Course syllabus for Calculus, part 1

The course syllabus contains changes
See changes

Course syllabus adopted 2021-02-26 by Head of Programme (or corresponding).

Overview

  • Swedish nameMatematisk analys, del 1
  • CodeMVE535
  • Credits7.5 Credits
  • OwnerTIDAL
  • Education cycleFirst-cycle
  • Main field of studyMathematics
  • DepartmentMATHEMATICAL SCIENCES
  • GradingTH - Pass with distinction (5), Pass with credit (4), Pass (3), Fail

Course round 1

  • Teaching language Swedish
  • Application code 62119
  • Maximum participants125
  • Open for exchange studentsNo
  • Only students with the course round in the programme overview.

Credit distribution

0117 Examination 7.5 c
Grading: TH		 7.5 c
  • 17 Mar 2022 am L
  • 10 Jun 2022 pm L
  • 23 Aug 2022 pm L

In programmes

Examiner

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Eligibility

General entry requirements for bachelor's level (first cycle)
Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.

Specific entry requirements

The same as for the programme that owns the course.
Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.

Course specific prerequisites

Elementary knowledge in algebra corresponding to the course LMA212 Algebra.

Aim

The course should, in a coherent way, give basic knowledge of calculus. The course will also facilitate mathematical treatment of technical problems in the profession and provide basic knowledge for further studies.

Learning outcomes (after completion of the course the student should be able to)

  • define the concepts of limit and continuity and compute limits
  • define the concepts of derivative and differentiation and use the definition of derivative to calculate the derivatives of elementary functions and the fundamental rules of differentiation
  • outline the elementary functions and account for their properties
  • define the concepts of increasing (decreasing) function and local maximum (minimum) value
  • construct graphs of functions and calculate the absolute maximum (minimum) value of a function
  • define the concept of inverse function, calculate inverse functions and their derivatives

Content

Theory of sets Logics Algebraic equations Algebraic simplifications Inequalities Absolute value The circle and the ellipse The concept of a function Exponential- and logarithmic functions Derivative, rules of differentiation Implicit differentiation Tangent and normal Limits Continuity Derivative, differentiable functions The Mean-value theorem Increasing and decreasing functions Local maximum och minimum Extreme-value problems Inverse function The inverse trigonometric functions Derivatives of the elementary functions Asymptotes, construction of the graph of a function Growth of exponentials and logarithms Antiderivatives.

Organisation

The course includes lectures, tutorials, quizzes and homework.

Literature

Månsson+Nordbeck: Endimensionell Analys.

Examination including compulsory elements

The learning outcomes are assessed continuously by quizzes and a final exam.

The course examiner may assess individual students in other ways than what is stated above if there are special reasons for doing so, for example if a student has a decision from Chalmers on educational support due to disability.

The course syllabus contains changes

  • Changes to course:
    • 2021-11-25: Litterature Litterature changed by Examinator
      Updated literature
  • Changes to examination:
    • 2022-02-01: Examination time Examination time changed from Afternoon to Morning by Monika Tykesson
      [2022-03-17 7,5 hec, 0117]
  • Changes to course rounds:
    • 2021-11-19: Examinator Examinator changed from Stefan Lemurell (sj) to Zoran Konkoli (zorank) by Viceprefekt
      [Course round 1]