Course syllabus

# Tekniskt basår: Matematik 4

Pre-University Course in Technical Sciences: Mathematics 4

## TBAA10, 9 credits, G1 (First Cycle)

## General Information

## Aim

## Learning outcomes

## Contents

## Examination details

## Admission

## Reading list

## Contact and other information

Pre-University Course in Technical Sciences: Mathematics 4

Valid for: 2020/21

Decided by: PLED TB

Date of Decision: 2020-04-03

Compulsory for: TB1, TNB1-NABA

Language of instruction: The course will be given in Swedish

The purpose of the course is to complete an upper secondary school education in Mathematics 4.

Knowledge and understanding

For a passing grade the student must

Does not exist in this form.

Competences and skills

For a passing grade the student must

Does not exist in this form.

Judgement and approach

For a passing grade the student must

Does not exist in this form.

**Mathematics 4, Part a**

• Handling trigonometric expressions, and proof and use
of trigonometric formulae including the Pythagorean trigonometric
identity and the addition formulae.

• Algebraic and graphical methods for solving trigonometric
equations.

• Different methods of proof in mathematics, with examples
from the areas of arithmetic, algebra or geometry.

• Properties of trigonometric functions, logarithmic
functions, compound functions and absolute amounts as
functions.

• Drawing graphs and their related asymptotes.

• Derivation and use of the rules of derivation for
trigonometric, logarithmic, exponential and compound functions, and
also the product and quotients of functions.

• Strategies for mathematical problem solving including the
use of digital tools and programming.

• Mathematical problems of importance in societal life and
applications in other subjects.

• Mathematical problems related to the history of
mathematics.

**Mathematics 4, Part b**

• Methods of calculating complex numbers written in
different forms including rectangular and polar forms.

• The complex number plane, representation of complex
numbers as points and vectors.

• Conjugates and absolute amounts of a complex number.

• Use and proof of de Moivre's formula.

• Algebraic and graphical methods for solving simple
polynomial equations with complex roots and real polynomial
equations of higher degrees, also by means of the factor
theorem.

• Properties of trigonometric functions, logarithmic
functions, compound functions and absolute amounts as
functions.

• Drawing graphs and their related asymptotes.

• Algebraic and graphical methods for determining integrals
with and without digital tools, including estimates of
magnitudes.

• The concept of differential equations and their
properties in simple applications that are relevant to subjects
typical of programmes.

• Strategies for mathematical problem solving including the
use of digital tools and programming.

• Mathematical problems of importance in societal life and
applications in other subjects.

• Mathematical problems related to the history of
mathematics.

Grading scale: UG - (U,G) - (Fail, Pass)

Assessment: Written examinations

The examiner, in consultation with Disability Support Services, may deviate from the regular form of examination in order to provide a permanently disabled student with a form of examination equivalent to that of a student without a disability.

Parts

Code: 0120. Name: Written Exam, Part a.

Credits: 4,5. Grading scale: UG. Assessment: Written examination.

Code: 0220. Name: Written Exam, Part b.

Credits: 4,5. Grading scale: UG. Assessment: Written examination.

The number of participants is limited to: No

- Alfredsson m fl: Matematik 5000+, kurs 4, Lärobok. Natur&Kultur, 2020, ISBN: 9789127455771.
- Alfredsson m fl: Matematik 5000+, kurs 4, Lärobok, Digital. Natur&Kultur, 2020, ISBN: 9789127458239. Alternative litterature.

Course coordinator: Jenny Olsson, jenny.olsson@math.lth.se

Course homepage: http://www.lth.se/utbildning/tekniskt-basar/

Further information: The scope for this course is expressed in access education credits (fup).