# MA6101 - Basic Calculus 1

### Examination arrangement

Examination arrangement: Aggregate score

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

### Course content

This course is equivalent to MA1101, adapted to further education. 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

Exercises, gatherings, project and final written exam.

• Exercises

### Further on evaluation

The course has two evaluations. A continuation exam is held for the written school exam, this may be change to oral exam if there are few students. There is no continuation exam for the project.

If one evaluation is passed, and one is failed, the evaluation that is failed can be retaken if necessary next time the course is lectured ordinary.

Students that want to improve their grade in the course, can choose to retake one of the two evaluations. If the evaluation is changed, the whole evaluation must be retaken.

### Specific conditions

Admission to a programme of study is required:
- (KDELTA)
- (KMA2-8-13)

### Course materials

Will be announced at the start of the course.

### Credit reductions

Course code Reduction From To
MNFMA100 7.5
MA1101 7.5
MA0001 6.0 AUTUMN 2007
MA0003 6.0 AUTUMN 2007
TMA4100 3.7 AUTUMN 2009
TMA4101 3.7 AUTUMN 2020
More on the course

No

Facts

Version: 1
Credits:  7.5 SP
Study level: Further education, lower degree level

Coursework

Term no.: 1
Teaching semester:  AUTUMN 2023

Language of instruction: Norwegian

Location: Trondheim

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

Department of Mathematical Sciences

Pro-Rector for Education

# Examination

#### Examination arrangement: Aggregate score

Term Status code Evaluation Weighting Examination aids Date Time Examination system
Autumn ORD School exam 70/100 2023-12-07 09:00
Autumn ORD Project 30/100

Submission
2023-11-08

13:00

• * 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"

More on examinations at NTNU