Skills from previous math classes that you need to self-review for Math 1B
From Algebra:
Quadratic functions
Graphing
Factoring
Quadratic formula
Discriminant & its uses (roots, intercepts, factoring into reals, factoring into rationals)
Completing the square
Negative and fractional exponents
Graphs of systems of inequalities
Rational expressions
Add / subtract
Polynomial long division
From Geometry:
Areas
Triangles / parallelograms / trapezoids / circles / sectors
Similarity
From Trigonometry:
Sine / cosine / tangent of special angles on unit circle
Inverse sine / cosine / tangent of special values
Pythagorean / reciprocal / quotient / negative angle / co-function identities
Double angle / sum & difference of angles identities
From Precalculus:
Graphs of basic functions (domain, range, intercepts, asymptotes, long run behavior)
Power
n
x
y
=
(
n
could be positive or negative, even or odd or reciprocal of integer)
Exponential
x
b
y
=
(
b
could be greater than or less than 1)
Logarithmic
x
y
b
log
=
(
b
could be greater than or less than 1)
Trigonometric
x
y
sin
=
,
x
y
cos
=
,
x
y
tan
=
,
x
y
csc
=
,
x
y
sec
=
or
x
y
cot
=
Inverse trigonometric
x
y
1
sin
−
=
,
x
y
1
cos
−
=
or
x
y
1
tan
−
=
Graphs of basic conics
Circles / ellipses / parabolas
Single step transformations of functions & graphs (relationship between algebraic & graphical transformations)
Horizontal / vertical
Shift / reflect / stretch & compress
Symmetry of functions & graphs (relationship between algebraic & graphical symmetry)
Even / odd
Sigma notation for series

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- Fall '10
- Njnimbam
- Trigonometry, lim, y2