Math 1710 Information
Fall 2013
Syllabus
Office Hours for Reading Day and Finals Week:
Friday (Dec 6) 2:00-3:00
Monday (Dec 9) None
Tuesday (Dec 10) 9:30-11:00
Wednesday (Dec 11) 11:00-12:00
Thursday (Dec 12) 9:30-11
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/1710/2013Fall/Brand1710.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/1710/2013Fall/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 28
Introduction to slope of curves
and area under curves
Browse Chapter 1. This is all review.
- August 29
Introduction to the course
Find the slope of the tangent lint to the graph or y = 4x2 +
7x at the point where x = 2.
- August 30
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 3
Continuation of proof by
induction
Homework sheet on induction Do 1-6, Turn in
4 and 5
- September 4
More on proof by induction
Do problems 7-13 from the induction handout.
Turn in 8, 12, 13
- September 5
Introduction to limits.
Mathematica Limit
Notebook
Read Sections 2.1 and 2.2
- September 6
The formal definition of limit
Mathematica
Epsilon-Delta
- September 9
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 10
Epsilon-delta proofs for other
functions (mainly algebraic functions)
Limit Homework Sheet Do problems 1-7 and turn in 1, 2, 4, 6
- September 11
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 12
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 13
Basic properties of limits and
definition of continuous
Read Section 2.3 and 2.6
Project due October 7
- September 16
Limits involving infinity
Read Section 2.4
- September 17
Introduction to difference quotients and rates of change
Read Section 3.1
Page 54 7, 17, 19, 21, 27, 37, 45,
49, 53
- September 18
Basic rules of differentiation
Read Section 3.2
- September 19
Product and quotient rules
Read Section 3.3
Page 109 11-28, 33, 34 Turn in 11, 15, 19, 21, 27, 33
- September 20
SinxOverx.nb
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 23
Derivatives of trigonometric
functions
Read Section 3.4
Page 126 7-36 Turn in 11, 15, 17, 22, 24, 28, 36
- September 24
Chain rule
Read Section 3.6
Page 135 7-32 Turn in 8, 10,18, 22, 24, 26, 30, 52
- September 25
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 26
Derivative as a rate of change
Read Section 3.5
Page 162 5-26 Turn in
6,10,14,16,20,24
- September 27
Review
for exam 1
Page 145 11-24 Turn in 12,14,16,18,24
- September 30
Review for exam 1
- October 1
Exam 1
- October 2
Related rates
Read Section 3.8`
- October 3
Maxima and minima
Read Section 4.1
- October 4
Mean Value Theorem
Read Section 4.6
Max-Min Notebook
Page 169 7, 10, 13, 16, 17, 18, 23, 24,
25, 31, 42
- October 7
Geometry of the first
derivative
Read Section 4.2 up to the middle of Page 191
Project due at the beginning of class
- October 8
Geometry of the second derivative
and introduction to graphing functions using calculus
Read the rest of Section 4.2
Page 183 15, 17, 19, 20, 23, 24, 27, 28, 33,
37, 38, 45, 48, 53, 54
- October 9
Graphing functions
Read Section 4.3
Max-Min Mathematica Notebook
Page 231 7,11,12,14,15,16,20,24,26,33
- October 10
Derivative Exam
- October 11
Optimization Problems (Max/Min
problems)
Read Section 4.4
- October 14
More optimization problems
Page 206 7,8,13,14,17,18,25,26,40
- October 15
L’Hopital’s rule for finding limits
Read Section 4.7
- October 16
Newton’s method
Page 213 11, 12, 13,
14, 16, 19, 21, 23, 27, 36, 45
Newton’s Method Mathematica
Notebook
- October 17
Derivative Exam
- October 18
Antiderivatives
Read Section 4.8
Page 238 9, 11, 12, 15, 16, 18, 20, 23, 26, 28,
33, 34
Use Newton’s method to solve x = 2
sin(x). Can you find all the roots?
- October 21
Review for exam 2
- October 22
Review
for exam 2
Some solutions to the review problems 8,
1, 7, 5, 11, 25, 22, 9, 3, 2, 31, 18,33, 39,43,46,
29, 2,19,
16,7, 16,24,41,42
A couple of problems to be done in class today 33, 4
Page 247 9-40 odd numbered problems
Turn in 12,16,18,24,26,30,34,36,38
- October 24
Exam 2
- October 25
Area using Riemann sums
Read Section 5.1
- October 28
Definite integrals
Read Section 5.2
- October 29
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 30
Fundamental Theorem of
Calculus
Read Section 5.3
- October 31
Derivative Exam
- November 1
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 4
Numerical integration
Read Section 8.6 through the middle of Page 484
Mathematica
Notebook
- November 5
Error estimates using
numerical integration
Numerical Integration Notebook
Read the rest of Section 8.6
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
- November 6
Velocity and net change
Read Section 6.1
- November 7
Derivative Exam
- November 8
Area between curves
Read Section 6.2
Page 488 15, 16, 31, 32,
44, 45
Turn in 16, 32, 44 and
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 11
Volumes by slicing
Read Section 6.3
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 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?
- November 14
Derivative Exam
- November 15
More on volumes by slicing and
shells
- November 18
Length of curves
Read Section 6.5
Page 355 5, 6, 9, 10, 13, 14, 24, 25, 27, 28, 37, 38, 41, 42, 48
Turn in the even numbered problems
listed above.
- November 19 Surface
area and introduction to improper integrals
November 20
Center of mass
Page 361 3-9, You can use
numerical integration to do 11, 12 15,16
Turn in the evens
- November 21
No class today
- November 22
Review for exam 3
Some
Solutions Posted on the board.
- November 25
Center of Mass
- November 26
Exam 3
- November 27
Center of Mass
- December 2
Physics and Calculus
- December 3
Review for final
Some solutions presented in class: 11,39,
26, 56,
60,69 (Note that there is an error in
number 60.), 52,65, 81,XIII,
- December 4
Review
for final
We will start by going over these problems: 27,
23 (There is an error in the solution to
23 and the answer should be 1/3), 50 (In
50, the norm of the partition should approach 0, not infinity. n
approaches infinity to make the norm of the partition approach 0.), 9, 59, 64, 38, 25
- December 5
Review for final
Note that there are a few errors in some of the solutions as noted above.
We will be going over these starting at 9:30: 67,
10, 32,
30, LV,
66, 72,
74, 22,
17
- December 12
Final Exam (8:00 a.m.)
Last assignment due
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