SUBJECT

Precalculus practices

practical

bachelor

Faculty of Informatics

1

Semester 1

Autumn semester

• Logical bases (the use of expressions with logical signs).

• Algebraic and radical expressions (identities, polynomials).

• Proofs by mathematical induction.

• Quadratic equationsand inequalities.

• Solving equations and inequalities.

• Functions (domain, graph, transformations, inverse).

• Trigonometric identities, equations, inequalities and functions.

• Sequences (arithmetic and geometric sequence, boundedness, monotonicity).

• Summation, set of points.

• David Cohen: Precalculus: A Problems-Oriented Approach (Cengage Learning Services 2005, 6 Rev. Ed.)

• Fred Safier: Schaum’s Outline of Precalculus (McGraw-Hill 2008, 2 Rev. Ed.)

• Matematikai alapozás (oktatási segédanyag, 2008)

Recommended literature:

• Bagota-Kovács-Krisztin-Német: Matematikai Praktikum feladatgyűjtemény (Polygon)

• Kosztolányi-Kovács-Pintér-Urbán-Vincze: Sokszínű matematika 12 (Nemzeti Tankönyvkiadó)

• Hajnal-Számadó-Békéssy: Matematika 12 (Nemzeti Tankönyvkiadó)