Difference between revisions of "Math 9B"
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|style = "vertical-align:top; width:300px;"|[[Riemann_Sums|'''Riemann Sums''']] | |style = "vertical-align:top; width:300px;"|[[Riemann_Sums|'''Riemann Sums''']] | ||
|Finding the area under the curve as a limit. | |Finding the area under the curve as a limit. | ||
| + | |- | ||
| + | |style = "vertical-align:top; width:300px;"|[[U-substitution|'''U-substitution''']] | ||
| + | |Some practice problems using u-substitution. | ||
| + | |- | ||
| + | |style = "vertical-align:top; width:300px;"|[[Integration by Parts|'''Integration by Parts''']] | ||
| + | |Some practice problems using integration by parts. | ||
| + | |- | ||
| + | |style = "vertical-align:top; width:300px;"|[[Volume of a Sphere|'''Volume of a Sphere''']] | ||
| + | |A proof of the formula for the volume of a sphere using volumes of revolution. | ||
|} | |} | ||
| + | == Sample Exams == | ||
| + | [[009B_Sample_Midterm_1|'''Sample Midterm 1''']] | ||
| + | [[009B_Sample_Midterm_2|'''Sample Midterm 2''']] | ||
| − | + | [[009B_Sample_Midterm_3|'''Sample Midterm 3''']] | |
| − | + | [[009B_Sample_Final_1|'''Sample Final 1''']] | |
| + | |||
| + | [[009B_Sample_Final_2|'''Sample Final 2''']] | ||
| − | + | [[009B_Sample_Final_3|'''Sample Final 3''']] | |
Latest revision as of 11:22, 30 October 2017
Concepts
| An Introduction to Mathematical Induction: The Sum of the First n Natural Numbers, Squares and Cubes. |
Brief examples of proof by induction, with three formulas useful for evaluating Riemann sums. |
| Riemann Sums | Finding the area under the curve as a limit. |
| U-substitution | Some practice problems using u-substitution. |
| Integration by Parts | Some practice problems using integration by parts. |
| Volume of a Sphere | A proof of the formula for the volume of a sphere using volumes of revolution. |