CALCULUS III Math 264 Fall 2013

CALCULUS III Math 264 Fall 2016, sections 52051-MATH 264 001 and 52052-MATH 264 002

Instructors: Lectures: MWF 8:00-8:50 DSH-324, Dimiter Vassilev, Associate Professor; Office: SMLC, Office 326; Email: vassilev@unm.edu

Recitation Sections: Section 001 T 8:00-8:50 DSH 324 & Section 002 R 8:00-8:50 DSH 324 TA: Bishnu Sedai; Office: SMLC 306 305; Email: sedai@unm.edu

Office Hours: Monday, Wednesday & Friday 1:30pm-2:30pm or by appointment. However, feel free to stop-by anytime if you have a quick question.

Office Hours of TA: R 10:30-11:30 in SMLC 306 and T&R 9:20-10:20 at the Algebra Table (note the Algebra not Calculus table).

Textbook: Stewart, J., Calculus, 7th edition, with Webassign and E-Book access. CONTENTS : Chapters 12-16: scalar functions of several variables, vector-valued functions of 1 or more variables; partial derivatives; integrals in 2-D, 3-D; line integrals; curl, divergence, Green's Theorem.

NOTE: For Webassign you will need to enter the access code that came with your book or purchase online in order to receive access to the book and the webassign homework. The Class Key I gave you in class (you can also find it on the course website on UNMLearn) puts you in the right class and section.

Catalog Description: Vector operations, vector representation of planes and curves, functions of several variables, partial derivatives, gradient, tangent planes, optimization, multiple integrals in Cartesian cylindrical and spherical coordinates, vector fields, line integrals and Green’s theorem. (I)

Prerequisite: C (not C-) or better in 163.

Please note the following guidelines for the course

CALCULATORS: We will not use any (graphing or non-graphing) calculators on the exams. You are allowed to use calculators on the homework.

HOMEWORK: Daily homework problems are listed on the course website. No makeup or late homework is allowed. The exams will consist of problems similar to those in the homework. You need to work on all homework problems on a daily basis (about 2-3 hours per homework day) in order to be well prepared for the exams. You should be able to write your solutions without referring to the book. While you are encouraged to work in groups and seek help while doing your homework, the final solutions/answers need to be "your own work".

EXAMS: The exam dates are given in the syllabus. No makeup exams will be given unless you contact your instructor ahead of time with a documented “university authorized absence” (illness, family emergency, active participation in scholarly or athletic events). All exams will include multiple-choice questions.

GRADING: Your total course grade is based on your ranking and percentile in the class computed using the in-class exams, homework, and the final exam scaled as follows:
• Three in-class exams: 100 points each (300 total)
• Daily Homework - written homework (highest 20 will be counted, lowest 6 will be dropped) and Webassign homework (highest 8 will be counted, lowest 2 will be dropped): 200 points (70% from written homework and 30% from Webassign homework). Each homework is worth 30 points.
• Final Exam: 200 points
Total: 700 points

To get full credit on any written assignment or exam you need to show all your work in clear and correct mathematical notation. You will be graded based on the work shown. Note on Ws: If you withdraw after the 3rd week of class, you will receive a W. If you do not withdraw, you will receive a letter grade of A,B,C,D or F (and not a W).

RESOURCES to help you succeed:

Your Instructors: this should be your first place to seek help.
Recitation: This is a problem solving session.
Calculus Table: by elevators on 3rd ﬂoor in DSH, start Wed 8/21/2013.
CAPS: see http://caps.unm.edu/subjects/math
Common Calculus III website http://www.math.unm.edu/~nitsche/courses/264/web. NOTE: the rules and homework set in our class supersede all other common Calculus III course rules and assignments.
CATS: Counseling and Therapy Services (Student Health Center, 277-4537) can help with exam anxiety.

ATTENDANCE: Attendance at UNM and homework is mandatory. If you have missed more than 4 classes and/or homework assignments in the ﬁrst three weeks you may be dropped from the course. Similarly, students with absences and lack of work during the rest of the semester may be dropped. Tardiness or early departure may be regarded as absence. Please note that it is the students responsibility to drop the course if he/she stops attending. A failing grade of F may be assigned if the student stops attending and does not drop.

STUDENT BEHAVIOR: Be courteous and respectful towards the class: be on time for lectures, turn oﬀ cell-phones and refrain from talking in class, leaving the classroom in the middle of a lecture or doing any other activity that could be disruptive to the class. Cheating will not be tolerated.

ACCESSIBILITY STATEMENT: We will accommodate students with documented disabilities. During the ﬁrst two weeks of the semester, those students should inform the instructor of their particular needs.

