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Author Archives: Sybil Shaver
Thursday 15 May class
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
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Tuesday 13 May class
(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 (n1) because we … Continue reading
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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
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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 Thursday 22 May 2014, 8:00 AM, in our normal … Continue reading
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Thursday 8 May class
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
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Tuesday 6 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
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Thursday 1 May 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
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Tuesday 29 April class
Topics: • The addition, subtraction, and double angle identities for tangent • Proving identities • The inverse trig functions (Session 19) Homework: • Review the examples discussed in class • Review the definitions of the inverse trig functions and … Continue reading
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Thursday 10 April (after Test 3) and Thursday 24 April class
Topics: • Finding exact values for the trig functions using knowledge of basic triangles and points on the coordinate axes • Basic graphs of sine, cosine, and tangent and their properties • Transformed graphs of sine and cosine functions Here … Continue reading
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Tuesday 8 April class
Topics: • Exponential functions in applications where the rate of growth or decay (decrease) per unit time is known. (See Examples 15.6, 15.7, and 15.8) Exponential growth and decay occur when the rate of change is a percentage of the … Continue reading
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