College Algebra / ** Math 12 - 32189 - Fall 2008**

(Prof. Latham) **Course Syllabus**

The following is the list of problems covered in each chapter of the textbook

**Barnett/Ziegler/Byleen: College Algebra, 7th Ed. (McGraw-Hill)(*).**

**Completion through Chapter 1 (53 / 53 new items) **
Sep / 10 / 2008

alge013: Solving a linear equation with several occurrences of the variable :
Problem type 3

alge014: Solving a word problem using a linear equation: Problem type 1

alge020: Solving a linear inequality: Problem type 2

alge021: Solving a linear inequality: Problem type 3

alge024: Product rule of exponents

alge025: Power rule : Negative exponents

alge026: Quotients of expressions involving exponents

alge027: Power rule: Positive exponents

alge028: Product rule of exponents in a multivariate monomial

alge029: Simplifying a polynomial expression

alge030: Multiplying monomials

alge038: Factoring a multivariate polynomial by grouping: Problem type 1

alge040: Factoring a quadratic with leading coefficient greater than 1

alge041: Factoring a product of a quadratic trinomial and a monomial

alge042: Factoring with repeated use of the difference of squares formula

alge044: Factoring a sum or difference of two cubes

alge045: Finding the roots of a quadratic equation with leading coefficient 1

alge048: Finding the roots of a quadratic equation with leading coefficient
greater than 1

alge060: Solving a rational equation that simplifies to a linear equation:
Problem type 1

alge061: Solving a linear equation with several occurrences of the variable:
Problem type 2

alge076: Solving a system of linear equations

alge078: Solving a word problem using a system of linear equations: Problem type
1

alge080: Simplifying a radical expression : Problem type 1

alge084: Simplifying a sum of radical expressions

alge086: Rationalizing the denominator of a radical expression

alge088: Rationalizing the denominator of a radical expression using conjugates

alge089: Solving an equation with radicals: Problem type 1

alge173: Solving a word problem using a linear equation: Problem type 3

alge179: Solving a linear equation with several occurrences of the variable:
Problem type 5

alge180: Multiplying polynomials

alge194: Graphing a line given its equation in slope-intercept form

alge195: Graphing a line given its equation in standard form

alge196: Graphing a line through a given point with a given slope

alge198: Graphing a vertical or horizontal line

alge205: Solving a rational equation that simplifies to a linear equation:
Problem type 2

alge207: Solving a linear inequality: Problem type 4

alge209: Solving a linear equation with several occurrences of the variable:
Problem type 4

alge211: Solving a quadratic equation needing simplification

alge219: Solving a word problem using a linear equation: Problem type 2

alge249: Rational exponents: Powers of powers

alge250: Rational exponents: Basic

alge251: Rational exponents: Negative exponents and fractional bases

alge624: Factoring a difference of squares

alge631: Finding the slope of a line given its equation

alge637: Determining the slope of a line given its graph

alge640: Simplifying a product of radical expressions

alge681: Solving equations written in factored form

alge704: Solving a word problem using a linear equation: Problem type 4

alge705: Factoring a quadratic with leading coefficient 1

alge708: Polynomial long division: Linear divisor

alge710: Simplifying a ratio of polynomials: Problem type 1

scinot001: Converting between decimal numbers and numbers written in scientific
notation

scinot002: Multiplying and dividing numbers written in scientific notation

**Completion through Chapter 2 (30 / 83 new items)**
Sep / 24 / 2008

alge018: Graphing a linear inequality in the plane: Problem type 1

alge071: Writing the equation of a line given the slope and a point on the line

alge072: Writing the equation of the line through two given points

alge073: Writing the equations of vertical and horizontal lines through a given
point

alge091: Solving an equation with radicals: Problem type 3

alge094: Completing the square

alge095: Solving a quadratic equation using the quadratic formula

alge103: Solving an equation involving absolute value: Basic

alge167: Solving an equation involving absolute value: Advanced

alge169: Solving an inequality involving absolute value

alge170: Solving an inequality involving absolute value: Basic

alge182: Solving an equation with radicals: Problem type 4

alge184: Solving a word problem using a system of linear equations: Problem type
2

