieved the desired goals. You know a few of the concepts and methods and how to apply them in familiar situations but your reasoning is often deficient and you make mistakes in calculations.

Satisfactory 2
You have achieved the desired goals. You know many of the concepts and methods and how to apply them in familiar situations but your reasoning is sometimes deficient or you make mistakes in calculations.

Evaluation criteria, good (3-4)

Good 3
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in familiar situations showing often the ability to reason completely and calculate flawlessly

Very good 4
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in new situations showing in most cases the ability to reason completely and calculate flawlessly.

Evaluation criteria, excellent (5)

Excellent 5
You have achieved the desired goals. You know all the concepts and methods and how to apply them in new situations showing always the ability to combine things, reason completely and calculate flawlessly.

Prerequisites

Basic use of spreadsheets

Objectives

The goal of the course
You will learn to process and analyse statistical data in order to make right decisions in working life. You will learn to calculate probabilities of different events or risks and to study statistical dependence found in the data.

Course competences
Knowledge and understanding (EUR-CE KN)

Learning outcomes
You know basic concepts and and methods of probability and statistics. You can analyze statistical data, make forecasts and study statistical relationships. You can calculate probabilities of events and evaluate risks. You know random variables, statistical distributions and the expectation value. You can use Excel in applications.

Content

Descriptive statistics
Fundamentals of probability theory
Statistical distributions
Linear regression and correlation
Using Excel in applications

Time and location

Kurssin materiaaleja voi käydä omaan tahtiin, ottaen kuitenkin huomioon loppukoeajankohdat. Loppukokeet pidetään loppukeväällä ja niiden ajankohdat ilmoitetaan työtilassa.

Learning materials and recommended literature

Material in Moodle
Additional material:
9789526329796 Nummenmaa, L., Holopainen, M. & Pulkkinen, P. (2017) Tilastollisten menetelmien perusteet. Helsinki: Sanoma Pro

Teaching methods

Lectures and exercise sessions. Independent studying with Moodle material.

Exam dates and retake possibilities

Loppukoeajankohdat ilmoitetaan kurssin työtilassa.

Student workload

81h

Further information for students

Exam 80-90%
Homework 10-20%

Evaluation scale

0-5

Evaluation criteria, satisfactory (1-2)

Adequate 1
You have achieved the desired goals. You know a few of the concepts and methods and how to apply them in familiar situations but your reasoning is often deficient and you make mistakes in calculations.

Satisfactory 2
You have achieved the desired goals. You know many of the concepts and methods and how to apply them in familiar situations but your reasoning is sometimes deficient or you make mistakes in calculations.

Evaluation criteria, good (3-4)

Good 3
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in familiar situations showing often the ability to reason completely and calculate flawlessly

Very good 4
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in new situations showing in most cases the ability to reason completely and calculate flawlessly.

Evaluation criteria, excellent (5)

Excellent 5
You have achieved the desired goals. You know all the concepts and methods and how to apply them in new situations showing always the ability to combine things, reason completely and calculate flawlessly.

Prerequisites

Basic use of spreadsheets

Objectives

The goal of the course
You will learn to process and analyse statistical data in order to make right decisions in working life. You will learn to calculate probabilities of different events or risks and to study statistical dependence found in the data.

Course competences
Knowledge and understanding (EUR-CE KN)

Learning outcomes
You know basic concepts and and methods of probability and statistics. You can analyze statistical data, make forecasts and study statistical relationships. You can calculate probabilities of events and evaluate risks. You know random variables, statistical distributions and the expectation value. You can use Excel in applications.

Content

Descriptive statistics
Fundamentals of probability theory
Statistical distributions
Linear regression and correlation
Using Excel in applications

Time and location

Lecture (class/stream/recording) 90min / week during weeks 3-14
Exam on week 15

Learning materials and recommended literature

Material in Moodle
Additional material:
9789526329796 Nummenmaa, L., Holopainen, M. & Pulkkinen, P. (2017) Tilastollisten menetelmien perusteet. Helsinki: Sanoma Pro

Teaching methods

Lectures and exercise sessions. Independent studying with Moodle material. Group assignments. Excel is applied with exercises.

