MATH 151 (4 UNITS) CALCULUS WITH ANALYTIC GEOMETRY 2

MATH 151 (4 UNITS)
CALCULUS WITH ANALYTIC GEOMETRY 2
INSTRUCTOR: MICHAEL BROWN
PHONE: (619) 388-2383
SPRING 2016
CRN 00642
Room MS422 8:45-10:45 TTh
MAILBOX: K108B
E-MAIL: [email protected]
OFFICE HOURS: 10:00-11:00 MW, 11:00-12:30 TTh in MS215O
TEXT: Calculus by Swokowski, classic edition. It is recommended that you also purchase the
student solutions manual
PREREQUISITE: Math 150 with a grade of C or better or equivalent.
COURSE DESCRIPTION: This is a continuation of Math 150. This course also covers a general
introduction to the theory and applications of power series, techniques of integration, and
functions in polar coordinates, as it serves as a basis for multivariable calculus and differential
equations, as well as most upper division courses in mathematics and engineering. This course
is intended for the transfer student planning to major in mathematics, computer science,
physics, chemistry, engineering, or economics. This course meets general education, CSU,
IGETC, and TAG requirements
STUDENT LEARNING OUTCOMES:
1. Students will show the relationship between a function and it’s infinite series.
2. Students will use appropriate methods to calculate integrals.
3. Students set up and evaluate an integral to find the area enclosed by a polar graph.
OBJECTIVES: Upon successful completion of this course the student should be able to: Solve
first-order separable differential equations and initial value problems and their applications;
Solve integral problems by selecting the appropriate method of integration; Solve physics
problems of work, centers of mass, and fluid force; Evaluate improper integrals; Use L'Hopital's
rule for evaluating indeterminant forms; Solve problems involving infinite sequences and series
and determining convergence; Derive and apply Taylor's theorem to power series; Analyze
conic sections; Find areas of polar regions.
ATTENDANCE: You may be dropped on the second absence. You will be dropped if you've
reached 4 absences before April 8. It is the student's responsibility to drop the class if
you stop attending. If you know that you will be absent or very late, leave a message.
BEHAVIOR: Students are expected to respect and obey standards of student conduct while in
class and on the campus. Students should be familiar with policy 3100 in the college catalog.
If you exhibit deliberate behavior that prohibits or impedes any member of the class from
pursuing any class assignment, objective or learning opportunity within the classroom, you will
be dismissed from class that day and a report will be filed with the appropriate dean. This
includes but is not limited to: cheating, plagiarism, regular tardiness, profanity, alcohol or
drugs, cellular phones, and pagers. Cell phones may not be used for any reason during
class.
HOMEWORK: You are expected to attempt as many problems from the text as is necessary to
grasp a concept. Homework questions should be asked outside of lecture or in the tutoring lab.
You should not expect satisfactory results without attempting problems on a daily basis, usually
at least 2-3 hours outside of class for every hour of lecture. Exams are made up of homework
type questions.
QUIZZES: There will be 26 open book quizzes given at the beginning of class. The quizzes are
made up of homework type questions. Missed quizzes receive a zero and cannot be made up
or taken early.
EXAMS: There will be three 2-hour exams worth 70% of the grade and a comprehensive final
worth 30%. The lowest of the exams may be replaced by the top 20 quizzes or the final may
be replaced by the best 25 quizzes. A missed exam is replaced by the quiz grade. There are
no make-ups for missed exams, but you may take an exam up to 1 week early. A practice test
will be given out before each exam.
CHEATING: Students are expected to be honest and ethical at all times in their pursuit of
academic goals. Students who are found in violation of district Procedure 3100.3, Honest
Academic Conduct, will receive a score of zero (and it can't be dropped) on the quiz or exam in
question and may be referred for disciplinary action in accordance with Procedure 3100.2,
Student Disciplinary Procedures.
INCOMPLETE: The grade of incomplete will be given only if you have taken all three exams, are
passing the course, and are unable to take the final exam. Incompletes must be made up by
the end of the spring 2017 or the grade is changed to an F.
ACADEMIC ACCOMMODATION: Any student who may need an academic accommodation
should discuss the situation with me during the first 2 weeks of class.
MATERIALS: A proper scientific calculator is required at every class. It is strongly recommended
that you have a graphing calculator. All graded work should be done in pencil. You may
not use a graphing calculator during quizzes or exams, but a scientific calculator will be
provided at that time if you don't have one.
GRADING:
Exams
Quiz
Final Exam
Total
3 @ 400
20 @ 20
1200
400
500
1700
1530-1700
1360-1529
1156-1359
935-1155
A
B
C
D
The grade will be determined by whichever method yields the highest point total:
3 Exams and Final Exam,
Best 2 Exams, best 20 quizzes and Final Exam
OR 3 Exams and 25 Quizzes
EXPECTATION: You are required to show up to each class with your notebook, textbook, pencil,
and calculator. Questions about the lecture and material in the book are always encouraged.
You are expected to take notes and when you are absent, you are expected to get copies of
the missed notes from a classmate. You are all in this together and are not in competition for a
limited number of A's and B's. You should study hard, do the work in a timely fashion, ask lots
of questions, and good luck!
MATH 151
SCHEDULE
SPRING 2016
TUE
1/26
THU
1/28
TUE
2/2
THU
2/4
Introduction
6.6
2/9
6.7, 6.8
2/11
quiz 1
7.6, 19.1
2/16
quiz 2
9.1, 9.2
2/18
quiz 3
9.3, 9.4
2/23
quiz 4
9.4, 9.5
2/25
quiz 5
9.6//
3/1
quiz 6
9.7, 10.1
3/3
quiz 7
10.1, 10.2, review
Exam 1
quiz 8
10.2, 10.3
quiz 9
10.4, 11.1
3/8
3/10
3/15
3/17
quiz 10
11.1, 11.2
3/22
quiz 11
11.3
3/24
quiz 12
11.4//
3/29
quiz 13
11.5
3/31
quiz 14
11.6, review
4/5
Exam 2
SPRING BREAK
SPRING BREAK
4/7
4/12
4/14
quiz 15
11.7
4/19
quiz 16
11.8, 11.9
4/21
quiz 17
11.10
4/26
quiz 18
12.1, 12.2
4/28
quiz 19
12.2, 12.3
5/3
quiz 20
12.4//
5/5
quiz 21
13.1, 13.2
5/10
quiz 22
13.2, review
5/12
Exam 3
quiz 24
13.4
quiz 25
Review
5/17
quiz 23
13.3
5/19
quiz 26
Review
Final Exam
(everything!)
Important Dates: Add, refund and first drop deadline 2/5, Exam 1 2/25, Exam 2 3/24,
Withdrawal deadline 4/8, Exam 3 5/3, Final Exam 5/19
FORMULAS
Trig identities
cos2  sin2  1
1  tan 2  sec 2
cot 2  1  csc 2
cos(   )  cos  cos   sin  sin 
sin(   )  sin  cos   sin  cos 
2
2
2
sin(2 )  2sin  cos 
cos(2 )  cos  - sin   2cos  - 1  1 - 2sin 2
2
2
1
1
sin   2 1 - cos(2 )
cos   2 1  cos(2 )
 1
sin -1 x  csc -1 
x
Derivatives
d
uv   u dv  v du
dx
dx
dx
d
sin u  cos u du
dx
dx
d
sec u  sec u tan u du
dx
dx
d
ln u  1 du
dx
u dx
d u
du
a  au (ln a)
dx
dx
 

