COURSE SYLLABUS Mathematics G5 7.5 pre-education credits Matematik G5 Pre-university level, MX008M Version Spring 2020 Sp 3 - Spring 2020 Sp 4Autumn 2020 Sp 1 - Present Course syllabus valid: Spring 2020 Sp 3 - Spring 2020 Sp 4The version indicates the term and period for which this course syllabus is valid. The most recent version of the course syllabus is shown first. Grade scale U G# Subject Mathematics Subject (SCB) Mathematics Entry requirementsIn 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 More information about English language requirements SelectionCourse AimAfter 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. ContentsLogic , Mathematical Sets, The Binomial theorem, Induction, Limits, Continuous functions, Inverse functions, Logarithm functions, Differentiation, Implicit differentiation, Solution of equations, Introduction to Matlab.RealizationLectures, problem solving.ExaminationWritten examination.RemarksCannot be included in the degree together with M0045M Mathematics FExaminerJuha KoivuniemiLiterature. Valid from Spring 2020 Sp 3 (May change until 10 weeks before course start) Search books in the library » Course offered byDepartment of Engineering Sciences and MathematicsModules CodeDescriptionGrade scaleHPStatusFrom periodTitle 0001Written examU G#7.50MandatoryS20 Study guidanceStudy guidance for the course is to be found in our learning platform Canvas before the course starts. Students applying for single subject courses get more information in the Welcome letter. You will find the learning platform via My LTU.Syllabus establishedLast revisedby 14 Jun 2019