We start a new chapter today about radicals, or roots.

We explore some common methods for dealing with expressions with radicals.

We finish up the chapter on logarithms by studying advanced log to exponent exchange and by introducing natural logarithms.

We continue the study of logarithm. Today we go over logarithmic identities.

We start a new chapter on Exponents and Logarithms.

Today we cover Exponential Functions Basics and Introduction to Logarithms.

We study Cauchy-Schwarz Inequality and solving problems for finding Maxima and Minima.

This concludes Chapter 12. Next week we will start a new chapter.

We study Arithmetic Mean and Geometric Mean with 2 variables and more variables.

For any n nonnegative real numbers a1, a2, …, an,

(a1 + a2 + … + an) / n >= n-th root of (a1a2…an)

We study inequalities for the next three lessons. We cover 12.1 and 12.2 sections on inequality manipulation and trivial inequalities.

We study induction, which is a very useful way for proofing problems. It may take students a little while to really master this skill, but this is something students should really get good at.

We study identities and their manipulations.

In particular, w study using brute force, as well as identities with fractions.

Today is the first class for Fall semester,  but we picked up from where we left off for Spring semester. We study summation and product notation and how to use them to help us dealing with sequences and series’es. We also learn how to evaluate such summation and product notations, especially with nested ones.

This wraps up Chapter 10 and we will start Chapter 11 next week.