# MAT1100 – Calculus

Choose semester

## Course content

MAT1100 is a continuation of high school calculus, but goes deeper into the theoretical foundations and develops the methods further in order to deal with more complicated cases. The course also contains introductions to complex numbers, vectors and matrices, and continuity and differentiability of functions of several variables. MAT1100 builds on the most advanced mathematics courses from secondary education (R1/R2) and forms the basis for MAT1110.

## Learning outcome

After completing the course:

• you are familiar with the complex numbers and can calculate with them on Cartesian and polar form;
• you are familiar with the Completeness Principle for the real numbers and know how it is used in creating the theory of functions of one variable;
• you know how to define conituity, limits, derivatives, and integrals precisely, and can compute limits, derivatives, and integrals of functions of one variable;
• you are familiar with vectors and matrices and can use them for simple calculations;
• you know what functions of several variables are, can determine whether they are continuous and differentiable, and can compute and interpret directional derivatives and partial derivatives;
• you can use the theory in the course to solve modeling problems, especially problems concerning integration, optimization, and related rates.

you can present your calculations and arguments in a clear and coherent way with suitable notation and terminology

Students who are admitted to study programmes at UiO must each semester register which courses and exams they wish to sign up for in Studentweb.

## Prerequisites

### Formal prerequisite knowledge

In addition to fulfilling the Higher Education Entrance Qualification, applicants have to meet the following special admission requirements:

• Mathematics R1 (or Mathematics S1 and S2) + R2

And in addition one of these:

• Physics (1+2)
• Chemistry (1+2)
• Biology (1+2)
• Information technology (1+2)
• Geosciences (1+2)
• Technology and theories of research (1+2)

The special admission requirements may also be covered by equivalent studies from Norwegian upper secondary school or by other equivalent studies (in Norwegian).

### Recommended previous knowledge

R2/3MX from secondary school.

## Overlapping courses

The overlap between the 3 courses MAT1001 – Mathematics 1 (discontinued), MAT1012 – Mathematics 2 (discontinued), MAT1100 – Calculus is 10 credits in total; you get 20 credits for these 3 courses. The same goes if you replace MAT1001 – Mathematics 1 (discontinued) with MAT1110 – Calculus and Linear Algebra.

## Teaching

6 hours of lectures. In addition there will be individual exercise solving groups during the week, with guidance available.

The number of groups offered can be adjusted during the semester, depending on attendance.

## Examination

Detailed information about compulsory assignments will be published on the course information page at the beginning of the semester.

Digital Midterm exam and final written exam at the end of the semester add up to the final grade. Both exams are compulsory and have to be taken in the same semester.

Midterm exam counts for 1/3 and the final exam counts for 2/3. The final grade is based on the total score and a general impression after the final examination.

### Examination support material

Midterm examination: No support materials permitted.

Final examination: Approved calculator.

Information about approved calculators (Norwegian only)

### Language of examination

You may write your examination paper in Norwegian, Swedish, Danish or English.

### Resit an examination

This course offers both postponed and resit of examination. Read more:

### Withdrawal from an examination

It is possible to take the exam up to 3 times. If you withdraw from the exam after the deadline or during the exam, this will be counted as an examination attempt.

### Special examination arrangements

Application form, deadline and requirements for special examination arrangements.

## Evaluation

The course is subject to continuous evaluation. At regular intervals we also ask students to participate in a more comprehensive evaluation.

10

Bachelor

Every autumn

Every autumn

Norwegian

## Contact

Department of Mathematics