| The following exercises are good practice. It is
essential that you work as many of them as you have time for, or
work the corresponding problems on MyMathLab's Study Plan
(if applicable). Test questions will be of the types listed here.
Additional practice problems can be found on the test
archive. Use this exercise list if you
are using the THIRD EDITION of Briggs and
Cochran.
(Scroll down for the SECOND EDITION exercises) |
| SECTION | MATERIAL | PRACTICE EXERCISES | FOR FINAL EXAM: |
| Hammack 3.1 | Trig review | 1–41 | Background material -- be able to compute trig functions |
| Hammack 3.2 | Solving triangles | 1–11 | Background material -- be able to do this |
| Hammack 3.4 | Solving trig equations | 1–13 | Background material -- be able to do this |
| Hammack 4.1 | Inverse functions | 1–6 | Mostly background -- just know main ideas |
| Hammack 4.2 | Graphing inverses | 1–6 | Mostly background -- just know main ideas |
| Hammack 4.3 | Finding inverses | 1–14 | Mostly background -- just know main ideas |
| Hammack 5.1 | Exponents | 1–21 | Mostly background -- You'll need to work with exponents! |
| Hammack 5.2 | Exponential functions | 1–6 | Mostly background -- just know main ideas |
| Hammack 5.3 | Logarithmic functions | 1–19 | Mostly background -- Be able to work with logarithms! |
| Hammack 5.4 | Logarithm laws | 1–18 | Mostly background -- But you will need to use the laws! |
| Hammack 5.5 | Natural exponential and log functions | 1–18 | Mostly background -- just know main ideas |
| Hammack 6.1 | Inverse sin | 1–8 | Background material -- be able to work with inverse trig functions |
| Hammack 6.3 | Inverse tan and sec | 1–28 | Background material -- be able to work with inverse trig functions |
| Hammack 6.5 | Simplifications | 1–12 | Mostly background -- just know main ideas |
| B&C 2.2 | Definition of limits | 1–7; 15–25 | Mostly background -- just know main ideas |
| B&C 2.3 | Computing limits | 1–65 | Important! |
| B&C 2.4 | Infinite limits | 1–49 | Important! |
| B&C 2.5 | Limits at infinity | 1–49; 71–78, 86, 87 | Important! |
| B&C 2.6 | Continuity | 1–38; 49–59 | Mostly background -- just know main ideas |
| B&C 3.1 | Definition of the derivative | 21–45 | Know the definition of a derivative |
| B&C 3.2 | The derivative as a function | 17–49 | Important! |
| B&C 3.3 | Rules for differentiation | 7–39, 69, 71 | Important! |
| B&C 3.4 | Product and quotient rules | 19–63 | Important! |
| B&C 3.5 | Derivatives of trig functions | 11–53, 57–63 | Important! |
| B&C 3.6 | Derivatives as rates of change | 1–27, 35–41 | Important interpretation of a derivative |
| B&C 3.7 | Chain rule | 1–77 | Important! |
| B&C 3.8 | Implicit differentiation | 5–39, 45–55 | Important! |
| B&C 3.9 | Derivatives of logs and exponentials | 3–55, 59–85 | Important! |
| B&C 3.10 | Derivatives of inverse trig functions | 1–43 | Important! |
| B&C 3.11 | Related rates | 1–45 | Important! |
| B&C 4.1 | Maxima and Minima | 1–67 | Important! |
| B&C 4.2 | Mean value theorem | 1–25 | NOT COVERED IN SPRING 2020 |
| B&C 4.3 | What derivatives tell us | 1–87 | Important! |
| B&C 4.4 | Graphing functions | NOT COVERED IN SPRING 2020 |
|
| B&C 4.5 | Optimization problems | 1–41 | Important! |
| B&C 4.6 | Linear approximation and differentials | NOT COVERED IN SPRING 2020 | |
| B&C 4.7 | L'Hopital's rule | 17–81 | Important! |
| B&C 4.9 | Antiderivatives | 11–99 | Important! |
| B&C 5.1 | Approximating areas | Mostly background -- just know main ideas | |
| B&C 5.2 | Definite integrals | 21–57 | Mostly background -- just know main ideas |
| B&C 5.3 | Fundamental theorem of calculus | 13–87 | Important! |
