EA102 Construction Materials
TYPES OF PORTLAND CEMENT (CSA Standard A5)
Type 10 Normal Portland Cement
 generalpurpose cement
 used where:
~ concrete not subject to specific exposures (eg., sulphat
Moisture States in Aggregate
1. No Moisture: Oven Dried for 18+ hrs at 110C
2. Air Dried: Absorbs moisture from the air
3. Saturated Surface Dried, SSD: all pores spaces filled
with water but no water
EA102 Construction Materials
AIMS OF CONCRETE MIX DESIGN
Acceptable Workability
Strength
Durability
Good Appearance
Economy
FACTORS AFFECTING GOOD QUALITY CONCRETE
Low WaterCement Ratio
Air Entrainme
Data Sheet 20
Washed Sieve Analysis of Asphalt Concrete Aggregate
August, 2008
MOHAWK COLLEGE OF APPLIED ARTS AND TECHNOLOGY
Department of Building and Construction Sciences
Project:
Group:
201213301
Data Sheet 20
Washed Sieve Analysis of Asphalt Concrete Aggregate
August, 2008
MOHAWK COLLEGE OF APPLIED ARTS AND TECHNOLOGY
Department of Building and Construction Sciences
Project:
Group:
201213301
Statistical Comparison of Two Treatments
The following is a brief description of the statistical tests used to
perform a nonpaired comparison of the effects of using two different
treatments in any p
Data Sheet 20
Washed Sieve Analysis of Asphalt Concrete Aggregate
August, 2008
MOHAWK COLLEGE OF APPLIED ARTS AND TECHNOLOGY
Department of Building and Construction Sciences
Project:
Group:
201213301
Data Sheet 20
Washed Sieve Analysis of Asphalt Concrete Aggregate
August, 2008
MOHAWK COLLEGE OF APPLIED ARTS AND TECHNOLOGY
Department of Building and Construction Sciences
Project:
Group:
201213301
Calculus of One and Several Variables and Linear Algebra
MA 1 abc

Fall 2014
Practice problems Final Exam
1. Derive identities for sin 3 and cos 3 by calculating ei3 = (ei )3 .
2. Show that if z and w are complex numbers then zw = zw.
3. If z = a + ib and w = c + id are c
Calculus of One and Several Variables and Linear Algebra
MA 1 abc

Fall 2014
MATH 1A HW6 SOLUTIONS
1. Section 4.3 Question 2 [10 pts total]
Problem. Prove that
X
1
n
log
n
log(log
n)
n=2015
diverges.
Solution. Using the integral test explained in cranks, the series in the prob
Calculus of One and Several Variables and Linear Algebra
MA 1 abc

Fall 2014
Solution to HW 5, Ma 1a Fall 2016
Section 3.8 Exercise 1: Let f be a twice continuously differentiable function
on the real line with f 0 (x) > 1 for every value of x and f 00 (x) 1 for every
value
Calculus of One and Several Variables and Linear Algebra
MA 1 abc

Fall 2014
Solutions for Problem set 4
3.1.1 Fix > 0. At each point a of the interval [c, d], let a > 0 be the least upper
bound of the set of for which x a < implies that f (x) f (a) < . (We have that
a > 0
Calculus of One and Several Variables and Linear Algebra
MA 1 abc

Fall 2014
Problem Set 3, Due October 17,2016 2:00 A.M.
From the official course notes Calculus for Cranks:
From Section 2.1 Exercises 2
From Section 2.2 Exercises 2,6
From Section 2.3 Exercises 1,3
1
Calculus of One and Several Variables and Linear Algebra
MA 1 abc

Fall 2014
Problem Set 4, Due October 24,2016 2:00 A.M.
From the official course notes Calculus for Cranks:
From Section 3.1 Exercise 1
From Section 3.2 Exercise 1
From Section 3.3 Exercises 1,2
From Section 3.4
Calculus of One and Several Variables and Linear Algebra
MA 1 abc

