Mathematics 2Laajuus (5 cr)
Code: 5N00DL84
Credits
5 op
Objectives
Student is able to:
- understand the concept of a function and recognizes the characteristic properties of different basic functions
- solve equations and recognize graphs involving basic functions and apply them in practical problems
- apply the concepts of derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
Content
- Basic functions, terminology, graphs and equations (Polynomial, exponential, logarithmic)
- Derivative
- Graphical, numerical and symbolic differentiation
- Applications of derivative
- Error estimation with differential
- Integral function
- Definite integral
- Graphical, numerical and symbolic integration
- Calculation of areas and volumes with integral
Assessment criteria, satisfactory (1-2)
Understanding of basic concepts related to course topics. Capability to calculate exercises that are similar to discussed examples. Can interpret derivative as rate of change. Can determine derivatives and integrals using graphical and symbolical methods. Can calculate basic areas and volumes with integrals.
Assessment criteria, good (3-4)
In addition, understanding of advanced and most concepts related to course topics. Ability to apply them in basic technical problems.
Assessment criteria, excellent (5)
In addition, ability to apply course topics in advanced problems.
Enrolment period
15.12.2022 - 08.01.2023
Timing
01.01.2023 - 07.05.2023
Credits
5 op
Mode of delivery
Contact teaching
Unit
TAMK Mathematics and Physics
Campus
TAMK Main Campus
Teaching languages
- English
Degree programmes
- Bachelor's Degree Programme in Software Engineering
Teachers
- Miika Huikkola
Person in charge
Miika Huikkola
Groups
-
22I260EA
-
22I260EBDegree Programme in Software Engineering
-
22TEMA
Objectives (course unit)
Student is able to:
- understand the concept of a function and recognizes the characteristic properties of different basic functions
- solve equations and recognize graphs involving basic functions and apply them in practical problems
- apply the concepts of derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
Content (course unit)
- Basic functions, terminology, graphs and equations (Polynomial, exponential, logarithmic)
- Derivative
- Graphical, numerical and symbolic differentiation
- Applications of derivative
- Error estimation with differential
- Integral function
- Definite integral
- Graphical, numerical and symbolic integration
- Calculation of areas and volumes with integral
Assessment criteria, satisfactory (1-2) (course unit)
Understanding of basic concepts related to course topics. Capability to calculate exercises that are similar to discussed examples. Can interpret derivative as rate of change. Can determine derivatives and integrals using graphical and symbolical methods. Can calculate basic areas and volumes with integrals.
Assessment criteria, good (3-4) (course unit)
In addition, understanding of advanced and most concepts related to course topics. Ability to apply them in basic technical problems.
Assessment criteria, excellent (5) (course unit)
In addition, ability to apply course topics in advanced problems.
Location and time
Dates and times are shown in TuniMoodle.
First lessons on Jan 19th at 11 o'clock
Exam schedules
There will be three exams to be held during the course, i.e., between timeline 19.1.- 30.4.
The initial schedules of the exams will be negotiated with students during the first lessons.
Changes to exam arrangements are possible depending e.g. on the course progress and other teacher's work duties.
Assessment methods and criteria
The final grade of the course will be based on the score from course activity, returned assignments and exam scores.
The maximum score from the returned assignments (all given assignments done with good quality) and course activity (all given lessons actively participated) is 20 .
From each exam, the maximum score is 20.
The total score is calculated from the sum of assigment/activity score and exam scores. In a case where some parts of separate exams cover the same course topics, only the best score from given topic is considered when calculating the total score.
Tthe grading baseline is as follows:
Score / grade
Under 10 points is considered as no participation on the course --> no grade
10-15 points --> grade 0
16 points -> grade 1
21 points -> grade 2
26 points -> grade 3
31 points -> grade 4
36 points -> grade 5
Teacher has a right to revise the score based grade by 1 based on teacher's observations of student's attitude and skills on lessons.
Assessment scale
0-5
Teaching methods
Applying the following teaching methods by teacher's judgement: Contact teaching, Independent learning, Lesson excercises, Videos, Homework, Remote teaching (not recorded), Problem-based learning, Collaborative learning, Group work, Exercise assignments, Question-based teaching, Question-based learning, PC-excercises, Exam
A student solves exercises and saves them in TuniMoodle by given deadlines.
Matlab is used as a technical computation software during the course. Calculators can also be used.
