Course syllabus

# Tekniskt basår: Matematik 3c

Pre-University Course in Technical Sciences: Mathematics 3c

## TBAA05, 13 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 3c

Valid for: 2021/22

Faculty: Faculty of Engineering, LTH

Decided by: PLED TB

Date of Decision: 2021-03-23

Compulsory for: TNB1-TEBA

Language of instruction: The course will be given in Swedish

The purpose of the course is to complement an upper secondary school education in Mathematics 3c,

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.

• Basic calculating: arithmetics with known numbers, rational numbers, algebraic calculations, formulae, powers, square roots and completing squares.

• The concept of absolute values.

• The concepts of polynomial and rational expressions, and
generalization of the laws of arithmetic for dealing with these
concepts.

• Properties of the equation of a circle and unit circle in
defining trigonometric concepts.

• Proof and use of cosine, sine and area theorems for an
arbitrary triangle.

• Orientation to continuous and discrete functions, as well
as the concept of limits.

• Properties of polynomial functions of higher orders.

• The concepts of secant, tangent, rate of change and
derivatives of a function.

• Derivation and use of the rules of derivation for power
and exponential functions, and also sums of functions.

• Introduction of the number "e" and its properties.

• Algebraic and graphical methods for determining the value
of the derivative of a function.

• Algebraic and graphical methods for solving extreme value
problems using sign tables and second derivatives.

• Relationship between the graph of a function and the
first and second derivatives of a function.

• The concept of antiderivatives and definite integrals and
the relationship between integrals and derivatives.

• Determining simple integrals in applications relevant for
subjects typical of programmes.

• Strategies for mathematical problem solving.

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

• Mathematical problems related to the history of
mathematics.

• Programming (Python).

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

Assessment: Written examination and passed parts.

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.

Credits: 12. Grading scale: UG. Assessment: Written examination.

Code: 0220. Name: Programming.

Credits: 1. Grading scale: UG. Assessment: Compulsory attendance and approved reports.

The number of participants is limited to: No

- Alfredsson m fl: Matematik 5000+, kurs 3c, Basåret Lärobok. Natur&Kultur, 2019, ISBN: 9789127457157.
- Alfredsson m fl: Matematik 5000+, kurs 3c, Basåret Lärobok Digital. Natur&Kultur, 2019, ISBN: 9789127457744. Alternative litterature.

Course coordinator: Håkan Linder, hakan.linder@hbg.lth.se

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).