Monthly Archives: May 2014

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

(after Test 4)   Topics: • Sequences in general and some notation: introduction to arithmetic and geometric sequences • Arithmetic sequences • The general formula for the nth term of an arithmetic sequence: We multiply d by (n-1) because we … Continue reading →

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 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 Thursday 22 May 2014, 8:00 AM, in our normal … Continue reading →

Topics: • Vectors in the plane • Magnitude and direction angle of a vector • Unit vectors • Scalar multiplication • Vector addition     Homework: • Review the definitions, terminology, and notation in the examples regarding vectors. Most of … Continue reading →

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 →

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 →