SYLLABUS: MTH 05 Elementary Algebra (0 credits, 6
hours)
TEXT: Lecture Notes for MTH 05, by Andrew
McInerney
(http://fsw01.bcc.cuny.edu/mathdepartment/Courses/Math/MTH05/05text0916a.pdf)
PREREQUISITE: MTH 01 or equivalent and
RDL 01 if required. CO-REQUISITE: RDL 02 if required
Learning Objectives: Proficiency in
operations with signed numbers, and in the solution and graphical
representation of linear equations.
Proficiency in polynomial operations, factoring, and the
solution and graphical representation of quadratic equations.
Proficiency in operations involving integer exponents and
the manipulation of radical expressions.
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Section
/ Topic
Exercises |
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Preparing
for Algebra (12 hours) |
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I.1
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A
Review of Fractions |
p.4 1--5 p.16 1--6 |
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2.1 |
Signed
Numbers |
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2.2
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Graphing
signed numbers |
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2.3 2.4 |
Adding
and subtracting signed numbers Multiplying
and dividing signed numbers |
p.28 1--15 p.31 1--6 |
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2.5 3.1 3.2 3.3 3.4
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Exponents
and roots with signed numbers The
order of operations Algebraic
expressions Evaluating
algebraic expressions Translating
algebraic expressions |
p.32 1--5 p.39 1--8 p.43 1--10 p.46 1—8 |
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Linear statements in
one variable (12 hours) |
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4.1 |
Algebraic
statements and solutions |
p.55 1--15 |
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4.2 |
Solving
linear equations |
p.67 1—12, 11—16 (note numbering) |
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4.3 |
ÒSolvingÓ
literal equations |
p.71 1—5 |
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4.4 |
Solving
linear inequalities |
p.82 1—6 |
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Linear statements in
two variables (12 hours) |
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5.1 |
Solving
linear equations in two variables |
p.94 1—8 |
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5.2 |
Slope
and the geometry of lines |
p.114 1—11 |
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5.3 |
Solving
linear inequalities in two variables |
p.124 1—6 |
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5.4 |
Solving
systems of linear equations |
p.135 1—8 |
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Polynomials (8 hours) |
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6.1 |
Introduction
to polynomials |
p.143 1—8 |
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6.2 |
Adding
and subtracting polynomials |
p.148 1—7 |
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6.3 |
Properties
of exponents |
p.155 1—8 |
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6.4 |
Scientific
notation |
p.159 1—12 |
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6.5 |
Multiplying
Polynomials |
p.164 1—12 |
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6.6 |
Dividing
Polynomials (by Monomials only) |
p.167 1—5 |
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Factoring (10 hours) |
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7.1 |
An
Introduction to Factoring |
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7.2 |
ÒFactoring
outÓ the GCF |
p.176 1—6 |
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7.3 |
Differences
of squares |
p.179 1—14 |
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7.4 |
Quadratic
trinomials I. Monic trinomials |
p.184 1—15 |
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7.5 7.6 |
Quadratic
trinomials II. The ac-method Factoring
by grouping |
p.191 1--10 p.195 1—6 |
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Radicals expressions
(8 hours) |
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8.1 |
Quadratic
equations |
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8.2 |
Radical
expressions |
p.209 1—15 |
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8.3 |
Introduction
to complex numbers |
p.213 1—6 |
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8.4 |
Arithmetic
of radical expressions |
p.218 1—16 |
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Quadratic Functions
(10 hours) |
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9.1 |
Solving
Quadratic Equations I. |
p.228 1—11 |
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9.2 |
Solving
quadratic equations II. Completing the square |
p.234 1—10 |
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9.3 9.4 9.5 9.6 |
Solving
quadratic equations III. The quadratic formula Solving
quadratic equations IV. Factoring Summary
and applications Quadratic
equation in two variables and parabolas |
p.239 1--10 p.242 1--10 p.248 1--19 p.255 1—6 |
August
2016 AM