Monthly Archives: March 2014

Topics: • Transformations of the basic graph for b>1, and finding the domain (Example 13.13) • Using the properties of logarithms to simplify expressions containing logarithms (Example 14.2) • Using the properties of logarithms to expand a logarithm (Example 14.3) … Continue reading →

There are a couple of questions posted on the Piazza discussion board that are seeking student solutions, as well as other goodies that you may find useful. Remember that you can also help by editing an answer to improve it! This … Continue reading →

Topics: • Basic exponential functions and their graphs (for b>1 and for 0<b<1): See Example 13.2 and Observation 13.3, also Example 13.5 Note that all of these basic graphs have the y-intercept at (0,1) and have a horizontal asymptote y=0 … Continue reading →

Topics: • Quick review of the first method of solving absolute value inequalities, expanded to also look at the graph. See also Example 12.4(d) in the textbook. • Solving linear inequalities: this is just like solving linear equations, except that … Continue reading →

Please go through the checklist and make sure that you have everything set up. Especially make sure you have an email address in WeBWorK, as that will be used to send out midterm grades later on.

(after Test 2 on Wednesday) Topics: Rational Functions and their graphs • Domain: the domain of a rational function will be all real numbers except the x-values which make the denominator 0. • Vertical asymptotes: these occur where the denominator … Continue reading →

  Spring 2014 PLTL Schedule (link to pdf of the schedule, or click on the image below to embiggen it)

Test 2 is scheduled for the first 50 minutes of class on Wednesday 19 March.   The review Self-Tests were handed out in class and are also available on the Piazza discussion board, where you can ask questions if you get stuck! … Continue reading →

Topics: • Finding all roots of a polynomial and using them to find a complete factorization of the polynomial over the complex numbers. • For a polynomial with real coefficients, if it has non-real complex roots they occur in conjugate … Continue reading →

Topics: • Review of Session 8 material: The following three things are equivalent: c is a root of the polynomial f(x) x-c is a factor of f(x) When you divide f(x) by x-c, the remainder is 0. Therefore, finding roots … Continue reading →