Math 1710.621-T (Class
meets: M-F: 10-10:50am) Information
SPRING 2012
·
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 this
page as it will be updated on a daily basis to reflect changes. 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.
|
Date |
What we covered in class |
Assigned homework |
Answer key |
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1/17 (Tuesday) |
Introduction to the course |
Handout for reviewing
trigonometry (Due: 1/20) |
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1/18 (Wednesday) |
Introduction to
slope of curves and area under curves |
1. Find
the slope of the tangent lint to the graph or y = 5x2 - 3x at the
point where x = 1. (using the definition of derivative) 2.
Find the area bounded by x = 0, x = 1, the
x-axis, and y = x2 + 2x. (using Riemann sums); in short, Approximate the area by using 100
rectangles.
(Due: 1/20) |
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1/19 (Thursday) |
No class! |
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1/20 (Friday) |
Introduction to proof by
induction (Review for Pre-Calculus) |
For any natural number n, 1. Prove that
1+3+9+27+ …+3^n=(3^{n+1}-1)/2 2. Prove that
1+3+5+ …+(2n-1)=n^2 3. Prove that
1*2+2*3+3*4+ …+n(n+1)=(n(n+1)(n+2))/3 (Due: 1/27) |
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1/23 (Monday) |
Continuation of proof by
induction (Review for Pre-Calculus) |
Do problem #1-9 from the
handout. Turn in #1,4,8 (Due: 1/27) |
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1/24 (Tuesday) |
Strong induction proof |
Do problem #10, 11, 12, 13, 14, 15,-16 from the handout. (Due: 1/27) |
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1/25 (Wednesday) |
Introduction to limits –part
1; finding limits graphically |
No homework! |
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1/27 (Friday) |
Quiz#1 Introduction to limits
–part 2; finding limits algebraically. |
Read Section 2.2 and do #2,
5, 6, 10, 21, 31
(p43-45). Read Section 2.3: and do
#10, 38, 45, 47 (p54-56) Read Section 2.4: and do
#1, 10, 18, 21, 45 (p63-65) (Due: 2/3) |
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1/30 (Monday) |
Exercises for limits
(Section 2.2, 2.3 and 2.4) |
Read Section 2.7 |
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1/31 (Tuesday) |
Informal and formal
definition of limits: Epsilon-delta proof for linear functions |
Section 2.7: # 9, 11, 19, 20 (Due: 2/3) |
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2/1 (Wednesday) |
Epsilon-delta proof for polynomial functions |
Do problems #1-12 from the
handout. (Homework sheet #1), but turn in
#2, 5, 7, 9, 11 (Due: 2/3) |
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2/3 (Friday) |
Quiz#2 Answer questions about
homework Epsilon-delta proof for
other functions |
Do problems #13-19 from the
handout. (Homework sheet #1), but turn in
#14, 17, 19 (Due: 2/10) |
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2/6 (Monday) |
Basic properties of limits
and definition of continuity |
Do problems #27-34 from the
handout. Turn in #28,30,32, 33 Read Section 2.3 and do #
15, 20, 25, 42, 50, 62 Read Section 2.6 and do #2, 3, 11, 16, 23, 33, 74 (Due: 2/10) |
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2/7 (Tuesday) |
Limits involving infinity |
Read section 2.5: 10, 13,
17, 20, 23, 26, 42, 60 (Due: 2/10) |
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2/8 (Wednesday) |
Exercises for limits
(Section 2.5, 2.6 and 2.7) |
No homework! |
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2/10 (Friday) |
Quiz#3 Answer questions about
homework |
Access to the website: www.interactmath.com: (free help to students)
to review Chapter 2. |
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2/13 (Monday) |
Definition of derivatives |
No homework! |
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2/14 (Tuesday) |
