MAT2722

MAT 2322: Calculus III for Engineers
(Fall 2017, Sep. 6 to Dec. 6)

Important dates and deadlines for 2017-2018 academic year are here: http://www.uottawa.ca/important-academic-dates-and-deadlines/

Professor:
Dr. Arian Novruzi
Department of Mathematics and Statistics, office 305E
585 King Edward (KED)
tel: (1 613) 562 5800 ext 3530
email: novruzi@uottawa.ca
web : http://www.mathstat.uottawa.ca/~novruzi

Visit this page frequently.

Lecture hours:

Monday	11:30-13:00	STE G0103
Thursday	13:00-14:30	STE G0103

Office hours:
Wednesday, 11:00-12:30

Prerequisites:
Prerequisites: (MAT 1322 or MAT 1325 or MAT 1332), (MAT 1341 or CEGEP linear algebra). The courses MAT 2322, MAT 2122, MAT 2121 cannot be combined for credits.

Reference:
James Stewart, Calculus. Early transcendentals. 8rth edition.

Course description:
Extrema of functions of several variables. Multiple integration and applications. Vector fields and their derivatives. Curves. Vector differential operators. Line integrals. Surfaces and surface integrals. Theorems of Stokes, Gauss, etc.

The course will cover essentially the chapters 13, 14, 15, 16 of the textbook.

Evaluation:

GRADE	=	0.50*(final exam mark)
	+	0.25*(midterm1 mark)
	+	0.25*(midterm2 mark)

You will write a final exam, of length three hours during the exam period in December, at a date that will be published before the end of the course. It is important to note that to succeed with the course you must have a final grade of at least 50/100 and a final exam mark of at least 40/100.
You will write two midterms, on Oct. 5 and Nov. 13 in class (80 minutes each). In the case you miss one midterm and you have a valid reason (such as a medical certificate) than the weight of the missed midterm will be transferred to your final exam. Otherwise, you will get zero for the missed midterm.
In this link you will find a few past exams.

Calculators:
You can use scientific calculators, such as TI-30, during the midterms and final exam. However, calculators having graphing and programming capabilities, such as formal integration and differentiation, are not allowed.

List of courses and suggested problems
Here you will find the list of topics as developed in class and a list of suggested problems. The suggested problems are to help you to practice and to identify the significant problems. This list is subject to modificication, so visit it frequently.

Date	Lecture	Section	Suggested problems
Sep. 07	Lec. 01	14.1-14.6 Revision. 14.7 Maximum and minimum values.	14.1: 5, 9, 10, 13-22, 23-31, 45-52 14.2: 1, 3, 5-22, 25, 29, 34, 37, 40, 44 14.3: 6, 15, 21, 24, 32, 40, 47, 55, 59 14.4: 2, 13, 16, 25 14.5: 3, 6, 10, 16, 27, 29 14.6: 9, 15, 21, 35, 44 14.7: 1, 3, 7, 12, 15, 16, 17, 27, 29, 31, 36, 38, 41
Sep. 11	Lec. 02	14.7 Maximum and minimum values. 14.8 Lagrange multipliers.	14.8: 3, 5, 9, 15, 16, 17, 18, 19, 23, 24, 43, 49, 50
Sep. 14	Lec. 03	14.8 Lagrange multipliers.
Sep. 18	Lec. 04	15.1 Double integrals over rectangles.	15.1: 1, 4, 5, 10, 11, 13, 17, 28, 31, 36, 37, 40, 49
Sep. 21	Lec. 05	15.2 Double integrals over general domains. 15.3 Double integrals in polar coordinates.	15.2: 3, 5, 6, 7, 10, 11, 12, 13, 16, 17, 21, 23, 25, 37, 45, 52 15.3: 1-6, 7, 9, 12, 13, 15, 17, 21, 23, 26, 29, 40
Sep. 25	Lec. 06	15.4. Applications. 15.5 Surface area.	15.3: 2, 3, 6, 7, 9, 11, 13, 15, 21, 24 15.4: 1, 5, 9, 13, 23, 24
Sep. 28	Lec. 07	15.6 Triple integrals. Applications.	15.6: 2, 3, 4, 7, 9, 11, 13, 15, 17, 18, 25, 26, 27, 29, 33, 35, 41, 43, 45
Oct. 02	Lec. 08	15.7 Triple integrals in cylindrical and spherical coordinates. (9.7 Cylindrical and spherical coordinates). 15.8 Triple integrals in spherical coordinates.	15.7: 1, 2, 3, 9, 11, 15, 18, 22 15.8: 1, 3, 6, 7, 9, 11, 15, 18, 22, 25, 36, 41
Oct. 05		Midterm 1 It will cover all until 15.4.
Oct. 12	Lec. 09	15.9 Change of variables in multiple integrals.	15.9: 2, 5, 7, 9, 11, 13, 15, 19, 21, 23
Oct. 16	Lec. 10	13.1 Vector functions and space curves. 13.2 Derivatives and integral of vector functions.	13.1: 1, 3, 5, 9, 11, 15, 23, 29, 36, 44 13.2: 3, 5, 7, 9, 11, 15, 17, 19, 24, 27, 31, 35, 38
Oct. 19	Lec. 11	13.3 Arc length and curvature	13.3: 1, 3, 7, 9, 13, 18, 43, 55
Oct. 30	Lec. 12	16.1 Vector fields. 16.2 Line integrals.	16.1: 1, 2, 3, 5, 6, 11-14, 21, 23, 25, 29, 31, 36 16.2: 1, 3, 4, 7, 9, 11, 12, 15, 17, 19, 21, 28, 31, 33, 39, 41, 45
Nov. 02	Lec. 13	16.2 Line integrals.
Nov. 06	Lec. 14	16.3 Fundamental theorem for line integrals.	16.3: 3, 7, 9, 13, 15, 17, 19, 21, 23, 25, 2, 29, 35
Nov. 09	Lec. 15	16.3 Fundamental theorem for line integrals. 16.4 Green's theorem.	16.4: 1, 3, 7, 9, 11, 13, 17, 19, 23-29
		Midterm 2 It will cover all the material: 15.5-15.9, 13.1-13.3, 16.1-16.2
Nov. 16	Lec. 16	16.4 Green's theorem.
Nov. 20	Lec. 17	16.5 Curl and divergence.	16.5: 1, 2, 5, 10, 13, 15, 17, 19, 21, 23, 27, 29, 31
Nov. 23	Lec. 18	16.6 Parametric surfaces and their areas.	16.6: 1, 5, 7, 9, 11, 15, 17, 19, 21, 23, 27, 31, 37, 39, 41
Nov. 27	Lec. 10	16.7 Surface integrals. 16.8 Stokes' theorem.	16.7: 1, 2, 3, 5, 7, 9, 10, 13, 14, 17, 19, 24, 31, 42 16.8: 1, 3, 6, 8, 13, 16, 18
Nov. 30	Lec. 20	16.9 The divergence theorem.	16.9: 1, 3, 4, 5, 7, 9, 12, 13, 17, 19, 26, 30
Dec. 04	Lec. 21	Review