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Office | Phone | ||
---|---|---|---|

| (808) 956-4654 | heiner@math.hawaii.edu | |

Fall 2014 | |||

Course title | Course number | Room | Hours |

Introduction to Advanced Mathematics | Math 321 | Keller 403 | MWF 8:30 -- 9:20 |

Calculus I | Math 241 | Keller 302 | MWF 10:30 -- 11:20 |

Transformation Groups | Math 649 | Keller 313 | TR 9:00 -- 10:20 |

Office hours | and by appointment |

- Syllabus for Math 321
- Look up your grades for Fall 2014: (Use your student ID#)
- HW1, due Wednesday, August 27th: Section 1.1 # 2, 12, 16, 18, 20, 28, 40, 44, 52 and Section 1.2 # 6, 8, 18.
- HW2, due Friday, August 29th: Section 1.3, all even numbered problems.
- HW3, due Wednesday, September 3rd: Section 1.5, # 2, 10, Section 1.6, # 2, 5.
- HW4, due Friday, September 5th: Section 1.7 # 4, 11-14 and Section 1.8 # 2, 10, 12, 14.
- HW5, due Monday, September 8th: Section 2.3, all problems.
- HW6, due Wednesday, September 10th: Section 2.4 all problems, Section 2.5 Problems 1, 3, 9, and Section 2.6 Problems 12, 14.
- HW7, due Friday, September 12th: Section 2.7 all problems.
- HW8, due Monday, September 15th.
- HW9, due Wednesday, September 17th.
- HW10, due Friday, September 19th: Section 3.2, Problem 7 and Section 3.3 Problems 2, 3, 9.
- HW11, due Monday, September 22nd: Section 3.4, Problems 2, 6, 12.
- HW12, due Wednesday, September 24th: Chapter 4, Problems 6, 10, 22, 26.
- HW13, due Friday, September 26th: Page 110, Problems 12, 18, 26 and Page 118, Problems 4, 16.
- HW14, due Monday, September 29th: Chapter 10, Problems 4, 10, 15, 22, 34.
- HW15, due Wednesday, October 1st: Chapter 10, Problems 24, 29.
- HW16, due Monday, October 6th: Tower of Hanoi problem.
- HW17, due Wednesday, October 8th: Corrections for problems 2, 3, 5 from the exam.
- HW18, due Friday, October 10th: In class problems injective, surjective, associative, inverse relations.
- HW19, due Monday, October 13th: In class problems: Composition of everywhere defined relations, uniqueness of one-sided inverses.
- HW20, due Wednesday, October 15th: In class problems: Equivalent statements, injective, left-inverses, left-sided cancellation.
- HW21, due Friday, October 17th: In class problems: Equivalent statements, surjective, right-inverses, right-sided cancellation.
- HW22, due Monday, October 20th: In class problems: Induced maps between powersets (injectivity and surjectivity).
- HW23, due Wednesday, October 22th: In class problems: Induced maps between powersets (functoriality and complements).
- HW24, due Monday, October 27th: Problems 2, 7, and 15 from page 188f and Problems 4, 6, 8 from page 194f.
- HW25, due Wednesday, October 29th: Verify properties of addition and multiplication in Z_p.
- HW26, due Friday, October 31st: Welldefinedness of addition of pairs (as discussed in class).
- HW27, due Monday, November 3rd: Basic properties of the operation on pairs, asociativity, commutativity, etc.
- HW28, due Monday, November 5th: Verification of properties of the inclusion R to S, and defined in class.
- HW29, due Wednesday, November 12th: Corrections of exam with additional problems (union and intersection of equivalence relations).
- HW30, due Friday, November 14th: Ordering of pairs of integers (fractions), show that adding element preserves the order and so does the product with a positive pair.
- HW31, due Monday, November 17th: Set up as previous homework. Discuss sums of positives and product of positives.
- HW32, due Wednesday, November 19th: Show that (O1) - (O6) implies (P1) - (P3).
- HW33, due Friday, November 21st (extended to Monday).
- HW34, due Monday, November 24th.
- HW35, due Monday, December 1st: Problems 2, 10, 16 from Section 13.1 and Problems 2, 6, 10, 14 from Section 13.2.
- 1st 321 exam Spring 2008
- 1st 321 exam Spring 2010
- 1st 321 exam Fall 2012
- 1st 321 exam Summer 2013
- 1st 321 exam Spring 2014
- 2nd 321 exam Spring 2010
- 2nd 321 exam Fall 2012
- 321 final Spring 2008
- 321 final Spring 2012
- 321 final Fall 2012
- 321 final Summer 2013

