Quantitative Analysis Algebra with a Business Perspective
Publisher: Bookboon.com
Published: 2013
ISBN-13: 9788740304435
Table of contents: title: Content; title: 1. Equations, Inequalities & Linear Programming; title: 1.1. Solve one-step equations in one variable.; title: 1.2. Solve two-step equations in one variable.; title: 1.3. Solve multi-step equations involving like-terms.; title: 1.4. Solve multi-step equations involving parentheses.; title: 1.5. Solve multi-step equations where the variable appears on each side of the equation.; title: 1.6. Solve multi-step inequalities in one variable.; title: 1.7. Graph the solution of multi-step equations or inequalities (in one variable) on a number line.; title: 1.8. Graph a line that passes through two given points.; title: 1.9. Graph a linear equation using its x- and y-intercepts.; title: 1.10. Graph a linear equation (in slope-intercept form) using its slope and y-intercept; title: 1.11. Graph a linear equation (in standard form) using its slope and y-intercept.; title: 1.12. Determine the slope of a line passing through 2 points.; title: 1.13. Use the slope-intercept formula to write the equation of a line with a given slope and point.; title: 1.14. Use the point-slope formula to write the slope-intercept form of an equation of a line given its slope and a point.; title: 1.15. Write the standard form of an equation of a line given its slope and a point.; title: 1.16. Write the standard form of an equation of a line that passes through 2 given points.; title: 1.17. Determine whether the lines for a pair of equations are parallel, perpendicular or coincide with each other.; title: 1.18. Write the equation of a line through a given point that is parallel to a given line.; title: 1.19. Write the equation of a line through a given point that is perpendicular to a given line.; title: 1.20. Solve a system of linear equations by graphing; title: 1.21. Solve a system of linear equations by substitution.; title: 1.22. Solve a system of linear equations by elimination.; title: 1.23. Solve a system of 3 equations in 3 variables.; title: 1.24. Solve applications involving systems of equations.; title: 1.25. 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: 1.26. Evaluate linear total cost functions, linear total revenue functions and linear profit functions.; title: 1.27. Write the equations for linear total cost functions, linear total revenue functions and linear profit functions by using information given about the functions.; title: 1.28. Find the break-even point for cost & revenue functions.; title: 1.29. Evaluate and graph supply & demand functions.; title: 1.30. Write the equation (in slope-intercept form) for a supply function and/or a demand function.; title: 1.31. Determine the market equilibrium for a given scenario.; title: 1.32. Graph a linear inequality in two variables.; title: 1.33. Solve a system of linear inequalities in two variables.; title: 1.34. Name the vertices for the feasible solution region for the given system of lineal inequalities.; title: 1.35. 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: 1.36. Tutorial 1.36 Use graphing to determine the optimal maximum value of a linear function subject to constraints.; title: 1.37. Tutorial 1.37 Use graphing to determine the optimal minimum value of a linear function subject to constraints.; title: 1.38. Tutorial 1.38 Solve applications involving linear programming.; title: 2. Matrices & Array Operations; title: 2.1. Determine the number of rows or columns in a matrix.; title: 2.2. Determine the order (dimensions) of a matrix.; title: 2.3. Identify square matrices.; title: 2.4. Identify the element (entry) at a given location; title: 2.5. Determine a zero matrix with a given order.; title: 2.6. Find the transpose of a matrix.; title: 2.7. Determine the negative of a matrix.; title: 2.8. Use matrices to present and interpret given data.; title: 2.9. Add matrices.; title: 2.10. Subtract matrices.; title: 2.11. Use matrix addition and/or subtraction to solve real-world business applications.; title: 2.12. Multiply a matrix by a scalar (real number).; title: 2.13. Find the product of given matrices.; title: 2.14. Complete matrix multiplication involving zero matrices.; title: 2.15. Use matrix multiplication to solve real-world business applications.; title: 2.16. Write the augmented matrix for a system of equations.; title: 2.17. Use a reduced matrix to determine the solutions for a given system.; title: 2.18. Use matrices to solve systems with unique solutions.; title: 2.19. Use matrices to solve systems with non-unique solutions.; title: 2.20. Find the inverse of a 2 x 2 square matrix.; title: 2.21. Use 2 x 2 inverse matrices to solve systems of equations.; title: 2.22. Use row operations to find the inverse of a square matrix.; title: 2.23. Use N x N inverse matrices to solve systems of equations.; title: 2.24. Use matrix inverses to solve real-world applications.; title: 2.25. 