Study Guide

Objective

After completing the study unit you know the basics of differential calculus, vectors and matrices. You are able to apply differential and matrix calculation methods in solving problems.

Content

- Definition of derivate
- Rules for derivation and integration
- extreme values of functions
- Basics of vector calculation
- Calculating with vectors (dot product and cross product)
- Definition of matrix
- Calculating with matrices

Materials

OpenStax, free online material:
• Calculus Volume 1, chapters 1-3, 5-6 (as applicable) and
• College Algebra, chapters 7.5-7.8 (as applicable).

• TI-Nspire™ CX CAS Student Software

Exam schedules

Midterm exams are agreed on the first lesson of the course.

Final exam on December 2023 according to study plan.

It is possible to resit the exam with the same course content twice until 31.5.2023. The exam resits for the course are announced on Moodle. Enrollments to resits via email to the teacher of the cousre.

This course can't be done on EXAM-environment.

Completion alternatives

The course can be accomplished also by attending to final exam on December 2023.

Student workload

Lessons and exams 37 hours
+
Self-learning about 98 hours
=
Total 135 hours

One academic credit equals about 27 hours of work for student.

Evaluation scale

H-5

Assessment methods and criteria

Evaluation is based on the exams, specified exercises and assignments announced by the teacher on the lessons and on Moodle. If the student's total amount of points is
- less than 40 % of maximum -> grade 0 (fail)
- 40 - 51 % of maximum -> grade 1
- 52 - 63 % of maximum -> grade 2
- 64 - 75 % of maximum -> grade 3
- 76 - 91 % of maximum -> grade 4
- more than 91 % of maximum -> grade 5.

Assessment criteria, fail (0)

The student is unable to apply mathematics

Less than 40 % of points from exams and other exercises or assignments

Assessment criteria, satisfactory (1-2)

The student is able to apply basics on easy applications.

Grade 1: 40 - 51 % of points from exams and other exercises or assignments

Grade 2: 52 - 63 % of points from exams and other exercises or assignments

Assessment criteria, good (3-4)

The student is able to apply mathematics on applications

Grade 3: 64 - 75 % of points from exams and other exercises or assignments

Grade 4: 76 - 91 % of points from exams and other exercises or assignments

Assessment criteria, excellent (5)

The student is able to apply mathematics fluently on applications

More than 91 % of points from exams and other exercises or assignments