Syllabus for Basic Course in Mathematics

Baskurs i matematik

A revised version of the syllabus is available.

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: The Faculty Board of Science and Technology
  • Revised: 2009-11-12
  • Revised by: The Faculty Board of Science and Technology
  • Applies from: Autumn 2010
  • Entry requirements:
  • Responsible department: Department of Mathematics

Learning outcomes

In order to pass the course (grade 3) the student should

  • be able to give an account of important concepts and definitions for numbers and polynomials;

  • master the rules for powers and logarithms, and be able to compute with polynomials and complex numbers;

  • know how to solve simple combinatorial problems;

  • be able to carry out simple proofs by induction;

  • know the definitions of the trigonometric functions and some important trigonometric formulas, and know how to solve simple trigonometric equations;

  • be able to do computations with coordinates, and know how to use the equations of the line and the circle;

  • be able to formulate important results and theorems in the area of the course.

    • Content

    Arithmetic for rational and real numbers, inequalities, absolute value. Permutations and combinations. 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. Moreover, compulsory assignments may be given during the course.

    Syllabus Revisions

    Reading list

    Reading list

    Applies from: Spring 2010

    Some titles may be available electronically through the University library.

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

      7th ed.: Toronto: Pearson Addison Wesley, c2009

      Find in the library

    Reading list revisions

    Print syllabus and reading list
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