Exam dates and retake possibilities

Exam on week 15.

Student workload

Lectures approx.15h, Exercise sessions approx 15h, Homework, group assignments and independent studying 50h

Further information for students

Exam 80-90%
Homework, group assignments 10-20%

Evaluation scale

0-5

Evaluation criteria, satisfactory (1-2)

Adequate 1
You have achieved the desired goals. You know a few of the concepts and methods and how to apply them in familiar situations but your reasoning is often deficient and you make mistakes in calculations.

Satisfactory 2
You have achieved the desired goals. You know many of the concepts and methods and how to apply them in familiar situations but your reasoning is sometimes deficient or you make mistakes in calculations.

Evaluation criteria, good (3-4)

Good 3
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in familiar situations showing often the ability to reason completely and calculate flawlessly

Very good 4
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in new situations showing in most cases the ability to reason completely and calculate flawlessly.

Evaluation criteria, excellent (5)

Excellent 5
You have achieved the desired goals. You know all the concepts and methods and how to apply them in new situations showing always the ability to combine things, reason completely and calculate flawlessly.

Prerequisites

Basic use of spreadsheets

Objectives

The goal of the course
You will learn to process and analyse statistical data in order to make right decisions in working life. You will learn to calculate probabilities of different events or risks and to study statistical dependence found in the data.

Course competences
Knowledge and understanding (EUR-CE KN)

Learning outcomes
You know basic concepts and and methods of probability and statistics. You can analyze statistical data, make forecasts and study statistical relationships. You can calculate probabilities of events and evaluate risks. You know random variables, statistical distributions and the expectation value. You can use Excel in applications.

Content

Descriptive statistics
Fundamentals of probability theory
Statistical distributions
Linear regression and correlation
Using Excel in applications

Time and location

Lextue/Exercise session 90min / week during weeks 2-14
Exam on week 15

Learning materials and recommended literature

Material in Moodle
Additional material:
Johnson, R. (2008) Miller and Freund’s Probability and Statistics for Engineers
9789526329796 Nummenmaa, L., Holopainen, M. & Pulkkinen, P. (2017) Tilastollisten menetelmien perusteet. Helsinki: Sanoma Pro

Teaching methods

Lectures and exercise sessions. Independent studying with Moodle material. Group assignments. Excel is applied with exercises.

Exam dates and retake possibilities

Exam on week 15.

Student workload

Lectures approx.15h, Exercise sessions approx 15h, Homework, group assignments and independent studying 50h

Further information for students

Exam 80-90%
Homework, group assignments 10-20%

Evaluation scale

0-5

Evaluation criteria, satisfactory (1-2)

Adequate 1
You have achieved the desired goals. You know a few of the concepts and methods and how to apply them in familiar situations but your reasoning is often deficient and you make mistakes in calculations.

Satisfactory 2
You have achieved the desired goals. You know many of the concepts and methods and how to apply them in familiar situations but your reasoning is sometimes deficient or you make mistakes in calculations.

Evaluation criteria, good (3-4)

Good 3
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in familiar situations showing often the ability to reason completely and calculate flawlessly

Very good 4
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in new situations showing in most cases the ability to reason completely and calculate flawlessly.

Evaluation criteria, excellent (5)

Excellent 5
You have achieved the desired goals. You know all the concepts and methods and how to apply them in new situations showing always the ability to combine things, reason completely and calculate flawlessly.

Prerequisites

Basic use of spreadsheets

Objectives

The goal of the course
You will learn to process and analyse statistical data in order to make right decisions in working life. You will learn to calculate probabilities of different events or risks and to study statistical dependence found in the data.