Contra positive, converse,
differentiability and continuity |
Read section 3.1: #6, 8, 9, 19, 25, 32, 34, 40, 69 (Due: 2/17) |
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2/15 (Wednesday) |
Rules of differentiation |
Read Section 3.2: #4, 7,
10, 14, 18, 21, 24, 28, 33, 35a), 39, 43, 48a), 57 Read Section 3.3: #7, 9, 10, 14, 19, 20, 22, 24, 33, 39, 46, 51, 54a) (Due: 2/17) |
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2/17 (Friday) |
Exercises for derivative (Section
3.1-3.3) |
Review sheet for Chapter 2 |
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2/20 (Monday) |
Review for Exam#1 |
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2/21 (Tuesday) |
Exam#1 (Epsilon-delta proof, Chapter 2 and Section 3.1-3.3) |
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2/22 (Wednesday) |
Derivative of sin x and
related limits |
Read Section 3.4
(p129-131): do #7, 8, 9, 10, 11, 12, 13, 14, 64 (Due: 2/24) |
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2/24 (Friday) |
Derivative of trigonometric
functions |
Section 3.4: #1, 16, 17, 19, 22, 26, 28, 30, 37, 44, 51, 54, 60 (Due: 3/2) |
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2/27 (Monday) |
Chain rule |
Read Section 3.6: #6, 7, 10, 11, 14, 16, 18, 20, 23, 26,
28, 34, 36, 39, 43 (Due: 3/2) |
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2/28 (Tuesday) |
Implicit differentiation |
Read Section 3.7: #5, 8, 10, 13, 16, 17, 21, 22, 24, 26, 33, 36, 40, 43, 46, 53, 72 (Due: 3/2) |
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2/29 (Wednesday) |
Exercise for derivatives
and Section 3.4 and 3.6) |
Derivative test (for
practice) Quick quiz for section 13.7 (Due: 3/2) |
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3/2 (Friday) |
Answer for derivative test Exercises in section 3.7 |
Enjoy spring weather! |
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3/5 (Monday) |
Some physics: derivative as
a rage of change |
Read Section 3.5: 9, 10, 11, 12, 17, 18, 25, 26, 29 (Due: 3/9) |
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3/6 (Tuesday) |
Related rates (part 1) |
Work sheet #3-6 (Due: 3/7) |
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3/7 (Wednesday) |
Related rates (part 2) |
Read Section 3.8: #7, 9, 11, 17, 19, 23, 25, 29, 45 (Due: 3/9) |
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3/8 (Thursday) |
DERIVATIVE
EXAM#1 |
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3/9 (Friday) |
Quiz#4 |
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3/12 (Monday) |
Maxima and Minima |
Read Section 4.1: 3, 4, 5, 6, 9, 14, 18, 20, 24, 27, 35, 36, 42 (Due: 3/15) |
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3/13 (Tuesday) |
Exercises for section 3.5,
3.8 and 4.1 |
Review sheet for Chapter 3 |
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3/14 (Wednesday) |
Review for Exam#2 |
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3/15 (Thursday) |
Exam#2 (Section 3.2-3.8, 4.1) |
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3/19-23 |
SPRING BREAK |
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3/26 (Monday) |
What the first derivative
tells us |
Read Section 4.2: #8, 11, 12, 17, 22, 26, 30, 33, 40, 43, 48, 51, 56 (Due: 3/30) |
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3/27 (Tuesday) |
What the second derivative
tells us |
Read Section 4.2: #39, 48, 50, 54 Read Section 4.3: #7, 8, 12, 14, 17 (Due: 3/30) |
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3/28 (Wednesday) |
Mean value theorem |
Read Section 4.6: 10, 18, 21, 23, 26, 27 (Due: 3/30) |
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3/29 (Thursday) |
DERIVATIVE
EXAM#2 If you passed the
derivative exam#1, you don’t need to take any more. |
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3/30 (Friday) |
Answer homework questions Hopital’s rule |
