Karl Heinz Dovermann,   Professor

Research Papers

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

Office Phone Email
Keller Hall 405
(808) 956-4654 heiner@math.hawaii.edu
 
Summer 2019
Course title Course number Room Hours
Introduction to Linear Algebra Math 311 Kel 402 MWF 9:00 -- 10:20
Linear Algebra and Systems of Differential Equations Math 307 Kel 402 MWF 12:00 -- 1:20
Office hours
MWF 10:30 -- 11:30, TR 10:30 -- 11:20
and by appointment



Announcement for Math 307 (Summer 2019):

  • Syllabus for Math 307
  • Look up your grades for Summer 2019: (Use your student ID#)
  • HW16, due Monday, July 15th: p. 301, Problems 2, 4, 8, 14.
  • HW17, due Wednesday, July 17th: p. 301, Problems 12, 16, 24, 26.
  • HW18, due Friday, July 19th: p. 311, Problems 6, 12, 16, 24.
  • HW19, due Monday, July 22nd: Determine the general solution to Y'=AY where the matrix A is as in #4, 9, 11 on page 277.
  • HW20, due Wednesday, July 24th: p. 318, Problem 6.
  • HW21, due Wednesday, July 31st: p. 332, Problem 6, 8.
  • HW22, due Friday, August 2nd: p. 419, Problem 6, 8, 12.
  • HW23, due Monday, August 5th: p. 429, Problem 6, 10, 14.
  • HW24, due Wednesday, August 7th: p. 439, Problem 4, 10, 14, 18, 19.
  • First Math 307 midterm (Summer 2019)
  • Second Math 307 midterm (Summer 2019)
  • First Math 307 midterm (Fall 2018)
  • Second Math 307 midterm (Fall 2018)
  • Math 307 Final (Fall 2018)
  • First Math 307 midterm (Summer 2018)
  • Second Math 307 midterm (Summer 2018)
  • Math 307 final (Summer 2018)
  • A first Math 307 midterm (Spring 2015)
  • A second Math 307 midterm (Spring 2015)
  • Math 307 final (Spring 2015)
  • A first Math 307 midterm (Fall 2012)
  • A second Math 307 midterm (Fall 2012)
  • Math 307 Final (Fall 2012)
  • A first Math 307 midterm (Fall 2011)
  • A final for Math 307
  • A final for Math 307 with solutions
  • Announcement for Math 311 (Summer 2019):

  • Syllabus for Math 311
  • Look up your grades for Summer 2019: (Use your student ID#)
  • HW13, due Monday, July 8th: p. 78f, WE 9-11
  • HW14, due Wednesday, July 10th: p. 93 CE 1, 4, 5, 6.
  • HW15, due Friday, July 12th: Prove Theorem 8.1.13 (try your best).
  • HW16, due Monday, July 15th: p. 109, CE 3, 4, 5.
  • HW17, due Wednesday, July 17th: p. 109, WE 2, 5.
  • HW18, due Monday, July 22nd: Find the line with the least square error through the points (-1,2), (1,3), (2,5), and (0,1). Find the plane with the least square error through the points (1,1,1), (1,2,-1), (2,1,2), (2,2,0).
  • HW19, due Wednesday, July 24th: Let A = [6, 4, -3; 1, 4, -1; 4, 5, -1]. Bring the matrix into upper triangular form via a orthogonal/unitary basis change.
  • HW20, due Monday, August 5th: p.127 CE 2e, 3a, d, f, 5.
  • HW21, due Wednesday, August 7th: p.126 WE 1-6.
  • First Math 311 midterm (Summer 2019)
  • Second Math 311 midterm (Summer 2019)
  • Exam I (fall 2016) with solutions.
  • Exam II (fall 2016) with solutions.
  • Final (fall 2016) with solutions.
  • First Math 311 exam with solution (Summer 2016).
  • Second Math 311 exam with solution (Summer 2016).
  • First Math 311 exam with solution (Spring 2016).
  • Second Math 311 exam with solution (Sping 2016).
  • A first exam for Math 311 (Spring 2012)
  • Another first exam for Math 311 Spring 2012)
  • A second exam for Math 311 (Spring 2012)
  • Another second exam for Math 311
  • A final for Math 311 (Spring 2007)
  • Another final for Math 311 (Spring 2012)
  • Another final for Math 311 (Spring 2016)