Program Guide - Department of Human Resources, Labour and ...

IM 3219
Advanced Algebra III
1. Polynomials
1.1 State general expression of a polynomial and identify various terms relating to
a polynomial.
1.2 Find zeros of a polynomial.
1.3 Find all roots, real and imaginary, of a polynomial equation.
1.4 State Remainder Theorem and Factor Theorem.
1.5 Apply Remainder Theorem to determine remainder of a polynomial.
1.6 Determine if a polynomial has a particular factor using Factor Theorem.
1.7 Use Synthetic Division to divide a polynomial by a monomial.
1.8 Graph the following polynomial functions: quadratic, cubic, quantic, quintic.
1.9 Solve higher order equations.
1.10 State Fundamental Theorem of Algebra and other general theorems and
apply these theorems to obtain general results about polynomial
equations.
2. Transcendental Functions
2.1 State laws of exponents, integral and rational.
2.2 Use laws of exponents to simplify expressions.
2.3 State laws of logarithms.
2.4 Use laws of logarithms to express logarithms as a single logarithm or a
rational number.
2.5 Evaluate exponential functions of the form f(x)=ab x .
2.6 Graph logarithms and exponential functions stating range and domain.
2.7 Solve exponential and logarithmic equations.
2.8 Solve exponential growth and decay problems.
3. Conic Sections
3.1 Define circle.
3.2 Sketch and graph a circle, given centre and radius.
3.3 Write the equation of a circle in standard and general form, and change
between these forms.
3.4 Define parabola.
3.5 Determine intersection of circle/line and circle/circle.
3.6 Sketch graph of a parabola with center at origin showing directrix, focus,
vertex, and one other point of accuracy.
3.7 Sketch graph of a parabola with center at (h,k) showing directrix, focus,
vertex, and one other point for accuracy.
3.8 Define ellipse.
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ABE Level III Curriculum