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College Algebra Course Syllabus

College Algebra / Math 12 - 32189 - Fall 2008
(Prof. Latham)  Course Syllabus

The fol lowing 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

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