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

Math6100 Concepts of Calculus
Summer, 2015

Class Notes

Notes from Class

Notes from Class

Notes from Class

Notes from Class

Notes from Class

Notes from Class

Notes from Class

Notes from Class

Notes from Class

Notes from Class

Notes from Class

Homework/Project

Homework #1: (due Tuesday, June 9)

Section 1.1 (pg 22-25) #1-23 odd, 27-59 odd

Homework #2: (due Wednesday, June 10)
Section 1.2 (pg 44-45) #1-18 all, 21, 22

Homework #3: (due Thursday, June 11)
Section 2.1 (pg 71-77) #1-57 odd
Section 2.2 (pg 100-102) #1-10 all, 11-29 odd
Section 2.3 (pg 107) #1-15 all

Homework #4: (due Monday, June 15)
Section 3.1 (pg 117-119) #1, 3-6 all (due Monday, June 15)
Section 3.2 (pg 127-129) #1, 3, 5, 8-13 all (due Monday, June 15)
Section 3.3 (pg 133-134) #1-5 all (due Monday, June 15)
Section 3.4 (pg 141-142) #1-41 odd (due Monday, June 15)

Homework #5: (due Tuesday, June 16)
Section 3.5 (pg 147-148) #1-23 odd, 26, 28
Section 4.1 (pg 163-166) #1-6 all, 7-15 odd, 16

Homework #6: (due Wednesday, June 17)
Section 4.2 (pg 172-174) #1-5 odd, 6, 7-19 odd, and page 175 #6

Homework #7: (due Thursday, June 18)
Section 4.3 (pg 182) #1-27 odd, 28
Section 5.1 (pg 196-198) #1-31 odd, 35
Section 5.2 (pg 202-203) #1-17 all, 19, 21, 23

Homework #8: (due Monday, June 22)
Section 5.3 (pg 206-207) #1-18 all

Homework #9: (due Tuesday, June 23)
Section 6.1 (pg 215-216) #1-3 all
Section 6.2 (pg 231-234) #1, 2, 3, 5, 6
Section 6.3 (pg 244-245) #1-23 odd, and do the problems in the Classroom Discussion 6.3.1 on pages 237-238

Homework #10: (due Wednesday, June 24)
Section 6.4 (pg 256-257) #2, 3, 4, 6
Section 6.5 (pg 261-262) #1-12 all
Section 7.1 (pg 284-285) #1-4 all, 5-10 all (do by hand and complete the integral), 11, 14, 15, 16, 18

Homework #11: (due Thursday, June 25)
Section 7.2 (pg 300-302) #1-8 all, 19
Section 7.3 (pg 321-328) #1, 3-18 odd, 20

Project (due Thursday, June 25):
1. V. Euler's Number e (pages 51-54)
2. Compound Interest (pages 182-187)
3. II. Riemann Sums for f(x) = x^3 (pages 235-236)

Algebra/Arithmetic/Trigonometry Reviews

Old Quiz (on Fraction Arithmetic and Rules of Exponents) and Key
Note: If you need review of rules of exponents, go here and watch 5.1 Integer Exponents and/or 7.1 Radicals and Rational Exponents lecture videos (or read through the post notes)..
Fraction Arithmetic (with Key)
Note: If you need review of arithmetic with rational expressions (fractions), go here and watch the 6.2, 6.3 and/or 6.4 lecture videos on arithmetic with rational expressions (or read through the post notes).
Dividing Polynomials (with Key)
Note: If you need a lecture video to remind you how to do polynomial division, you can go here and watch the 6.5 Dividing Polynomials video lecture. For synthetic division review, you can watch the 2.3 Synthetic Division lecture video on this page (or read through the post notes)..
Trigonometry Review (trig functions of common angles)
Practice finding asymptotes of rational functions and Key
A family of algebraic/trigonometric function graphs that you should know. (Note: these all have cool animations so you can see how transformations change the base graph.)