# Syllabus for Basic Course in Mathematics

## Syllabus

• 5 credits
• Course code: 1MA010
• Education cycle: First cycle
• Main field(s) of study and in-depth level: Mathematics G1N

### Explanation of codes

The code indicates the education cycle and in-depth level of the course in relation to other courses within the same main field of study according to the requirements for general degrees:

First cycle

• G1N: has only upper-secondary level entry requirements
• G1F: has less than 60 credits in first-cycle course/s as entry requirements
• G1E: contains specially designed degree project for Higher Education Diploma
• G2F: has at least 60 credits in first-cycle course/s as entry requirements
• G2E: has at least 60 credits in first-cycle course/s as entry requirements, contains degree project for Bachelor of Arts/Bachelor of Science
• GXX: in-depth level of the course cannot be classified

Second cycle

• A1N: has only first-cycle course/s as entry requirements
• A1F: has second-cycle course/s as entry requirements
• A1E: contains degree project for Master of Arts/Master of Science (60 credits)
• A2E: contains degree project for Master of Arts/Master of Science (120 credits)
• AXX: in-depth level of the course cannot be classified

• Grading system: Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
• Established: 2007-03-19
• Established by:
• Revised: 2022-10-20
• Revised by: The Faculty Board of Science and Technology
• Applies from: Autumn 2023
• Entry requirements:
• Responsible department: Department of Mathematics

## Learning outcomes

On completion of the course, the student should be able to:

## Content

The mathematical language, symbols from logic and set theory. Arithmetic for rational and real numbers, inequalities, absolute value. Permutations and combinations. Sum notation. Induction. Polynomials: factorisation and division, completing squares, simple algebraic equations. The binomial theorem. Complex numbers: real and imaginary part, polar form, the complex plane, second degree equations and binomial equations. The function concept.

Elementary functions: the exponential function, logarithms (in different bases), logarithmic rules, and trigonometric functions. Trigonometric formulas. Simple exponential, logarithmic and trigonometric equations.

Coordinate systems in the plane. The distance formula. Equations for the line and the circle. Equations for the ellipse, hyperbola and parabola in standard form.

## Instruction

Lectures and problem solving sessions.

## Assessment

Written examination at the end of the course and assignments during the course.

If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.

## Syllabus Revisions

Applies from: Autumn 2023

Some titles may be available electronically through the University library.

• Adams, Robert A.; Essex, Christopher Calculus : a complete course

Tenth edition.: Toronto: Pearson, 2021

Find in the library

Mandatory

• Ekstig, Kerstin; Hellström, Lennart; Sollervall, Håkan Matematik startbok : för ingenjörer och naturvetare

Upplaga 3: Lund: Studentlitteratur, [2019]

Find in the library

Mandatory

• Rodhe, Staffan; Sollervall, Håkan Matematik för ingenjörer

6. uppl.: Lund: Studentlitteratur, 2010

Find in the library