Learning materials
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 a local library.
Student workload
Contact or remote teaching approx. 45 hours
Independent studying approx. 85 hours
Exam(s) approx. 5 hours
Content scheduling
The course is built around the following main themes:
-Basic functions, terminology, graphs and equations (10%)
-Concept of derivative and its applications (15%)
-Graphical, numerical and symbolic differentiation (20%)
-Concept of differential and its use in error estimation (10%)
- Integral function, Definite integral, fundamental theorem of calculus (15%)
- Graphical, numerical and symbolic integration (20%)
- Calculation of areas and volumes with integral (10%)
The percentages describe the estimated time used in these themes.
Detailed topics are shown in TuniMoodle.
Completion alternatives
To be negotiated with teacher. Teacher is not obligated to grant an alternative way of exectution to a student.
Enrolment period
15.11.2021 - 16.01.2022
Timing
03.01.2022 - 01.05.2022
Credits
5 op
Mode of delivery
Contact teaching
Campus
TAMK Main Campus
Teaching languages
- English
Degree programmes
- Bachelor's Degree Programme in Software Engineering
Teachers
- Miika Huikkola
Person in charge
Miika Huikkola
Groups
-
21I260EA
Objectives (course unit)
Student is able to:
- understand the concept of a function and recognizes the characteristic properties of different basic functions
- solve equations and recognize graphs involving basic functions and apply them in practical problems
- apply the concepts of derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
Content (course unit)
- Basic functions, terminology, graphs and equations (Polynomial, exponential, logarithmic)
- Derivative
- Graphical, numerical and symbolic differentiation
- Applications of derivative
- Error estimation with differential
- Integral function
- Definite integral
- Graphical, numerical and symbolic integration
- Calculation of areas and volumes with integral
Assessment criteria, satisfactory (1-2) (course unit)
Understanding of basic concepts related to course topics. Capability to calculate exercises that are similar to discussed examples. Can interpret derivative as rate of change. Can determine derivatives and integrals using graphical and symbolical methods. Can calculate basic areas and volumes with integrals.
Assessment criteria, good (3-4) (course unit)
In addition, understanding of advanced and most concepts related to course topics. Ability to apply them in basic technical problems.
Assessment criteria, excellent (5) (course unit)
In addition, ability to apply course topics in advanced problems.
Location and time
Dates and times are shown in TuniMoodle.
Exam schedules
There are two partial exams (part 1, Differential Calculus and part 2, Integral Calculus). The schedule of the first partial exam will be announced in course Moodle pages. The second partial exam and final exam are to be held tentatively on April 27th. Changes to exam arrangements are possible depending e.g. on the course progress and other teacher's professional duties.
The two retake exams are for full final exams and are held on
1. May 18th 2022 (Only for those who have received grade 0)
2. June 8th 2022
Assessment methods and criteria
The final grade is based on the both partial exams or final exam and the grading baseline is as follows:
Score / grade
40 % -> grade 1
52,5 % -> grade 2
65 % -> grade 3
77,5 % -> grade 4
90 % -> grade 5
Teacher has a right to upgrade a grade based on the course activity (including homework). The baseline for homework bonus is as follows:
Homework percentage / Score effect
30% -> +1 point
50% -> +2 points
70% --> +3 points
90% --> +4 points
All the grades (including grade 0) require active participation (over 70% participation on lessons and regularly done homework) on the course. Grade 0 gives a right to participate in the re-sit exams. Grades 1-4 give right to participate in the second re-sit exam. The homework bonus points apply only in the partial exams and/or in the first final exam.
Assessment scale
0-5
Teaching methods
Applying the following teaching methods by teacher's judgement: Contact teaching, Independent learning, Lesson excercises, Videos, Homework, Remote teaching (not recorded), Problem-based learning, Collaborative learning, Group work, Exercise assignments, Question-based teaching, Question-based learning, PC-excercises, Exam
A student solves exercises and saves them in TuniMoodle by given dead-lines.
Matlab is used as a technical computation software during the course. Calculators can also be used.
Learning materials
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 a local library.
Student workload
Contact or remote teaching approx. 45 hours
Independent studying approx. 85 hours
Exam(s) approx. 5 hours
Content scheduling
The course is built around the following main themes:
-Basic functions, terminology, graphs and equations (10%)
-Concept of derivative and its applications (15%)
-Graphical, numerical and symbolic differentiation (20%)
-Concept of differential and its use in error estimation (10%)
- Integral function, Definite integral, fundamental theorem of calculus (15%)
- Graphical, numerical and symbolic integration (20%)
- Calculation of areas and volumes with integral (10%)
The percentages describe the estimated time used in these themes.
