# Category Archives: Uncategorized

## Wednesday 14 May class

Topics: • Geometric sequences and the general formula for the nth term of a geometric sequence • Finding the sum of the first k terms of a geometric sequence (also called the kth partial sum) • Finding the sum of … Continue reading

## A beautiful video related to the Fibonacci sequence in nature

Here is the beautiful video riffing off Fibonacci numbers, the Golden Ratio, and related things, which I mentioned in class: https://www.youtube.com/v/kkGeOWYOFoA?fs=1&hl=en_US

## Announcement from the Math Department about the Final Exam

Announcement from the Mathematics Department:  All students, without exception, are expected to appear at the scheduled time and place for their final examination in mathematics. [For this course, that means Wednesday 21 May 2014, 8:00 AM, in our normal … Continue reading

## Monday 12 May class

(after Test 4)   Topics: • Arithmetic sequences • The general formula for the nth term of an arithmetic sequence: We multiply d by (n-1) because we start adding d when we go to the second term. • Summation notation … Continue reading

## Wednesday 7 May class

Topics: • Vectors in the plane • Magnitude and direction angle of a vector • Unit vectors • Scalar multiplication • Vector addition   • Quick introduction to sequences (Session 23, Ex. 23.2 and 23.3)   Homework: • Review the … Continue reading

## Monday 5 May class

Topics: • The geometric representation of complex numbers: we represent the complex number a+bi as the point (a,b) in the coordinate plane (called “the complex plane” when we are talking about complex numbers). Better: we really think of a+bi as … Continue reading

## Wednesday 30 April class

Topics: • Solving the basic trig equations: , , . The methods are developed in these examples: Example 20.1 for  Example 20.4 for  Example 20.7 for  Examples 20.3, 20.6, and 20.9 use the developed methods to solve other basic trig equations.   … Continue reading

## Monday 28 April class

Topics: • The addition, subtraction, and double angle identities for tangent • Proving identities • The inverse trig functions (Session 19) • Solving the basic tangent equations   Homework: • Review the examples discussed in class • Review the definitions … Continue reading