Course competences
Knowledge and understanding (EUR-CE KN)

Learning outcomes
You know basic concepts and and methods of probability and statistics. You can analyze statistical data, make forecasts and study statistical relationships. You can calculate probabilities of events and evaluate risks. You know random variables, statistical distributions and the expectation value. You can use Excel in applications.

Content

Descriptive statistics
Fundamentals of probability theory
Statistical distributions
Linear regression and correlation
Using Excel in applications

Time and location

Lecture (class/stream/recording) 90min / week during weeks 3-14
Exam on week 15

Learning materials and recommended literature

Material in Moodle
Additional material:
9789526329796 Nummenmaa, L., Holopainen, M. & Pulkkinen, P. (2017) Tilastollisten menetelmien perusteet. Helsinki: Sanoma Pro

Teaching methods

Lectures and exercise sessions. Independent studying with Moodle material. Group assignments. Excel is applied with exercises.

Exam dates and retake possibilities

Exam on week 15.

Student workload

Lectures approx.15h, Exercise sessions approx 15h, Homework, group assignments and independent studying 50h

Further information for students

Exam 80-90%
Homework, group assignments 10-20%

Evaluation scale

0-5

Evaluation criteria, satisfactory (1-2)

Adequate 1
You have achieved the desired goals. You know a few of the concepts and methods and how to apply them in familiar situations but your reasoning is often deficient and you make mistakes in calculations.

Satisfactory 2
You have achieved the desired goals. You know many of the concepts and methods and how to apply them in familiar situations but your reasoning is sometimes deficient or you make mistakes in calculations.

Evaluation criteria, good (3-4)

Good 3
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in familiar situations showing often the ability to reason completely and calculate flawlessly

Very good 4
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in new situations showing in most cases the ability to reason completely and calculate flawlessly.

Evaluation criteria, excellent (5)

Excellent 5
You have achieved the desired goals. You know all the concepts and methods and how to apply them in new situations showing always the ability to combine things, reason completely and calculate flawlessly.

Prerequisites

Basic use of spreadsheets

Objectives

The goal of the course
You will learn to process and analyse statistical data in order to make right decisions in working life. You will learn to calculate probabilities of different events or risks and to study statistical dependence found in the data.

Course competences
Knowledge and understanding (EUR-CE KN)

Learning outcomes
You know basic concepts and and methods of probability and statistics. You can analyze statistical data, make forecasts and study statistical relationships. You can calculate probabilities of events and evaluate risks. You know random variables, statistical distributions and the expectation value. You can use Excel in applications.

Content

Descriptive statistics
Fundamentals of probability theory
Statistical distributions
Linear regression and correlation
Using Excel in applications

Time and location

Kurssin materiaaleja voi käydä omaan tahtiin, ottaen kuitenkin huomioon loppukoeajankohdat. Loppukokeet pidetään loppusyksystä ja niiden ajankohdat ilmoitetaan työtilassa.

Learning materials and recommended literature

Material in Moodle
Additional material:
9789526329796 Nummenmaa, L., Holopainen, M. & Pulkkinen, P. (2017) Tilastollisten menetelmien perusteet. Helsinki: Sanoma Pro

Teaching methods

Lectures and exercise sessions. Independent studying with Moodle material.

Exam dates and retake possibilities

Loppukoeajankohdat ilmoitetaan kurssin työtilassa.

Student workload

81h

Further information for students

Exam 80-90%
Homework 10-20%

Evaluation scale

0-5

Evaluation criteria, satisfactory (1-2)

Adequate 1
You have achieved the desired goals. You know a few of the concepts and methods and how to apply them in familiar situations but your reasoning is often deficient and you make mistakes in calculations.

Satisfactory 2
You have achieved the desired goals. You know many of the concepts and methods and how to apply them in familiar situations but your reasoning is sometimes deficient or you make mistakes in calculations.

