For a printable version of this page, go
here.
MATH 1314 Review for the Final Exam -
Build your own review sheet
For the final exam, you are expected to know everything from the semester, so you should look back over the test reviews for tests 1-4. I realize that is a lot of material, so I am going to give you some guideance to help you focus in on your studying. I am providing an outline of the types of problems I have decided to ask about on the final exam. For your review, I want you to look back through the chapter reviews I have assigned for Tests 1-4 and find at least 2 examples of each of the problem types I list and pull those together to "make your own review sheet" (don't get too carried away; there are a lot of things here, so only do more than 2 problems each on things you know you need exra work on). You will have to turn this in as your test review (and it will count heavily on your written homework grade).
Take this seriously, because this is how I expect students to study for exams in my college credit lecture courses (i.e., I normally don't provide a list of review problems, but give enough information so students can pull together their own review sheet). If you are having trouble understanding what something in the list refers to, please post on the Discussion Boards. Also, if you are having trouble tracking something down, you can post help requests there as well. To give you a little more help, I have indicated which chapter each thing comes from. Also, everything on the final exam comes directly from one of the earlier tests (though the formulas and numbers and exact problems have changed), so there shouldn't be any surprises on the final exam.
In the outline below, find example problems for each of the things with a chapter number by it; these may come from the test reviews or from the chapter homework.
This list is sorted by topics, arranged more or less like I put them on the exam (not everything is on the exam, of course):
(Scroll down for a list sorted by chapter)
- Solving equations
symbolically (i.e., not from a graph)
- Absolute value equations (Ch. 2)
- Rational equations (Ch. 4)
- Equations with radicals/roots (Ch. 4, test 3)
- Equations with exponentials (Ch. 5)
- Equations with logarithms (Ch. 5)
- Solving inequalities
symbolically (i.e., not from a graph)
- Linear inequalities (Ch. 2)
- Absolute value ineqaulities (Ch. 2)
- Quadratic, polynomial, and rational inequalities (Ch. 4, test 3)
- Finding all roots/zero's/solutions of polynomials using the rational root test and synthetic division (Ch. 4, test 2)
- Graphing
- Piecewise functions (Ch. 2)
- Parabolas, including putting them into "vertex form" (Ch. 3)
- Graphing transformations (shift/stretch/reflections) (Ch. 3)
- Polynomials (Ch. 4, test 2)
- Rational fuctions, including vertical and horizontal asymptotes (Ch. 4, test 3)
- Solve using a graph (provided on test)
- Find equation using transformations (shift/stretch/reflection) (Ch. 3)
- Find equation for a polynomial (by finding roots and multiplicities) (Ch. 4, test 2)
- Solve inequalities using the graph (Ch. 3 and 4)
- Systems of equations
- Solve system of nonlinear equations (Ch. 6)
- Solve systems of equations using Gaussian elimination/row reduction (i.e., augmented matrices) (Ch. 6)
- Solve systems of equations using Cramer's Rule (Ch. 6)
- Miscellaneous stuff
- Find the composition of functions (Ch. 5)
- Find the inverse of functions (Ch. 5)
- Add/subtract/multiply/divide/simplify complex and imaginary numbers (Ch. 3)
- Find logarithms without using your calculator (Ch. 5)
- Expand logarithms using the rules for logarithms (Ch. 5)
- Rewrite as a single logarithm using the rules for logarithms (Ch. 5)
- Add/subtract/multiply matrices (Ch. 6)
- Find the determinant of a matrix (Ch. 6)
- Applications (i.e., "word problems)
- Parabolas (Ch. 3)
- Exponential functions (i.e., compound interest, radioactive decay, exponential growth) (Ch. 5)
- Systems of equations (Ch. 6)
This is a second copy of the SAME list, but now sorted by chapter (to make it easier to pull together your review sheet):
- Ch. 2
- Solving Absolute value equations (Ch. 2)
- Solving Linear inequalities (Ch. 2)
- Solving Absolute value ineqaulities (Ch. 2)
- Graph Piecewise functions (Ch. 2)
- Ch. 3
- Graph Parabolas, including putting them into "vertex form" (Ch. 3)
- Graphing transformations (shift/stretch/reflections) (Ch. 3)
- By looking at the graph, Find equation using transformations (shift/stretch/reflection) (Ch. 3)
- Solve inequalities using the graph (Ch. 3 and 4)
- Add/subtract/multiply/divide/simplify complex and imaginary numbers (Ch. 3)
- Applications involving Parabolas (Ch. 3)
- Ch. 4
- Solving Rational equations (Ch. 4)
- Solving Equations with radicals/roots (Ch. 4, test 3)
- Solving Quadratic, polynomial, and rational inequalities (Ch. 4, test 3)
- Finding all roots/zero's/solutions of polynomials using the rational root test and synthetic division (Ch. 4, test 2)
- Graphing Polynomials (Ch. 4, test 2)
- Graphing Rational fuctions, including vertical and horizontal asymptotes (Ch. 4, test 3)
- By looking at the graph, Find equation for a polynomial (by finding roots and multiplicities) (Ch. 4, test 2)
- Solve inequalities using the graph (Ch. 3 and 4)
- Ch. 5
- Solving Equations with exponentials (Ch. 5)
- Solving Equations with logarithms (Ch. 5)
- Find the composition of functions (Ch. 5)
- Find the inverse of functions (Ch. 5)
- Find logarithms without using your calculator (Ch. 5)
- Expand logarithms using the rules for logarithms (Ch. 5)
- Rewrite as a single logarithm using the rules for logarithms (Ch. 5)
- Applications of Exponential functions (i.e., compound interest, radioactive decay, exponential growth) (Ch. 5)
- Ch. 6
- Solve system of nonlinear equations (Ch. 6)
- Solve systems of equations using Gaussian elimination/row reduction (i.e., augmented matrices) (Ch. 6)
- Solve systems of equations using Cramer's Rule (Ch. 6)
- Add/subtract/multiply matrices (Ch. 6)
- Find the determinant of a matrix (Ch. 6)
- Applications (word problems) of Systems of equations (Ch. 6)