![]() Intuitively, a sequence is an ordered list of objects or events. Here you can find information about the exams, as well as other goodies such as practice exams. We begin by discussing the concept of a sequence. Similar to Piazza, where you can post/answer questions My YouTube Channel, has the lecture videos Submit the HW, take the quizzes/exams, and check your grades Rearrange Conditionally Convergent Series (AP 9 Video)ġ7.8(b) + 17.9 + 17.10(a)(b) + 17.12 + 17.13 SolutionsĬontinuity without Epsilon (AP4 + AP5 Video)Įvery Function is Continuous (AP 9 Video)ġ8.9 + 18.12 + 19.2 + 19.4 + 19.5 + 19.6 + 19.7 + 19.8 + 19.9 + 19.11 Solutions Learning Objectives Explain the sequences of real numbers In Chapter 2, we developed the equation 1 + x + x2 + x3 + 1 1 x, and we mentioned there were limitations to this power series representation. Limit Comparison Test Proof (AP4 + AP7 Video) It is important to cover uniform convergence in Math 521. + n n(n+1)/2 and is called a arithmetic Series The sum of all the natural numbers squared. Sloane is the founder of the On-Line Encyclopedia of Integer Sequences, a database of 362,765 (and. Subsequence with Further Subsequence (AP 6 + AP 7 Video) For example, one can study sequences and series in the beginning, and introduce metric spaces later. The sum of all the natural numbers is a Series S(n) 1 + 2 + 3. These are questions that Neil Sloane, a mathematician of Highland Park, N.J., loves to ask. I will post solutions to the Additional Problems, and occasionally some book problems. Note: You can find hints and solutions to the book problems in the back of the book. Here are instructions on how to submit the homework and take the quizzes: Homework + Quiz Instructions (Typo: Quizzes are 8:30-8:50 am PST) ![]() Your lowest 2 homeworks and your lowest 2 quizzes are dropped. ![]() There is also a quiz every Thursday on Canvas from 8:30 to 8:50 am PST. Geometric sequence: a n ar n-1, where a the first term and r common ratio. Homework is due every Thursday at 9 am PST, online on Canvas. Sequences Formulas Arithmetic sequence: a n a + (n - 1) d, where a the first term and d common difference. Here is the syllabus of the course: Syllabus
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