Math 220-9809, Summer 2015
Page 1
Math 220: Multi-Variable Calculus
Course Syllabus
Mission Statement: Mission Statement: El Camino College makes a positive difference in people’s lives. We provide
excellent comprehensive educational programs and services that promote student
learning and success in collaboration with our diverse communities.
Course Information:
Term: Summer
Year: 2015
Course : Math 220 Multi-Variable Calculus
Course Section: 9809
Units: 5.00
Room: MS 208
Lecture Days: Mon, Tue, Wed & Thu
Class Time: 06:15PM – 8:50PM
Contact Information:
Instructor: Mr. Jose M. Martinez
Office: MS 213
Phone: (310) 900-1600 Ext. 2433
Office Hours: N/A (See Instructor Before or After class)
Email: jmmartinez@elcamino.edu
Faculty Webpage: http://www.compton.edu/facultystaff/jmmartinez/index.html
Required Text:
Title
MULTIVARIABLE CALCULUS
Edition
7th
Authors
STEWART
ISBN
0538497874
Required Materials:
•
Scientific Calculator (cell phones will NOT be allowed on exams/quizzes)
•
TI-83 or TI-84 are highly recommended but not required
•
College Ruled notebook to do the homework.
Course Description: This course contains topics in differential calculus in several variables, including partial differentiation;
tangent planes to surfaces; directional derivatives; and optimization problems. Topics in integral calculus in several variables
include line, surface, and volume integrals, as well as the theorems of Green, Gauss (Divergence) and Stokes as
generalizations of the Fundamental Theorem Calculus. Other topics include vector algebra and solid analytic geometry.
Course Prerequisite: Mathematics 191 with a minimum grade of C.
SLO Statements:
•
SLO #1 Understanding Concepts Students will explain and demonstrate partial derivatives, multiple integrals and the
major theorems of vector calculus.
•
SLO #2 Solving Problems: Students will calculate partial derivatives for a function of more than one variable and use
them to solve multivariable optimization problems; and evaluate double and triple integrals, and apply them to
physical problems such as moments and centers of mass
•
SLO #3 Graphs: Students will analyze the graphs and equations of curves and surfaces in three- dimensional space,
as well as vector fields.
•
SLO #4 SLO #4 Proofs: Students will analyze and apply Green’s, Stokes, and Gauss’ Theorems.
Class Policies & Student Responsibilities:

Adding or Dropping: Students are responsible for adding and dropping the class within the deadlines published in the
El Camino College class schedule. Students who stop attending but do not drop may receive a failing grade.
Students may view their registration status using the college’s website: https://myecc.elcamino.edu

Attendance: Students are expected to attend their classes regularly. Students who miss the first class meeting or
who are not in regular attendance during the add period for the class may be dropped by the instructor. Students
whose absences from the class exceed 10% of the schedule class meeting times may be drop by the instructor.
Students are responsible for the material that was covered in class even if they are absent.

No Late Assignments: The instructor will not accept any late assignments. Students are responsible for completing
and handing in all assignments on the due dates.
Math 220-9809, Summer 2015
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
No Make-Up Exams: As a general rule make up exams will not be offered. Since students know the tentative dates
of the exams and quizzes for the semester, all appointments and activities the students need to attend should be
made at times other than exam days. The instructor will drop the lowest exam score but students will not be
permitted to drop the final exam. However, make up exams will be offered for the following documented reasons:
(1) Illness and/or medical care. (2) Death in the family. (3) Legal reasons. (4) Religious Holidays/Observances. (5)
Pre-arrange absences approved by the instructor at least two weeks in advance of absences.

Children in the Classroom: Children will not be permitted in the classroom while class is in session. Attendance in
class is limited to officially enrolled students and authorized visitors and guest only.

Policy regarding electronic devices: Students are responsible for remaining quiet and on task during lectures so as
not to disrupt the learning of other students. Please silence all cell phones, and electronic devices that may disrupt
the class. Texting during class is not permitted. The instructor will ask any disruptive students to leave class. Laptops
are permitted only for the purpose of taking notes.

