CALCULUS
CALCULUS
Syllabus - A. Bucki
- Precalculus Review.
- Elements of mathematical logic; Sets; Relations; Functions;
Identifications of sets (Bijections).
Elementary Functions (Polynomials, Trygonometric, Exponential,
Hyperbolic Trygonometric), their properties, their graphs, and
their inverses. Algebraic Functions.
- Applications of Elementary Functions in solving equations
and inequalities, and in sketching graphs of more complex (algebraic)
functions.
- Use of graphing calculators.
- Sequences; Limits of sequences.
- Limits; Continuity of functions.
- Derivatives and Applications of differentiation.
- Integration and its applications. Numerical Integration.
- Differential Equations.
- Polar Coordinates; Parametric Equations.
- Sequences of Partial Sums; Infinite Series. Taylor Series.