Study Guide

Objective

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. They will also apply this knowledge in their Professional Studies and working world.

Content

- 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
- Applications in engineering (deflection of beam, shear and moment, moment of inertia)

Materials

All the necessary study material is in moodle.

Teaching methods

Independent study in moodle.

Further information

The course's Moodle contains versatile and clear material for independent study. The course material covers clear videos and lecture slides on each topic. There are many practice tasks and there is a model solution for each task. You can check your own competence after studying each of the six themes with competence tests, which also accumulate the points needed for the evaluation.

Evaluation scale

1-5

Assessment criteria, satisfactory (1)

satisfactory (1-2): The student knows and understands to a satisfactory extent the basic concepts and methods of calculus, and is able to apply them to usual problems.

Assessment criteria, good (3)

good (3-4): The student is familiar with the concepts and methods of calculus, and is able to apply them to different types of problems. The student is able to combine the accumulated knowledge and skills with previous experiences in the subject

Assessment criteria, excellent (5)

excellent (5): The student is familiar with the concepts and methods of calculus, and is able to apply them to a variety of different problems. The student has demonstrated creativity and innovation, and is able to find new meanings when applying what they have learned.

Assessment methods and criteria

Course evaluation consists of many different areas. These sub-areas, their scores and grade criteria can be viewed in Moodle.

Assessment criteria, good (3)

The student masters the most central topics of the course, and knows how to use them in situations similar to the mechanical tasks presented in the course.

Assessment criteria, excellent (5)

The student masters most of the topics of the course, and knows how to use them versatilely to solve common problems.

Assessment criteria, approved/failed

The student masters almost all the topics of the course, and knows how to apply them versatilely to solve problems.

Qualifications

Algebra and Trigonometry