Read Section 4.7: 10, 12, 17, 18, 20, 23, 24, 27, 28, 31, 32 (Due: 4/6) |
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4/2 (Monday) |
Optimization problems |
Solve #3 in worksheet. (Due: 4/3) |
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4/4 (Wednesday) |
Answer for homework problem Antiderivative and indefinite integral |
Read Section 4.4: #5, 8, 11, 13, 21, 23, 25, 39, 46 (Due: 4/6) |
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4/5 (Thursday) |
DERIVATIVE
EXAM#3 If you passed the
derivative exam#1, you don’t need to take any more. |
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4/6 (Friday) |
Calculation of indefinite
integral Substitution rule for
indefinite integral |
Read Section 4.8: #10, 12, 13, 15, 18, 23, 25,27, 30,
33 Section 5.5: 13, 15, 18, 20, 21, 24, 25, 28, 30, 32, 33 (Due: 4/13) |
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4/9 (Monday) |
Approximating areas under
curves, Definite integral |
Read Section 5.1 and
compute the net area between x-axis and y=x^3 on [-1,2]
. (Due: 4/13) |
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4/10 (Tuesday) |
General Riemann sum |
Section 5.1: #5, 7, 16, 33, 43, 62 Section 5.2: #20, 23, 24, 26, 28, 29, 34, 36, 38 (Due: 4/13) |
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4/11 (Wednesday) |
Properties of definite integral Exercise for section 4.8 |
Section 5.2: 25, 33, 40 (Due: 4/13) |
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4/12 (Thursday) |
DERIVATIVE
EXAM#4 Please go to the Math
testing room (GAB 443) to take the exam. |
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4/13 (Friday) |
Intermediate value theorem The mean value theorem for integrals Fundamental Theorem of
Calculus |
Section 2.6: #49, 53 Section 5.4: #30, 33, 34 Section 5.3: #11, 14, 19, 22 (Due: 4/20) |
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4/16 (Monday) |
Fundamental Theorem of
calculus –part2 Substitution method of
definite integral |
Section 5.3: #24, 26, 29, 32, 34, 36, 38, 42, 49, 50, 54, 61, 84, 85, 94,
96 Section 5.5: #35, 38, 41, 42, 44, 45, 48, 56,
58, 62, 66, 69, 84, 89 (Due: 4/20) Review sheets for Test#3 (Due: 4/17) |
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4/17 (Tuesday) |
Review for Test#3 |
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4/18 (Wednesday) |
Review for Test #3 |
Answer key for Exam#3 for
Fall 2011 |
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4/19 (Thursday) |
TEST#3 (Section 4.2-4.8,
5.1-5.5) |
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4/20 (Friday) |
Areas between curves |
Read Section 6.2 and do #7,
10, 15, 16, 21, 23, 24, 31,
37, 38, 39, 45, 49, 50, 51, 53, 55, 65 (No due) |
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4/23 (Monday) |
Volume by slicing (Disc
method) |
A problem given in the
class! (Due: 4/24) |
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4/24 (Tuesday) |
Volume by slicing (Washer
method) |
A problem given in the
class! (Due: 4/25) Read Section 6.3: #10, 13, 15, 18, 19, 23, 25, 30, 31, 35, 48, 50, 53, 59,60, 62 (No due) |
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4/25 (Wednesday) |
Review Section 6.2 and 6.3 (Quick test) |
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4/27 (Friday) |
Volume by shells |
Read Section 6.4: and do
#1, 3, 6, 7, 11, 12, 17, 20, 27, 28, 30 |
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4/30 (Monday) |
Length of curves |
Read Section 6.5 and do
#1, 4, 6, 10, 26, 28 |
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5/1 (Tuesday) |
Review for the final exam |
SETE evaluations are open until Friday, May 4 (11:59 p.m.). Please
go to www.my.unt.edu portal and click on the SETE link. |
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5/8 (Tuesday) |
Comprehensive final exam 8-10am |
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