- Syllabus for Math 241
- Look up your grades for Fall 2014: (Use your student ID#)
- HW0: Review the material in Chapter 1 of the book. Make sure you are familiar with it.
- HW1: Problems 4, 6, 12, 18 on page 42 of the textbook, due Friday August 29th.
- HW2: Problems 2, 4, 14, 28, 32, 46, 56 on page 52 of the textbook, due Wednesday, September 3rd.
- HW3: Problem 78 on page 52 and Problems 16, 24, 42, 54 on page 62f of the textbook, due Friday, September 5th.
- HW4: Problems 2, 6, 18, 42 and 56 from Section 2.4 and Problems 12, 14, 20 from Section 2.5, due Monday, September 8th.
- HW5: Problems 4, 6, 10, 14, 22, 32, 50, 70 from Section 2.6 due Wednesday, September 10th.
- HW6: Problems 4, 10, 22, 30 from Section 2.7 and Problems 6, 12, 24, 27-30 from Section 3.1, due Friday, September 12th.
- HW7: Problems 2, 6, 10, 12, 16, 22, 30, 38 from Section 3.2, due Monday September 15th.
- HW8: Problems 2, 8, 16, 22 from Section 3.3, due Wednesday September 17th.
- HW9: Problems 10, 16, 22, 26, 32, 38, 48, 52, 66 from Section 3.5, due Friday September 19th.
- HW10: Problems 4, 10, 18, 24, 42 from Section 3.6, due Monday September 22nd.
- HW11: Problems 4, 18, 30, 34 from Section 3.7, due Wednesday, September 24th.
- HW12: Problems 12, 18, 26, 30, 52 from Section 3.8, due Monday, September 29th.
- HW13: Problems 4, 12, 16, 28 from Section 3.9, due Wednesday, October 1st.
- HW14: Problems 6, 24, 28, 36, 38, 44 from Section 4.3, due Friday, October 10th.
- HW15: Problems 4, 14, 22, 36, 64 from Section 4.4, due Wednesday, October 15th.
- HW16: Problems 8 and 14 from Section 4.5, due Friday, October 17th.
- HW17: Problems 22 and 24 from Section 4.5, due Monday, October 20th. Also, find maximal area between sine curve and x-axis, between consecutive zeros.
- HW18: Problems 16 and 34 from Section 4.5, due Wednesday, October 22nd. Also, find the shape (height/radius) is the least expensive can. The material for top is twice as expensive as the material for sides and bottom. Cut top from hexagons, and recycle the waste at 50% of the cost.
- HW19: Problems 56 and 60 from Practice Exercises (p. 247-248) to Chapter 4, due Friday, October 24th.
- HW20: Problems 4, 14, 24 from Section 4.6, due Monday, October 27th.
- HW21: Problems 2, 4, 6, 10, 14, 20, 26, 30, 40 from Section 4.7, due Wednesday, October 29th.
- HW22: Problems 4, 8, 20 from Section 5.1, due Monday, November 3rd.
- HW23: Problems 2, 6, 12, 20 from Section 5.2, due Wednesday, November 5th.
- HW24: Problems 4, 8, 10, 16, 18, 20, 22 from Section 5.3, due Friday, November 14th (but Monday is fine as well).
- HW25: Problems 8, 14, 18, 24, 26, 38, 42 from Section 5.4, due Wednesday, November 19th.
- HW26: Problems 4, 8, 16, 38 46 from Section 5.5, due Friday, November 21st.
- HW27: Problems 10, 22, 26, 50, 54, 60, 70 from the Chapter 5 Practice Exercises (p. 306-308), due Monday, November 24th.
- HW28: Problems 4, 6, 10 from the Chapter 6.1, due Wednesday, November 26th.
- Extra Credit Preparation for the Final Homework.
- HW29: Problems 16, 24, 30, 40, 46 from the Chapter 6.1, due Wednesday, December 3rd.
- HW30: Problems 20, 26, 36 from the Chapter 6.2, due Friday, December 5th.
- 1st Midterm (Fall 2014 with solutions}
- 2nd Midterm (Fall 2014 with solutions}
- 1st Midterm (Fall 2009 with solutions}
- 2nd Midterm (Fall 2009 with solutions}
- 1st Midterm (Spring 2009}
- Previous 1st midterm with solutions
- Previous 2nd midterm with solutions
- Previous 1st midterm
- Previous 1st midterm
- Previous 2nd midterm (no solutions)
- Previous 2nd midterm (with solutions)
- Previous 2nd midterm (no solutions)
- Previous 1st midterm
- Previous 241 final (a)
- Previous 241 final (b)
- Previous 241 final (c)
- Previous 241 final (d)
- Previous 241 final (e)
- Previous 241 final (f)
- Solution for the 1st midterm, Spring 05
- Solution for the 2nd midterm, Spring 05
- Solution for the 2nd midterm.