Academic Dishonesty Consequences: El Camino College Compton Center is dedicated to maintain an optimal
learning environment and insists upon academic honesty. Examples of academic dishonesty include but are not
limited to: (1) Copying from another student or former student or allowing another student to copy from one’s work.
(2) Giving or receiving information during an examination or test by any means such as hand signals or through the
use of any electronic device. (3) Using aids such as notes, calculators, or electronic devices in an exam unless
specifically authorize by the instructor. (4) Any other action which is not an honest reflection of a student’s own
academic work. Academic dishonesty will not be tolerated under any circumstances. When there is evidence or
knowledge of academic dishonesty occurring, following actions may be imposed: (1) The instructor may assign a
failing grade to the examination or assignment. (2) The instructor may dismiss the student from the class or activity
for the present or following classes. (3) The instructor may notify the department chair and dean of academic affairs.

Policy regarding audio recording of lectures: The audio-visual recording, transmission, or distribution of classroom
lectures and discussions is prohibited unless expressed written permission from the class instructor has been
obtained and all students in the class have been informed that audio/video recording may occur. Any audio/video
recording of class lectures or activities may not be reproduced or uploaded to publicly accessible websites.

Communication with the Teacher: Students are responsible for communicating any concerns to the instructor. The
instructor is available during office hours, via email (jmmartinez@elcamino.edu) or by phone (310) 900-1600 X 2433.
Assessment Activities & Grading Scale: Students will be evaluated on their understanding and correct use of mathematical
concepts covered in class. The following is the list of the assessment activities along with grading scale that will be used to
determine the students’ grades.
Assessment Activities
Points Percent
Homework
90
15%
Exams
400
68%
Final Exam
100
17%
Total
500
100%
Letter Grade
A
B
C
D
F
Grading Scale
Percent
Interpretation
90-100%
Superior
80-89%
Above Average
70-79%
Average
60-69%
Below Average
59% or lower
Failure
Class work: To encourage attendance and class participation, students will often be given class work which will be collected
during class. Students who are absent will not be permitted to make up classwork.
Special Accommodations: El Camino College Compton Center is committed to providing educational accommodations for
students with disabilities upon the timely request by the student to the instructor. A student with a disability, who would like to
request an academic accommodation, is responsible for identifying herself/himself to the instructor and to the Special
Resources Center. To make arrangements for academic accommodations, contact the Special Resources Center.
Tutoring: Tutoring is available at the Student Success Center: (310) 900-1600, Ext. 2535
Disclaimer Statement: Students will be notified ahead of time when and if any changes are made to course requirements,
policies or schedule.
Math 220-9809, Summer 2015
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Important Dates:
Summer 2015 Eight-Week Session
Eight-Week Session Begins Monday, June 22, 2015
Last Day to Drop and Be Eligible for a Refund Monday, June 29, 2015
Last Day to Add Monday, June 29, 2015
Last Day to Drop without Notation on Permanent Record Monday, June 29, 2015
