Math 1710 Information
Fall 2012
Syllabus
Office hours for the rest of the semester:
December 7 8:30-11:00
December 10 8:30-10:00
December 11 9:00-11:00
Schedule and Homework Assignments: Below each date you will
find the topic to be covered that day. This is tentative and it may change due
to unforeseen circumstances. It is best to check http://www.math.unt.edu/~brand/class/1710/2012Fall/Brand's
1710 - Fall 2012.htm often as it will be updated on a daily basis to
reflect changes. Homework is to be turned in at the beginning of class on the
days indicted. Follow the guidelines at
http://www.math.unt.edu/~brand/class/1710/2012Fall/homeworkexp.html
when preparing your homework to be graded.
Soon after class each day the homework assignments will be posted
here. You should do all the homework listed, but turn in only the
problems listed in bold face type.
- August 29
Introduction to slope of curves
and area under curves
Browse Chapter 1. This is all review.
- August 30
Introduction to the course
Find the slope of the tangent lint to the graph or y = 5x2 -
3x at the point where x = 1.
- August 31
Introduction to proof by induction.
Find the area bounded by x = 0, x = 1, the x-axis, and y = x2 +
2x. (Some helpful formulas appear on page 258 of the book.)
- September 4
Continuation of proof by
induction
Homework sheet on induction Do 1-6, Turn in
4 and 5
- September 5
More on proof by induction
Do problems 7-13 from the induction handout.
Turn in 8, 12, 13
- September 6
Introduction to limits.
Read Sections 2.1 and 2.2
- September 7
The formal definition of limit
- September 10
Epsilon-delta proofs of limits for polynomials
Do all the problems on the induction handout and turn in 14-18
Page 93 19,20,21,22
- September 11
Epsilon-delta proofs for other
functions (mainly algebraic functions)
Limit Homework Sheet Do problems 1-7 and turn in 1, 2, 4, 6
- September12
What does it mean for a limit not to exist?
Formal negation of the definition of limit.
Limit Homework Sheet Do problems 8-18, Turn
in 8, 10, 14, 17
- September 13
In-class
practice of proving limits (come to class at 9:30)
Limit Homework Sheet Do problems 19-26 Turn in
19, 21, 23, 24, 25, 26
- September 14
Basic properties of limits and
definition of continuous
Read Section 2.3 and 2.6
- September 17
Limits involving infinity
Read Section 2.4
From Limit Review Sheet, Student solutions:
Problem 20, Problem 23,
Problems 11 and 18, Problems
24 and 1, Problems 12 and 21, Problem 19
Turn in corrections for numbers 18,
20, and 24. Also look at numbers 12, 21, and 19 and either say they are
correct or else correct them.
- September 18
Introduction to difference quotients and rates of change
Read Section 3.1
Page 54 7, 17, 19, 21, 27, 37, 45,
49, 53
- September 19
Basic rules of differentiation
Read Section 3.2
- September 20
Product and quotient rules
Read Section 3.3
Page 109 11-28, 33, 34 Turn in 11, 15, 19, 21, 27, 33
- September 21
Derivative of sin x and
related limits
Read Pages 129 through the middle of 131
Page 118 7-41 Turn in 19, 21, 23, 25, 33, 37, 39
- September 24
Derivatives of trigonometric
functions
Read Section 3.4
Page 126 7-36 Turn in 11, 15, 17, 22, 24, 28, 36
- September 25
Chain rule
Read Section 3.6
Page 135 7-32 Turn in 8, 10,18, 22, 24, 26, 30, 52
- September 26
Implicit differentiation
Read Section 3.7
Page 154 7-46, 56,57,58 Turn in
8, 10, 12, 14, 22, 34, 38, 44,56
- September 27
Derivative as a rate of change
Read Section 3.5
Page 162 5-26 Turn in
6,10,14,16,20,24
Speed notebook
- September 28
Review for exam 1
Page 145 11-24 Turn in 12,14,16,18,24
Pictures of solutions to review given in class.
