 COURSE SYLLABUS

Mathematics G5 7.5 pre-education credits

Matematik G5
Pre-university level, MX008M
Version
Course syllabus valid: Autumn 2020 Sp 1 - Present
The version indicates the term and period for which this course syllabus is valid. The most recent version of the course syllabus is shown first.

Syllabus established
by HUL Niklas Letho 14 Feb 2020

Last revised
by HUL Niklas Letho 14 Feb 2020

 Grade scale U G# Subject Mathematics Subject (SCB) Mathematics

Entry requirements

In order to meet the general entry requirements for first cycle studies you must have successfully completed upper secondary education and documented skills in English language

Selection

Course Aim

After completing the course, students should:

• Have a solid introduction to studies in mathematics on university level
• Have knowledge in elementary functions and basic mathematical logic
•  Be able to demonstrate, articulate and use the binomial theorem and implement proof by induction.
• Use key concepts and methods in the calculus of one variable on extreme value calculations and graphing, proof of inequalities, limit calculations, analysis of functions and expressions, inverses, approximations of functions, etc.
• To prove the central theorems in the field of differential calculus in one variable.
•  Be able to interpret the derivative as a rate and interpret the second derivative as acceleration and apply it to problems associated with speeds
• Be able to manage and prove key properties of elementary functions and their inverses.
• Demonstrate the ability to identify and solve problems using the methods taught in the course.

Contents

Logic , Mathematical Sets, The Binomial theorem, Induction, Limits, Continuous functions, Inverse functions, Logarithm functions, Differentiation, Implicit differentiation, Solution of equations, Introduction to Matlab and Gender.

Realization
Lectures, problem solving.

Examination
Written examination.

Remarks
Cannot be included in the degree together with M0045M Mathematics F

Examiner
Juha Koivuniemi

Literature. Valid from Autumn 2020 Sp 1 (May change until 10 weeks before course start)