Summer 2014
May 27 - Jul 17
MAT 230 Calculus and Analytical Geometry II
(Instructor reserves the right to make changes on this syllabus as needed)
Section: LEC 15725
Days, Location & Time: MoTuWeTh in CM 454 from 12:45PM - 3:00PM
Instructor: Dr. Paul Vaz
Office: PSA 443 (ASU)
Phone: (480) 965 - 2254
Office Hours: By appointment
E-Mail: vaz@asu.edu
Web Page: http://math.asu.edu/~pvaz
Text: Single Variable Calculus, 5th Ed., Hughes-Hallett, Gleason et al. The Student’s
Solution Manual [optional] contains complete solutions, not just answers, to odd
numbered problems
Prerequisites: Students entering MAT 230 are expected to have completed MAT 220
or its equivalent with a grade of A, B or C.
Cell Phones, Etc.: Upon entering class all cell phones and other objects of tech
communication need to be turned off. If there is a true emergency call/text you are
expecting, let the instructor know before class. You are not allowed to use the cell phone
in the class.
Attendance is expected. You are to be in class every day it is scheduled. You may be
dropped after three absences. You are expected to be in class on time. You are
expected to stay the full length of class once you come to class. If you have a legitimate
need to leave class early, please notify your instructor before class starts. .
Graphing Calculator: A graphing calculator is required for this course. The suggested
calculator is the TI-84 or TI-83+. Please bring the calculator to class daily. Renting a
calculator is possible through Student Life (north end of the Student Center
building). The cost is $10 per semester. Internet and e-mail access is required for each
student.
Tutor Center: The Math/Science Tutor Center in CM 441A will be open M-Th 8:00 am
- 7:30 pm, Friday 8:00 am - 2 pm and Saturday 10 am - 2 pm. Come for help before it is
too late, and several days before an exam day. Office hours are also held in order for the
instructor to provide individual help outside of class.
Final Exam: The final exam will be given in your regular classroom, CM 454 on
Thursday July 17, 2014 during regular class time. There will be no make-ups given for
the final, and no finals will be rescheduled for personal reasons, including nonrefundable
airplane tickets.
Exams: There will be 3 midterm exams given during the session. These exams will
involve a mix of mechanical skills and conceptual reasoning. The best possible
preparation for the exams is regular attendance and completion of assigned homework.
Your calculator program memory may be randomly viewed during any exam and
will be cleared if anything suspicious is written therein. There are no make-up
exams unless you have a valid excuse accompanied with documentation or you have
spoken with the instructor before the day of the exam. You have one week to complete
the make-up exam and you will receive a 5% reduction in points regardless of the
excuse. The second missed exam will receive a grade of 0 (zero). You may only makeup one exam per semester.
Gateway Exam: Students are allowed 3 attempts to earn a score of 80% or higher on the
Gateway Exam. The instructor will choose what students must do before they are
allowed to take successive attempts. A student must pass the Gateway Exam at a score of
80% or higher to pass this course, regardless of other work done in the class.
In-Class Activities: In-class activities will be assigned regularly. The activities will be
posted on Canvas. Students may work together on the activities, but each individual
student should complete and write up their own work as much as possible. There also
may be group quizzes or different kinds of individual quizzes at other times in the
semester. No make-up in-class activities are allowed. In-class activities done out of
class will not be accepted.
Student Expectations: Students are expected to be courteous, respectful and empathetic
to peers and instructor. Be in class on time, be prepared for class, participate in class
activities, follow assignment instructions, effectively complete assignments and turn
them in by the appropriate due dates. You are also expected to maintain knowledge of
your grade standing and contact the instructor if concerns arise. The grades will be posted
on Canvas. Students are also responsible for all college policies included in the college
catalog and the student handbook.
Assigning of Grades: Your grade is NOT a commodity; it has not been purchased with
your tuition. You have the right to be graded fairly, but you do NOT have the right to
any specific grade. Your grade is an evaluation of PERFORMANCE. This means it is
dependent upon how well you demonstrate your comprehension of the subject through
application and completion of the items listed above and below in this syllabus.
Percent Allocation
Midterm exams:
60%
Final exam:
20%
Homework, In-Class Activities: 20%
Grades
A: 90% - 100%
B: 80% - 89.99%
C: 70% - 79.99%
D: 60% - 69.99%
Exam
Exam #1:
Exam #2:
GW Exam:
Exam #3:
Final Exam:
Dates
Thursday June 5, 2014
Thursday, June 19, 2014
Thursday June 26, 2014
Thursday, July 10, 2014
Topics on exam
Sections 7.1 – 7.5
Sections 7.6, 7.7, 7.8, 8.1 – 8.3, 4.8
Chapters 7 and 8
Chapter 9
Thursday, July 17, 2014
Cumulative including 9.3–9.5,10.1–10.5
______________________________________________________________________
Departmental and College Policies and Procedures
Unrestricted Withdrawal: A student may withdraw from a course with a grade of W
during the unrestricted withdrawal period. The instructor's signature is not required.
Restricted Withdrawal. In order to withdraw during this period, the student must obtain
the instructor's signature. A grade of W will be assigned only if the student is doing
acceptable work at the time of the request. Otherwise the student may receive an F.
