Quiz Topics

Here are the topics for the last quiz:

-The Mean Value Theorem (know what it says)

- Newton's Method (be able to use it to find roots of a function)

-L'Hospital's Rule (be able to use it to evaluate limits)

-Curve Sketching (be able to find where a graph is increasing/decreasing, concave up/down, and be able to find any inflection points)

Quiz #7

Here are the topics for the quiz on Tuesday 11/17:

-related rates problems

-linearization: know the formula and be able to use it to approximate functions at different values (ex. approximate ln(1.2) using the linearization of ln(x) at a = 1)

-definition of absolute max/min, local max/min

-be able to find the absolute max and min of a function on an interval 

Quiz #6

Topics for Tuesday's Quiz:

-Implicit Differentiation
-Chain Rule
-Derivatives of the following functions: a^x, log_a(x), ln(x), sin^-1(x), cos^-1(x), tan^-1(x)

Note: You still need to remember the old derivative rules and applications (ex. finding the equation of a tangent line, instantaneous velocity).

Quiz On Tuesday 10/27

Here are the topics for Tuesday's Quiz:

-limits as x approaches infinity/-infinity
-the limit definition of a derivative
-finding the equation of a tangent line
-computing derivatives of functions
-using derivatives to find rates of change and instantaneous velocity
-sketching the graph of f '(x)
-finding f ''(x) (second derivative)

Topics for Quiz on 10/20

Here are the topics for Quiz #3:

-Average velocity on an interval
-Slope of a secant line
-Finding limits (two-sided, left and right limits) by plugging in numbers or looking at a graph
-Finding limits using the limit laws
-Determining when a limit exists
-Vertical asymptotes and how they relate to limits
-Limit problems with square roots (like on WebWork)
-Knowing when you can find the limit of f(x) as x -> a by plugging a into f(x)
-Determining where a function is continuous and where it is discontinuous
-Examples of continuous functions

Quiz On Tuesday 10/6

Here are the topics for Quiz #2:

-Functions: graphs and equations for linear, quadratic, cubic, power functions (including a = -1, a = 1/2 and a = 1/3)

-Domain and Range Problems (ex. find the domain and range of f(x) = x^2)

-Composition of Functions

-Transformations of Functions

-Definitions of even/odd functions and being able to show that simple functions are even/odd

-Piecewise functions (evaluate and graph)

Quiz On Tuesday 9/29

Remember that there will be a Quiz during X-Hour on Tuesday 9/29. 

This quiz will ask you to solve a few problems (similar to the homework and examples done in class) and state 1-2 definitions or equations (from class). 

Here are the topics that will be covered:

-definition of a slope

-2 equations for a line (point-slope form, slope-intercept form)

-simplifying expressions (#1-16 from algebra review packet)

-adding/multiplying fractions (#17-26 from algebra review packet)

-radicals (#77-82 from algebra review packet)

-exponents (#83-100 from algebra review packet)

Remember: NO calculators or notes may be used during the quiz.