Math 1710 Information
Fall 2010
Syllabus
Office hours during week of finals:
Monday 8:30-10:00
Tuesday 9:00-11:00
Wednesday 11:00-12:00
Thursday 9:00-11:00
Final Exam Wednesday 8:00-1:00
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 Math 1710
Information 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/1710/2010Fall/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 26
Introduction to the course
No homework
- August 27
Introduction to slope of
curves and area under curves
Browse Chapter 1. This is all review.
No homework
- August 30
Introduction to proof by induction.
Find the slope of the tangent lint to the graph or y = 5x2 - 3x
at the point where x = 1.
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. Look at
Example 4 and in the box at the bottom of the page.)
- August 31
Continuation of proof by
induction
- September 1
More on proof by induction
Do problems 1-11 from the induction handout.
Turn in 4, 5, 8
- September 2
Introduction to limits.
Read Sections 2.1.
Do problems 12-18 on the induction handout and turn them all in.
- September 3
The formal definition of limit
Read Section 2.3
Page 81 1,2,3,4,5,6,7,8,9,10
Page 111 1,3,4,6
- September 7
Epsilon-delta proofs of limits for polynomials
Homework Sheet
1: Turn in problems 1-5
- September 8
Epsilon-delta proofs for other
functions (mainly algebraic functions)
From Homework Sheet 1: Do 6-12. Turn
in 7, 9, 11
- September 9
In-class practice of proving
limits (come to class at 9:30) from Practice Sheet
- September 10
What does it mean for a limit not to exist?
Formal negation of the definition of limit.
From Homework Sheet 2: Do 1-10. Turn in the
even numbered problems from 1-10.
- September 13
Basic
properties of limits and definition of continuous
Read Section 2.2 and 2.6
From Homework Sheet 2: Turn in 11-14
- September 14
Limits involving infinity
Read Section 2.5
Page
89 3, 7, 11, 15, 18, 23, 27, 31, 32,
33, 35, 37, 39, 41, 47, 48, 51, 52, 53, 55, 58
Homework sheet 2 15-22 Turn in 16,18,20
- September 15
Introduction to difference quotients and rates of change
Read Section 3.1
- September 16
Basic rules of differentiation
Read Section 3.2
Page 113 40, 47, 49, 50, 59, 60, 67, 70
Page 122 3, 7, 9, 11, 14,
15, 17, 18
Page 155 1, 3, 5, 6, 9, 10
- September 17
Product and quotient rules
Read Section 3.4
Page 169 1-12, 29, 30, 41, 42 (Turn them all in)
- September 20
Derivative of sin x and
related limits
Read Section 3.4
Get good at computing derivatives
Page 169 13-28, 31-38, 39, 40, 43, 44, 45, 46 Turn in 16,
20, 22, 24, 40, 44, 46
Also, prove the formula for the
derivative of xn for
natural number using induction. Then use the quotient rule to prove the
formula for all integers.
- September 21
Derivatives of trigonometric functions
From Trig limit homework sheet do all five
problems and turn them in
- September 22
Chain rule
Read Section 3.5
Get really good at computing derivatives
Page 188 1-30, 47,48 Turn in
4,8,12,16,20,24,28
- September 23
Derivative Exam
Page 201 1-52 Turn in 4,8,14,18,22,26,28,32,36,44,48,52
- September 24
Implicit differentiation
Read Section 3.6
Become an expert at computing derivatives
- September 27
Derivative as a rate of change
Read Section 3.3
- September 28
Related rates
Read Section 3.7
Page 211 1, 5, 9, 11, 17, 19, 20, 21, 23, 24, 27, 28, 29, 30,
31, 32, 33, 34, 37, 38, 41, 42, 43, 44, 45, 46,47,49,52 Turn in the
evens
- September 29
More on related rates
- September 30
Review for Exam 1
Page 179 1,3,4,7,9,10,13,15,16,17,18,23,25,28
Page 188 45,46
Page 201 95,96,100
- October 1
No class today
- October 4
Review for Exam 1
October 5
Exam 1
- October 6
More related rates
- October 7
Derivative Exam
- October 8
Maxima and minima
Read Section 4.1
Page 218 1,3,5,6,9,10,13,14,17,18,19,20,21,22,24,30,31,34,35
- October 11
Mean Value Theorem
Read Section 4.2
- October 12
Geometry of the first
derivative
Geometry of the second derivative and introduction to graphing functions
using calculus
Read Sections 4.3 and 4.4
Page 252 1,5,7,10,14,17,18,22,23,27,28,29,30,31,32,39,40,44,45,46,51
- October 13
Optimization Problems (Max/Min
problems)
Read Section 4.5
Page 260 1,3,4,5,6,7,11,12,17,18,20,22,23,31,32,33,34,37,38,41,42
(Note: you can turn this in on Friday)
- October 14
Derivative Exam
- October 15
L’Hopital’s rule for finding limits
Read Section 4.6
Page 262 51,52, 56, 58
Page 266 3, 4, 6,7,8,9,11,14, 21, 22,35,
26, 30, 31, 32,41,43
- October 18
Newton’s method
Read Section 4.7
Page 274 1,5, 6, 12,
17, 20, 25, 26, 32, 33, 43, 44, 49, 60
Sketch the following functions. Use the first two derivatives,
symmetry, and asymptotes as appropriate.