Fall 2014
Problem Set 2, Due October 10,2016 2:00 A.M.
From the official course notes Calculus for Cranks:
From Section 1.3 Exercises 6,7
From Section 1.4 Exercises 2,3,5
1
Calculus of One and Several Variables and Linear Algebra
MA 1 abc

Fall 2014
Problem Set 1, Due October 3,2016 2:00 A.M.
From the official course notes Calculus for Cranks:
From Section 1.2 Exercises 4,5,6,7
From Section 1.1 Exercise 7 (but feel free to use your results and id
Calculus of One and Several Variables and Linear Algebra
MA 1 abc

Fall 2014
Problem Set 7, Due November 21,2016 2:00 A.M.
From the official course notes Calculus for Cranks:
From Section 4.5 Exercises 1,2
From Section 5.1 Exercises 2
From Section 5.3 Exercises 1,2
1
Calculus of One and Several Variables and Linear Algebra
MA 1 abc

Fall 2014
Problem Set 5, Due November 14,2016 2:00 A.M.
From the official course notes Calculus for Cranks:
From Section 4.3 Exercises 2,3,4
From Section 4.4 Exercises 1,2
1
Calculus of One and Several Variables and Linear Algebra
MA 1 abc

Fall 2014
Problem Set 5, Due November 7,2016 2:00 A.M.
From the official course notes Calculus for Cranks:
From Section 3.8 Exercise 1
From Section 4.1 Exercise 1,4,5,6
1
Calculus of One and Several Variables and Linear Algebra
MA 1 abc

Fall 2014
Problem Set 8, Due November 28,2016 2:00 A.M. Blanket extension to
November 30, 2016 4:00 P.M.
From the official course notes Calculus for Cranks:
From Section 6.1 Exercises 1,2,3
From Section 6.2 Exe
Calculus of One and Several Variables and Linear Algebra
MA 1 abc

Fall 2014
Problem Set 6, Due November 17,2014
From the official course notes Calculus for Cranks:
From Section 4.1 Exercise 1
From Section 4.2 Exercise 1
From Section 4.3 Exercise 1
1
Calculus of One and Several Variables and Linear Algebra
MA 1 abc

Fall 2014
Review Problems: Math 1a Midterm 2014
These arent problems that will be on the midterm. These arent problems you have
to turn in. These are problems that might help you if you study them.
1. Use induc
Calculus of One and Several Variables and Linear Algebra
MA 1 abc

Fall 2014
Problem Set 7, Due November 12,2014
From the official course notes Calculus for Cranks:
From Section 4.4 Exercises 1,2
From Section 4.5 Exercises 1,2
1
Calculus of One and Several Variables and Linear Algebra
MA 1 abc

Fall 2014
Problem Set 5, Due November 10,2014
From the official course notes Calculus for Cranks:
From Section 3.5 Exercise 1,2
From Section 3.6 Exercise 1
From Section 3.7 Exercises 1,2
1
Calculus of One and Several Variables and Linear Algebra
MA 1 abc

Fall 2014
Problem Set 8, Due December 3,2014
From the official course notes Calculus for Cranks:
From Section 5.1 Exercises 1,2
From Section 5.2 Exercises 1,2
From Section 5.3 Exercise 1
1
Calculus of One and Several Variables and Linear Algebra
MA 1 abc

Fall 2014
Problem Set 3, Due October 27,2014
From the official course notes Calculus for Cranks:
From Section 3.1 Exercise 1
From Section 3.2 Exercise 1
From Section 3.3 Exercises 1,2,3
1
Calculus of One and Several Variables and Linear Algebra
MA 1 abc

Fall 2014
Problem Set 3, Due October 20,2014
From the official course notes Calculus for Cranks:
From Section 2.2 Exercises 3,4
From Section 2.3 Exercises 1,2,3
1
Calculus of One and Several Variables and Linear Algebra
MA 1 abc

Fall 2015
1
Problem 3.3.1
Since f is O(1), there are > 0 and a constant C so that if h < then f (h) < C. Since the denition of
limit as h 0 only depends on values of h smaller than , we have
lim
h0
f (h)g(h)