alge206: Solving a rational equation that simplifies to a linear equation:
Problem type 3

alge225: Graphing a linear inequality in the plane: Problem type 2

alge252: Graphing a parabola: Problem type 1

alge253: Graphing a parabola: Problem type 2

alge524: Solving a word problem using a quadratic equation with irrational roots

alge701: Writing equations and drawing graphs to fit a narrative

alge703: Solving a word problem using a quadratic equation with rational roots

alge707: Finding the discriminant of a quadratic equation

alge771: Solving a quadratic inequality

geom807: Slopes of parallel and perpendicular lines: Problem type 1

pcalc048: Adding and subtracting complex numbers

pcalc049: Multiplying complex numbers

pcalc050: Dividing complex numbers

pcalc051: Solving a quadratic equation with imaginary roots

pcalc053: Simplifying a power of i

set004: Set builder and interval notation

set005: Union and intersection of intervals

**Completion through Chapter 3 (26 / 109 new items)** Oct / 8 / 2008

alge127: Quotient of two functions

alge129: Composition of two functions: Advanced

alge130: Inverse functions: Advanced

alge132: Distance between two points in the plane

alge168: Graphing an equation involving absolute value in the plane

alge185: Vertical translation of the graph of a function

alge191: Midpoint of a line segment in the plane

alge254: Graphing a parabola: Problem type 3

alge255: Graphing a quadratic inequality

fun004: Domain and range: Problem type 2

fun010: Vertical line test

fun011: Horizontal line test

fun012: Inverse functions: Basic

fun016: Domain and range: Problem type 1

fun018: Introduction to functions: Notation and graphs

fun019: Sum, difference, and product of two functions

fun020: Vertical and horizontal translations of the graph of a function

fun021: Composition of two functions: Domain and range

fun022: Composition of two functions: Basic

fun023: Piecewise-defined functions

geom808: Slopes of parallel and perpendicular lines: Problem type 2

pcalc064: Graphing a circle given its equation in general form

pcalc065: Writing an equation of a circle given its center and a point on the
circle

pcalc066: Writing an equation of a circle given the endpoints of a diameter

pcalc114: Even and odd functions

pcalc605: Graphing a circle given its equation in standard form

**Completion through Chapter 4 (16 / 125 new items)** Oct / 22 / 2008

alge709: Polynomial long division: Quadratic divisor

pcalc092: Partial fraction decomposition

pcalc108: Sketching the graph of a rational function: Problem type 1

pcalc109: Sketching the graph of a rational function: Problem type 2

pcalc115: Solving a word problem by finding a local extremum of a polynomial
function

pcalc117: Synthetic division

pcalc118: Remainder theorem

pcalc123: Using a given zero to write a polynomial as a product of linear
factors

pcalc700: Finding a polynomial of a given degree with given zeros

pcalc701: Finding all potential zeros of a polynomial given by the rational
zeros theorem

