MATH 277 (Winter 2016)
"Multivariable Calculus for Engineers and Scientists"
Course Outline
Instructor:
Anatoliy Swishchuk
E-mail: aswish@ucalgary.ca
Office: MS552
Tel.: (403) 220-3274
Office Hours:
TuTh:2:00pm-3:00pm

Place:  CHC 119
(Craigie Hall C (University Theatre))

Lectures Schedule

Tuesday
Thursday
3:30pm-4:45pm (75 minutes), CHC 119
 
3:30pm-4:45pm (75 minutes), CHC 119
 
Lab Sections:
B07: Fridays, 15:30-16:45, ICT 116 (Zijia Wang)
B08: Wednesdays, 10:00-11:15am, MS 527 (Bola Ogunsolu)
B09: Wednesdays, 10:00-11:15am, SH 268 (Zijia Wang)

Syllabus in Brief:
1) Vector Functions
2) Partial Differentiation
3) Applications of Partial Derivatives
4) Multiple Integration

 Important Class Dates:
First Day of Class: Tuesday, January 12, 2016, 3:30pm, CHC 119
Midterm: Out of Class, Friday, March 11, 2016: 18:00-19:30 (ICT 102)
Final Exam:
April 23d, 2016, 12:00-2:00pm (Saturday), KN Gold
Last Day of Class: Tue, April 12, 2016, 3:30pm, CHC 119

Recommended text: 
          Calculus, A Complete Course, 8th Ed., by R.A. Adams and C. Essex, Pearson Education Canada-sold in the University Bookstore

Course Information Sheet
(with course outline, grading system, calendar, notes, attentions, physician/counsellor form, etc.)

Course Web Page:
The current official syllabus for this course is available in the wall pockets across from MS 476 and
on the webpage at www.math.ucalgary.ca Course Listing-Undergraduate.
There is also a web page for this course which contains the course outline, tentative course schedule,  grading scheme, important class dates, etc.
Announcements made in class will be posted there (see end of this web-page). The address of this web page is: http://people.ucalgary.ca/~aswish/math277Winter2016.html/

Class work:
In-class lectures with typical examples

Grading scheme (Course Evaluation):

Assignments (5): 20%
Online using MyMathLab
Midterm (1): 30%
Out of Class: Friday, March 11, 2016: 18:00-19:30 (ICT 102)
Final Exam:  50 %
April 23d, 2016, 12:00-2:00pm (Saturday), KN Gold


Tentative Lectures Schedule for MATH 277
Month
Days
Tuesday/Thursday
Jan
12/14
Lec1/2: Vector Functions (VF), Ch 11:
-Vector Functions of One Variable, 11.1;

-Some Applications of Vector Differentiation (Motion), 11.2; Pictures.
Jan
19/21
Lec3/4:  VF, Ch11:
-Curves and Parametrization, 11.3;

-Curvature and Torsion, 11.4 (use General Parametrization); Pictures
Jan
26/28
Lec5/6: VF, Ch11, and Partial Differentiation (PD), Ch12:
-Curvature and Torsion for General Parametrization, 11.5 SummaryCurvesIn3D
-PD, Ch12: Functions of Several Variables, 12.1 GraphPictureas
Feb
2/4
Lec7/8: PD, Ch12:
-Quadric Surfaces, 10.5; Partial Derivatives, 12.3;
QuadricSurfacesPictures
PicturesL7
-Higher Order Derivatives, 12.4
PartialDeriavtivesPic
Feb
9/11
Lec9/10: PD, Ch12:
-The Chain Rule, 12.5; TheChainRulePic
-Linear Approximation, Differentiability and Differentials, 12.6 (Linearization and Differentials) LinearApproxPic
Feb
14-21
Reading Week-No Classes
Feb
23/25
Lec11/12: PD, Ch12:
-Gradient and Directional Derivatives, 12.7; DirDerivativePic
-Implicit Functions, 12.8
Mar
1/3
Lec13/14: PD, Ch12:
-Multiple Integration (MI), Ch14: Double Integrals, 14.1;
-Iteration of Double Integrals in Cartesian Coordinates, 14.2;
Mar
8/10
Lec15/16: Multiple Integration (MI), Ch14:
-Improper Integrals and a Mean Value Theorem, 14.3;
-Double Integrals in Polar Coordinates, 14.4;
-Triple Integrals, 14.5
Mar
15/17
Lec17/18: MI, Ch14:
-Triple Integrals, 14.5;
-Change of Variables in Triple Integrals, 14.6
Mar
22/24
Lec19/20: MI, Ch14:
-Change of Variables in Triple Integrals, 14.6;
-Applications of Multiple Integrals, 14.7 (2D or 3D Moments and Centre of Mass)
Mar
29/31
Lec21/22: MI, Ch14 and Applications of Partial Dertivatives (APD), Ch13:
-Applications of Multiple Integrals, 14.7 (2D or 3D Moments and Centre of Mass);
-Extreme Values, 13.1
Apr
5/7
Lec23/24: Application of Partial Derivatives (Extreme Values and Lagrange Multipliers), Ch13:
-Extreme Values of Functions Defined on Restricted Domains, 13.2;
-Lagrange Multipliers, 13.3

Apr
12
Lec25: Application of Partial Derivatives (Extreme Values and Lagrange Multipliers), Ch13:
-Lagrange Multipliers, 13.3

Announcements: 
Assignments: Online using MyMathLab (d2l.ucalgary.ca)
Midterm: Out of Class: Friday, March 11, 2016: 18:00-19:30 (ICT 102)
(Official Formula Sheet)
MDTSample
ScantronSheet
Final Exam: April 23d, 2016, 12:00-2:00pm (Saturday), KN Gold
(Official Formula Sheet)
Office Hours Before Final Exam: TR (19&21 April), 12-2pm

 
MATH 277 Weekly Lab Problems, Review Sheets are available at: d2l.ucalgary.ca
MATH 277 Course Announcements will be available at: d2l.ucalgary.ca
This page was updated on April 4, 2016.