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SF1651 Introductory Course in Mathematics 5.0 credits

Förberedande kurs i matematik

  • Educational level

    First cycle

  • Academic level (A-D)

    A

  • Subject area

    Mathematics
    Techonology

  • Grade scale

    P, F

Course offerings

Autumn 13 Vecka 32-52 for single courses students

  • Periods

    Autumn 13 P0 (1.0 credits), P1 (2.0 credits), P2 (2.0 credits)

  • Application code

    40040

  • Start date

    05/08/2013

  • End date

    2013 week: 52

  • Language of instruction

    Swedish

  • Campus

    -

  • Number of lectures

  • Number of exercises

  • Tutoring time

    Daytime

  • Form of study

    IT based distance

  • Number of places *

    5 - 999

    *) The Course date may be cancelled if number of admitted are less than minimum of places. If there are more applicants than number of places selection will be made.

Autumn 13 Vecka 36-52 for single courses students

  • Periods

    Autumn 13 P1 (1.5 credits), P2 (3.5 credits)

  • Application code

    10046

  • Start date

    02/09/2013

  • End date

    2013 week: 52

  • Language of instruction

    Swedish

  • Campus

    -

  • Number of lectures

  • Number of exercises

  • Tutoring time

    Daytime

  • Form of study

    IT based distance

  • Number of places *

    5 - 999

    *) The Course date may be cancelled if number of admitted are less than minimum of places. If there are more applicants than number of places selection will be made.

Autumn 13 Vecka 45-52 for single courses students - To application

  • Periods

    Autumn 13 P2 (5.0 credits)

  • Application code

    10047

  • Start date

    04/11/2013

  • End date

    2013 week: 52

  • Language of instruction

    Swedish

  • Campus

    -

  • Number of lectures

  • Number of exercises

  • Tutoring time

    Daytime

  • Form of study

    IT based distance

  • Number of places *

    5 - 999

    *) The Course date may be cancelled if number of admitted are less than minimum of places. If there are more applicants than number of places selection will be made.

  • Application

    Apply for this course at antagning.se through this application link.
    Please note that you need to log in at antagning.se to finalize your application.

Autumn 13 Vecka 28-35 for single courses students

  • Periods

    Autumn 13 P0 (4.0 credits), P1 (1.0 credits)

  • Application code

    40008

  • Start date

    08/07/2013

  • End date

    2013 week: 35

  • Language of instruction

    Swedish

  • Campus

    -

  • Number of lectures

  • Number of exercises

  • Tutoring time

    Daytime

  • Form of study

    IT based distance

  • Number of places *

    5 - 999

    *) The Course date may be cancelled if number of admitted are less than minimum of places. If there are more applicants than number of places selection will be made.

Spring 14 Vecka 22-33 for single courses students - To application

  • Periods

    Spring 14 P4 (0.5 credits), P5 (4.5 credits)

  • Application code

    40002

  • Start date

    26/05/2014

  • End date

    2014 week: 33

  • Language of instruction

    Swedish

  • Campus

    -

  • Number of lectures

  • Number of exercises

  • Tutoring time

    Daytime

  • Form of study

    IT based distance

  • Number of places *

    5 - 999

    *) The Course date may be cancelled if number of admitted are less than minimum of places. If there are more applicants than number of places selection will be made.

  • Application

    Apply for this course at antagning.se through this application link.
    Please note that you need to log in at antagning.se to finalize your application.

Spring 14 Vecka 23-33 for single courses students - To application

  • Periods

    Spring 14 P4 (0.5 credits), P5 (4.5 credits)

  • Application code

    40003

  • Start date

    02/06/2014

  • End date

    2014 week: 33

  • Language of instruction

    Swedish

  • Campus

    -

  • Number of lectures

  • Number of exercises

  • Tutoring time

    Daytime

  • Form of study

    IT based distance

  • Number of places *

    5 - 999

    *) The Course date may be cancelled if number of admitted are less than minimum of places. If there are more applicants than number of places selection will be made.

  • Application

    Apply for this course at antagning.se through this application link.
    Please note that you need to log in at antagning.se to finalize your application.

Spring 13 Vecka 05-24 for single courses students

  • Periods

    Spring 13 P3 (1.0 credits), P4 (3.0 credits), P5 (1.0 credits)

  • Application code

    20048

  • Start date

    28/01/2013

  • End date

    2013 week: 24

  • Language of instruction

    Swedish

  • Campus

    -

  • Number of lectures

  • Number of exercises

  • Tutoring time

    Daytime

  • Form of study

    IT based distance

  • Number of places *

    5 - 999

    *) The Course date may be cancelled if number of admitted are less than minimum of places. If there are more applicants than number of places selection will be made.

Spring 13 Vecka 13-24 for single courses students

  • Periods

    Spring 13 P4 (2.5 credits), P5 (2.5 credits)

  • Application code

    20049

  • Start date

    25/03/2013

  • End date

    2013 week: 24

  • Language of instruction

    Swedish

  • Campus

    -

  • Number of lectures

  • Number of exercises

  • Tutoring time

    Daytime

  • Form of study

    IT based distance

  • Number of places *

    5 - 999

    *) The Course date may be cancelled if number of admitted are less than minimum of places. If there are more applicants than number of places selection will be made.