| B&C 5.4 | Working with integrals | 11–37 | Important! |
| B&C 5.5 | Substitution method | 17–73 | Important! |
| SECTION | MATERIAL | PRACTICE EXERCISES | FOR FINAL EXAM: |
| Hammack 3.1 | Trig review | 1–41 | Background material -- be able to compute trig functions |
| Hammack 3.2 | Solving triangles | 1–11 | Background material -- be able to do this |
| Hammack 3.4 | Solving trig equations | 1–13 | Background material -- be able to do this |
| Hammack 4.1 | Inverse functions | 1–6 | Mostly background -- just know main ideas |
| Hammack 4.2 | Graphing inverses | 1–6 | Mostly background -- just know main ideas |
| Hammack 4.3 | Finding inverses | 1–14 | Mostly background -- just know main ideas |
| Hammack 5.1 | Exponents | 1–21 | Mostly background -- You'll need to work with exponents! |
| Hammack 5.2 | Exponential functions | 1–6 | Mostly background -- just know main ideas |
| Hammack 5.3 | Logarithmic functions | 1–19 | Mostly background -- Be able to work with logarithms! |
| Hammack 5.4 | Logarithm laws | 1–18 | But you will need to use the laws! |
| Hammack 5.5 | Natural exponential and log functions | 1–18 | Mostly background -- just know main ideas |
| Hammack 6.1 | Inverse sin | 1–8 | Background material -- be able to work with inverse trig functions |
| Hammack 6.3 | Inverse tan and sec | 1–28 | Background material -- be able to work with inverse trig functions |
| Hammack 6.5 | Simplifications | 1–12 | Mostly background -- just know main ideas |
| B&C 2.2 | Introduction to limits | 1–13, 21–23, odd | Mostly background -- just know main ideas |
| B&C 2.3 | Computing limits | 11–51, 61–79, odd | Important! |
| B&C 2.4 | Infinite limits | 9–51, odd | Important! |
| B&C 2.5 | Limits at infinity | 9–33; 41–49; 53–63, odd | Important! |
| B&C 2.6 | Continuity | 9–55; 59–63; 71–79, odd | Mostly background -- just know main ideas |
| B&C 3.1 | Definition of the derivative | 27–39, odd | Know the definition of a derivative |
| B&C 3.2 | Working with derivatives | 5–15, odd | Important! |
| B&C 3.3 | Rules for differentiation | 5–47, odd | Important! |
| B&C 3.4 | Product and quotient rules | 7–31; 37–49, odd | Important! |
| B&C 3.5 | Derivatives of trig functions | 17–47; 57–67,odd | Important! |
| B&C 3.6 | Derivatives as rates of change | 11–17, odd | Important interpretation of a derivative |
| B&C 3.7 | Chain rule | 7–37; 41–67; 79–81, odd | Important! |
| B&C 3.8 | Implicit differentiation | 5–53, odd | Important! |
| B&C 3.9 | Derivatives of logs and exponentials | 9–29; 35–67; 71–81; 85–91, odd | Important! |
| B&C 3.10 | Derivatives of inverse trig functions | 7–33; 37–51, odd | Important! |
| B&C 3.11 | Related rates | 7–39, odd | Important! |
| B&C 4.1 | Maxima and Minima | 11–49, odd | Important! |
| B&C 4.2 | What derivatives tell us | 11–81, odd | Important! |
| B&C 4.3 | Graphing functions | 9, 11, 21, 35, 49 | Mostly background -- just know main ideas |
| B&C 4.4 | Optimization problems | 7–27, odd | Important! |
| B&C 4.5 | Linear approximation and differentials | NONE! | Mostly background -- just know main ideas |
| B&C 4.6 | Mean value theorem | NONE! | Mostly background -- just know main ideas |
| B&C 4.7 | L'Hopital's rule | 13–67, odd | Important! |
| B&C 4.9 | Antiderivatives | 11–93, odd | Important! |
| B&C 5.1 | Approximating areas | 41 | Mostly background -- just know main ideas |
| B&C 5.2 | Definite integrals | 21–45, odd | Mostly background -- just know main ideas |
| B&C 5.3 | Fundamental theorem of calculus | 23–69, odd | Important! |
| B&C 5.4 | Working with integrals | 7–29, odd | Important! |
| B&C 5.5 | Substitution method | 9–77, odd | Important! |