DE 061 Intermediate Algebra

I. Review Factoring

A. Factoring trinomials.

B. Solving quadratic equations by factoring.

C. Applications of quadratic equations.

II. Rational Expressions

A. The fundamental property of rational expressions.

B. Multiplication and division of rational expressions.

C. Addition and subtraction of rational expressions.

D. Complex fractions.

E. Equations involving rational expressions.

F. Applications of rational expressions.

III. Roots and Radicals

A. Finding roots.

B. Multiplication and division of radicals.

C. Addition and subtraction of radicals.

D. Rationalizing the denominator.

E. Simplifying radical expressions

F. Equations with radicals.

G. Complex numbers.

IV. Quadratic Equations and Inequalities

A. Solving quadratic equations by the square root property

B. Solving quadratic equations by completing the square.

C. Solving quadratic equations by the quadratic formula.

D. Equations quadratic in form.

E. Formulas and applications involving quadratic equations.

*F. Nonlinear and fractional inequalities.

V. Graphs of Nonlinear Functions and Conic Sections

A. Graphs of quadratic functions.

B. Graphs of elementary functions and circles.

*C. Graphs of ellipses and hyperbolas.

VI. Exponential and Logarithmic Functions

A. Inverse functions.

B. Exponential functions.

C. Logarithmic functions.