Karl Heinz Dovermann,   Professor


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Research Papers

Online Algebra Refresher - Information

Calculus without Limits (Lecture Notes for Applied Calculus)

Vectors and Plane Geometry (Lecture Notes for the first week in Math 241 or 251A)

Calculus Lecture Notes for Math 161

Common Math 241 Final Exams and Practice Materials

Previous Math 242 syllabus and exam.

Office Phone Email
Keller Hall 405
(808) 956-4654 heiner@math.hawaii.edu
 
Fall 2016
Course title Course number Room Hours
Calculus II Math 252A Keller 413 MWF 9:30 -- 10:20
Introduction to Linear Algebra Math 311 Keller 414 MWF 10:30 -- 11:20
Topics in Algebraic Topology Math 649 Keller 403 TR 9:00 -- 10:20
Office hours
MWF 8:45 -- 9:20 & TR 10:30 -- 11:20
and by appointment



Announcement for Math 252A (Fall 2016):

  • Syllabus for Math 252A
  • Look up your grades: (Use your student ID#)
  • HW1, due Wednesday August 24th, Section 7.1, Problems 8, 10, 20, 30, 34.
  • HW2, due Friday August 26th, Section 7.2, Problems 2, 8, 20, 30, 40, 52, 54.
  • HW3, due Monday August 29th, Section 7.3, Problems 8, 16, 22, 28, 62, 66.
  • HW4, due Wednesday, August 31st, Section 7.3, Problems 36, 46, 86, 92. (due W 9/7)
  • HW5, due Friday September 2nd, Section 7.4, Problems 22, 34, 42, 48, 56, 68, 97. (due W 9/7)
  • HW6, due Wednesday, September 7th, Section 7.5, Problems 4, 6, 22, 34.
  • HW7, due Friday, September 9th, Section 7.5, Problems 10, 14, 16.
  • HW8, due Monday, September 12th, Section 7.6 Problems 6, 16, 20, 24, 30, 34, 40, 44, 50, 54.
  • HW9, due Wendsday, September 14th, Section 7.7 Problems 8, 12, 16, 22, 28, 38, 50.
  • HW10, due Monday, September 19th, Section 8.1 Problems 6, 16, 20, 28, 34, 40.
  • HW11, due Wednesday, September 21st, Section 8.2 Problems 6, 10, 16, 22, 24, 30.
  • HW12, due Friday, September 23rd, Section 8.3 Problems 4, 12, 20, 24.
  • HW13, due Monday, September 26th, Section 8.4 Problems 4, 8, 16, 22, 32, 38.
  • HW14, due Wednesday, September 28th, Section 8.6 Problems 10, 20, 36.
  • HW15, due Wednesday, October 5th, Section 8.7 Problems 12, 20, 28, 34, 54.
  • HW16, due Friday, October 7th, Section 9.1 Problems 6, 10, 14, 26, 30, 34, 42, 50. (Well, make it Monday the 10th instead.)
  • HW17, due Wednesday, October 12th, Problems 101-107 from the list of integration practice problems.
  • HW18, due Friday, October 14th, Section 9.1 Problems 46, 68, 74, 106, 118.
  • HW19, due Monday, October 17th, Section 9.2 Problems 14, 22, 24, 46, 50, 56, 70.
  • HW20, due Wednesday, October 19th, Section 9.3 Problems 2, 14, 16, 30, 39, 40 (a little late will be acceptable).
  • HW21, due Friday, October 21st, Section 9.3 Problem 44 and Section 9.4 Problems 8, 14, 26, 32.
  • HW22, due Monday, October 23rd, Section 9.5 Problem 4, 8, 12, ... (problems whose number is divisible by 4).
  • HW23, due Wednesday, October 25th, Section 9.6 Problem 8, 14, 26, 34, 40, 50.
  • HW24, due Friday, October 27th, Section 9.7 Problem 2, 6, 10, 16, 22, 28.
  • HW25, due Monday, October 30th, Section 9.7 Problem 32, 34, 36, 38, 44.
  • HW26, due Wednesday, November 2nd, Section 9.8 Problem 2, 4, 6, 8, 16, 20, 22, 24.
  • HW27, due Friday, November 4th (click on it).
  • HW28, due Wednesday, November 9th, Section 9.10 Problem 4, 12, 18.
  • HW29, due Monday, November 14th. Fill in the details for the limit arguments in the last to exam problems.
  • HW30, due Friday, November 18th. Section 16.2, Problems 6, 14, 20, 36.
  • HW31, due Monday, November 21st. Complete the polluted lake problem.
  • HW32, due Wednesday, November 23rd. Section 17.1, Problems 6, 14, 24, 30, 36, 40, 48, 62.
  • HW33, due Wednesday, November 30th. Section 10.1, Problems 6, 12, 16, 22, 26, 36, 48.
  • HW34, due Monday, December 5th. Section 10.2, Problems 14, 16, 20, 26, 28.
  • Exam I with solutions.
  • Exam II with solutions.
  • Problems to practice integration.
  • Announcement for Math 311 (Fall 2016):

