mac 2313 calculus iii summer b 2012 - Scf - State College of Florida
mac 2313 calculus iii summer b 2012 - Scf - State College of Florida
mac 2313 calculus iii summer b 2012 - Scf - State College of Florida
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MAC <strong>2313</strong> CALCULUS III SUMMER B 2013<br />
Instructor: C. Altay Özgener Bradenton campus<br />
Instructor’s Office: 27-131 Math Office: 27-108<br />
Instructor’s Phone: 941.752.5227 Math Office Phone: 752.5224<br />
Instructor’s E-mail: ozgenea@scf.edu Math Lab: Bldg. 5<br />
Office Hours: See the URL below Math Lab Hours: http://www.scf.edu/StudentServices/AcademicResourceCenter/default.asp<br />
Instructor’s Website: http://faculty.scf.edu/OzgeneA/index.htm<br />
COURSE<br />
DESCRIPTION<br />
This course is a continuation <strong>of</strong> MAC 2312 with the study <strong>of</strong> vectors in two and three-dimensional space and differentiation<br />
and integration <strong>of</strong> functions <strong>of</strong> several variables. Course performance standards are available at<br />
www.scf.edu/pages/1160.asp and in the Math Labs.<br />
PREREQUISITES MAC 2312 Calculus II with a grade <strong>of</strong> “C” or better or equivalent. Student Enrollment in any mathematics course is<br />
contingent upon approval <strong>of</strong> the mathematics department. This means that students who have been misplaced may have their<br />
schedule changed.<br />
TEXT: Calculus – Early Transcendental Functions – 7 th edition; Stewart<br />
MATERIALS: A graphing calculator is required. It is allowed during exams. The TI-83/TI-84 or TI-86 is recommended. Calculators with<br />
symbolic manipulation capabilities (e.g. TI-89, TI-92) will not be allowed for use during exams.<br />
ADDITIONAL<br />
MATERIALS:<br />
There is a solutions manual available in the bookstore. The manual contains solutions to selected problems from the exercise<br />
sets in the text.<br />
EXAMINATIONS: There will be four exams and a required comprehensive final examination. NO MAKE-UP EXAMS WILL BE GIVEN.<br />
GRADING: Your grade in the course is determined by the percentage <strong>of</strong> points earned during the semester. A grade <strong>of</strong> 60% or higher<br />
must be earned on the final exam in order to earn a grade <strong>of</strong> A, B, or C.<br />
POINTS SCALE<br />
4 EXAMS 400 90 - 100% = A<br />
Quizzes/Participation/Projects/Homework*<br />
100 80 - 89% = B<br />
Final Exam (cumulative) 200 70 - 79% = C<br />
Total 700 60 - 69% = D<br />
*Your instructor will choose the composition <strong>of</strong> these points.<br />
0 - 59% = F<br />
GORDON RULE: This course meets the <strong>Florida</strong> <strong>State</strong> Board <strong>of</strong> Education Rule Number 6A-10.30. For the purpose <strong>of</strong> this rule, a grade <strong>of</strong> “C”<br />
or better shall be considered successful completion.<br />
ATTENDANCE: All late arrivals, early departures and absences must be discussed and cleared with the instructor. More than 3 hours <strong>of</strong><br />
unexcused absences or excessive tardiness may result in your withdrawal from the course.<br />
ELECTRONICS<br />
POLICY:<br />
Cell phone etiquette must be observed: In-class usage is restricted to emergency situations – this includes texting. Cell<br />
phones are not to be used during tests, not even as a calculator. Inform the instructor before class <strong>of</strong> any extenuating<br />
circumstances. Electronic devices, such as iPods, Blackberries, etc. are not permitted to be used or worn during class.<br />
WITHDRAWAL: In accordance with the <strong>State</strong> <strong>College</strong> <strong>of</strong> <strong>Florida</strong> policy, as stated in the college catalog, students may withdraw from any<br />
course, or all courses, without academic penalty, by the withdrawal deadline listed in the <strong>State</strong> <strong>College</strong> <strong>of</strong> <strong>Florida</strong> academic<br />
calendar. This semester, the withdrawal date is Saturday, July 20, 2013. Students should take responsibility to initiate the<br />
withdrawal procedure but are strongly encouraged to talk with their instructors before taking any withdrawal action. In<br />
