Integral CalculusLaajuus (3 cr)
Code: 5N00EK28
Credits
3 op
Objectives
After completing this course student is able to understand basic terminology of integral calculus, determine integral graphically, numerically and symbolically, calculate areas using definite integral, solve basic differential equations and use differential equations for modeling physical phenomena.
Content
Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.
Prerequisites
Orientation for Engineering Mathematics and Functions and Matrices or similar skills.
Assessment criteria, satisfactory (1-2)
Student understands the basic concepts of integral calculus and is able to solve simple applications that are similar to the model problems solved during the course.
Assessment criteria, good (3-4)
In addition, student is able to apply the methods of integral calculus in various problems and is able to explain the methods of her/his solutions.
Assessment criteria, excellent (5)
In addition, student has an overall understanding of using integral calculus to solve various applications and the ability to present and justify the chosen methods of solution.
Enrolment period
17.01.2024 - 13.03.2024
Timing
04.03.2024 - 28.04.2024
Credits
3 op
Mode of delivery
Contact teaching
Unit
Mathematics
Campus
TAMK Main Campus
Teaching languages
- English
Degree programmes
- Bachelor's Degree Programme in Environmental Engineering
- Open University of Applied Sciences
Teachers
- Jukka Suominen
Person in charge
Jukka Suominen
Groups
-
23IENVE
Objectives (course unit)
After completing this course student is able to understand basic terminology of integral calculus, determine integral graphically, numerically and symbolically, calculate areas using definite integral, solve basic differential equations and use differential equations for modeling physical phenomena.
Content (course unit)
Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.
Prerequisites (course unit)
Orientation for Engineering Mathematics and Functions and Matrices or similar skills.
Assessment criteria, satisfactory (1-2) (course unit)
Student understands the basic concepts of integral calculus and is able to solve simple applications that are similar to the model problems solved during the course.
Assessment criteria, good (3-4) (course unit)
In addition, student is able to apply the methods of integral calculus in various problems and is able to explain the methods of her/his solutions.
Assessment criteria, excellent (5) (course unit)
In addition, student has an overall understanding of using integral calculus to solve various applications and the ability to present and justify the chosen methods of solution.
Location and time
Dates and times are shown in TuniMoodle.
Exam schedules
The exam will be held on Tuesday, 16th of April at 11.15-14.00 in the auditorium D1-04.
Two resit exams: the first one on Wednesday, 15th of May at 17.00-20.00 in the classroom B4-18 & B4-27 and the second one on Wednesday, 5th of June at 17.00-20.00 in the classroom B4-18 & B4-27.
Assessment methods and criteria
The final grade is based on the exam and the homework. A homework package is given weekly (appr. 7 packages). One point is given for every submitted homework package in Moodle. Homework packages are not accepted by email. The maximum points for the test is appr. 43 points. The homework and the exam together give the maximum of 50 points. The grade is based on the following table
12,5 points -> grade 1
20 points -> grade 2
27,5 points -> grade 3
35 points -> grade 4
42,5 points -> grade 5
Assessment scale
0-5
Teaching methods
Lessons, exercises, self-study, videos, exercises, homework, exam.
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 work 27 hours / credit unit.
Content scheduling
Topics are shown in TuniMoodle.
Further information
A student is expected to have a calculator and a formula book.
Enrolment period
19.02.2023 - 05.03.2023
Timing
06.03.2023 - 31.07.2023
Credits
3 op
Mode of delivery
Contact teaching
Unit
Mathematics
Campus
TAMK Main Campus
Teaching languages
- English
Degree programmes
- Bachelor's Degree Programme in Environmental Engineering
- Open University of Applied Sciences
Teachers
- Jukka Suominen
Person in charge
Jukka Suominen
Groups
-
22IENVEDegree Programme in Environmental Engineering
Objectives (course unit)
After completing this course student is able to understand basic terminology of integral calculus, determine integral graphically, numerically and symbolically, calculate areas using definite integral, solve basic differential equations and use differential equations for modeling physical phenomena.
