MATHEMATICS 2130- 07
(92480)
CALCULUS III (Lecture)
Fall 2017
TR from 9:25am-10:40 AM in BIOS 246
Instructor:Iris Yang
Office: BIOS 155
Office hours:
Monday 9:15am-9:55am at BIOS 155/ ST F213
Tuesday 11:40am-12:45pm at BIOS 155
Wednesday 9:15am-9:55am at BIOS 155/ ST F213
Tutorial center hours at SH C357:
Monday 10:50am-11:50am
Wednesday 10:50am-11:55am
Friday 9:20am-9:40am
Tutorial center phone: 323-343-5374
Email:
Class Website: iyang.pbworks.com
Math 2131- Section 07Workshop
TR from 10:45am-11:35 am in BIOS 246
Instructor for Math 2131 section 07: Iris Yang
Final Exam: Thursday, Dec7th from 9:10am to 11:10am in BIOS 246
General course description: Prerequisites: MATH 2120 with a minimum C grade; students with a grade of less than B- in MATH 2120 must enroll concurrently in MATH 2131. Partial differentiation, multiple integration, vector calculus, line integrals.
Textbook: “Effective in Winter 2017” Calculus: Early Transcendental 2nd ed. Briggs, Cochran, Gillett.
1. Ebook and MyMathLab: ISBN 978-0-321-19991-1 available at
Other Options:
2. Hard copy ISBN 978-0-321-96516-5 with MyMathLabISBN 978-0-321-19991-1
3. Hard copy only ISBN 978-0-321-96516-5
Topical outline: Derivatives of Functions of Several Variables; Multiple Integrals; Vector Functions such as arc length and curvature; Vector Calculus such as line integrals and Green’s theorem.
Student Learning Outcomes: Students who successfully complete Math 2130 will be able to:
1. Sketch cylinders and quadratic surfaces in the three-dimensional coordinate system.
2. Use the vector and scalar equation of a plane to solve problems with lines and planes.
3. Compute the limit of a function of two variables, or show that the limit does not exist.
4. Compute the partial derivatives of a function using the definition or the rules.
5. Compute derivatives using the various chain rules.
6. Compute the directional derivative and the gradient vector of a function; apply these computations to find rates of change of the function.
7. Use the derivative tests of a function of two variables to find local maxima and minima; be able to maximize or minimize a function of two variables on a closed and bounded set in the plane.
8. Use the method of Lagrange multipliers to maximize and minimize functions subject to constraints.
9. Compute double integrals, using polar coordinates if necessary, and triple integrals, using cylindrical coordinates or spherical coordinates if necessary.
10. Use a double or triple integral to find the volume of a region in three-dimensional space.
11. Use multiple integrals to solve physics problems, such as finding the mass of a lamina or a solid.
12. Compute line integrals.
13. Understand and apply Green’s theorem.
Requirements:
1.Participation:Daily attendance is required.
2.Homework:Homework is suggested but will not be collected.
3.Tests. There will be 4 tests during this semester. You must show all work to test questions. An answer withoutany work shown will receive no credit.Cheating will not be tolerated in this class. Cheating includes letting someone copy your work.One of your lowest test score will be dropped. If you miss a test, that test is the one dropped.
4.Final Exam. The comprehensive final exam is onThursday, Dec 7th from 9:10am to 11:10am in BIOS 246
Grading system:
Tests = 700 ptsFinal = 300 pts.
------
Total= 1000 pts. / A: 900pts or above
B: 800pts to 899pts
C: 700pts to 799pts
D: 600 pts or 699pts
F: Below 599 pts
Cutoffs for +/- grades will be determined after the course scores are calculated. Regular attendance, class participation, and improved class performance over time, are factors in deciding borderline grade cases.
ADA statement: Reasonable accommodation will be provided to any student who is registered with the Office of Students with Disabilities and requests needed accommodation.
Academic honesty statement: Students are expected to do their own work. Copying the work of others, cheating on exams, and similar violations will be reported to the University Discipline Officer, who has the authority to take disciplinary actions against students who violate the standards of academic honesty.
Student responsibilities: Students are responsible for being aware of all announcements that are made in class, such as changes in exam dates, due dates of homework and papers, and cancellation of class due to instructor’s absence. Students are responsible for announcements made on days that they are absent.
Students must check their CSULA email account regularly for information from the instructor and the Department. Failure to do so may result in missed deadlines or other consequences that might adversely affect students. Note that you can forward this email account to any other account of your choosing.
Important Dates
August 21 (M) Fall classes begin
September 4 (M) Labor Day; University closed
September 5 (Tu) Last day to Add/ No record drop deadline(use GET to drop)_
November 10 (F) Veterans Day; University closed
November 15 (W) “W” withdrawal period ends for Fall 2017
November 22 (W)Finals Study Day, no classes
November 23-26(Th-Sun) Thanksgiving Holiday; University closed
December 4 (M) Fall 2017 Emergency Withdrawal period ends
December 5-9 (Tu-Sa) Final Examinations
December 15 (F) Fall semester ends
Week / Contents / Suggested Homework problems / IMPORTANT DAYS!!
1
8/21-8/25 / 12.1
12.2 / 12.1: 11,15.17,21,25,31,35.39.41,47,51,55,59,63.67
12.2:11-19(odd);21-29(odd); 31,33,35
2
8/28-9/1 / 12.3
12.4 / 12.3:13,15,19,27,33,37,41-51(odd);53,55
12.4:13,17,23,27,29,33,45,47,53,55,57
3
9/4-9/8 / 12.5 / 12.5:7-15(odd);17,19,21,27,29,31,33,35 / 9/4 Labor Day
Campus Closed
4
9/11-9/15 / Catch-up
Test 1
5
9/18-9/22 / 12.6
12.8 / 12.6:7,11,15,19,21,27,31,35,47
12.8:9-17(odd), 19-31(odd);39,43,51,53,55,57
6
9/25-9/29 / 12.9
13.1 / 12.9:5-13(odd);15-23(odd);29,31.33
13.1:5-13(odd);17-25(odd); 27,31,33,35
7
10/2-10/6 / 13.2
Catch-up / 13.2:7,9,11,13,17-25(odd),27,29,31,33,37,39,41,43,47,49,53,57,63,65
69,71,75
8
10/9-10/13 / Test 2
13.3 /
13.3:7,9,11,15,19,23,25,29,31,33,39,45,
9
10/16-10/20 / 13.4
13.5 / 13.4:7,9,11,13,15,21,25,31,35,39,45
13.5:11,13,15,19,23,29,39,47,51
10
10/23-10/27 / Catch-up
Test 3
11
10/30 - 11/3 / 13.6
13.7 / 13.6:7,11,13,15,21,25,27,31,33,37
13.7:5-11(odd),13,15,17,21,23,27,31,37,41,43
12
11/6-11/10 / 14.1
14.2 / 14.1:9,11,17,19,21,25,27,29,31,37,39
14.2:11,13,15,19,21,25,29,31,33,39,43 / 11/10
Veterans Day; University closed
13
11/13-11/17 / 14.3 / 14.3:9,11,13,15,21,27,33
14
11/20-11/24 / 14.4
Catch-up / 14.4: 11,13,17,19,23,27 / 11/22 No class Meeting
11/23-11/26
Thanksgiving Holiday Closed
15
11/27-12/5 / Test 4
Review
16
12/4-12/8 / Final Exam