SF1643 Numbers and Functions 4.0 credits

• Computation involving real and complex numbers, inequalities, equation solving.
• Basic properties of elementary functions such as natural logarithm, power and exponential
  functions, trigonometric functions, complex exponential function.
  Inverse functions.
• Induction and binomial theorem. Sums and Sigma-notation.

Having completed the course, you will be able to:

• Simplify expressions with the help of factorization, laws of exponents
  and logarithms;
• Derive trigonometric relations with the help of the unit circle;
• Use factorization and polynomial division algorithmin order to solve certain polynomial equations;
• Solve certain trigonometric equations, equations including square root, logarithm or absolute value of an expression;
• Use Sigma-notation for a sum, and apply the binomial theorem.
• Carry out certain simple proofs, e.g., by induction.
• Make computations with complex numbers, both in rectangular and polar form;
• use the complex exponential function.
• Discuss the properties of certain elementary functions, in particular, logarithmic and trigonometric functions and their inverses.
• Present your arguments and calculations in an easy to follow way.

Advanced mathematics (level A-D from a Swedish high school) or equivalent.

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

• TEN1 - Examination, 4.0 credits, grading scale: A, B, C, D, E, FX, 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.

The examination of the course is by a finishing written exam and some smaller written test and projects during the course. The tests and projects give credits for the final exam.

• 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.