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Algebra 1
A course covering the number systems, polynomials, algebraic fractions, exponents and radicals, algebraic functions and their graphs, equations, systems of equations including graphical solution of systems of equations, linear inequalities, quadratic inequalities and introduction to matrices and determinants.
Trigonometry
A course including polynomial functions, exponential and logarithmic functions, circular functions, trigonometric identifies and equations, complex numbers, law of sines, law of cosines and solution of triangles.
Mathematical Analysis 1
A first course in Analysis covering plane analytic geometry, limits and continuity, derivatives of algebraic functions, and their applications.
Mathematical Analysis 2
A continuation of Mathematical Analysis 1, covering differentials, indefinite and definite integrals and their applications, derivatives and integrals of logarithmic and exponential functions, trigonometric and inverse trigonometric functions, and techniques of integration.
Mathematical Analysis 3
A continuation of Mathematical Analysis 2, covering polar coordinates, indeterminate forms and improper integrals, infinite sequences and series, 3-dimensional space, quadric surfaces, functions of several variables and evaluation of multiple integrals in Cartesian coordinates.
Mathematical Analysis 4
A continuation of Analysis 3, covering vectors in the plane and 3-dimensional space, directional derivatives and gradients, application of partial derivatives to extrema of functions of several variables, evaluation of multiple integrals in spherical and cylindrical coordinates and their applications.
Differential Equations
A course in the solution of first order differential equations, and higher order differential equations, laplace transforms, power series method and boundary value problems. |