f(x)=(2x-5)/(x+3}
f(x)=(2x^2)/(x^2+1)^(1/2)
f(x)=(2x)/(x^2+x+2
g(x) = x^3+3/x
f(x)=(x^2-x-6)/(x^2-2x-3)
- October 19
Antiderivatives
Read Section 4.8
Page 285 3, 6, 7, 10, 11,13,19, 22,
23,25, 26,27, 28, 29,31, 32, 33, 40, 44, 53,
56, 59
- October 20
Area using Riemann sums
Read Section 5.1
Page 298 1,3,7,11,12,13,14,17,21,22,23,27,28,30,33,35,36,37,40
- October 21
Derivative exam
- October 22
Class canceled
- October 25
Definite integrals
Read Section 5.2
Page 305 1,3, 4, 7, 8, 11, 12, 16,
17,19, 22, 23, 29
- October 26
Basic properties of definite
integrals
Read Section 5.3
- October 27
Review for Exam 2
October 28
Derivative Exam
- October 29
Review for Exam 2
Page 314 1,5,9,11,13,14,18,23,29,30,35,39,41,43,44,47,48,53,55,56,61,65,66,67,70,75,79,82
- November 1
Review for Exam 2
Page 333 3,5,8,9,11,12,13,15,21,22
(After completing problems 21 and 22, think about how the limit fact you
needed was derived. Write a short paragraph discussing if this
really proves the formula for the area of a circle. Think about
"circular reasoning" - no pun intended.
- November 2
Exam 2
Page 342 3,6,7,9,11,12,29,30,33,34,35,38
- November 3
Fundamental Theorem of
Calculus
Read Section 5.4
- November 4
Derivative Exam
- November 5
Substitution in Antiderivatives
Read Section 5.5 and 5.6
Page 352 1,3,7,10,11,15,17,18,27,29,30,33,43,44,49,51,52,55,56,61,63,64,65,66,67,69
- November 8
Areas Between Curves
- November 9
Numerical integration
Read Section 8.7
Page 365 1,4,5,6,10,11,12,13,19,20,24,27,30,35,36,41,42,45,52,63,64
Page 374 1, 4, 5, 7, 9,11, 12, 13,19, 20,
21, 22, 25, 26, 27, 32,35,39, 40, 46,47, 54
- November 10
Error estimates using
numerical integration
Page 383 1,9, 10, 13, 14, 19,23, 24,
25,33, 34, 43, 45, 46, 53, 54, 61, 66, 71, 74,
81, 86
Project – Fuel Gauge
Numerical Integration Mathematica
Notebook
- November 11
Derivative Exam
- November 12
Page 613 1,3,5,6,7,8,9,10,11,12,15,17,18,19,23,24,30
- November 15
Volumes by slicing
Read Section 6.1
- November 16
Volumes by shells
Read Section 6.2
Page 405 1,2,3,4,9,10,11,14,15,17,19,20,23,25,27,31,33,35,36,40,45,47
- November 17
Length of curves
Read Section 6.3
Page 414 1,3,5,8,11,13,15,18,19,20,22,23,24,27,28
- November 18
Derivative Exam
- November 19
Areas of surfaces of revolution
Page 423 1,4,5,9,10,13,14,15,16
- November 22
Center of mass and moments of
inertia
Read section 6.4
Page 444 3, 6, 13, 16, 28
- November 23
Review for exam 3
- November 24
Review for exam 3
Page 434 1,3,45,8,11,13,15,18,20,22,23,24,27,28
- November 29
Review for exam 3
Review Sheet for exam 3
- November 30
Exam 3
- December 1
Pappus’ Theorem and is one infinity bigger than
another?
Read Section 6.4
- December 2
Derivative Exam
- December 3
More center of mass and Pappus’ Theorem
Read Section 6.5
- December 6
Work, force and pressure
Read Sections 6.6 and 6.7
- December 7
Review for final
- December 8
Review for final
- December 9
Review for final
- December 15
Final Exam (8:00 a.m.)
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