addition, students should note that faculty may also withdraw students for violating policies, procedures or conditions <strong>of</strong> the<br />
class, as outlined in individual class syllabi, and such action could affect financial aid eligibility.<br />
MISCONDUCT: Students are required to adhere to statements regarding student misconduct outlined in <strong>of</strong>ficial <strong>State</strong> <strong>College</strong> <strong>of</strong> <strong>Florida</strong><br />
publications including the Catalog and the Student Handbook. The minimal consequence <strong>of</strong> failure to adhere to these<br />
statements is withdrawal from the course.<br />
Course Performance: http://www.scf.edu/Academics/MathematicsScienceTechnologyBusiness/Mathematics/MathematicsCoursePerformanceStandards.asp<br />
ARC: http://www.scf.edu/StudentServices/AcademicResourceCenter/default.asp<br />
Final Exam Schedule: http://www.scf.edu/Academics/FinalExamSchedule.asp
MAC <strong>2313</strong> CALCULUS III SUMMER B 2013<br />
Week Sct. Topics Covered Suggested<br />
Homework Assignments<br />
1<br />
T 6/25 – R 6/27<br />
2<br />
M 7/1 – R 7/4<br />
*R, 7/4<br />
Independence Day-<br />
<strong>College</strong> Closed<br />
3<br />
M 7/8 – R 7/11<br />
4<br />
M 7/15 – R 7/18<br />
5<br />
M 7/22 – R 7/25<br />
6<br />
M 7/29 – R 8/1<br />
M 8/5<br />
T 8/6<br />
R 8/8<br />
12.1<br />
12.2<br />
12.3<br />
12.4<br />
12.5<br />
12.6<br />
13.1<br />
13.2<br />
13.3<br />
13.4<br />
14.1<br />
14.2<br />
14.3<br />
14.4<br />
14.5<br />
14.6<br />
14.7<br />
14.8<br />
15.1<br />
15.2<br />
15.3<br />
15.4<br />
15.5<br />
15.6<br />
15.7<br />
15.8<br />
15.9<br />
15.10<br />
16.1<br />
16.2<br />
16.3<br />
16.4<br />
Three-Dimensional Coordinate Systems<br />
Vectors<br />
The Dot Product<br />
The Cross Product<br />
Equations <strong>of</strong> Lines & Planes<br />
Cylinders & Quadric Surfaces<br />
Review<br />
Test 1<br />
Vector Functions & Space Curves<br />
Derivatives & Integrals <strong>of</strong> Vector Functions<br />
Arc Length & Curvature<br />
Motion in Space: Velocity & Acceleration<br />
Review<br />
Test 2<br />
Functions <strong>of</strong> Several Variables<br />
Limits and Continuity<br />
Partial Derivatives<br />
Tangent Planes & Linear Approximations<br />
The Chain Rule<br />
Directional Derivatives & Gradient Vector<br />
Maximum & Minimum Values<br />
Lagrange Multipliers<br />
Review<br />
Test 3<br />
Double Integrals over Rectangles<br />
Iterated Integrals<br />
Double Integrals over General Regions<br />
Double Integrals in polar Coordinates<br />
Applications <strong>of</strong> Double Integrals<br />
Surface Area<br />
Triple Integrals<br />
Triple Integrals in Cylindrical Coordinates<br />
Triple Integrals in Spherical Coordinates<br />
Change <strong>of</strong> Variables in Multiple Integrals<br />
Review<br />
Test 4<br />
Vector Fields<br />
Line Integrals<br />
The Fundamental Theorem for Line Integrals<br />
Green’s Theorem<br />
1-33 odd<br />
1-33 odd<br />
1-43 odd, 49, 51, 55<br />
1-35 odd<br />
1-73 odd<br />
1-19 odd, 21-28 all, 29-35 odd<br />
1-19 odd, 21-26 all<br />
3-27 odd, 35-41 odd<br />
1-11 odd, 17-31 odd<br />
3-15 odd, 21-27 odd<br />
13-31 odd, 32, 43-49 odd, 59-64 all<br />
5-21 odd, 29-37 odd<br />
9-43 odd, 47-65 odd, 82<br />
1-6 all, 17, 19, 25-33 odd<br />
1-11 odd, 27-35 odd<br />
5-33 odd, 41-46 all<br />
5-19 odd, 29-51 odd<br />
3-43 eoo<br />
11-14 all<br />
1-31 odd<br />
1-53 eoo<br />
1-31 odd<br />
3-23 eoo<br />
1-13 odd, 17, 19<br />
1-21 odd<br />
1-21 odd<br />
1-23 odd, 39, 41<br />
3-27 eoo<br />
11-18 all, 21-32 all<br />
1-25 odd, 39-45 odd<br />
1-19 odd, 23<br />
1-17 odd, 21<br />
Final Exams<br />
Note: The Final Exam Schedule can be viewed at:<br />
http://www.scf.edu/Academics/FinalExamSchedule.asp#Summer<br />
Final Grades Due At 2:00 p.m. For All Summer B Classes<br />
**Note: Saturday, July 20 th is the last day to withdraw without academic penalty (no refund).<br />
Course Performance: http://www.scf.edu/Academics/MathematicsScienceTechnologyBusiness/Mathematics/MathematicsCoursePerformanceStandards.asp<br />
ARC: http://www.scf.edu/StudentServices/AcademicResourceCenter/default.asp<br />
Final Exam Schedule: http://www.scf.edu/Academics/FinalExamSchedule.asp