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
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).