course-details-portlet

MA1101 - Basic Calculus 1

About

Examination arrangement

Examination arrangement: Aggregate score
Grade: Letters

Evaluation Weighting Duration Grade deviation Examination aids
School exam 70/100 4 hours D
Mappevurdering 30/100

Course content

Basic properties of real numbers and real functions of a real variable; limits, continuity, differentiation and integration. The fundamental theorem of calculus and its applications are central. There is an emphasis on rigour.

Learning outcome

1. Knowledge. The student is familiar with central concepts of real analysis, including convergence; properties of the real numbers and of continuous, differentiable and integrable functions; linearization; the fundamental theorem of calculus. Moreover, the student is familiar with numerical methods for integration and equation solving. The student has more detailed knowledge of the properties of special functions such as polynomials, exponential functions, trigonometric functions and their inverses.

 

 

2. Skills. The student is able to apply techniques of integration and derivation in mathematical modeling, to derive simple mathematical results and to analyze functions. The student is able to set up and analyze simple mathematical models that require elementary optimization. The student is able to choose and implement suitable numeral methods for problems involving integration and equation solving, and to estimate the accuracy of the chosen method. Moreover, the student is able to read and write rigorous mathematical proofs related to the content of the course, including proofs based on induction.

Learning methods and activities

Lectures, compulsory exercises and a written assignment. The re-sit examination may be given as an oral examination.

Compulsory assignments

  • Exercises

Further on evaluation

In the case that the student receives an F/Fail as a final grade after both ordinary and re-sit exam, then the student must retake the course in its entirety. Submitted work that counts towards the final grade will also have to be retaken. For more information about grading and evaluation, see «Teaching methods and activities».

Specific conditions

Compulsory activities from previous semester may be approved by the department.

Course materials

Will be announced at the start of the course.

Credit reductions

Course code Reduction From To
MNFMA100 7.5
MA6101 7.5
TMA4100 3.7
MA0001 6.0
MA0003 6.0
TMA4101 3.7
More on the course
Facts

Version: 1
Credits:  7.5 SP
Study level: Foundation courses, level I

Coursework

Term no.: 1
Teaching semester:  AUTUMN 2021

Language of instruction: -

Location: Trondheim

Subject area(s)
  • Mathematics
Contact information
Course coordinator:

Department with academic responsibility
Department of Mathematical Sciences

Examination

Examination arrangement: Aggregate score

Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
Autumn ORD Mappevurdering 30/100
Room Building Number of candidates
Autumn ORD School exam 70/100 D 2021-12-13 09:00
Room Building Number of candidates
Spring NY Mappevurdering 30/100
Room Building Number of candidates
  • * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
Examination

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

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