Contents:

Arithmetic progressions, geometric progressions.
Infinite series.
Analytical geometry in 2-D space, coordinate systems.
Equation of a line in 2-D space.
Distance from a point to a line.
Relative position of two lines in 2-D space.
Conic sections in 2-D space.
Representations of conic sections on the coordinate plane and their equations.
Analytical geometry in 3-D space.
Equation of a line in 3-D space. Equation of a plane in 3-D space.
The relative position of lines and planes in space.
Limit of a function, algebraic limit theorem.
Introduction to differentiation, arithmetic of derivatives.
Introduction to integration, primitive functions.

Seminar contents:

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