# MA1101 - Basic Calculus 1

### Examination arrangement

Examination arrangement: Portfolio assessment

Evaluation form Weighting Duration Examination aids Grade deviation
Semester test 20/100 D
Written examination 80/100 4 hours D

### 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 mid-semester examination.
Portfolio assessment is the basis for the grade awarded in the course. This portfolio comprises a written final examination (80%) and the mid-semester examination (20%). The mid-semester examination only counts if it has a positive effect on the final grade. The results for the constituent parts are to be given in %-points, while the grade for the whole portfolio (course grade) is given by the letter grading system. The re-sit examination may be given as an oral examination.

• Øvinger

### 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

Exam registration requires that class registration is approved in the same semester. 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 01.09.2007
MA0003 6.0 01.09.2007
More on the course
Facts

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

Coursework

Term no.: 1
Teaching semester:  AUTUMN 2019

No.of lecture hours: 4
Lab hours: 2
No.of specialization hours: 6

Language of instruction: -

Location: Trondheim

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

Department of Mathematical Sciences

Phone:

# Examination

#### Examination arrangement: Portfolio assessment

Term Status code Evaluation form Weighting Examination aids Date Time Digital exam
Autumn ORD Semester test 20/100 D
Summer UTS Semester test 20/100 D
Autumn ORD Written examination 80/100 D 2019-12-04 09:00
Summer UTS Written examination 80/100 D
• * 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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