Karl Heinz Dovermann,   Professor

Research Papers

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 2020
Course title Course number Room Hours
Introduction to Advanced Mathematics Math 321 online MWF 9:00 -- 10:20
Introduction to Linear Algebra Math 311 online TR 10:30 -- 11:50
Office hours
contact me for an
online appointment



Announcement for Math 244 (Fall 2020):

Announcement for Math 307 (Summer 2019):

  • Syllabus for Math 307
  • Look up your grades for Summer 2019: (Use your student ID#)
  • 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 (Fall 2019):

  • Syllabus for Math 311
  • HW1, due We June 10th (submit online) Chapter 1, CE 2, WE 1, and Chapter 2, CE 4, WE 3
  • HW2, due Fr June 12th (submit online) Chapter 3, CE 2, WE 3, and Chapter 4, CE 3, WE 1
  • HW3, due Mo June 15th (submit online) Chapter 4, CE 5, WE 2,3
  • HW4, due We June 17th (submit online) See end of class notes.
  • HW5, due Fr June 19th (submit online) See end of class notes.
  • HW6, due Mo June 22nd (submit online) Write the following matrix as a product of elementary ones: [1, 0, 1; 2, -1, 3; 0, 5, 2]. Entries are separated by commata, rows by semicola. .
  • HW7, due We June 24th (submit online) Chapter 5, CE 2, 5, WE 2
  • HW8, due Fr June 26th (submit online) Chapter 5, CE 3, WE 5
  • HW9, due Mo June 29th (submit online) Chapter 6, CE 1a,b,c,f and 3, WE 1,2,3
  • HW10, due We July 1st (submit online) Chapter 6, CE 2, 4, 5, WE 4, 5.
  • HW11, due We July 8th (submit online) See end of class notes.
  • HW12, due Fr July 10th (submit online) Chapter 7, CE 4, WE 1, 2.
  • HW13, due Mo July 13th (submit online) Chapter 7, CE 5,6, WE 3, 4.
  • HW14, due We July 15th (submit online) Chapter 7, WE 5, 10. Repeat the proof of Th 7.5.3 with the matrix [2,2;1,2]
  • HW15, due Fr July 17th (submit online) Chapter 7, WE 6, 7. Chapter 8, CE 5.
  • HW16, due Mo July 20th (submit online) Chapter 8, CE 6, WE 2, 3 4.
  • HW17, due We July 22nd (submit online) Compute Vandermonde's determinant.
  • HW18, due Fr July 24th (submit online) Consider the matrix [1,2,2;1,2,3;0,-1,0]. Find eigen values and vectors. If possible, diagonalize the matrix.
  • HW19, due Mo July 27th (submit online) Show that similar (~) matrices have the same eigen values. Similar means: A ~ B if there is a non-singular matrix P and A = P^(-1) B P.
  • HW20, due We July 29th (submit online) Chapter 9, WE 3, 4, 5.
  • HW21, due We August 5th (submit online) Orthonormalized the set of three vectors, see class notes.
  • Look up your grades for Summer 2020: (Use your student ID#)
  • First Math 311 midterm (Summer 2020)
  • Second Math 311 midterm (Summer 2020)
  • First Math 311 midterm (Fall 2019)
  • Second Math 311 midterm (Fall 2019)
  • 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).
  • Final for Math 311 (Spring 2016)
  • First exam for Math 311 (Spring 2012)
  • First exam for Math 311 with solutions (Spring 2012)
  • A second exam for Math 311 with solutions (Spring 2012)
  • Another second exam for Math 311
  • A final for Math 311 (Spring 2007)
  • Another final for Math 311 (Spring 2012)
  • Announcement for Math 321 (Spring 2019):