Independence Day Holiday Observed (Campus Closed) Monday, July 6, 2015
Last Day to Drop with a “W” Thursday, July 30, 2015
Eight-Week Session Ends Thursday, August 13, 2015
WEEK
1
2
3
4
5
6
7
8
M
12.1, 12.2
Exam #1
14.2, 14.1
14.4, 14.5
Review
15.8, 15.9
16.3
16.6, 16.7
T
12.3, 12.4
13.1, 13.2
14.3
14.6, 14.7
Exam #3
15.10,
Review
16.8, 16.9
W
12.5
13.3, 13.4
Review
14.8, 15.1
15.4, 15.5
Exam #4
Review
TH
Review
13.5,
Exam #2
15.2, 15.3
15.6, 15.7
16.1, 16.2,
16.4, 16.5
Final Exam
TOPICS
Equations and Inequalities in One Variable
Equations and Inequalities in Two Variables
Systems of Linear Equations and Inequalities and Exponents
Rational Expressions and Rational Functions
Rational Exponents and Roots
Quadratic Functions
Exponential and Logarithmic Functions
Conic Sections
Math 220-9809, Summer 2015
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Math 220: Multi-Variable Calculus
Homework #1
•
Section 12.1: Exercises # 3, 4, 5, 7, 8, 9, 11, 14, 20, 23, 25, 33, 34, 35, 36, 40, 41
•
Section 12.2: Exercises # 3, 5, 6, 7, 9, 11, 13, 15, 17, 20, 23, 25, 26, 27, 30, 33, 35, 40, 41
•
Section 12.3: Exercises # 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 39, 41, 43, 49, 50, 51, 55, 60
•
Section 12.4: Exercises # 1, 3, 5, 7, 9, 11, 14, 16, 19, 29, 31, 35, 37, 38
•
Section 12.5: Exercises # 3, 5, 7, 9, 11, 13, 17, 18, 19, 21, 23, 25, 27, 31, 33, 35, 37, 39, 41, 43, 45, 49, 51, 55, 57,
59, 61, 63, 71, 73
Homework #2:
•
Section 13.1: Exercises # 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 23, 27, 29, 41, 43
•
Section 13.2: Exercises # 3, 5, 7, 9, 11, 15, 17, 19, 21, 25, 33, 34, 35, 37
•
Section 13.3: Exercises # 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 25, 27, 43, 45, 47, 49, 53
•
Section 13.4: Exercises # 3, 5, 7, 9, 11, 13, 15, 19, 21, 22, 25, 27, 31, 37, 39
•
Section 14.1: Exercises # 9, 11, 13, 15, 17, 19, 23, 25, 27, 30
•
Section 14.2: Exercises # 5, 7, 9, 11, 13, 15, 17, 21, 23, 25, 29, 31, 35, 37, 39
•
Section 14.3: Exercises #15-33 odds, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 63, 76
Homework #3:
•
Section 14.4: Exercises # 1, 3, 5, 31,
•
Section 14.5: Exercises # 1, 3, 5, 7, 9, 11, 13, 17, 19, 21, 23, 27, 28, 31, 35, 36
•
Section 14.6: Exercises # 4, 5, 7, 9, 11, 13, 15, 17, 21, 23, 25, 28, 29, 33, 41, 43, 53, 55, 56
•
Section 14.7: Exercises # 5, 7, 9, 11, 13, 29, 31, 33, 35, 41, 43, 45, 49, 51
•
Section 14.8: Exercises # 3, 5, 7, 9, 11, 42
•
Section 15.1: Exercises # 11, 12, 13
•
Section 15.2: Exercises # 3, 5, 7, 9, 11, 15, 19, 21, 23, 25, 27
•
Section 15.3: Exercises # 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 33, 41, 43, 45, 49, 51, 53
Homework #4:
•
Section 15.4: Exercises # 1, 2, 3, 4, 5, 7, 9, 11, 13, 15, 19, 21, 25, 29, 31, 33
•
Section 15.6: Exercises # 3, 5, 7, 9, 11, 13, 15, 21
•
Section 15.7: Exercises # 1, 3, 5, 7, 9,11, 15, 17, 21
•
Section 15.8: Exercises # 3, 5, 7, 9, 11, 13, 17, 21, 23, 29
•
Section 15.9: Exercises # 1, 3, 5, 7, 9, 11, 13, 21, 23, 25
•
Section 15.10: Exercises # 1, 5, 7, 9, 11, 15, 17, 23, 25
•
Section 16.1: Exercises # 1, 3, 5, 7, 9, 21, 23, 25
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Section 16.2: Exercises # 1, 3, 5, 7, 9, 112, 13, 15, 19, 21, 23
•
Section 16.3: Exercises # 3, 5, 7, 9, 13, 15, 17, 19
Homework #5:
•
Section 16.4: Exercises # 1, 3, 5, 7, 9, 11, 15, 17
•
Section 16.5: Exercises # 1, 3, 5, 7, 13, 15, 17, 19, 21
•
Section 16.6: Exercises # 3, 5, 19, 21, 23, 33, 35, 37, 39, 41, 43, 45, 49
•
Section 16.7: Exercises # 5, 7, 9, 11, 17, 21, 23, 25, 27
•
Section 16.8: Exercises # 3, 5, 7, 9, 15
•
Section 16.9: Exercises #1, 3, 5, 7, 9, 11