(There will be one bonus problem related to series
solution in the exam)
On Monday we will go over the Practice Final.
On Wednesday there will be no class, but I will hold
office hour in the classroom.
NO Thursday MLC office hour.
Final exam on Thursday.
(If your midterm grade is lower than 20, Print out a Midterm
exam,
do those problems that you didn’t get right on the
exam,
turn it in with your original Midterm exam
to get extra credit)
Grading Structure
1. Quizez
30%, Midterm 30%, Final 40%
2. We have 3 classes per
week, 6 weeks. In total there will be 18 classes. On July 31st (Thursday), there will be a
midterm exam. On Aug 21st
(Thursday) there will be a final exam. So, in total there will be
3. There is a quiz every class. (except the first class, the midterm day and the final day). So, 15 quizez.
We will do the quiz in the middle of the class.
I will drop 3 lowest scores. The average
of the other 12 scores will be your final quiz score. The score of each
quiz is out of 30.
There are NO
makeup for the quizez.
4. Homework will be assigned, but will NOT be collected.
5. For those who
doesn’t do well in the quiz, homework will count. To be precise, if the quiz
grade is less than 20, then homework will be accepted and graded.
the homework grade is 10. The new quiz
grade= min{old quiz grade+ homework grade, 20}
New Office hours
Monday, Thursday,
Material Covered
July 14th (Monday) The definition and the properties of definite integral.
Review questions: (1) Could you solve an area problem by approximation using small
rectangles? (left end point rule, right end point
rule)
(2) What if you want to actual area (not just approximation)? (you take the limit of the summation, that’s called an
integral)
(3)
Can you interpret an definite integral by the area of
some regioin? In this way, can you calculate some
easy integral?
(4) Can you list a few properties of definite integral?
Homework: Sec 5.1 (3), (20)
Sec 5.2 (6),(17),(27),(32),(37)
July 16th (Wed) The
fundamental theorem of Calculus + Substitution
Review questions: (1) What’s the fundamental theorem, can you write down the two
equations?
(2) Can you take the derivative of a integral
function.
(3) How to calculate definite integral by using indefinite integral
(4) Can you manage the substitution rule?
Homework:
Sec 5.4 (9) (10) (12) (15) (17)
Sec 5.5 (1) (10) (14) (22) (29) (30)
July 17th (Thursday) Integration
by part + trigonometry integral
Homework:
Sec 5.6 (3) (4) (12) (19) (29)
Sec 5.7 (1) (2) (6) (7) (10)
July 21st (Monday)
Integral of
Rational functions
Homework:: Sec 5.6 (31)
Sec 5.7 (16), (26)
Sec 5.8 (29)
July 23rd (Wed)
Estimating definite integrals + Improper integral
Homework:
Sec 5.10 (2) (5) (23) (29)
July 24th (Thur)
Area Problem + Volume Problem
Homework:
Sec 6.1 (4) (10) (12)
Sec 6.2 (2) (11) (14)
July 28th (Monday) Average value + application to Physisc
Homework: Sec 8.2 9,13,14,15,17,21,23,35
Auguest 6, 2008
Integral test and comparison test + alternating series
Homework: Sec 8.3 9,10,16,18,21,26
Sec 8.4 5,7,8