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COURSE SYLLABUS

Calculus 7.5 Credits

Differentialkalkyl
First cycle, M0029M
Version
Course syllabus valid: Autumn 2014 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
The syllabus is approved by the Department of Mathematics and is valid from August 2007.

Last revised
by Mats Näsström 14 Feb 2014

Education level
First cycle
Grade scale
G U 3 4 5
Subject
Mathematics
Subject group (SCB)
Mathematics

Entry requirements

In order to meet the general entry reguirements for first cycle studies you must have successfully completed upper secondary education and documented skills in English language + Mathematics E (specifik entry 9). Or: Mathematics 4 (specifik entry A9)


More information about English language requirements


Selection

Selection A



Course Aim
After completing the course, students should:
  • 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.
  • Derive methods for numerical solution of equations in one variable.
  • Demonstrate the ability to identify and solve problems using the methods taught in the course.

Contents
The bionomial theorem, limits, continuous functions, differentiation, optimisation, polynomial approximation, numerical solution of equations.

Realization
Lectures, problem solving.

Examination
Written examination.

Examiner
Mikael Stenlund

Transition terms
The course M0029M is equal to MAM281

Literature. Valid from Autumn 2014 Sp 1 (May change until 10 weeks before course start)
Dunkels and others.: Mot bättre vetande i matematik, Studentlitteratur, latest edition.
Adams Robert A: Calculus, A Complete Course. Addison-Wesley, latest edition.
Dunkels and others: Derivator, integraler och sånt... Studentlitteratur, latest edition.

Course offered by
Department of Engineering Sciences and Mathematics

Items/credits
NumberTypeCreditsGrade
0001Written exam7.5G U 3 4 5

Study guidance
Study 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.