MAT 371 - Advanced Calculus I
  Spring 2010

Announcements & News

Date
Announcement
May 1
The Final Exam will be given in our regular classroom, LL106, on Tuesday May 11 from 9:50 to 11:40 am. The exam will be comprehensive. In addition to the material listed in the announcements below for the Chapter 0 Quiz and Exams 1-3, the final will also cover the following material from Chapter 5
  • Definitions of Riemann integral, partition, upper & lower sum, upper & lower integral, refinement of a partition, Riemann sum, marked partition, and mesh.
  • Proofs of Theorems 5.1, 5.2, 5.3, 5.4, 5.8, 5.13, 5.14, and the version of Taylor's theorem on p. 163.
  • Meaning and implications of Theorems 5.5, 5.6, and 5.7
  • Homework problems from Chapter 5.
  • Slight variations on the proofs and homework problems.
April 16
Exam 3 will be given in the Mathematics Testing Center on Monday, April 26 and Tuesday, April 27, and you must take your ASU ID. We will not have class on Tuesday. The Exam will cover
  • Definitions of differentiable function, derivative, relative maximum (minimum).
  • Questions from Exam 2.
  • Proofs of Theorems 4.2, 4.3, 4.4, 4.5, 4.6, 4.7, 4.8, 4.9, 4.10, 4.12, and 4.13.
  • Homework problems from Chapter 4.
  • Slight variations on the proofs and homework problems.
March 24
Exam 2 will be given in the Mathematics Testing Center on Monday, April 5 and Tuesday, April 6, and you must take your ASU ID. We will not have class on Tuesday. The Exam will cover
  • Definitions of limit of a function, continuous at a point, continuous, uniformly continuous, closed, open, open cover, finite subcover, and compact.
  • Questions from Exam 1.
  • Proofs of Theorems 2.1, 3.1, 3.5, 3.6, 3.7, and 3.8.
  • Homework problems from Chapters 2 and 3.
  • Slight variations on the proofs and homework problems.
February 18
The complete Chapter 1 Study Guide is now available.

February 18
Exam 1 will be given in the Mathematics Testing Center on Wednesday, February 24 and Thursday, February 25, and you must take your ASU ID. We will not have class on Thursday. The Exam will cover
  • Definitions of sequence, convergence (of a sequence), neighborhood, Cauchy sequence, accumulation point, subsequence, increasing (decreasing) sequence, and monotone sequence.
  • Proofs of the Lemma on p. 35 and Theorems 1.1, 1.2, 1.3, 1.4, 1.6, 1.7, 1.14 and 1.16.
  • Homework problems from Chapter 1.
  • Slight variations on the proofs and homework problems.
February 15
First Class Help. The forum for discussing homework problems, proofs, and study guides is now up and available at http://firstclasshelp.asu.edu/.

January 29
Solutions to Homework assignments 1 and 2 are now available on the homework page.

January 27
The Chapter 0 Quiz will be given in the Mathematics Testing Center on Monday, February 1 and Tuesday, February 2, and you must take your ASU ID. We will not have class on Tuesday. The Quiz will cover
  • Definitions of real numbers, bounded from above, bounded from below, upper bound, lower bound, least upper bound, and greatest lower bound.
  • Proofs of Theorems 0.19, 0.21, 0.23
  • Questions about the proofs, especially those posed in the Section 0.5 Study Guide (Problems 1, 2, 3, 5, 7, 8, & 9)
  • Homework problems from Chapter 0.
  • Slight variations on the proofs and homework problems.
January 21
Welcome to MAT 371. Check here regularly for announcements.




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