Spring 13 Vecka 22-34 for single courses students

  • Periods

    Spring 13 P5 (5.0 credits)

  • Application code

    20069

  • Start date

    27/05/2013

  • End date

    2013 week: 34

  • Language of instruction

    Swedish

  • Campus

    -

  • Number of lectures

  • Number of exercises

  • Tutoring time

    Daytime

  • Form of study

    IT based distance

  • Number of places *

    5 - 999

    *) The Course date may be cancelled if number of admitted are less than minimum of places. If there are more applicants than number of places selection will be made.

Spring 13 Vecka 23-35 for single courses students

  • Periods

    Spring 13 P5 (5.0 credits)

  • Application code

    40012

  • Start date

    03/06/2013

  • End date

    2013 week: 35

  • Language of instruction

    Swedish

  • Campus

    -

  • Number of lectures

  • Number of exercises

  • Tutoring time

    Daytime

  • Form of study

    IT based distance

  • Number of places *

    5 - 999

    *) The Course date may be cancelled if number of admitted are less than minimum of places. If there are more applicants than number of places selection will be made.

Spring 13 Vecka 25-35 for single courses students

  • Periods

    Spring 13 P5 (5.0 credits)

  • Application code

    40013

  • Start date

    17/06/2013

  • End date

    2013 week: 35

  • Language of instruction

    Swedish

  • Campus

    -

  • Number of lectures

  • Number of exercises

  • Tutoring time

    Daytime

  • Form of study

    IT based distance

  • Number of places *

    5 - 999

    *) The Course date may be cancelled if number of admitted are less than minimum of places. If there are more applicants than number of places selection will be made.

Learning outcomes

The course, which is a bridge between high school and higher education, consists of four main parts each giving 1 credit and hand in assignments giving 1 credit. The sections go through some of the basic knowledge important to have fully updated for upcoming higher education studies. The course is web based and flexible, i.e. the student studies in a pace that suits him or her best.

After the course the student should be able to;

  • Decide which one of two logarithmic xpressions is bigger based on a comparison of base/argument
  • Simplify algebraic expressions and process these with the rules of squares
  • Solve algebraic equations which after simplification or by using logarithms lead to first degree equations
  • Solve second degree equations by completing the square and know how to check the solution
  • Factorize second degree expressions and know how to solve factorized or almost factorized second degree equations
  • Decide on the smallest/largest value a second degree expression can take
  • Solve simple root equations by the use of squares and know why the solution has to be proven
  • Convert between the formulas y=kx+m and ax+by+c=0
  • Sketch straight lines from the equation
  • Solve geometric problems that contain straight lines
  • Sketch the graph for second degree functions with the help of completing the square
  • Sketch areas that are given by linear differences and decide the area of these
  • Formulate and use the Pythagorean theorem
  • State the values of cos, sin and tan for the standard angles 0°, 30°, 45°, 60° and 90° by heart
  • Solve trigonometric problems that involve orthogonal triangles
  • Convert degrees, radians and circuits and be aware of the terms unit circle, tangent, radius, diameter, periphery,  chord and arc
  • Decide the values of sin, cos and tan for arguments that can be reduced to the default angles I one of the squares
  • Sketch the graph for cos, sin and tan
  • Calculate the area and circumference of circular sectors
  • Calculate the distance between two points of a plane
  • Sketch circles by completing the square in their equations
  • Solve geometrical problems with the help of the law of Area, the law of Sinus and the law of Cosine
  • Derive trigonometric relationships from symmetry in the unit circle
  • Simplify trigonometric expressions with the help of the trigonometric relationships
  • Solve trigonometric base equations
  • Solve trigonometric equations that can be transformed back into trigonometric base equations.

Course main content

1. Numeric calculations
Different types of calculations, fractions, exponentiation

2. Algebra
Algebraic expressions, linear expressions, quadratic expressions

3. Roots and logarithms
Roots, root equations, logarithms, logarithm equations

4. Trigonometry
Angles and circles, trigonometric functions, trigonometric relationships, trigonometric equations

5. Written account and communication
How to write about math, individual assignments

Eligibility

  • General requirements i.e. completed upper secondary education including documented proficiency in Swedish and English (for courses given in Swedish) or including documented proficiency in English (for courses given in English).
  • Specific requirements: knowledge of Mathematics corresponding to Mathematics C

Literature

Elektroniskt kursmaterial som ligger gratis åtkomligt på nätet för den som anmäler sig till kursen

Examination

  • INL1 - Assignment, 1.0 credits, grade scale: P, F
  • TEN1 - Examination, 1.0 credits, grade scale: P, F
  • TEN2 - Examination, 1.0 credits, grade scale: P, F
  • TEN3 - Examination, 1.0 credits, grade scale: P, F
  • TEN4 - Examination, 1.0 credits, grade scale: P, F

Offered by

SCI/Mathematics

Contact

RCN, info@rcn.kth.se

Examiner

Roy M Skjelnes <skjelnes@kth.se>

Version

Course plan valid from: Spring 13.
Examination information valid from: Autumn 07.