Course syllabus

# Tekniskt basår: Matematik 3c Pre-University Course in Technical Sciences: Mathematics 3c

## TBAA05, 13 credits, G1 (First Cycle)

Valid for: 2020/21
Decided by: PLED TB
Date of Decision: 2020-04-03

## General Information

Compulsory for: TB1
Language of instruction: The course will be given in Swedish

## Aim

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

## Learning outcomes

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.

## Contents

•    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).

## Examination details

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