Assignments
Assignment #1
[1.7: Solving equations and inequalities involving absolute value, definition of absolute value, interpretation of absolute value inequalities]
[2.1: Functions and their graphs, domain, range, vertical line test, independent variable, dependent variable]
[2.2: Slope and rate of change, relation of slopes of parallel lines, relation of slopes of perpendicular lines]
[2.3: Graphs of linear equations, y-intercept, slope-intercept form of a linear equation, horizontal and vertical lines]
[2.4: Writing equations of lines, slope-intercept form, point-slope form, direct variation, constant of variation]
[2.5: Linear correlation, scatter plots, positive correlation, negative correlation, fitting a line to data]
[2.5: Working with calculator to produce scatterplots and least-square regression lines]
[2.6: Graphing linear inequalities, half-planes, constructing boundaries for solution sets]
[2.7: Piecewise functions, step function, greatest integer function]
[2.8: Absolute value functions, definition of absolute value, characteristics of absolute value functions]
[3.1: Solving linear systems by graphing, systems of 2 linear equations with 2 unknowns]
[3.2: Solving linear systems algebraically, substitution method, linear combination method]
[3.3: Graphing and solving systems of linear inequalities]
[3.4: Linear programming, optimization, constraints, feasible region]
[3.4: Working with linear programming concepts]
[3.6: Solving systems of linear equations in three variables, recognition that a linear equation in three variables represents a plane]
[4.1: Matrix, dimensions of a matrix, equal matrices, properties of matrix operations]
[4.2: Multiplying matrices, properties of matrix multiplication]
[4.5: Solving systems using inverse matrices, matrix of variables, matrix of constants]
[5.1: Graphing quadratic functions, parabola, vertex, axis of symmetry, standard form for parabola, vertex form for parabola, intercept form for parabola]
[5.2: Solving quadratic equations by factoring, binomial, trinomial, monomial, zero product property]
[5.3: Solving quadratic equations by finding square roots, radical, properties of square roots, rationalizing the denominator]
[5.4: Complex numbers, the complex number
[5.5: Solving quadratic equations by completing the square]
[5.6: Discriminant of a quadratic equation, use of discriminant to determine the nature of the roots of a quadratic equation]
[5.7: Graphing and solving quadratic inequalities, quadratic inequalities in one variable, quadratic inequalities in two variables]
[5.7: Working with ideas and concepts from Section 5.7. TI-83 program for solving quadratic equations]
[5.8: Working with quadratic functions, fitting quadratic model to data]
[5.8: Fitting a quadratic model to data]
5.8: Working with ideas and concepts from Chapter 5. Review problems handed out in class]
[6.1: Properties of exponents, scientific notation]
[6.2: Evaluating and graphing polynomial functions, definition of polynomial function, synthetic substitution]
[6.4: Factoring and solving polynomial equations, sum and difference of cubes, factoring by grouping]
6:4: Review of Chapter 6 ideas and concepts covered to date.
[6.8: Analyzing graphs of polynomial functions, local maximum, local minimum, turning points of polynomial functions]
[6.9: Modeling with polynomial functions, fitting polynomials to data]
[6.9: Review Chapter 6 materials, including fitting polynomial models to data]
[6.9: Review problems for ideas and concepts covered in course to date]
[6.9: Review problems for ideas and concepts covered in course to date]
[7.1: N th roots and rational exponents, index of a radical, definition of rational exponents]
[7.2: Properties of rational exponents]
[7.2: Review of ideas and concepts covered in Chapter 7 to date]
[7.3: Power functions and function operations, definition of power function, composition of functions]
[7.3: Review of ideas and concepts in Section 7.3]
[7.4: Inverse functions, inverse relations, definition of inverse as it applies to functions]
[7.4: Review of concepts and ideas in Section 7.4]
[7.5: Graphing radical functions, square root functions, cube root functions]
[ Solving radical equations, extraneous solutions]
[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]
[7.7: Review ideas and concepts in Section 7.7]
[8.1: Exponential growth, graphing exponential growth functions, base of exponential function, asymptote, growth factor, compound interest]
[8.1: Review ideas and concepts in Section 8.1]
[8.2: Exponential decay, graphing exponential decay functions, decay factor]
[8.3: The number e, the natural base e, use of e in real life]
[8.4: Logarithmic functions, logarithm of y with base b, graphs of logarithmic functions]
[8.5: Properties of logarithms, change-of-base formula]
[8.6: Solving exponential and logarithmic equations, extraneous solutions]
[8.6: Review ideas and concepts studied in Chapter 8 to date]
[8.7: Modeling with exponential and power functions using TI-83 graphics calculator]
[8.7: Review ideas and concepts studied in Chapter 8]
[9.1: Inverse and joint variation, constant of variation]
[9.2: Graphing simple rational functions, hyperbola, asymptotes]
[9.2: Review ideas and concepts in Section 9.2]
[9.6: Solving rational equations, cross multiplication]
[11.3: Geometric sequences and series. n th term of a geometric sequence, sum of n terms in a geometric sequence]
[11.3: Review ideas and concepts in Section 11.3]
[11.3: Review ideas and concepts relating to geometric series and sequences, investment problems]
[11.3: Investment problems using geometric series and sequences]
[12.1: Fundamental counting principal and permutations, tree diagram, permutations of n objects taken r at a time.
[12.1: Review of concepts and ideas in Section 12.1, introduction of nCr]
[12.2: Combinations and the Binomial Theorem, combinations of n objects taken r at a time, Pascal's Triangle]
[12.3: Theoretical and experimental probability, geometrical probability, random numbers]
[12.4: Probability of compound events, unions and intersections, mutually exclusive events, complement of an event]
[12.5: Probability of independent events, probability of dependent events]
[12.6: Binomial distributions, binomial probability, symmetric distribution, skewed distribution, hypothesis testing]
[12.6: Review concepts and ideas from Section 12.6]
[12.6: Review, and problems relating to binomial setting]
[13.1: Right triangle trigonometry, sine, cosine, tangent, cosecant, secant, cotangent, solving a right triangle, angle of elevation, angle of depression]
[13.1: Review ideas and concepts from Section 13.1]
[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]
[13.3: Trigonometric functions of any angle, extended definition of trig functions, reference angle]
[13.3: Review concepts and ideas from Section 13.3]
[13.4: Inverse trigonometric functions, sin^{-1}, cos^{-1}, tan^{-1}]
[13.5: Law of Sines, various cases (AAS, ASA, SSA), area of a triangle]
[13.6: Law of Cosines, Heron's Formula]
[13.6: Review of Law of Sines and Law of Cosines] |