pcalc702: Using the rational zeros theorem to find zeros of a polynomial

pcalc703: Using the conjugate zeros theorem to find all zeros of a polynomial

pcalc704: Solving a word problem involving a polynomial of degree 3

pcalc705: N zeros theorem and conjugate zeros theorem

pcalc706: Choosing the form of a rational function given its graph

pcalc738: Inferring properties of a polynomial function from its graph

**Completion through Chapter 5 (15 / 140 new items)** Oct / 29 / 2008

alge107: Change of base for logarithms

alge108: Exponential and logarithmic equations

alge111: Solving an exponential equation: Problem type 1

alge112: Solving an exponential equation: Problem type 2

alge113: Solving a logarithmic equation: Problem type 2

alge177: Solving a word problem using an exponential equation: Problem type 1

alge178: Solving a word problem using an exponential equation: Problem type 2

alge232: Evaluating a logarithmic expression

alge233: Solving a logarithmic equation: Problem type 1

alge712: Sketching the graph of an exponential function: Basic

pcalc102: Translating the graph of a logarithmic or exponential function

pcalc103: Sketching the graph of an exponential function: Advanced

pcalc104: Sketching the graph of a logarithmic function

pcalc708: Basic properties of logarithms

pcalc737: Solving a word problem using an exponential equation: Problem type 3

**Completion through Chapter 6 (13 / 153 new items)** Nov / 5 / 2008

alge075: Classifying a system of linear equations

alge077: Creating an inconsistent system of linear equations

alge079: Graphing a system of linear inequalities

alge172: Solving a word problem using a system of linear equations: Problem type
5

alge192: Solving a word problem using a system of linear equations: Problem type
4

alge224: Solving a word problem using a system of linear equations: Problem type
3

pcalc093: Solving a word problem using a system of linear inequalities

pcalc094: Solving a word problem using linear programming

pcalc095: Linear programming

pcalc098: Solving a system of nonlinear equations

pcalc099: Consistency and independence of a system of linear equations

pcalc709: Addition of matrices and multiplication of a matrix by a scalar

pcalc712: Gauss-Jordan elimination with a 2x2 matrix

**Completion through Chapter 7 (10 / 163 new items)** Nov / 12 / 2008

pcalc039: Multiplication of matrices: Basic

pcalc040: Finding the inverse of a 2x2 matrix

pcalc041: Finding the inverse of a 3x3 matrix

pcalc042: Finding the determinant of a 2x2 matrix

pcalc043: Finding the determinant of a 3x3 matrix

pcalc045: Cramer's rule: Problem type 1

pcalc046: Augmented matrix and solution set of a system of linear equations

pcalc047: Cramer's rule: Problem type 2

pcalc710: Multiplication of matrices: Advanced

pcalc711: Using the inverse of a matrix to solve a system of linear equations

**Completion through Chapter 8 (12 / 175 new items)** Nov / 19 / 2008

pcalc080: Finding the first terms of a sequence

pcalc082: Factorial expressions

pcalc087: Binomial formula

pcalc088: Permutations and combinations: Problem type 1

pcalc089: Permutations and combinations: Problem type 2

pcalc090: Permutations and combinations: Problem type 3

pcalc713: Arithmetic and geometric sequences: Identifying and writing in
standard form

pcalc715: Arithmetic sequences

pcalc717: Geometric sequences

pcalc718: Sum of the first n terms of an arithmetic sequence

pcalc719: Sum of the first n terms of a geometric sequence

pcalc720: Sum of a geometric series

**Completion through Chapter 9 (15 / 190 new items)**
Dec / 1 / 2008

pcalc067: Graphing a parabola with a horizontal or a vertical axis

pcalc068: Writing an equation of a parabola given the vertex and the focus

pcalc069: Finding the focus of a parabola

pcalc071: Graphing an ellipse given its equation in general form

pcalc072: Finding the foci of an ellipse

pcalc073: Writing an equation of an ellipse given the foci and the major axis
length

pcalc074: Writing an equation of an ellipse given the center, an endpoint of an
axis, and

the length of the other axis

pcalc076: Graphing a hyperbola given its equation in general form

pcalc077: Finding the foci of a hyperbola

pcalc078: Writing an equation of a hyperbola given the foci and the vertices

pcalc079: Writing an equation of a hyperbola given the foci and the asymptotes

pcalc096: Graphing a system of nonlinear inequalities: Problem type 1

pcalc734: Graphing an ellipse given its equation in standard form

pcalc735: Graphing a hyperbola given its equation in standard form

pcalc736: Classifying conics given their equations

(*) References to any part of any textbook are for identification purposes only.
No

implication is intended that ALEKS Corporation is endorsing any textbook, or
that any

textbook author or publisher is endorsing ALEKS. ALEKS Corporation is solely

responsible for the development, selection, and sequencing of all ALEKS content.