Calculus (5 cr)
Code: TE00CE14-3002
General information
Enrollment
30.11.2022 - 18.01.2023
Timing
09.01.2023 - 30.04.2023
Number of ECTS credits allocated
5 op
Mode of delivery
Contact teaching
Unit
Engineering and Business
Campus
Kupittaa Campus
Teaching languages
- English
Seats
40 - 70
Degree programmes
- Degree Programme in Information and Communications Technology
Teachers
- Hazem Al-Bermanei
Groups
-
PINFOS22CPINFOS22C
-
PINFOS22BPINFOS22B
Objective
After completing the course the student can
- use derivatives to analyze functions
- use differentials to approximate changes and errors
- use integrals to calculate e.g. areas and volumes, mean values and square mean values
- solve integrable and 1. order separable differential equations
- use relevant mathematical denotation correctly
Content
- Limits
- The derivative
- Differentials
- Antiderivatives and the definite integral
- Applications of differentiation and integration
- On differential equations
Materials
1. Calculus (3rd edition), Fred Safier, SCHAUM’S outlines.
2. Engineering Mathematics (6th edition), K.A. Stroud [MACMILLAN PRESS LTD]
3. Formula book: Technical formulas
Teaching methods
Teacher-directed classroom activities, group work and independent work; project work, reports, task-based (homework
International connections
The contents of the course give understanding to use the derivatives to analyze functions, use differentials to approximate changes and errors, solve separable and linear first order differential equations, use integrals to calculate e.g. areas and mean values and square mean values of functions
and use relevant mathematical denotation correctly, moreover the students can use relevant mathematical denotation correctly.
The students will team up for a project work and writing reports on some current and relevant aspect of math, which gives everyone an opportunity to understand the topic; all students will develop their mathematical proficiency.
Task-based assessment supports learning and is continuous throughout the course. Studying in an international group develops students’ ability to intercultural communication and multicultural collaboration.
Student workload
Classroom activities: Classroom activities participation: 50 h
Homework: Working on homework sets 1-6: 30 h
Project work: Research, presentation material, presentation: 20h
Final exam: Preparing for the final exam : 25 h
Content scheduling
• Limits
• The derivative
• Differentials
• Antiderivatives and the definite integral
• Applications of differentiation and integration
• On differential equations
Further information
All practical information on timetables, project work, grading etc., as well as links to web materials are provided in Optim
Evaluation scale
H-5
Assessment methods and criteria
Homework sets 1-6: 30 %: Total of thirty homework exercises based on reading material and classroom notes: diagnostic/formative self / teacher evaluation
in connection with each homework set return session.
Project work, reports, presentations: 40 % : Each outcome of the project work is assessed independently (assessment criteria is specified in Optima): peer feedback summative teacher feedback at the end of the course.
Final exam: 30 %: A written exam (1,5 hrs) on specified material: Summative teacher evaluation at the end of the course
Assessment criteria, fail (0)
Fail in the final exam and not doing the assignments.
Assessment criteria, satisfactory (1-2)
Collect (50--60) points in the exam and doing 50% of the assignments.
Assessment criteria, good (3-4)
Collect (70--80) points in the exam and doing at least 75% of the assignments
Assessment criteria, excellent (5)
Collect (90--100) points in the exam and doing at least 90% of the assignments
Qualifications
Precalculus course or equivalent skills