Quantitative Analysis Algebra with a Business Perspective
Publisher: Bookboon
Published: 2013
ISBN-13: 9788740304435
Table of contents: title: Equations, Inequalities & Linear Programming; title: Solve one-step equations in one variable.; title: Solve two-step equations in one variable.; title: Solve multi-step equations involving like-terms.; title: Solve multi-step equations involving parentheses.; title: Solve multi-step equations where the variable appears on each side of the equation.; title: Solve multi-step inequalities in one variable.; title: Graph the solution of multi-step equations or inequalities (in one variable) on a number line.; title: Graph a line that passes through two given points.; title: Graph a linear equation using its x- and y-intercepts.; title: Graph a linear equation (in slope-intercept form) using its slope and y-intercept; title: Graph a linear equation (in standard form) using its slope and y-intercept.; title: Determine the slope of a line passing through 2 points.; title: Use the slope-intercept formula to write the equation of a line with a given slope and point.; title: Use the point-slope formula to write the slope-intercept form of an equation of a line given its slope and a point.; title: Write the standard form of an equation of a line given its slope and a point.; title: Write the standard form of an equation of a line that passes through 2 given points.; title: Determine whether the lines for a pair of equations are parallel, perpendicular or coincide with each other.; title: Write the equation of a line through a given point that is parallel to a given line.; title: Write the equation of a line through a given point that is perpendicular to a given line.; title: Solve a system of linear equations by graphing; title: Solve a system of linear equations by substitution.; title: Solve a system of linear equations by elimination.; title: Solve a system of 3 equations in 3 variables.; title: Solve applications involving systems of equations.; title: Find the marginal cost, the marginal cost revenue and the marginal cost profit of given linear total cost functions, linear total revenue functions and linear profit functions.; title: Evaluate linear total cost functions, linear total revenue functions and linear profit functions.; title: Write the equations for linear total cost functions, linear total revenue functions and linear profit functions by using information given about the functions.; title: Find the break-even point for cost & revenue functions.; title: Evaluate and graph supply & demand functions.; title: Write the equation (in slope-intercept form) for a supply function and/or a demand function.; title: Determine the market equilibrium for a given scenario.; title: Graph a linear inequality in two variables.; title: Solve a system of linear inequalities in two variables.; title: Name the vertices for the feasible solution region for the given system of lineal inequalities.; title: Determine the optimal minimum or maximum value of a given linear functior that is subject to constraints as defined by the given system of inequalities.; title: Tutorial 1.36 Use graphing to determine the optimal maximum value of a linear function subject to constraints.; title: Tutorial 1.37 Use graphing to determine the optimal minimum value of a linear function subject to constraints.; title: Tutorial 1.38 Solve applications involving linear programming.; title: Matrices & Array Operations; title: Determine the number of rows or columns in a matrix.; title: Determine the order (dimensions) of a matrix.; title: Identify square matrices.; title: Identify the element (entry) at a given location; title: Determine a zero matrix with a given order.; title: Find the transpose of a matrix.; title: Determine the negative of a matrix.; title: Use matrices to present and interpret given data.; title: Add matrices.; title: Subtract matrices.; title: Use matrix addition and/or subtraction to solve real-world business applications.; title: Multiply a matrix by a scalar (real number).; title: Find the product of given matrices.; title: Complete matrix multiplication involving zero matrices.; title: Use matrix multiplication to solve real-world business applications.; title: Write the augmented matrix for a system of equations.; title: Use a reduced matrix to determine the solutions for a given system.; title: Use matrices to solve systems with unique solutions.; title: Use matrices to solve systems with non-unique solutions.; title: Find the inverse of a 2 x 2 square matrix.; title: Use 2 x 2 inverse matrices to solve systems of equations.; title: Use row operations to find the inverse of a square matrix.; title: Use N x N inverse matrices to solve systems of equations.; title: Use matrix inverses to solve real-world applications.; title: Use a computer spreadsheet to determine the number of rows and columns contained in a matrix and thereby determine the order of the matrix.; title: Use a computer to determine the transpose of a matrix.; title: Use a computer to determine the negative of a matrix.; title: Use a computer spreadsheet to add matrices.; title: Use a computer spreadsheet to subtract matrices.; title: Use a spreadsheet to complete a scalar multiplication.; title: Use a spreadsheet to complete a matrix multiplication.; title: Use a spreadsheet to solve systems of equations involving row operations.; title: Use a spreadsheet to determine the inverse of a matrix.; title: Use a spreadsheet to find the determinant of a matrix.; title: Use a spreadsheet to solve a system of equations involving inverse matrices.; title: Quadratic & Other Special Functions; title: Find the greatest common factor of a polynomial.; title: Factor a polynomial expression by grouping.; title: Factor a polynomial expression (x2 + bx + c) as a product of binomials.; title: Factor a polynomial expression (ax2 + bx + c) as a product of binomials.; title: Factor "special" polynomials through patterning.; title: Use factoring to complete business applications.; title: Solve quadratic equations by factoring.; title: Solve quadratic equations by completing the square.; title: Derive the quadratic formula by completing the square.; title: Solve quadratic equations using the quadratic formula.; title: Determine the number and the nature of the solutions for a quadratic equation.; title: Solve business applications involving quadratic functions.; title: For any quadratic function:; title: Use quadratic functions to find market equilibrium.; title: Use quadratic functions to find break-even point(s).; title: Maximize quadratic revenue and/or profit functions.; title: Minimize quadratic cost functions.; title: Use quadratic functions to solve real-world applications.; title: Identify the graphs of basic functions.; title: Mathematics of Finance; title: Find the amount of interest for a simple interest loan or investment.; title: Find the future value for a simple interest investment.; title: Find the amount that was invested into an account where simple interest is used.; title: Find the simple interest rate earned on an investment.; title: Find the time needed for an account with a simple interest rate to reach a desired future value.; title: Find the future value for an account that is compounded periodically.; title: Find the amount of interest earned for an account that is compounded periodically.; title: Find the amount that was invested into an account that is compounded periodically.; title: Find the interest rate for a periodically-compounded account.; title: Solve an exponential equation using logarithms.; title: Find the time needed for an account that is compounded periodically to reach a certain future value.; title: Find the future value for an account when interest is compounded continuously.; title: Find the amount that was invested into an account that is compounded continuously.; title: Find the interest rate for an account that is compounded continuously.; title: Find the time needed for an account that is compounded continuously to reach a specified amount.; title: Find the annual percentage yield (APY) of money in an account where the interest is compounded periodically.; title: Find the annual percentage yield (APY) of money in an account where the interest is compounded continuously.; title: Compute the future value of an ordinary annuity.; title: Compute the payment amounts required in order for an ordinary annuity to have a specified future value.; title: Find out how long it will take for an ordinary annuity to reach a savings goal.; title: Compute the future values of an annuity due.; title: Compute the payment amounts required in order for an annuity due to have specified future values.; title: Find out how long it will take for an annuity due to reach a savings goal.; title: Compute the present value of an ordinary annuity.; title: Compute the payments for a specified present value for an ordinary annuity.; title: Compute the present value of an annuity due.; title: Compute the payments for a specified present value for an annuity due.; title: Compute the present value of a deferred annuity.; title: Compute the payments for a specified present value for a deferred annuity.; title: Find the regular payments to amortize a debt.; title: Find the amount that can be borrowed for a specified payment.; title: Find the unpaid balance of a loan.; title: About the Author