 1
sec -1 x  cos -1 
x
 1
tan -1 x  cot -1 
x

d
1
du
sec -1 u 
dx
u u2 - 1 dx
d
1
du

csc -1 u  2
dx
u u - 1 dx
d
tanh u  sech 2 u du
dx
dx
du
dv
v
- u
d u
dx
dx
  
2
dx  v 
v
d
cos u  - sin u du
dx
dx
d
cot u  - csc 2u du
dx
dx
d
log a u  1 du
dx
(ln a)u dx
d
1
du
sin-1 u 
dx
1 - u2 dx
d
1
du
cos -1 u  dx
1 - u2 dx




d
sinh u  cosh u du
dx
dx
 
d n
du
u  nu n - 1
dx
dx
d
tan u  sec 2u du
dx
dx
d
csc u  - csc u cot u du
dx
dx
d u
du
e  eu
dx
dx
d
1
du
tan -1 u 
2
dx
1  u dx
 




d
1
du
cot -1 u  2
dx
1  u dx
d
cosh u  sinh u du
dx
dx
d
sech u  - sech u tanh u du
dx
dx
Integrals
 u du
 sec u
n
2

1
un  1  C
n  1
du  tan u  C

csc u cot u du  - csc u  C
1
 a du  ln a a  C
 sec u du  ln sec u 
u



1
2
a - u
1
2
u
 sin u du  - cos u  C
 sec u tan u du  sec u
2
 1 du  ln u  C

 u
e
 tan u
 cot u
tan u  C
du  sin -1  a1 u  C
 C
 cos u du  sin u  C
 csc u du  - cot u  C
du  ln sec u  C
 csc u
u
du  eu  C
du  ln sin u  C
du  ln csc u - cot u  C
1
1

du  tan -1  a1 u  C
 2
2
 a  u
a
1

du  sec -1  a1 u  C

 sinh u du  cosh u  C  cosh u du  sinh u  C
2
2
a
 u u - a
2
 sech u du  tanh u  C
 sech u tanh u du  - sech u  C