### Final Project

*Due:*Fri, May 4, 12:20pm

[Final Project]

**Submission:**From around noon on Mon, Apr 30, an envelope will be affixed at the door of my office MATH 610. Place the completed project into the envelope before 12:20pm on Fri, May 4.

Purdue University Spring 2012

[Final Project]

Two schemes for calculating your final score will be used: with or without final project.

*Scheme I* = (3/10)ME1 + (3/10)ME2 + (1/5)FP + (1/5)HW

*Scheme II* = (3/8)ME1 + (3/8)ME2 + (1/4)HW

where FP, ME*i*, HW are the scores (in %) for Final Project, Midterm Exam *i*, Homework

You will have to contact me (by email) by Fri, Apr 27 (last day of classes) to tell whether you will be completing the Final Project (Scheme I will be used) or not (Scheme II will be used). If you do not contact me by then, your score will be calculated according to Scheme I.

where FP, ME

You will have to contact me (by email) by Fri, Apr 27 (last day of classes) to tell whether you will be completing the Final Project (Scheme I will be used) or not (Scheme II will be used). If you do not contact me by then, your score will be calculated according to Scheme I.

(All problems are from [B] unless stated otherwise)

**#10** Due Tue, Apr 24: from Munkres [M], §24 #2, 4, §25 #4,8

**#9** Due Thur, Apr 5: from Munkres [M], §21 #2, §22 #2,4, §23 #3

**#8** Due Thur, Mar 29: 45.G, 45.K, 45.M, 45.O, 45.P

[Partial Solutions]

**#7** Due Thur, Mar 22: 44.O, 44.R, 45.B, 45.C, 45.D

[Partial Solutions]

**#6** Due Tue, Mar 6: 43.R, 43.S, 44.G, 44.H (a), 44.J (Use 43.R), 44.K

[Partial Solutions]

**#5** Due Tue, Feb 28: 42.R, 42.S(a,c), 42.U, 43.B, 43.D, 43.Q

[Partial Solutions]

**#4** Due Tue, Feb 14: 42.A(a-c), 42.B, 42.D, 42.F(d,e), 42.O, 42.Q

[Partial Solutions]

**#3** Due Tue, Feb 7: 41.J, 41.K, 41.L, 41.R, 41.U, 41.V

[Partial Solutions]

**#2** Due Tue, Jan 31: 40.E, 40.L, 40.R, 40.S, 40.T, 40.U

[Partial Solutions]

**#1** Due Thur, Jan 19: 21.M, 39.E, 39.J, 39.T, 39.V, 39.W

[Partial Solutions]

[Partial Solutions]

[Partial Solutions]

[Partial Solutions]

[Partial Solutions]

[Partial Solutions]

[Partial Solutions]

[Partial Solutions]

[Partial Solutions]

Scheduled Thur, Apr 12 8:00-10:00pm in HAAS G066

The exam will cover §§43-45 of Bartle [B] and §§21-23 of Munkres [M].

[Practice Problems]

The exam will cover §§43-45 of Bartle [B] and §§21-23 of Munkres [M].

[Practice Problems]

Tue, Feb 28: §44 Content and Integral, Sets with Content

Thur, Feb 23: §43 Properties of Integral, Existence of Integral

Tue, Feb 21: Review for Midterm 1

Thur, Feb 16: §43 Content zero, Definition of Integral

Tue, Feb 14: §42 Inequality Constraints

Thur, Feb 9: §42 Extremum Problems with Constraints, Lagrange's Theorem.

Tue, Feb 7: §42 §42 Local Extrema, Second Derivative Test.

Thur, Feb 2: §41 Inversion Theorem (cont), Implicit Functions

Tue, Jan 31: §41 Surjective Mapping Theorem, Open Mapping Theorem, Inversion Theorem.

Thur, Jan 26: no class

Tue, Jan 24: §41 Class C1, Approximation Lemma, Injective Mapping Theorem

Thur, Jan 19: §40 Interchange of Order of Differentiation, Taylor's Theorem

Tue, Jan 17: §40 Chain Rule and Mean Value Theorems.

Thur, Jan 12: §39 Partial derivatives, differentiation (cont)

Tue, Jan 10: §21 Linear functions, §39 Partial derivatives, differentiation

Thur, Mar 1: §44 Characterization of Content Function, Further Properties of Integral.

Scheduled Wed, Feb 22, 8:00-10:00pm in REC 121

The exam will cover §§39-42.

We will have a review session on Tue, Feb 21.

New! [Practice Problems]

The exam will cover §§39-42.

We will have a review session on Tue, Feb 21.

New! [Practice Problems]

[B] R. Bartle,

[R] W. Rudin,