Course syllabus for Calculus, part C

The course syllabus contains changes
See changes

Course syllabus adopted 2024-02-06 by Head of Programme (or corresponding).

Observe
Note – can not be included in a Chalmers' degree

Overview

  • Swedish nameMatematik, del C
  • CodeMVE715
  • Credits9 Pre-education credits
  • OwnerZBARD
  • Education cyclePre-university
  • DepartmentMATHEMATICAL SCIENCES
  • GradingTH - Pass with distinction (5), Pass with credit (4), Pass (3), Fail

Course round 1

  • Teaching language Swedish
  • Application code 94121
  • Open for exchange studentsNo
  • Only students with the course round in the programme overview.

Credit distribution

0124 Laboratory 1.5 fup
Grading: UG		 1.5 fup
0224 Examination 7.5 fup
Grading: TH		 7.5 fup
  • 22 Mar 2025 pm J
  • 26 Apr 2025 pm J
  • 21 Aug 2025 pm J

In programmes

Examiner

Go to coursepage (Opens in new tab)

Eligibility

General entry requirements for bachelor's level studies

Specific entry requirements

Mathematics 2a or 2b or 2c or equivalent and English 6

Course specific prerequisites

Examination certificate from upper secondary school including or complemented by the courses 2a or 2b or 2c in mathematics.

Aim

The aim of the course is to give basic knowledge in mathematical analysis. The course will also supply a good base for further studies.

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

  • define and interpret the concepts of derivative and differentiation.
  • use the definition to evaluate the derivative of some elementary functions and other simpler functions.
  • understand the connection between continuity and differentiation.
  • derive the derivatives of the elementary functions.
  • derive and use the fundamental rules of differentiation.
  • derive and use the connection between the derivative of a function and its inverse.
  • understand and use the concept of implicit differentiation.
  • define the concepts of increasing/decreasing function and local maximum/minimum value.
  • calculate derivatives of higher order.
  • use second derivative to determine where a function is convex/concave.
  • calculate asymptotes.
  • construct graphs of functions and calculate the absolute maximum/minimum value of a function.
  • interpret and use derivatives to solve simpler problems.
  • define the concepts of antiderivative and improper integral.
  • derive and use the fundamental rules of integration for improper integrals.
  • obtain basics in programming.

Content

  • Derivatives with applications on extreme value problems (maxima and minima).
  • Differentiation of sums, products (chain rule), quotients and composite functions.
  • Derivatives of inverse functions.
  • Derivatives of elementary functions.
  • Tangents and normal to curves.
  • Asymptotes.
  • Derivatives of higher orders with applications.
  • Graphs of functions.
  • Primitive functions and indefinite integrals.
  • Integration by substitution and integration by parts.
  • Integrals of rational functions
  • Programming: Variables, assignment, combine commands, handle numbers and elementary functions, script files, vectors, plots in 2D, logical expressions and relational operators, character field, input and output, conditional statements (if), loops (for and while), error handling, short about data types, functions and function files, recursive functions, short about algorithms and numerical methods with examples, short about flowcharts and pseudocode.

Organisation

Teaching takes place online through lectures and exercises.

Literature

Håkan Blomqvist: Matematik för tekniskt basår, del 1-3, Matematiklitteratur.

Examination including compulsory elements

The programming part is mandatory with mainly web-based examination and grading scale UG. The mathematics part is graded through written exam, which also decides the final grade on whole course with scale TH.

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 about disability study support.

The course syllabus contains changes

  • Changes to course rounds:
    • 2024-12-02: Examinator Examinator changed from Thomas Wernstål (twernst) to Adam Malik (maadam) by v
      [Course round 1]