Content (course unit)
Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.
Prerequisites (course unit)
Orientation for Engineering Mathematics and Functions and Matrices or similar skills.
Assessment criteria, satisfactory (1-2) (course unit)
Student understands the basic concepts of integral calculus and is able to solve simple applications that are similar to the model problems solved during the course.
Assessment criteria, good (3-4) (course unit)
In addition, student is able to apply the methods of integral calculus in various problems and is able to explain the methods of her/his solutions.
Assessment criteria, excellent (5) (course unit)
In addition, student has an overall understanding of using integral calculus to solve various applications and the ability to present and justify the chosen methods of solution.
Location and time
Dates and times are shown in TuniMoodle.
Exam schedules
The exam will be held on Monday, 24th of April at 15.00-18.00.
Two resit exams, the first one on Friday 5th of May at 11.00-14.00 in Juhlasali D1-04, the second one on Thursday 11th of May at 17.00-20.00 in Juhlasali D1-04.
Assessment methods and criteria
The final grade is based on the exam and the homework. A homework package is given weekly (appr. 7 packages). One point is given for every submitted homework package in Moodle. Homework packages are not accepted by email. The maximum points for the test is appr. 43 points. The homework and the exam together give the maximum of 50 points. The grade is based on the following table
12,5 points -> grade 1
20 points -> grade 2
27,5 points -> grade 3
35 points -> grade 4
42,5 points -> grade 5
Assessment scale
0-5
Teaching methods
Lessons, exercises, self-study, videos, exercises, homework, exam.
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 work 27 hours / credit unit.
Content scheduling
Topics are shown in TuniMoodle.
Further information
A student is expected to have a calculator and a formula book.
Enrolment period
05.02.2022 - 06.03.2022
Timing
07.03.2022 - 29.04.2022
Credits
3 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 Environmental Engineering
- Open University of Applied Sciences
Teachers
- Jukka Suominen
Person in charge
Jukka Suominen
Groups
-
21IENVEDegree Programme in Environmental Engineering
Objectives (course unit)
After completing this course student is able to understand basic terminology of integral calculus, determine integral graphically, numerically and symbolically, calculate areas using definite integral, solve basic differential equations and use differential equations for modeling physical phenomena.
Content (course unit)
Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.
Prerequisites (course unit)
Orientation for Engineering Mathematics and Functions and Matrices or similar skills.
Assessment criteria, satisfactory (1-2) (course unit)
Student understands the basic concepts of integral calculus and is able to solve simple applications that are similar to the model problems solved during the course.
Assessment criteria, good (3-4) (course unit)
In addition, student is able to apply the methods of integral calculus in various problems and is able to explain the methods of her/his solutions.
Assessment criteria, excellent (5) (course unit)
In addition, student has an overall understanding of using integral calculus to solve various applications and the ability to present and justify the chosen methods of solution.
Location and time
Dates and times are shown in TuniMoodle.
Exam schedules
The exam will be held on Friday, 22nd of April at 12.15-15.00.
Two resit exams, the first one on Wednesday 11th of May at 17.00-20.00, the second one on Wednesday 25th of May 2022 at 17.00-20.00.
Assessment methods and criteria
The final grade is based on the exam and the homework. A homework package is given weekly (appr. 7 packages). One point is given for every submitted homework package in Moodle. Homework packages are not accepted by email. The maximum points for the test is appr. 43 points. The homework and the exam together give the maximum of 50 points. The grade is based on the following table
12,5 points -> grade 1
20 points -> grade 2
27,5 points -> grade 3
35 points -> grade 4
42,5 points -> grade 5
Assessment scale
0-5
Teaching methods
Lessons, exercises, self-study, videos, exercises, homework, exam.
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 work 27 hours / credit unit.
Content scheduling
Topics are shown in TuniMoodle.
Further information
A student is expected to have a calculator and a formula book.