Grade of Incomplete: A grade of incomplete will be awarded only in the event that a
documented emergency or illness prevents the student who is doing acceptable work
from completing a small percentage of the course requirements. The guidelines in
the general SCC catalog regarding a grade of incomplete will be strictly followed.
Instructor-Initiated Drop: At the instructor's discretion, any student who has not
attended class regularly may be administratively dropped from the course. However,
students should be aware that non-attendance would NOT automatically result in their
being dropped from the course. Thus, a student should not assume they are no longer
registered for a course simply because they are not attending. It is the student's
responsibility to be aware of their registration status.
Final Exam Make-up Policy: The final exam schedule listed in the Schedule of Classes
will be strictly followed. Exceptions to the schedule and requests for make-up
examinations can be granted only by the Department Chair and for one of the following
reasons:
1. religious conflict (e.g., the student celebrates the Sabbath on Saturday)
2. the student has more that three exams scheduled on the same day as the math final
3. there is a time conflict between the math final and another final exam.
If there is a last-minute personal or medical emergency, the student may receive a grade
of Incomplete and make up the final within one calendar year. The student must provide
written documentation and be passing the class at the time to receive an Incomplete.
Make-up exams will NOT be given for reasons of nonrefundable airline tickets, vacation
plans, work schedules, weddings, family reunions, and other such activities. Students
should consult the final exam schedule before making end-of-semester travel plans.
Honor Policy: The highest standards of academic integrity are expected of all students.
The failure of any student to meet these standards may result in suspension or expulsion
from the College or other sanctions as specified in the Scottsdale Community College
Academic Integrity Policy. Violations of academic integrity include, but are not limited
to, cheating, fabrication, tampering, plagiarism or facilitating such activities.
Disability Resources and Services has a mission to provide equal access to students
with disabilities in all areas of teaching and learning, and all services while encouraging
independence and supporting cultural diversity throughout the campus. If a student
wishes to receive services and/or accommodations, he/she must contact the DRS office at
(480) 423-6517.
Calculus and Analytical Geometry II - Summer 2014 Calendar
(Instructor reserves the right to make changes on this schedule)
Week of
Topics
7.1 Integration by Substitution
05/28
7.2 Integration by Parts
7.3 Tables of Integrals
7.4 Algebraic Identities and Trigonometric Substitutions
Comments
06/03
7.4 Algebraic Identities and Trigonometric Substitutions
7.5 Approximating Definite Integrals
7.6 Approximation Errors and Simpsonâ ™s Rule
7.7 Improper Integrals
06/10
7.7 Improper Integrals
7.8 Comparison of Improper Integrals
8.1 Areas and Volumes
8.2 Applications to Geometry
06/17
8.3 Area and Arc Length in Polar Coordinates
4.8 Parametric Equations
Conic Sections
8.4 Density and Center of Mass
8.5 Applications to Physics
Exam 2 - June 19
06/24
8.5 Applications to Physics
9.1 Sequences
9.2 Geometric Series
9.3 Convergence of Series
GW EXAM
June 26
07/01
9.3 Convergence of Series
9.4 Tests for Convergence
9.5 Power Series and Interval of Convergence
10.1 Taylor Polynomials
07/08
10.1 Taylor Polynomials
10.2 Taylor Series
10.3 Finding and Using Taylor Series
10.4 The Error in Taylor Polynomial Approximations
Exam 3 - July 10
07/15
10.4 The Error in Taylor Polynomial Approximations
10.5 Fourier Series
Reviews
Final Exam
July 17
Exam 1- June 5
LEC 5 Credit(s)
MAT230
5 Period(s)
Calculus with Analytic Geometry II
Techniques of integration for both proper and improper integrals with applications to the
physical and social sciences, elements of analytic geometry, and the analysis of sequences and
series. Prerequisites: Grade of "C" or better in MAT220 or MAT221 or equivalent.
Course Note: Student may receive credit for only one of the following: MAT230 or MAT231.
MCCCD Official Course Outline:
MAT230 20072 - 99999
Calculus with Analytic Geometry II
I. Techniques of Integration
A. Integration by parts
B. Trigonometric integrals
C. Trigonometric substitution
D. Integration of rational functions by partial fractions
E. Integration tables
F. Improper Integrals
II. Applications of Integral Calculus
A. Determination of volumes
B. Physical and other sciences
III. Elements of Analytic Geometry
A. Parametric equations
B. Polar equations
C. Conic sections
IV. Sequences and Series
A. Basic Definitions
1. Geometric sequences and series
2. Telescoping series
3. P-series
4. Alternating series
B. Various tests for Conditional or Absolute Convergence
1. Divergence test
2. Integral test
3. Direct and limit comparison tests
4. Alternating series test
5. Ratio test
V. Power Series
A. Interval of convergence
B. Polynomial approximations
C. Power series representations of functions
D. Differentiation and integration of power series
Reading and Comprehension of the Syllabus
I
________________________________________ have completely read and fully
understand the syllabus for the course MAT _______ as taught by Dr. Paul Vaz. I
understand the consequences of not attending class and not completing homework. I also
understand what is required of me if I need to miss an exam. I expect to have my grade
calculated fairly and according to the percentages given on the syllabus.
Signed: _______________________________________________