Differential CalculusLaajuus (3 cr)
Code: 5N00EK27
Credits
3 op
Objectives
After completing this course student is able to apply the concepts of limit and derivative when solving practical problems, interpret derivative as rate of change, determine the derivative using graphical, numerical and symbolical methods, and construct error estimates using the differential method.
Content
Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.
Prerequisites
Orientation for Engineering Mathematics and Functions and Matrices or similar skills.
Assessment criteria, satisfactory (1-2)
Student understands the basic concepts of differential 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 differential 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 differential calculus to solve applications and the ability to present and justify the chosen methods of solution.
Enrolment period
22.11.2023 - 05.01.2024
Timing
01.01.2024 - 03.03.2024
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 apply the concepts of limit and derivative when solving practical problems, interpret derivative as rate of change, determine the derivative using graphical, numerical and symbolical methods, and construct error estimates using the differential method.
Content (course unit)
Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.
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 differential 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 differential 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 differential calculus to solve 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 Thursday, 7th of March at 14.15-17.00 in the auditorium D1-04.
Two resit exams: the first one on Thursday, 21st of March at 14.15-17.00 in the classroom B2-25 and the second one on Thursday, 11th of April at 14.00-17.00 in the classroom B2-25.
Assessment methods and criteria
The final grade is based on the exam and the homework. A homework package is given weekly (approximately 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 43 points. The homework and the test 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
Contact lessons, exercises, self-study, videos, homework, exam.
A student solves exercises and saves them in TuniMoodle by given dead-lines.
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 student 27 hours / credit unit (81 hours / 3 credit units).
Content scheduling
Topics are shown in TuniMoodle.
Enrolment period
02.12.2022 - 08.01.2023
Timing
09.01.2023 - 05.03.2023
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 apply the concepts of limit and derivative when solving practical problems, interpret derivative as rate of change, determine the derivative using graphical, numerical and symbolical methods, and construct error estimates using the differential method.
Content (course unit)
Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.
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 differential 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 differential 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 differential calculus to solve 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 Wednesday, 22nd of February at 11.15-14.00 in the classroom B4-18.
Two resit exams: the first one on Monday, 13th of March 2023 at 08.15-11.00 in the classroom B2-37 and the second one on Tuesday, 4th of April 2023 at 11.15-14.00 in the classroom B4-18.
Assessment methods and criteria
The final grade is based on the exam and the homework. A homework package is given weekly (approximately 8 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 42 points. The homework and the test 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
Contact lessons, exercises, self-study, videos, homework, exam.
A student solves exercises and saves them in TuniMoodle by given dead-lines.
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 student 27 hours / credit unit (81 hours / 3 credit units).
Content scheduling
Topics are shown in TuniMoodle.
Enrolment period
02.12.2021 - 09.01.2022
Timing
10.01.2022 - 27.02.2022
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 apply the concepts of limit and derivative when solving practical problems, interpret derivative as rate of change, determine the derivative using graphical, numerical and symbolical methods, and construct error estimates using the differential method.
Content (course unit)
Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.
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 differential 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 differential 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 differential calculus to solve 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, 7th of March at 14.15-17.00 at TAMK.
Two re-sit exams, the first one on Monday, 28th of March 2022 and the second one on Thursday, 14th of April 2022.
Assessment methods and criteria
The final grade is based on the exam and the homework. A homework package is given weekly (approximately 8 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 42 points. The homework and the test 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
Distance lessons, exercises, self-study, videos, homework, exam.
A student solves exercises and saves them in TuniMoodle by given dead-lines.
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 student 27 hours / credit unit (81 hours / 3 credit units).
Content scheduling
Topics are shown in TuniMoodle.