Assignments

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]

Assignment #3
[
1.4: Equations with more than one variable, list of common formulas]

Assignment #4
[
1.5: Problem solving using algebraic models, writing and using formulas]

Assignment #5
[
1.6: Solving linear inequalities, transformations that produce equivalent inequalities, graphing linear inequalities, compound inequalities, use of "and" and "or"]

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]