Written HW 3 solutions

The solutions to the third written HW are available here: http://math.dartmouth.edu/~m1f09/WrittenHW3solns.pdf
You will need to refer to them for the fourth written HW.

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

Written HW 3

The third written HW is posted http://math.dartmouth.edu/~m1f09/hw3.pdf
It is due on Monday, October 19th.

Math 1 Practice Exam

Click here to download the Math 1 Practice Midterm.

We will post answers on Sunday.

Topics For Midterm 1

Here are the topics for the first midterm:

-definition of a slope and 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)

-Functions: Know the graphs and equations for linear, quadratic, cubic, power functions (including a = -1, a = 1/2 and a = 1/3), piecewise functions, trig functions (sin(x), cos(x), tan(x)), exponential functions, log functions (including ln(x)). 
-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
-Inverse functions: Know when a function has an inverse; Be able to find the inverse of a given function; Be able to graph a function and its inverse; Be able to identify the domain and range of a function and its inverse.

-Know log rules (including ln) and be able to use them to simplify an expression and solve equations of the form e^(3x+1) = 7. 

-Be able to simplify expressions of the form [f(x+h) - f(x)]/h (as on the written homework assignments).

NOTE: We will hold an exam review during Tuesday's X-hour. There will NOT be a quiz on Tuesday. 

Written Homework for Week 3

Written homework for Week 3 can be downloaded here.

The written homework will be due at the beginning of class on Friday.

The study group leaders will be happy to help you with this assignment. Please visit them during your assigned time if you have any questions.

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)