Download Report

California State University, San Bernardino
Department of Mathematics
Math 213-02, Calculus III, Winter 2015 (23130)
Course and Instructor Information
Instructor:
Jeremy Aikin, Ph.D.
Office location: JB-316
Telephone:
(909) 537-5375
Email:
[email protected]
Office hours:
10:00 – 11:00 am WF; 12:00 – 1:00 pm TTh; and by appointment
Class Days/Time: 10:00 – 11:50 am TTh
Classroom:
JB-383
Prerequisite:
Math 212 with a “C” or better
Faculty Web Page
A copy of the course syllabus may also be found on my faculty web page:
www.math.csusb.edu/faculty/jaikin
Course Description and Coverage
This is the third course in calculus of a single variable. The topics we will cover are sequences
and series, numerical techniques, polar coordinates, parametric equations, and solids of
revolution.
Required Text
Calculus of a Single Variable, 10th Edition by Ron Larson and Bruce Edwards
Homework
Doing homework in this course is essential in order to pass the class. It is not a part of your
grade, nor will it be graded; however, doing the homework problems I assign is what will
prepare you for your tests and quizzes. In fact, the problems on your tests and quizzes will
either come directly from your homework or will be very similar to problems assigned in
homework. You should expect, and set aside the time, to spend at least 1 – 2 hours outside of
this class each day doing your homework. If making time for this course every day is going to
be a problem, you may want to postpone taking this course until you are able to set aside this
amount of time. I will try to spend time on most days in class to answer any questions you have
regarding your homework.
Grading Policy
Your grade will consist of the following components:
Test Average
40%
Quiz Average
35%
Final Exam
25%
There will be two tests, four quizzes, and a final exam during the quarter. Each test will take
about one hour, while each quiz will take approximately half an hour. Please see the attached
schedule regarding the days you will be taking tests and quizzes.
The following grading scale will be used to compute your final grade in the course:
A:
> 93 %
C:
74 – 76 %
A- :
90 – 93 %
C- :
70 – 73 %
B+ :
87 – 89 %
D+ :
67 – 69 %
B:
84 – 86 %
D:
64 – 66 %
B- :
80 – 83 %
D- :
60 – 63 %
C+ :
77 – 79 %
F:
< 60 %
This grading scale is subject to change at my discretion. I do not curve the grades of any of
your tests or quizzes, however, I reserve the right to curve your final grade in the course.
Attendance and Make-up Policy
Attendance will be taken each day for the purposes of keeping a record. If you miss class, you
are responsible for any information that is covered and any announcements made in class. If
you miss a test or quiz, you may make it up only with proof of a valid excuse and a make-up
must be scheduled with me within 48 hours of the missed test or quiz. There is a small window
of time during which a make-up will be allowed.
Goals and Student Learning Outcomes
Goal 1: Students will demonstrate a conceptual understanding of mathematics
Student Learning Outcomes
1.1 Students will demonstrate an understanding and apply fundamental concepts, operations,
and relations
1.2 Students will make connections between mathematical ideas verbally, numerically,
analytically, visually, and graphically
1.3 Students will achieve proficiency in modeling with mathematics
Goal 2: Students will attain procedural fluency in mathematics
Student Learning Outcomes
2.1 Students will correctly apply mathematical theorems, properties and definitions
2.2 Students will calculate efficiently, flexibly, and with appropriate accuracy
Goal 3: Students will demonstrate adaptive reasoning and problem solving skills in
mathematics
Student Learning Outcomes
3.1 Students will choose and use appropriate tools (including technology) and strategies to gain
insight into and present solutions to mathematical problems
3.2 Students will use and produce valid arguments
3.3 Students will explain and justify solutions using a variety of representations
3.4 Students will be able to reflect on and learn from previous problems
3.5 Students will be able to evaluate reasonableness of proposed results using estimation and
context
3.6 Students will be able to critique mathematical reasoning, both correct and flawed
Goal 4: Students will demonstrate mathematical communication skills
Student Learning Outcomes
4.1 Students will demonstrate mathematical communication skills using appropriate
mathematical vocabulary and references.
Goal 5: Students will understand and produce correct mathematical proofs
Student Learning Outcomes
5.1 Students will understand correct mathematical proofs
5.2 Students will produce correct mathematical proofs
For Math 213, the focus SLO’s that apply are 2.1, 3.2, 3.4, and 4.1.
University Policies
Students are responsible for understanding the policies and procedures found in the CSUSB
Bulletin of Courses, 2014-2015, especially the section titled “Academic Regulations and
Standards” beginning on page 100. Pay close attention to the policy regarding add/drops,
academic renewal, cheating and plagiarism.
Cheating on exams could result in an F for a course grade and also sanctions by the University.
Academic dishonesty will not be tolerated.
