MAT 200 Calculus and Analytic Geometry II
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This course builds on the introduction to calculus in MAT 150. Topics in integration include applications of the integral in physics and geometry, and techniques of integration. The course also covers sequences and series of real numbers, power series and Taylor series, and calculus of transcendental functions. Further topics may include a basic introduction to concepts in multivariable and vector calculus.
 
Prerequisites: MAT 150 or MAT 180 or SEM 1101

schedule TTh 9:00-10:20AM in PLATO (SR 3D)
required textCalculus: Early Transcendentals, Eighth Edition, International Metric Version
by James Stewart
recommended textCalculus: Early Vectors
by James Stewart
online textCalculus Volume 2
on OpenStax
course docs contains the syllabus, the guide to trigonometric integrals, tests on series and Newton-Cotes formulas, solutions to homework 1 through 7, worksheets 1 through 7 and quizzes 1 through 4
mat200@mdvsamson.work please send me your available times when requesting a meeting
office hours where and when I am in office (use extension 1944 to check if I am in)
7 november 2018 This is a reminder that the second examination will be administered on Tuesday, November 8, from 9:00-10:50AM at Plato (SR 3D). This examination covers approximation of definite integrals, which is covered in the textbook in the following sections:
  • Newton-Cotes Formulas (§7.7)
    • Trigonometric Rule
    • Simpson's 1/3 Rule
    • Error estimates
  • Power Series Representation of Antiderivatives (§11.8--11.11)
    • Antiderivatives of Power Series (§11.9)
    • Taylor and Maclaurin Series (§11.10)
    • Error estimation of alternating series (§11.5) and by Taylor's Inequality (§11.10)
The formula sheet and reminders are attached to this post.
1 october 2018 This is a reminder that the first examination will be administered on Tuesday, October 2, from 9:00-10:50AM at Plato (SR 3D). This examination covers techniques of integration, which is covered in the textbook in the following sections:
  • Substitution Rule (§5.5)
    • Trigonometric Substitutions (§7.3)
    • Rationalizing Substitutions (§7.4 Example 9)
    • Weierstrass Substitution (§7.4 Exercise 59)
  • Integration by Parts (§7.1)
  • Integrals of Trigonometric Functions (§7.2)
  • Integrals of Rational Functions (§7.4)
A strategy for integration is outlined in Section 7.5---exercises in this section are suitable for practice.
The formula sheet and reminders are attached to this post.
11 september 2018 We are slightly behind schedule, so the next meeting will be a bit more packed than expected:
  • The first worksheet has been uploaded for techniques of integration, which covers the substitution rule (Section 5.5), which was covered today, and integration by parts (Section 7.1), which we will cover on Thursday. Integration by parts is the counterpart of the product rule of differentiation. You will be free to work on the worksheet in groups, and you can ask questions about the worksheet---I will provide the details of the technique and do a few examples from the book. You will be working on the worksheet in the first hour of the meeting, and it will be due at the end of the meeting.
  • The first quiz will have the same coverage as the worksheet, and you will do during the second hour of the meeting. Quizzes are open book, but will be worked on individually.
We will probably have more time in future sessions for these quizzes.