Evaluation criteria, good (3-4)

Good 3
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in familiar situations showing often the ability to reason completely and calculate flawlessly

Very good 4
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in new situations showing in most cases the ability to reason completely and calculate flawlessly.

Evaluation criteria, excellent (5)

Excellent 5
You have achieved the desired goals. You know all the concepts and methods and how to apply them in new situations showing always the ability to combine things, reason completely and calculate flawlessly.

Prerequisites

Basic use of spreadsheets

Objectives

The goal of the course
You will learn to process and analyse statistical data in order to make right decisions in working life. You will learn to calculate probabilities of different events or risks and to study statistical dependence found in the data.

Course competences
Knowledge and understanding (EUR-CE KN)

Learning outcomes
You know basic concepts and and methods of probability and statistics. You can analyze statistical data, make forecasts and study statistical relationships. You can calculate probabilities of events and evaluate risks. You know random variables, statistical distributions and the expectation value. You can use Excel in applications.

Content

Descriptive statistics
Fundamentals of probability theory
Statistical distributions
Linear regression and correlation
Using Excel in applications

Time and location

Tapaamiset monimuotoryhmän aikataulun mukaisesti syksyn aikana

Learning materials and recommended literature

Material in Moodle
Additional material:
9789526329796 Nummenmaa, L., Holopainen, M. & Pulkkinen, P. (2017) Tilastollisten menetelmien perusteet. Helsinki: Sanoma Pro

Teaching methods

Lectures and exercise sessions. Independent studying with Moodle material. Excel is applied with exercises.

Exam dates and retake possibilities

Lioppukoeajankohdat ilmoitetaan kurssin ensimmäisellä luennolla

Student workload

81h

Further information for students

Exam 80-90%
Homework 10-20%

Evaluation scale

0-5

Evaluation criteria, satisfactory (1-2)

Adequate 1
You have achieved the desired goals. You know a few of the concepts and methods and how to apply them in familiar situations but your reasoning is often deficient and you make mistakes in calculations.

Satisfactory 2
You have achieved the desired goals. You know many of the concepts and methods and how to apply them in familiar situations but your reasoning is sometimes deficient or you make mistakes in calculations.

Evaluation criteria, good (3-4)

Good 3
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in familiar situations showing often the ability to reason completely and calculate flawlessly

Very good 4
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in new situations showing in most cases the ability to reason completely and calculate flawlessly.

Evaluation criteria, excellent (5)

Excellent 5
You have achieved the desired goals. You know all the concepts and methods and how to apply them in new situations showing always the ability to combine things, reason completely and calculate flawlessly.

Prerequisites

Basic use of spreadsheets

Objectives

The goal of the course
You will learn to process and analyse statistical data in order to make right decisions in working life. You will learn to calculate probabilities of different events or risks and to study statistical dependence found in the data.

Course competences
Knowledge and understanding (EUR-CE KN)

Learning outcomes
You know basic concepts and and methods of probability and statistics. You can analyze statistical data, make forecasts and study statistical relationships. You can calculate probabilities of events and evaluate risks. You know random variables, statistical distributions and the expectation value. You can use Excel in applications.

Content

Descriptive statistics
Fundamentals of probability theory
Statistical distributions
Linear regression and correlation
Using Excel in applications

Time and location

Tapaamiset monimuotoryhmän aikataulun mukaisesti syksyn aikana

Learning materials and recommended literature

Material in Moodle
Additional material:
9789526329796 Nummenmaa, L., Holopainen, M. & Pulkkinen, P. (2017) Tilastollisten menetelmien perusteet. Helsinki: Sanoma Pro

Teaching methods

Lectures and exercise sessions. Independent studying with Moodle material. Excel is applied with exercises.

Exam dates and retake possibilities

Loppukoeajankohdat ilmoitetaan kurssin ensimmäisellä luennolla

Student workload

81h

Further information for students

Exam 80-90%
Homework 10-20%

Evaluation scale

0-5

Evaluation criteria, satisfactory (1-2)

Adequate 1
You have achieved the desired goals. You know a few of the concepts and methods and how to apply them in familiar situations but your reasoning is often deficient and you make mistakes in calculations.

