## Calculus Lecture Notes for Math 161

Office Phone Email
Keller Hall 405
(808) 956-4654 heiner@math.hawaii.edu

Spring 2024
Course title Course number Room Hours
Calculus IV Math 244 Keller 413 MWF 12:30 -- 1:20
Linear Algebra Math 411 Keller 413 MWF 9:30 -- 10:20
Fibre Bundles Math 649 PSB 317 TR 9:00 -- 10:20
Office hours
MWF 10:30 -- 11:20, after 1:30
and R 10:30 -- 11:30, or by appointment

## Announcement for Math 411 (Spring 2024):

• Syllabus for Math 411
• HW1, due 1/10: page 33f, #2, 5
• HW2, due 1/12: page 40, #8, 9, and page 49, #14
• HW3, due 1/17: page 49, #9, 13
• HW4, due 1/19: page 74, #12, 13
• HW5, due 1/22: Let V and W be finite dimensional vector spaces. In terms of the bases of V and W, find a basis of Hom(V,W).
• HW6, due 1/24: page 5, #6, 7, 8.
• HW7, due 1/26: page 16, #4. Solve the problem twice, once using real coefficients, once using coefficients in the field with 5 elements.
• HW8, due 1/29: page 26f, #2, 9, 10, 12.
• HW9, due 1/31: page 95, #5, 7.
• HW9, due 2/2: We said that A~B if B is obtained for A by elementary row and column operations. Find a numerical invariant that describes the equivalence class.
• HW11, due 2/5: page 105, #2, 4.
• HW12, due 2/7: page 115f, #1, 5, 6.
• HW13, due 2/9: page 123, #9.
• HW14, due 2/12: page 127, #3, 5.
• HW16, due 2/21: page 139, #1, 5, 6.
• HW 17, due 2/23
• HW18, due 2/26: page 155, #2 (for an nxn matrix), 8, 13.
• Math 411, 1st exam Spring 24
• Math 411, previous 1st exam
• Math 411, previous 2nd exam
• Math 411, previous final

## Announcement for Math 311 (Spring 2022):

• Syllabus for Math 311
• Math 311 final (Spring 2022)
• First Math 311 midterm (Spring 2022)
• Second Math 311 midterm (Spring 2022)
• First Math 311 midterm (Summer 2020)
• Second Math 311 midterm (Summer 2020)
• Math 311 final (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)