Pre-calculus B.Sc. (Business & Management)
Moscow University TOURO Prof. Andrey Egorov
This course presents basic notions of elementary mathematics and linear algebra with applications to
ERNEST F. HAEUSSLER, JR., RICHARD S. PAUL
INTRODUCTORY MATHEMATICAL ANALYSIS FOR BUSINESS,
ECONOMICS AND THE LIFE AND SOCIAL SCIENCES. TENTH EDITION.
Attendance and behavior at lectures, performance of home tasks, results of quizzes will count for 50% of
the final mark. The examination will count 50% of the final mark. If the attendance is not good enough,
the examination will count 90% of the final mark.
Arithmetic of natural, integer and rational numbers.
The real axis.
Linear equations and their geometric interpretation.
System of linear equations with two unknowns.
Vectors on a plane.
Matrixes 2x2 as operators.
Matrix form of a system.
Eigenvalues and eigenvectors.
Their algebraic and trigonometric form.
Formulas of trigonometry.
Analytic geometry in a plane. Scalar product.
The fundamental theorem of algebra.
Equations of the third degree.
Systems with 3x3 matrixes. Determinants.
Vector product. Analytic geometry in space.
Markov chains. Ergodicity. Exponent.
Logarithms and their properties. Applications.
Gauss method and elimination of variables.
Nonlinear systems and algebraic geometry.
Solving problems. Demonstrations in Excel and Maple.