Assignment #1 [1.1 and 1.2: Subsets of the real numbers, properties of addition and multiplication, base, exponent, power, order of operations, variable, terms, coefficient, equivalent algebraic expressions] |
Assignment #2 [1.3: Linear equation, solution of an equation, transformations that produce equivalent equations]
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Assignment #3 [1.4: Equations with more than one variable, list of common formulas]
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Assignment #4 [1.5: Problem solving using algebraic models, writing and using formulas]
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Assignment #5 [1.6: Solving linear inequalities, transformations that produce equivalent inequalities, graphing linear inequalities, compound inequalities, use of "and" and "or"]
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Assignment #6
[1.7: Solving equations and inequalities involving absolute value, definition of absolute value, interpretation of absolute value inequalities] |
Assignment #7
[2.1: Functions and their graphs, domain, range, vertical line test, independent variable, dependent variable] |
Assignment #8
[2.2: Slope and rate of change, relation of slopes of parallel lines, relation of slopes of perpendicular lines] |
Assignment #9
[2.3: Graphs of linear equations, y-intercept, slope-intercept form of a linear equation, horizontal and vertical lines] |
Assignment #10
[2.4: Writing equations of lines, slope-intercept form, point-slope form, direct variation, constant of variation] |
Assignment #11
[2.5: Linear correlation, scatter plots, positive correlation, negative correlation, fitting a line to data] |
Assignment #12
[2.5: Working with calculator to produce scatterplots and least-square regression lines] |
Assignment #13
[2.6: Graphing linear inequalities, half-planes, constructing boundaries for solution sets] |
Assignment #14
[2.7: Piecewise functions, step function, greatest integer function] |
Assignment #15
[2.8: Absolute value functions, definition of absolute value, characteristics of absolute value functions] |
Assignment #16
[3.1: Solving linear systems by graphing, systems of 2 linear equations with 2 unknowns] |
Assignment #17
[3.2: Solving linear systems algebraically, substitution method, linear combination method] |
Assignment #18
[3.3: Graphing and solving systems of linear inequalities] |
Assignment #19
[3.4: Linear programming, optimization, constraints, feasible region] |
Assignment #20
[3.4: Working with linear programming concepts] |
Assignment #21
[3.6: Solving systems of linear equations in three variables, recognition that a linear equation in three variables represents a plane] |
Assignment #22
[4.1: Matrix, dimensions of a matrix, equal matrices, properties of matrix operations] |
Assignment #23
[4.2: Multiplying matrices, properties of matrix multiplication] |
Assignment #24
[4.5: Solving systems using inverse matrices, matrix of variables, matrix of constants] |
Assignment #25
[5.1: Graphing quadratic functions, parabola, vertex, axis of symmetry, standard form for parabola, vertex form for parabola, intercept form for parabola] |
Assignment #26
[5.2: Solving quadratic equations by factoring, binomial, trinomial, monomial, zero product property] |
Assignment #27
[5.3: Solving quadratic equations by finding square roots, radical, properties of square roots, rationalizing the denominator] |
Assignment #28
[5.4: Complex numbers, the complex number i = ÷(-1), imaginary unit, the form a+bi, complex number plane, operations on complex numbers, conjugate of a complex number, absolute value of a complex number] |
Assignment #29
[5.5: Solving quadratic equations by completing the square] |
Assignment #30
[5.6: Discriminant of a quadratic equation, use of discriminant to determine the nature of the roots of a quadratic equation] |
Assignment #31
[5.7: Graphing and solving quadratic inequalities, quadratic inequalities in one variable, quadratic inequalities in two variables] |
Assignment #32
[5.7: Working with ideas and concepts from Section 5.7. TI-83 program for solving quadratic equations] |
Assignment #33
[5.8: Working with quadratic functions, fitting quadratic model to data] |
Assignment #34
[5.8: Fitting a quadratic model to data] |
Assignment #35
5.8: Working with ideas and concepts from Chapter 5. Review problems handed out in class] |
Assignment #36
[6.1: Properties of exponents, scientific notation] |
Assignment #37
[6.2: Evaluating and graphing polynomial functions, definition of polynomial function, synthetic substitution] |
Assignment #38
[6.4: Factoring and solving polynomial equations, sum and difference of cubes, factoring by grouping] |
Assignment #39
6:4: Review of Chapter 6 ideas and concepts covered to date. |
Assignment #40
[6.8: Analyzing graphs of polynomial functions, local maximum, local minimum, turning points of polynomial functions] |
Assignment #41