Detailed topics are shown in TuniMoodle.
Completion alternatives
No alternative ways of execution
Enrolment period
15.11.2021 - 16.01.2022
Timing
03.01.2022 - 01.05.2022
Credits
5 op
Mode of delivery
Contact teaching
Campus
TAMK Main Campus
Teaching languages
- English
Degree programmes
- Bachelor's Degree Programme in Software Engineering
Teachers
- Miika Huikkola
Person in charge
Miika Huikkola
Groups
-
21I260EB
Objectives (course unit)
Student is able to:
- understand the concept of a function and recognizes the characteristic properties of different basic functions
- solve equations and recognize graphs involving basic functions and apply them in practical problems
- apply the concepts of derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral
Content (course unit)
- Basic functions, terminology, graphs and equations (Polynomial, exponential, logarithmic)
- Derivative
- Graphical, numerical and symbolic differentiation
- Applications of derivative
- Error estimation with differential
- Integral function
- Definite integral
- Graphical, numerical and symbolic integration
- Calculation of areas and volumes with integral
Assessment criteria, satisfactory (1-2) (course unit)
Understanding of basic concepts related to course topics. Capability to calculate exercises that are similar to discussed examples. Can interpret derivative as rate of change. Can determine derivatives and integrals using graphical and symbolical methods. Can calculate basic areas and volumes with integrals.
Assessment criteria, good (3-4) (course unit)
In addition, understanding of advanced and most concepts related to course topics. Ability to apply them in basic technical problems.
Assessment criteria, excellent (5) (course unit)
In addition, ability to apply course topics in advanced problems.
Location and time
Dates and times are shown in TuniMoodle.
Exam schedules
There are two partial exams (part 1, Differential Calculus and part 2, Integral Calculus). The schedule of the first partial exam will be announced in course Moodle pages. The second partial exam and final exam are to be held tentatively on April 21st. Changes to exam arrangements are possible depending e.g. on the course progress and other teacher's work duties.
The two retake exams are for full final exams and are held on
1. May 18th 2022 (Only for those who have received grade 0)
2. June 8th 2022
Assessment methods and criteria
The final grade is based on the both partial exams or final exam and the grading baseline is as follows:
Score / grade
40 % -> grade 1
52,5 % -> grade 2
65 % -> grade 3
77,5 % -> grade 4
90 % -> grade 5
Teacher has a right to upgrade a grade based on the course activity (including homework). The baseline for homework bonus is as follows:
Homework percentage / Score effect
30% -> +1 point
50% -> +2 points
70% --> +3 points
90% --> +4 points
All the grades (including grade 0) require active participation (over 70% participation on lessons, doing lesson assignments given by the teacher and regularly done homework) on the course. Grade 0 gives a right to participate in the re-sit exams. Grades 1-4 give right to participate in the second re-sit exam. The homework bonus points apply only in the partial exams and/or in the first final exam.
Assessment scale
0-5
Teaching methods
Applying the following teaching methods by teacher's judgement: Contact teaching, Independent learning, Lesson excercises, Videos, Homework, Remote teaching (not recorded), Problem-based learning, Collaborative learning, Group work, Exercise assignments, Question-based teaching, Question-based learning, PC-excercises, Exam
A student solves exercises and saves them in TuniMoodle by given dead-lines.
Matlab is used as a technical computation software during the course. Calculators can also be used.
Learning materials
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 a local library.
Student workload
Contact or remote teaching approx. 45 hours
Independent studying approx. 85 hours
Exam(s) approx. 5 hours
Content scheduling
The course is built around the following main themes:
-Basic functions, terminology, graphs and equations (10%)
-Concept of derivative and its applications (15%)
-Graphical, numerical and symbolic differentiation (20%)
-Concept of differential and its use in error estimation (10%)
- Integral function, Definite integral, fundamental theorem of calculus (15%)
- Graphical, numerical and symbolic integration (20%)
- Calculation of areas and volumes with integral (10%)
The percentages describe the estimated time used in these themes.
Detailed topics are shown in TuniMoodle.
Completion alternatives
No alternative ways of execution