Mathematics 1

Structure Type: Course
Code: KC03MAT107
Type: Compulsory
Level: Bachelor
Credits: 5.0 points
Responsible Teacher: Lassila, Hannu
Teacher Team: Kokkonen, Heikki
Language of Instruction: Finnish

Course Implementations, Planned Year of Study and Semester

Curriculum  Semester  Credits  Start of Semester  End of Semester
BIOEL-2016   1 autumn   5.0   2016-08-01   2016-12-31  

Learning Outcomes

Common part (5 ects):
The purpose of the course is to advance students' mathematical skills.

Professional part (5 ects):
Upon completion of the course, students will be able to define the derivative and integral for one-variable functions. They will be competent in derivating and integrating the more common mathematical functions and calculating definite integrals and applying their knowledge to common applications. Students will also be capable of calculation tools to solve problems in one-variable differential and integral calculus and be able to solve simple differential equations. They will also apply this knowledge in their Professional Studies and working world.

Student's Workload

Total work load of the course: 270 h
- of which scheduled studies: 120 h
- of which autonomous studies: 150 h

Prerequisites / Recommended Optional Courses

No previous studies are required

Contents

Common part (5 ects):
- Basic calculations
- Fractions
- Powerand roots
- Equations
- Percentages
- Trigonometric functions
- Area and volume of plane figures
- Functions
- Financial calculations

Professional part (5 ects):
- Definition of one-variable derivative and integral
- Polynomials: derivation and integration
- Composite functions: derivation and integration
- Tangent of a curve
- Extreme values
- Definite integral
- Area and volume
- Small differentials
- Concept of a differential equation
- separate differential equation
- first and second order linear differential equation
- Applications in engineering

Recommended or Required Reading

Material distributed by the lecturer

Mode of Delivery / Planned Learning Activities and Teaching Methods

- Lectures and assignments
- Approved midterm exams

- Contact teaching: 45 %.

Students may also complete the course by taking a test given at the beginning of the course. Fifty per cent of the test must be passed to receive full credit for the course.

Assessment Criteria

Common part (5 ects)
Level 1: The student knows basic skills of matematics, percentage calculations and to calculate the asked part volumes or areas from the geometry investing in given diagrams.
Level 3: The student can adapt given diagrams.
Level 5: The student can solve problems using mathematical skills

Professional part (5 ects)
excellent (5): student understands and is able to apply the methods of calculus excellently
good (3-4): student understands and is able to apply the methods of calculus well
satisfactory (1-2): students understands the basics of calculus

Assessment Methods

Written examination (midterm examinations )

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