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: 2.26. Use a computer to determine the transpose of a matrix.; title: 2.27. Use a computer to determine the negative of a matrix.; title: 2.28. Use a computer spreadsheet to add matrices.; title: 2.29. Use a computer spreadsheet to subtract matrices.; title: 2.30. Use a spreadsheet to complete a scalar multiplication.; title: 2.31. Use a spreadsheet to complete a matrix multiplication.; title: 2.32. Use a spreadsheet to solve systems of equations involving row operations.; title: 2.33. Use a spreadsheet to determine the inverse of a matrix.; title: 2.34. Use a spreadsheet to find the determinant of a matrix.; title: 2.35. Use a spreadsheet to solve a system of equations involving inverse matrices.; title: 3. Quadratic & Other Special Functions; title: 3.1. Find the greatest common factor of a polynomial.; title: 3.2. Factor a polynomial expression by grouping.; title: 3.3. Factor a polynomial expression (x2 + bx + c) as a product of binomials.; title: 3.4. Factor a polynomial expression (ax2 + bx + c) as a product of binomials.; title: 3.5. Factor "special" polynomials through patterning.; title: 3.6. Use factoring to complete business applications.; title: 3.7. Solve quadratic equations by factoring.; title: 3.8. Solve quadratic equations by completing the square.; title: 3.9. Derive the quadratic formula by completing the square.; title: 3.10. Solve quadratic equations using the quadratic formula.; title: 3.11. Determine the number and the nature of the solutions for a quadratic equation.; title: 3.12. Solve business applications involving quadratic functions.; title: 3.13. For any quadratic function:; title: 3.14. Use quadratic functions to find market equilibrium.; title: 3.15. Use quadratic functions to find break-even point(s).; title: 3.16. Maximize quadratic revenue and/or profit functions.; title: 3.17. Minimize quadratic cost functions.; title: 3.18. Use quadratic functions to solve real-world applications.; title: 3.19. Identify the graphs of basic functions.; title: 4. Mathematics of Finance; title: 4.1. Find the amount of interest for a simple interest loan or investment.; title: 4.2. Find the future value for a simple interest investment.; title: 4.3. Find the amount that was invested into an account where simple interest is used.; title: 4.4. Find the simple interest rate earned on an investment.; title: 4.5. Find the time needed for an account with a simple interest rate to reach a desired future value.; title: 4.6. Find the future value for an account that is compounded periodically.; title: 4.7. Find the amount of interest earned for an account that is compounded periodically.; title: 4.8. Find the amount that was invested into an account that is compounded periodically.; title: 4.9. Find the interest rate for a periodically-compounded account.; title: 4.10. Solve an exponential equation using logarithms.; title: 4.11. Find the time needed for an account that is compounded periodically to reach a certain future value.; title: 4.12. Find the future value for an account when interest is compounded continuously.; title: 4.13. Find the amount that was invested into an account that is compounded continuously.; title: 4.14. Find the interest rate for an account that is compounded continuously.; title: 4.15. Find the time needed for an account that is compounded continuously to reach a specified amount.; title: 4.16. Find the annual percentage yield (APY) of money in an account where the interest is compounded periodically.; title: 4.17. Find the annual percentage yield (APY) of money in an account where the interest is compounded continuously.; title: 4.18. Compute the future value of an ordinary annuity.; title: 4.19. Compute the payment amounts required in order for an ordinary annuity to have a specified future value.; title: 4.20. Find out how long it will take for an ordinary annuity to reach a savings goal.; title: 4.21. Compute the future values of an annuity due.; title: 4.22. Compute the payment amounts required in order for an annuity due to have specified future values.; title: 4.23. Find out how long it will take for an annuity due to reach a savings goal.; title: 4.24. Compute the present value of an ordinary annuity.; title: 4.25. Compute the payments for a specified present value for an ordinary annuity.; title: 4.26. Compute the present value of an annuity due.; title: 4.27. Compute the payments for a specified present value for an annuity due.; title: 4.28. Compute the present value of a deferred annuity.; title: 4.29. Compute the payments for a specified present value for a deferred annuity.; title: 4.30. Find the regular payments to amortize a debt.; title: 4.31. Find the amount that can be borrowed for a specified payment.; title: 4.32. Find the unpaid balance of a loan.; title: 5. About the Author