FINAL EXAM: Monday, December 12, 7:30am - 9:30am, please see Final Examination Schedule. Students having conflicts with this examination schedule must notify the appropriate instructor before Friday, November 4, 2016. Any student having more than three examinations scheduled in any one day may notify the instructor of the last examination listed. If notified before November 4, 2016, the instructor shall make arrangements to give a special examination. Conflicts arising as a result of scheduling out of normal hours-pattern or day sequences must be resolved by the instructor of the off-pattern courses. Changes in this examination schedule are not permitted except by formal approval of the instructor’s College Dean.

Math 264 — HOMEWORK: FALL 2016 Sections 001 and 002.

Written homework (hw1 - hw26): the Monday & Wednesday homeworks are due at the beginning of the following lecture class; to help the grader, you are required to write your solutions neatly and clearly, staple the sheets and write your name and homework number in the upper right corner (hw1 or hw8 etc). The grader will pick at random and grade 3 of the problems on each homework.
Webassign homework (whw1-whw10): the Friday homework must be completed on-line on Webassign. It is always due 11:59pm the day before the next lecture class. You are allowed two attempts on each problem. All Webassign problems are graded. Note that the Webassign homework will appear on the Webassign calendar in the week it is due, not in the week it was assigned. Once you submit the homework, you should use the print option in Webassign and print or save the submitted homework for future reference or in case you have questions on it. If you prefer, you can print the homework and workout the problems on paper after which you can enter the answers on-line.
Every written and Webassign homework is worth 30 points.
You should check and do some of the extra problems on the common Calculus III website http://www.math.unm.edu/~nitsche/courses/264/web; these include Level 1 problems (strengthen the basics, often short answer) & Mixed Review (mixed review of earlier material, often slightly more challenging). NOTE: the rules and homework set in our class supersede all other common Calculus III course rules and assignments.

