The Final: Here is the schedule for the week of July 30th:
| Monday | Tuesday | Wednesday | Thursday | Friday | |
| 9:00am-10:30am | Final Exam | ||||
| 10:30am-12:00pm | Office Hour | Review | Review | Final Exam | |
| 12:00pm-1:00pm | Office Hour | Office Hour | |||
| 1:00pm-2:00pm | Office Hour |
Here is what you need to know for the final:
5.1 Areas and Distance: I want you to know that we use infinite sums to define area, but I will not ask a direct question about this.
5.2 The Definite Integral: You need to know the subsection: Properties of the Definite Integral. Skim the rest.
5.3 The Fundamental Theorem of Calculus
5.4 Indefinite Integrals and the Net Change Theorem
5.5 The Substitution Rule
5.6 The Logarithm Defined as an Integral: Skim the subsections: General Exponential Functions, General Logarithmic Functions. Know the rest.
6.1 Areas Between Curves
6.2 Volumes
6.3 Volumes by Cylindrical Shells
6.4 Work Skip.
6.5 Average Value of a Function
7.1 Integration by Parts
7.2 Trigonometric Integrals
7.3 Trigonometric Substitution
7.4 Integration of Rational Functions by Partial Fractions
7.5 Strategy for Integration
7.6 Integration Using Tables and Computer Algebra Systems: Skip the subsection: Computer Algebra Systems.
7.7 Approximate Integration: Skip
7.8 Improper Integrals
8.1 Arc Length
8.2 Area of a Surface of Revolution
8.3 Applications to Physics and Engineering: Skip.
8.4 Applications to Economics and Biology: Skip.
8.5 Probability: Skim.
9.1 Modeling with Differential Equations
9.2 Direction Fields and Euler's Method: Skip the subsection: Euler's Method. Know the rest.
9.3 Separable Equations: Skip the subsection: Mixing Problems. Know the rest.
9.4 Exponential Growth and Decay: Skip the subsections: Newton's Law of Cooling, Continuously Compounded Interest
9.5 The Logistic Equation: Skip the subsections: Euler's Method, Comparison of the Natural Growth and Logistic Models, Other Models for Population Growth. Know the rest.
9.6 Linear Equations: Skip the subsection: Application to Electrical Circuits. Know the rest.
9.7 Predator-Prey Systems: Skip.
10.1 Curves Defined by Parametric Equtions: Skim the subsections: The Cycloid, Families of Parametric Curves. Know the rest.
10.2 Calculus with Parametric Curves: Skip the subsections: Areas, Arc Length, Surface Area. Know the rest.
10.3 Polar Coordinates: Skip the subsections: Tangents to Polar Curves, Graphing Polar Curves with Graphing Devices. Know the rest.
10.4 Areas and Lenghts in Polar Coordinates: Skip.
10.5 Conic Sections: Skip.
10.6 Conic Sections in Polar Coordinates: Skip.
11.1 Sequences
11.2 Series
11.3 The Integral Test and Estimates of Series: Skip the subsections: Estimating the Sum of a Series, Proof of the Integral Test. Know the rest.
11.4 The Comparison Tests: Skip the subsection: Estimating Sums. Know the rest.
11.5 Alternating Series: Skip the subsection: Estimating Sums. Know the rest.
11.6 Absolute Convergence and the Ratio and Root Tests
11.7 Strategy for Testing Series
The format of the final will be announced soon.