MATH141

Know and correctly apply properties of exponents, radicals, and logarithms in performing operations or simplifying

Correctly perform operations involving rational expressions and simplify completely

Know how to find and interpret the equation of a circle

Know how to divide one polynomial by another

Understand complex numbers

Know all important properties (including domain/range) and graphs of the following function types: polynomial, rational, exponential, logarithmic, trigonometric, and functions involving radicals. Understand how to use these types of functions in applied problems. Solve equations or inequalities involving these types of functions

Understand function transformations, combinations and inverses

Understand piecewise-defined functions

Know basic trig identities and verify other given trig identities

Understand polar coordinates and parametric equations

Understand vectors and vector operations (including addition, subtraction, scalar multiplication, dot product, and cross product), and be able to use vectors in applied problems

Understand sequences and series in general, with a thorough knowledge of arithmetic and geometric sequences and sums

Solve systems of equations involving two or more variables. Know how to perform partial fraction decomposition