Class Day	due homework	Level 1 practice problems
	M & W homework due the following class;
1 M Aug 22 : §12.1 Cartesian coordinate system.	hw1: §12.1: 9a,11,16,28,30,34,36,38,41	§12.1: 3,4,5,6,7,10,11,27,29,31,33,35,37
2 W Aug 24 : §12.2 Vectors.	hw2: §12.2: 7,20,24,30,32,42,43,47	§12.2: 1,2,6,9,15,19,23,27,29.
3 F Aug 26 : §12.3 Dot Product.	whw1: Webassign due 11:59pm on Sunday	§12.3: 1,5,7,9,11,13,41.
4 M Aug 29 : §12.4 Cross Product.	hw3: §12.4: 7,11,14,15,19,29	§12.4: 1,3,9,10,11,12,13,19.
5 W Aug 31 : §12.5 Lines.	hw4: §12.5: 2,4,6,10	§12.5: 1,17,19.
6 F Sep 2 : §12.5 Planes.	whw2: Webassign due 11:59pm on Tuesday	§12.5: 24,27,31,34,41,45,51,53.
Sep 5 : LABOR DAY
7 W Sep 7 : §12.6 Quadric surfaces.	hw5: §12.6: 4,6,7,12,14,16,20,42	§12.6: 1,3,5,11,13,17,19,21-28,41.
8 F Sep 9 : §13.1 Vector functions. Last day to drop without a grade	whw3: Webassign due 11:59pm on Sunday	§13.1: 1,3,21-26,29,47.
9 M Sep 12 : §13.2 Derivative, tangent vector, unit tangent.	hw6: §13.2: 3,4,8,9,20,24,34,36,38	§13.2: 5,10,13,15,17,35,37,39,40.
10 W Sep 14 : §13.3 Arclength. Curvature.	hw7: §13.3: 3,13,18,24,30. Read 42.	§13.3: 1,5
11 F Sep 16 : §13.4 Velocity and acceleration.	whw4: Webassign due 11:59pm on Sunday	§13.4: 1,3,11,25.
12 M Sep 19 : §14.1 Functions of several variables.	hw8: §14.1: 14,20,25,27,29,36,39,42,44,51,52,65-67	§14.1: 7,13,15,19,21,47,49
13 W Sep 21 : REVIEW
14 F Sep 23 : EXAM 1 (Lectures 1-12)	Review for Exam 1	Exam 1 Solutions
15 M Sep 26 : §14.2 Limits and continuity.	hw9: §14.2: 8,10,18,30,34,36	§14.2: 2,7,33,35
16 W Sep 28 : §14.3 Partial derivatives.	hw10: §14.3: 10,22,30,42,50,52,66,82,84	§14.3: 1,3,5,17,18,31,41,47
17 F Sep 30 : §14.4 Tangent planes, linear approximations, approximating changes.	whw5: Webassign due 11:59pm on Sunday	§14.4: 2,3,11,13,27,35,39
18 M Oct 3 : §14.5 Chain Rule.	hw11: §14.5: 2,9,10,14,22,35,36,49	§14.5: 1,5,7,19,21
19 W Oct 5: §14.6 Directional derivatives and gradients (2D).	hw12: §14.6: 2,4,8,11,14,22,27	§14.6: 1,5,7,13,21,23
20 F Oct 7 : §14.6 Directional derivatives and gradients (3D).	whw6: Webassign due 11:59pm on Sunday	§14.6: 3,17,25,33,41
21 M Oct 10 : §14.7 Maxima and minima (open domains).	hw13: §14.7: 4,10,16,18,40	§14.7: 3,11,13,15
22 W Oct 12 : §14.7 Maxima and Minima (closed and bounded domains).	hw14: §14.7: 32,34,36,42	§14.7: 31,35
Oct 14 FALL BREAK
23 M Oct 17 : §14.8 Lagrange multipliers.	hw15: §14.8: 1,3,4,6,20	§14.8: 1,5,15
24 W Oct 19 : REVIEW
25 F Oct 21 : EXAM 2 (Chapter 14) will cover all topics above, see also the Review.	Review for Exam 2	Exam 2 Solutions
26 M Oct 24 : §15.1 Double integrals over rectangles.	hw16: §15.1: 2a,6,7,8,12(also graph the solid),18	§15.1: 1,11,13,17.
27 W Oct 26 : §15.2 Iterated integrals.	hw17: §15.2: 10,12,13,15,18,22,27,36.	§15.2: 1,7,9,17,23,25.
28 F Oct 28 : §15.3 Double integrals over general regions.	whw7: Webassign due 11:59pm on Sunday	§15.3: 1,3,5,13,19.
29 M Oct 31 : §15.4 Double integrals in polar coordinates.	hw18: §15.4: 4,8,11,12,14,20,22,26,32,34	§15.4: 1,3,9,17,19
30 W Nov 2 : §15.5 Applications and review.	hw19: §15.5: 5,7,11,12	§15.5: 5,7,11,12
31 F Nov 4 : §15.7 Triple integrals.	whw8: Webassign due 11:59pm on Sunday	§15.7: 13,17,33
32 M Nov 7 : §15.8 Triple integrals in cylindrical coordinates.	hw20: §15.8: 6,8,12,15,16,18,23,24,30.	§15.8: 3,5,9,11,17,19,21,29.
33 W Nov 9 : §15.9 Triple integrals in spherical coordinates.	hw21: §15.9: 6,8,12,15,18,19,24,26,36,40	§15.9: 1,5,7,9,11,13,17,21.
34 F Nov 11 : REVIEW Last day to drop without Dean’s approval	whw9: Webassign due 11:59pm on Tuesday - long assignment; expect to spend about 3 hours; plan accordingly
35 M Nov 14 : §16.1 Vector fields.	hw22: §16.1: 6,8,15-18,22,24,26,29-32.	§16.1: 1,5,7,21
36 W Nov 16 : REVIEW
37 F Nov 18 : EXAM 3 (Chapter 15 & §16.1)		Exam 3 Solution
38 M Nov 21 : §16.2 Line integrals I: ∫f (x, y, z) ds (such as arclength).	hw23: §16.2: 3,6,10,11.	§16.2: 1,9
39 W Nov 23 : §16.2 Line integrals II ∫ F(x, y, z) · dr (such as work, circulation).	hw24: §16.2: 5,8,17,18,29,40,42.	§16.2: 15,19,21.
Nov 25 : THANKSGIVING BREAK
40 M Nov 28 : §16.3 Fundamental theorem for line integrals	hw25: §16.3: 2,4,11,12,14,16,18,20,25,28.	§16.3: 1,3,5,19
41 W Nov 30 : §16.4 Green’s Theorem.	hw26: §16.4: 2,6,8,12,14.	§16.4: 1,5,7,9,11.
42 F Dec 2 : §16.5 Curl and divergence.	whw10: Webassign due 11:59pm on Sunday	§16.5: 1,3,9,11,13,19.
Dec 5 - Dec 9 : Catch-up/Review Final Review Answers to Final Review Practice Problems for the Final Exam (includes a review of Exams 1, 2 and 3)
Monday, Dec 12 : CUMULATIVE FINAL EXAM (7:30-9:30 am, Room MITCH-220 Note the room!). NOTE: The date, time and the room are different than those posted on the UNM schedule. For questions about this schedule contact Prof. Nitsche nitsche@math.unm.edu