  • Syllabus for Math 311
  • Look up your grades for Fall 2016: (Use your student ID#)
  • Exam I (fall 2016) with solutions.
  • Exam II (fall 2016) with solutions.
  • HW1, due Wednesday, August 24th, p.8 Problem 2, and Proof-Writing 1.
  • HW2, due Friday, August 26th, p. 18ff, CE 4,6 and PWE 3, 4.
  • HW3, due Monday, August 29th, p. 26f, CE 2 and PWE 1, 3.
  • HW4, due Wednesday, August 31st, p. 37f, CE 1 (a)-(e) and PWE 1, 2.
  • HW5, due Wednesday, September 7th, p. 37f, CE 4 and 5 and PWE 3 and 4.
  • HW6, due Friday, September 9th (click on it).
  • HW7, due Monday, September 12th, p. 49, CE 1. Decide whether the following sets are linearly independent and whether they span P_2, the vector space of polynomials of degree at most 2: {1, x^2+x, x-1}, {x^2+1, x-1, x^2+x}, and {x, x^2+2}.
  • HW8, due Wednesday, September 14th, p. 166f (Exercise for Appendix A), CE 3 and 4 and PWE 1.
  • HW9, due Friday, September 16th, p. 166ff (Exercise for Appendix A), CE 7 (a) and (c), PWE 3, 4.
  • HW10, due Monday, September 19th, p. 49, CE 2, 4 and PWE 1,2.
  • HW11, due Friday, September 23rd, p. 49, PWE 5, 6.
  • HW12, due Monday, September 26th Show that the trace of AB equals the trace of BA, whenever both products are defined.
  • HW13, due Wednesday, September 28th (click on it).
  • HW14, due Friday, October 7th, p. 64, C.E 1, 4 and PWE 1, 3.
  • HW15, due Monday, October 10th (click on it).
  • HW16, due Wednesday, October 12th (click on it).
  • HW17, due Friday, October 14th (click on it).
  • HW18, due Monday, October 17th (click on it).
  • HW19, due Wednesday, October 19th, p. 76, C.E 1, 4 and PWE 1, 2. (A little late will be fine.)
  • HW20, due Monday, October 24th (click on it).
  • HW21, due Wednesday, October 25th, p. 78, PWE 3, 4, 5, 8, 9.
  • HW22, due Friday, October 27th, p. 93, CE 1, 5, 6.
  • HW23, due Monday, October 31st (click on it).
  • HW24, due Friday, November 4th (click on it).
  • HW25, due Friday, November 18th (click on it).
  • HW26, due Wednesday, November 23rd, p. 107f, CE 1, 2, 3, PWE 6.
  • HW27, due Wednesday, November 30th, Show that, over the complex numbers, every square matrix is unitarily similar to an upper triangular matrix. (Make it Friday.)
  • First Math 311 exam with solution (Summer 16).
  • Second Math 311 exam with solution (Summer 16).
  • Syllabus for Math 311
  • First Math 311 exam with solution.
  • Second Math 311 exam with solution.
  • A first exam for Math 311
  • Another first exam for Math 311
  • A second exam for Math 311
  • Another second exam for Math 311
  • A final for Math 311
  • Another final for Math 311
  • Another final for Math 311
  • A final for Math 307
  • A final for Math 307 with solutions
  • Another final for Math 307
  • One more final for Math 307
  • Announcement for Math 321 (Summer 2015):