Satisfactory 2
You have achieved the desired goals. You know many of the concepts and methods and how to apply them in familiar situations but your reasoning is sometimes deficient or you make mistakes in calculations.

Evaluation criteria, good (3-4)

Good 3
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in familiar situations showing often the ability to reason completely and calculate flawlessly

Very good 4
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in new situations showing in most cases the ability to reason completely and calculate flawlessly.

Evaluation criteria, excellent (5)

Excellent 5
You have achieved the desired goals. You know all the concepts and methods and how to apply them in new situations showing always the ability to combine things, reason completely and calculate flawlessly.

Prerequisites

Basic use of spreadsheets

Objectives

The goal of the course
You will learn to process and analyse statistical data in order to make right decisions in working life. You will learn to calculate probabilities of different events or risks and to study statistical dependence found in the data.

Course competences
Knowledge and understanding (EUR-CE KN)

Learning outcomes
You know basic concepts and and methods of probability and statistics. You can analyze statistical data, make forecasts and study statistical relationships. You can calculate probabilities of events and evaluate risks. You know random variables, statistical distributions and the expectation value. You can use Excel in applications.

Content

Descriptive statistics
Fundamentals of probability theory
Statistical distributions
Linear regression and correlation
Using Excel in applications

Time and location

Lextue/Exercise session 2* 1,5h / week during weeks 10-15
Exam on week 16

Learning materials and recommended literature

Material in Moodle
Additional material:
9789526329796 Nummenmaa, L., Holopainen, M. & Pulkkinen, P. (2017) Tilastollisten menetelmien perusteet. Helsinki: Sanoma Pro

Teaching methods

Lectures and exercise sessions. Independent studying with Moodle material. Group assignments. Excel is applied with exercises.

Exam dates and retake possibilities

Exam on week 16. Resits in Exam studio during May.

Student workload

Lectures approx.15h, Exercise sessions approx 15h, Homework, group assignments and independent studying 50h

Further information for students

Exam 80-90%
Homework, group assignments 10-20%

Evaluation scale

0-5

Evaluation criteria, satisfactory (1-2)

Adequate 1
You have achieved the desired goals. You know a few of the concepts and methods and how to apply them in familiar situations but your reasoning is often deficient and you make mistakes in calculations.

Satisfactory 2
You have achieved the desired goals. You know many of the concepts and methods and how to apply them in familiar situations but your reasoning is sometimes deficient or you make mistakes in calculations.

Evaluation criteria, good (3-4)

Good 3
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in familiar situations showing often the ability to reason completely and calculate flawlessly

Very good 4
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in new situations showing in most cases the ability to reason completely and calculate flawlessly.

Evaluation criteria, excellent (5)

Excellent 5
You have achieved the desired goals. You know all the concepts and methods and how to apply them in new situations showing always the ability to combine things, reason completely and calculate flawlessly.

Prerequisites

Basic use of spreadsheets

Objectives

The goal of the course
You will learn to process and analyse statistical data in order to make right decisions in working life. You will learn to calculate probabilities of different events or risks and to study statistical dependence found in the data.

Course competences
Knowledge and understanding (EUR-CE KN)

Learning outcomes
You know basic concepts and and methods of probability and statistics. You can analyze statistical data, make forecasts and study statistical relationships. You can calculate probabilities of events and evaluate risks. You know random variables, statistical distributions and the expectation value. You can use Excel in applications.

