Contents:

1) Mathematical symbols, basic algebra.
2) Functions and graphs.
3) Linear functions, quadratic functions.
4) Linear rational functions, power functions.
5) Logarithmic functions, logarithm properties, exponential functions.
6) Trigonometric functions, summary of trigonometric identities.
7) Linear equations, linear inequalities.
8) System of linear equations.
9) Quadratic equations, quadratic inequalities.
10) Absolute value equations, absolute value inequalities
11) Logarithmic equations, exponential equations, trigonometric equations.
12) Complex numbers, arithmetic of complex numbers, complex plane.
13) Polar form of complex numbers, exponential form of complex numbers. De Moivre's theorem.

Recommended literature:

1) M. Lovric: Mathematics Review Manual, McMaster University, 2009, http://ms.mcmaster.ca/lovric/rm/MathReviewManual.pdf

2) Math Review for the Quantitative Reasoning measure of the GRE General Test, https://www.ets.org/s/gre/pdf/gre_math_review.pdf

3) Algebra Review in Ten Lessons, University of Akron, 2007 http://www.math.uakron.edu/~dpstory/mpt_home.html

Abbreviations used:

Semester:

• W ... winter semester (usually October - February)
• S ... spring semester (usually March - June)
• W,S ... both semesters

Mode of completion of the course:

• A ... Assessment (no grade is given to this course but credits are awarded. You will receive only P (Passed) of F (Failed) and number of credits)
• GA ... Graded Assessment (a grade is awarded for this course)
• EX ... Examination (a grade is awarded for this course)
• A, EX ... Examination (the award of Assessment is a precondition for taking the Examination in the given subject, a grade is awarded for this course)

Weekly load (hours per week):

• P ... lecture
• C ... seminar
• L ... laboratory
• R ... proseminar
• S ... seminar