Valid for: 2021/22
Faculty: Faculty of Engineering, LTH
Decided by: PLED TB
Date of Decision: 2021-03-23
Compulsory for: TNB1-TEBA, 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.
• 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.
• 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.
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.
• Algebraic and graphical methods for determining integrals
with and without digital tools, including estimates of
magnitudes.
• Different methods of proof in mathematics, with
examples from the areas of arithmetic, algebra or geometry.
• 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
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).