Kelly MacArthur

Instructor Lecturer

Office: JWB 218
Email: macarthur@math.utah.edu

University of Utah
Department of Mathematics
155 S. 1400 E. JWB 233
Salt Lake City, UT
84112-0090 USA

Math5700 Capstone Course Spring, 2017

Projects

• Project 1 assignment due to me by Friday, February 17th

• Project 2 assignment:
From the book, do these problems:
page 64 #6 and page 130 #3 and page 132 #6a and page 475 #4 (For this problem, prove at least 8 out of 12 of these identities/relationships.)
Also, then choose two out of these four questions to do:
page 178 #2, 7; page 241 #3; page 242 #7
due Monday, April 17, in class or by Wednesday, April 19, by 4:30 pm

Here is a write-up (hint) for page 132 #6a that we started in class.

Homework

• HW #1:
From the book: do these problems, Chapter 1 #1, 2, 4, 5, 8, 9, 10, 12;
and do these Area/Perimeter Problems
due January 23 in class or by Tuesday, January 24 at 5:00 pm

• HW #2:
From the book: do these problems, 2.1.1 #3, 5, 8, 10, 12(a,b); 2.1.2 #6; 2.1.3 #1, 3, 5, 8
due January 30 in class or by Tuesday, January 31 at 5:00 pm

• HW #3: Inequalities Homework and do 2.1.4 #1, 9; 3.1.2 #7 from the book; due February 6 in class or by Tuesday, February 7 by 5:00 p.m.

• HW #4: 3.1.1 #2, 4, 5, 7, 9; 3.2.2 #1, 2, 3, 4, 5 ; due February 13 in class or by Tuesday, February 14 by 5:00 p.m.

• HW #5: 3.3.1 #3, 4; 3.3.2 #1, 2; 3.3.3 #2, 3b, 4, 5, 6; due March 6 in class or by Tuesday, March 7 by 5:00 p.m.

• HW #6: 3.3.1 #8, 9; 4.3.1 #2, 4; 4.3.3 #13; 5.1.1 #1, 2, 5; 5.1.2 #1, 4, 6, 8; and do the induction proofs here due March 20 in class or by Tuesday, March 21 by 5:00 p.m.

• HW #7: 4.3.4 #1, 5, 6, 10, 11, 14; 5.2.2 #2b; 5.2.3 #1, 8, 9, 12; 5.2.4 #12, 13, 18, 19; 5.2.5 #3, 6, 9 due April 3 in class or by Tuesday, April 4 by 5:00 p.m.

• HW #8 here; due April 10 in class or by Tuesday, April 11 by 5:00 p.m.

• HW #9: 9.1.2 #6; 9.1.3 #1, 5, 6, 7; do these problems (from here) due April 24 in class or by Tuesday, April 25 by 5:00 p.m.

Exam Reviews

• Midterm 1 Review
Note: For the exam, you may bring one 8.5x11 inch sheet of paper of notes (front and back) and a calculator. No other electronics are allowed for any reason during the exam.

• New Problems: Chapter 1 #6, 11; 2.1.1 #1, 6, 7; 2.1.2 # 1; 2.1.3 # 4

• Problems from Homework to consider doing again: Chapter 1 #10; 2.1.1 #5, 10; 2.1.3 #5; HW3 #1-8; 3.1.1 #5, 7; 3.2.2 #1, 5

IMPORTANT NOTE: I will expect you to know how to solve classic algebra and calculus word problems. For example, you need to be sure you remember how to differentiate and find min/max points of a function.

• Midterm 2 Review
Note: For the exam, you may bring one 8.5x11 inch sheet of paper of notes (front and back) and a calculator. No other electronics are allowed for any reason during the exam.

• New Problems: 4.1.2 #9; 4.3.3 #10; 4.3.4 #7, 9; 5.1.2 #3, 5, 11; 5.2.2 #1; 5.2.3 #2, 3; 5.2.5 #1

• Problems from Homework to consider doing again: 3.3.1 #4; 3.3.2 #1; 3.3.3 #3b, 6; 4.3.4 #10; 5.1.2 # 6; 5.1.3 #11; 5.2.4 #13, 18

(When you need a laughter break from studying, you can watch this. :) )

• Final Review
Note: For the exam, you may bring one 8.5x11 inch sheet of paper of notes (front and back) and a calculator. No other electronics are allowed for any reason during the exam.
In addition, you MUST turn in the take-home portion of the final exam at the beginning of the in-class final exam.

• The in-class portion of the final exam will focus on trigonometry proofs (verifying an identity), algebra and trigonometry problems similar to those we've been working throughout the semester and relationships between harmonic, geometric and arithmetic means.