AF0700 Introductory Mathematics 1.5 credits

• The exponent rules. Basic algebraic identities. The method of completing the square. Charts for analyzing the sign of an expression. The absolute value function. The equation of a straight line in the plane.
• First and second order equations. Some basic polynomial equations of higher degree. Equations with false roots. Linear and nonlinear inequalities.
• Exponential functions and logarithms. The laws of logarithms. Exponential equations and logarithmic equations. Logarithmic scale.
• Trigonometric functions. Inverse trigonometric functions. Trigonometric formulas and equations. The law of sines and the law of cosines.
• Basic terminology of sets and set operations.
• Standard notation for sums and products.

After completing the course students shall be able to :

• Define and interpret the concepts described in the course contents.
• Solve standard problems within the area described in the course contents.

If the course is discontinued, students may request to be examined during the following two academic years.

• TEN1 - Written exam, 1.5 credits, grading scale: P, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

Robert Algervik

• All members of a group are responsible for the group's work.
• In any assessment, every student shall honestly disclose any help received and sources used.
• In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.