# Before choosing course

Course offering missing for current semester as well as for previous and coming semesters

## Content and learning outcomes

### Course contents

• Complex numbers: The complex plane. Modulus and argument. Polar, rectangular and exponential form. Euler´s and de Moivre´s theorems. Binomial equations. Algebraic equations.
• Differential equations: Separable differential equations. First order differential equations. Linear differential equations with constant coefficients. Applications.
• Statistics: Descriptive statistics.
• Sets and combinatorics. Probability theory, basic notations.
• Sample spaces, dependent and independent events. Conditional probability. The theorem of total probability.
• Stochastic variables. Expected value, variance and standard deviation.
• Discrete stochastic variables.
• Uniform, hypergeometric distribution.
• The binominal and Poisson distributions.
• Continuous random variables. Uniform distribution, exponential and normal distribution
• Functions of random variables. The central limit theorem.
• Point estimation and interval estimation

### Intended learning outcomes

No information inserted

### Course Disposition

No information inserted

## Literature and preparations

### Specific prerequisites

Basic knowledge in calculus and linear algebra

### Recommended prerequisites

No information inserted

### Equipment

No information inserted

### Literature

Contact the department for further information.

## Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

A, B, C, D, E, FX, F

### Examination

• LAB1 - Laboratory Work, 1,5 hp, betygsskala: P, F
• TEN1 - Examination, 3,0 hp, betygsskala: A, B, C, D, E, FX, F
• TEN2 - Examination, 3,0 hp, betygsskala: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

### Other requirements for final grade

Passed exams:
(TEN1; 3 cr.), credit rate A-F
(TEN2; 3 cr.), credit rate A-F
Passed lab work (LAB1; 1,5 cr.), credit rate P/F
In total credit rate A-F.

### Opportunity to complete the requirements via supplementary examination

No information inserted

### Opportunity to raise an approved grade via renewed examination

No information inserted

### Ethical approach

• All members of a group are responsible for the group's work.
• In any assessment, every student shall honestly disclose any help received and sources used.
• In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

## Further information

### Course web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web HF1003

### Offered by

CBH/Biomedical Engineering and Health Systems

### Main field of study

Mathematics, Technology

First cycle