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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
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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 Wednesday 21 May 2014, 8:00 AM, in our normal … Continue reading
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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 (n1) because we start adding d when we go to the second term. • Summation notation … Continue reading
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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
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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
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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
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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
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Wednesday 9 April (after Test 3) and Wednesday 23 April classes
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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Monday 7 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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