Classroom Protocol
All electronic devices that will distract other students or the instructor must be turned off
during class sessions, quizzes and exams. Cell phones must be set to complete silence,
meaning that the ringer should be turned off and they should not be set to vibrate. If I see you
text messaging during class, I will ask you to leave, as it is very distracting to me. If this
occurs more than once, you will be subject to university sanctions.
If you need to leave a class session early please let me know. Also, in such situations, please sit
near the exit door as not to disturb your classmates. Any activity that is disruptive to me or any
students in the class is not tolerated. Such behavior will result in you being asked to leave class
and may result in a lowering of your course grade.
Support for Students with Disabilities
If you are in need of an accommodation for a disability in order to participate in this class,
please notify me and also contact Services to Students with Disabilities (UH-183) at (909) 5375238.
Important Dates
January 16: Last day to add open class without permission.
January 19: Martin Luther King Holiday (campus closed).
February 2: The last day to drop classes without record.
March 23: The last day of classes for the Winter Quarter.
Thursday, March 26: Final Exam (10:00 – 11:50 am)
Disclaimer: This syllabus, including the topics covered in this class and the dates for tests and
quizzes, is subject to change at the discretion of the instructor.
Math 213 ‐ Calculus III Winter 2015 Course Calendar
Dates
13‐Jan
15‐Jan
20‐Jan
22‐Jan
27‐Jan
29‐Jan
3‐Feb
5‐Feb
10‐Feb
12‐Feb
17‐Feb
19‐Feb
24‐Feb
26‐Feb
3‐Mar
5‐Mar
10‐Mar
12‐Mar
17‐Mar
19‐Mar
24‐Mar
26‐Mar
Days
T
Th
T
Th
T
Th
T
Th
T
Th
T
Th
T
Th
T
Th
T
Th
T
Th
T
Th
Topics
Assignments
Introduction, 9.1, 9.2
9.3, 9.4
Quiz 1: Thurs. 1/22 (9.1, 9.2)
9.5, 9.6, 9.7
9.8, 9.9
Quiz 2: Thurs. 2/5 (9.3, 9.4, 9.5, 9.6)
9.10, 10.1
Test 1: Thurs. 2/12 (9.1 ‐ 9.9)
10.2, 10.3, 10.4
10.5
Quiz 3: Thurs. 2/26 (9.10, 10.1, 10.2, 10.3)
7.1, 7.2
Test 2: Thurs. 3/5 (9.10, 10.1‐10.5)
7.3, 7.4
7.5
Quiz 4: Thurs. 3/19 (7.1, 7.2, 7.3, 7.4)
Final Exam: March 26, 10:00 ‐ 11:50 am
Math 213, Calculus III ‐ Homework
9.1:
9.2:
9.3:
9.4:
9.5:
9.6:
9.7:
9.8:
9.9:
9.10:
10.1:
10.2:
10.3:
10.4:
10.5:
7.1:
7.2:
7.3:
7.4:
7.5:
Sequences
HW: 1‐9 odd, 10‐12, 13‐59 odd, 63, 67a, 69, 71
Series and Convergence
HW: 1‐21 odd, 25‐53 odd, 55, 56, 58, 61, 67
The Integral Test and p‐Series
HW: 1‐21 odd, 25‐37 odd, 41‐45, 47, 65
Comparisons of Series
HW: 3‐21 odd, 22, 23‐27 odd, 28‐30, 32, 33, 35, 36, 39‐46
Alternating Series
HW: 5‐25 odd, 37‐53 odd, 55, 56, 58, 59
The Ratio and Root Tests
HW: 1‐4, 13‐71 odd, 93, 97
Taylor Polynomials and Approximations
HW: 1‐4, 5‐9 odd, 13‐29 odd, 49, 51, 59‐63
Power Series
HW: 1‐31 odd, 41, 43, 49‐55, 58
Representation of Functions by Power Series
HW: 1‐23 odd, 31‐39 odd, 40, 56, 57
Taylor and Maclaurin Series
HW: 1‐13 odd, 17, 19, 27‐41 odd, 45‐67 odd, 73 Conics and Calculus
HW: 1‐6, 23‐27 odd, 35‐39 odd, 51‐57 odd
Plane Curves and Parametric Equations
HW: 1‐17 odd, 31, 33, 41‐55 odd
Parametric Equations and Calculus
HW: 1‐17 odd, 23, 29‐49 odd, 65, 67
Polar Coordinates and Polar Graphs
HW: 1‐49 odd, 59, 67, 77, 83, 85
Area and Arc Length in Polar Coordinates
HW: 1‐21 odd, 25‐31 odd, 35, 39
Area of a Region Between Two Curves
HW: 1‐29 odd, 55, 57
Volume: The Disk Method
HW: 1‐35 odd, 41‐47 odd, 49‐53
Volume: The Shell Method
HW: 1‐31 odd
Arc Length and Surfaces of Revolution
HW: 1‐15 odd, 35‐45 odd
Work
HW: 1‐19 odd, 25, 27