[6.9: Modeling with polynomial functions, fitting polynomials to data] |
Assignment #42
[6.9: Review Chapter 6 materials, including fitting polynomial models to data] |
Assignment #43
[6.9: Review problems for ideas and concepts covered in course to date] |
Assignment #44
[6.9: Review problems for ideas and concepts covered in course to date] |
Assignment #45
[7.1: N th roots and rational exponents, index of a radical, definition of rational exponents] |
Assignment #46
[7.2: Properties of rational exponents] |
Assignment #47
[7.2: Review of ideas and concepts covered in Chapter 7 to date] |
Assignment #48
[7.3: Power functions and function operations, definition of power function, composition of functions] |
Assignment #49
[7.3: Review of ideas and concepts in Section 7.3] |
Assignment #50
[7.4: Inverse functions, inverse relations, definition of inverse as it applies to functions] |
Assignment #51
[7.4: Review of concepts and ideas in Section 7.4] |
Assignment #52
[7.5: Graphing radical functions, square root functions, cube root functions] |
Assignment #53
[ Solving radical equations, extraneous solutions] |
Assignment #54
[7.7: Statistics and statistical graphs, measures of central tendency, mean, median, mode, standard deviation, box-and-whisker plot, lower quartile, upper quartile, histogram, frequency distribution] |
Assignment #55
[7.7: Review ideas and concepts in Section 7.7] |
Assignment #56
[8.1: Exponential growth, graphing exponential growth functions, base of exponential function, asymptote, growth factor, compound interest] |
Assignment #57
[8.1: Review ideas and concepts in Section 8.1] |
Assignment #58
[8.2: Exponential decay, graphing exponential decay functions, decay factor] |
Assignment #59
[8.3: The number e, the natural base e, use of e in real life] |
Assignment #60
[8.4: Logarithmic functions, logarithm of y with base b, graphs of logarithmic functions] |
Assignment #61
[8.5: Properties of logarithms, change-of-base formula] |
Assignment #62
[8.6: Solving exponential and logarithmic equations, extraneous solutions] |
Assignment #63
[8.6: Review ideas and concepts studied in Chapter 8 to date] |
Assignment #64
[8.7: Modeling with exponential and power functions using TI-83 graphics calculator] |
Assignment #65
[8.7: Review ideas and concepts studied in Chapter 8] |
Assignment #66
[9.1: Inverse and joint variation, constant of variation] |
Assignment #67
[9.2: Graphing simple rational functions, hyperbola, asymptotes] |
Assignment #68
[9.2: Review ideas and concepts in Section 9.2] |
Assignment #69
[9.6: Solving rational equations, cross multiplication] |
Assignment #70
[11.3: Geometric sequences and series. n th term of a geometric sequence, sum of n terms in a geometric sequence] |
Assignment #71
[11.3: Review ideas and concepts in Section 11.3] |
Assignment #72
[11.3: Review ideas and concepts relating to geometric series and sequences, investment problems] |
Assignment #73
[11.3: Investment problems using geometric series and sequences] |
Assignment #74
[12.1: Fundamental counting principal and permutations, tree diagram, permutations of n objects taken r at a time. |
Assignment #75
[12.1: Review of concepts and ideas in Section 12.1, introduction of nCr] |
Assignment #76
[12.2: Combinations and the Binomial Theorem, combinations of n objects taken r at a time, Pascal's Triangle] |
Assignment #77
[12.3: Theoretical and experimental probability, geometrical probability, random numbers] |
Assignment #78
[12.4: Probability of compound events, unions and intersections, mutually exclusive events, complement of an event] |
Assignment #79
[12.5: Probability of independent events, probability of dependent events] |
Assignment #80
[12.6: Binomial distributions, binomial probability, symmetric distribution, skewed distribution, hypothesis testing] |
Assignment #81
[12.6: Review concepts and ideas from Section 12.6] |
Assignment #82
[12.6: Review, and problems relating to binomial setting] |
Assignment #83
[13.1: Right triangle trigonometry, sine, cosine, tangent, cosecant, secant, cotangent, solving a right triangle, angle of elevation, angle of depression] |
Assignment #84
[13.1: Review ideas and concepts from Section 13.1] |
Assignment #85
[13.2: Central angles, radian measure, initial side, terminal side, standard position, coterminal angles, conversion between degrees and radians, arc length of a sector, area of a sector] |
Assignment #86
[13.3: Trigonometric functions of any angle, extended definition of trig functions, reference angle] |
Assignment #87
[13.3: Review concepts and ideas from Section 13.3] |
Assignment #88
[13.4: Inverse trigonometric functions, sin-1, cos-1, tan-1] |
Assignment #89
[13.5: Law of Sines, various cases (AAS, ASA, SSA), area of a triangle] |
Assignment #90
[13.6: Law of Cosines, Heron's Formula] |
Assignment #91
[13.6: Review of Law of Sines and Law of Cosines] |
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