13, 15, 18, 24, 43, 19,
20, 35, 40, 35,50,59, (Watch out! 59 is incorrect. Can you
correct it?). We have not gone over the rest of these. Check that they are
correct. 44, 51, 72, 46
- October 1
Review for exam 1
- October 2
Exam 1
- October 3
Related rates
Read Section 3.8`
- October 4
Maxima and minima
Read Section 4.1
- October 5
Mean Value Theorem
Read Section 4.6
Max-Min Notebook
Page 169 7, 10, 13, 16, 17, 18, 23, 24,
25, 31, 42
- October 8
Geometry of the first
derivative
Read Section 4.2 up to the middle of Page 191
Page 183 15, 17, 19, 20, 23, 24, 27, 28, 33,
37, 38, 45, 48, 53, 54
- October 9
Geometry of the second derivative
and introduction to graphing functions using calculus
Read the rest of Section 4.2
- October 10
Graphing functions
Read Section 4.3
Page 231 7,11,12,14,15,16,20,24,26,33
- October 11
Derivative Exam
- October 12
Optimization Problems (Max/Min
problems)
Read Section 4.4
- October 15
More optimization problems
Page 206 7,8,13,14,17,18,25,26,40
- October 16
L’Hopital’s rule for finding limits
Read Section 4.7
- October 17
Newton’s method
Page 213 11, 12, 13, 14, 16, 19, 21, 23, 27, 36,
45
Newton’s Method Mathematica
Notebook
- October 18
Derivative Exam
- October 19
Antiderivatives
Read Section 4.8
- October 22
Review
for exam 2
Page 257 9-40 odd numbered problems
Turn in 12,16,18,24,26,30,34,36,38
From Review Sheet 53,11,51, 14,1, 1,6, 13,44,41, 4,14,51, 43
- October 23
Review
for exam 2
- October 24
Review
for exam 2
From Review Sheet 3,27,29, 21, 26,35
- October 25
Exam 2
- October 26
Area using Riemann sums
Read Section 5.1
- October 29
Definite integrals
Read Section 5.2
- October 30
Basic properties of definite
integrals
Page 262 11, 15, 17, 18, 23, 24, 27, 28
Page 276 19, 20, 23, 24, 27, 28, 33, 34, 39, 41
Turn in all the specified evens from both exercise sets (Page 262 and
276)
- October 31
Fundamental Theorem of
Calculus
Read Section 5.3
- November 1
Derivative Exam
- November 2
Substitution in Antiderivatives
Page 290 11, 13, 17, 18, 23, 24, 27, 28, 33, 34, 37, 38, 39, 40, 45, 46,
49, 50, 52, 73, 74, 85
Turn in the evens from the above list
Read Section 5.5
- November 5
Numerical integration
Read Section 8.6 through the middle of Page 484
Page 308 1, 17, 18, 19, 20, 23, 24, 25, 26, 29, 30, 33,37, 38, 43, 44, 45,
46, 54, 57, 58, 63, 66
Turn in the evens listed above
Mathematica
Notebook
- November 6
Error estimates using
numerical integration
Read the rest of Section 8.6
Page 488 15, 16, 31, 32,
44, 45
Turn in 16, 32, and 44
- November 7
Velocity and net change
Read Section 6.1
Find how many subintervals it would take to compute the integral form 0
to 1 of f(x) = x sin x numerically with an accuracy of at least .00001
using the Trapezoid rule and using Simpson’s rule.
- November 8
Derivative Exam
- November 9
Area between curves
Read Section 6.2
Page 323 11, 12, 13, 14, 21, 22, 23, 24,
26, 30, 31
Turn in the evens listed above
- November 12
Volumes by slicing
Read Section 6.3
Page 332 9, 11, 12, 15, 16, 19,
20, 25, 26, 31, 32, 35, 36, 47, 48, 65
Turn in evens form the above list
- November 13
Volumes by slicing
Read Section 6.3
- November 14
Volumes by shells
Read Section 6.4
Page 344 9, 10, 13, 14, 15, 16, 19, 20, 23, 24, 27, 28, 33, 34, 42,
43, 50
Turn in the even numbered problems
listed above. Also, there is something wrong with problem 50. What is it?
Project – Due December 5 at the start of
class
- November 15
Derivative Exam
- November 16
More on volumes by slicing and
shells
- November 19
Length of curves
Read Section 6.5
- November 20
Surface area and introduction to improper integrals
Page 5, 6, 9, 10, 13, 14, 24, 25, 27, 28, 37, 38, 41, 42, 48
Turn in the even numbered problems listed
above.
- November 21
Center of mass
- November 26
Review
for exam 3
- November 27
Review for exam 3
- November 28
Center of Mass
- November 30
Review for Exam 3
Solutions to Review Problems
2,6,8, 11,8,14,
7, 17, 21,24, 26,28,29, 25,14,17, 3,4,5, 13,19
- December 3
Physics and Calculus
- December 4
Exam 3
- December 5
Review for final
Project Report Due – Be sure to turn in the
Group Evaluation Form along with the report
- December 6
Review
for final
- December 12
Final Exam (8:00 a.m.)
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