Content

Descriptive statistics
Fundamentals of probability theory
Statistical distributions
Linear regression and correlation
Using Excel in applications

Time and location

Lextue/Exercise session 2* 1,5h / week during weeks 10-15
Exam on week 16

Learning materials and recommended literature

Material in Moodle
Additional material:
Johnson, R. (2008) Miller and Freund’s Probability and Statistics for Engineers
9789526329796 Nummenmaa, L., Holopainen, M. & Pulkkinen, P. (2017) Tilastollisten menetelmien perusteet. Helsinki: Sanoma Pro

Teaching methods

Lectures and exercise sessions. Independent studying with Moodle material. Group assignments. Excel is applied with exercises.

Exam dates and retake possibilities

Exam on week 16. Resits in Exam studio during May.

Student workload

Lectures approx.15h, Exercise sessions approx 15h, Homework, group assignments and independent studying 50h

Further information for students

Exam 80-90%
Homework, group assignments 10-20%

Evaluation scale

0-5

Evaluation criteria, satisfactory (1-2)

Adequate 1
You have achieved the desired goals. You know a few of the concepts and methods and how to apply them in familiar situations but your reasoning is often deficient and you make mistakes in calculations.

Satisfactory 2
You have achieved the desired goals. You know many of the concepts and methods and how to apply them in familiar situations but your reasoning is sometimes deficient or you make mistakes in calculations.

Evaluation criteria, good (3-4)

Good 3
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in familiar situations showing often the ability to reason completely and calculate flawlessly

Very good 4
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in new situations showing in most cases the ability to reason completely and calculate flawlessly.

Evaluation criteria, excellent (5)

Excellent 5
You have achieved the desired goals. You know all the concepts and methods and how to apply them in new situations showing always the ability to combine things, reason completely and calculate flawlessly.

Prerequisites

Basic use of spreadsheets

Objectives

The goal of the course
You will learn to process and analyse statistical data in order to make right decisions in working life. You will learn to calculate probabilities of different events or risks and to study statistical dependence found in the data.

Course competences
Knowledge and understanding (EUR-CE KN)

Learning outcomes
You know basic concepts and and methods of probability and statistics. You can analyze statistical data, make forecasts and study statistical relationships. You can calculate probabilities of events and evaluate risks. You know random variables, statistical distributions and the expectation value. You can use Excel in applications.

Content

Descriptive statistics
Fundamentals of probability theory
Statistical distributions
Linear regression and correlation
Using Excel in applications

Time and location

Lecture (class/stream/recording) 1-1,5 h / week during weeks 10-15
Exercise session 1,5h / week during weeks 10-15
Exam on week 16

Learning materials and recommended literature

Material in Moodle
Additional material:
9789526329796 Nummenmaa, L., Holopainen, M. & Pulkkinen, P. (2017) Tilastollisten menetelmien perusteet. Helsinki: Sanoma Pro

Teaching methods

Lectures and exercise sessions. Independent studying with Moodle material. Group assignments. Excel is applied with exercises.

Exam dates and retake possibilities

Exam on week 16. Resits in Exam studio during May.

Student workload

Lectures approx.15h, Exercise sessions approx 15h, Homework, group assignments and independent studying 50h

Further information for students

Exam 80-90%
Homework, group assignments 10-20%

Evaluation scale

0-5

Evaluation criteria, satisfactory (1-2)

Adequate 1
You have achieved the desired goals. You know a few of the concepts and methods and how to apply them in familiar situations but your reasoning is often deficient and you make mistakes in calculations.

Satisfactory 2
You have achieved the desired goals. You know many of the concepts and methods and how to apply them in familiar situations but your reasoning is sometimes deficient or you make mistakes in calculations.

Evaluation criteria, good (3-4)

Good 3
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in familiar situations showing often the ability to reason completely and calculate flawlessly

Very good 4
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in new situations showing in most cases the ability to reason completely and calculate flawlessly.

Evaluation criteria, excellent (5)

Excellent 5
You have achieved the desired goals. You know all the concepts and methods and how to apply them in new situations showing always the ability to combine things, reason completely and calculate flawlessly.

Prerequisites

Basic use of spreadsheets