Calculus III - Spring 2016
Instructor:Dr.Prince Chidyagwai
Office: Knott Hall 301d
Phone: 410-617-2710
Office Hours: MW 2:00 - 3:30 PM
Email: pchidyagwai@loyola.edu
Course Syllabus
Assignments and Announcements
Webwork:
Online assigments will be available on the course WeBWork site.
Before you begin please review the following webwork guide by Dr O
Your initial login is your loyola e-mail user ID. Your initial password is your Loyola student ID number (without the leading zeros).
Please email me if you have an difficulty with the login process.
Exam 2 (Sections 14.1 -- 15.2) will be in class on Thuesday 7 April
Practice Problems:
3D coordinate system, planes, surfaces
- Section 12.1 --3,4,6,15,21,28,30;
Vectors in 3D, vector addition (parallelogram law), scalar multiplication, vector properties, standard basis, unit vectors
- Section 12.2 -- 4,5,6,13,17,25,26,29
Dot product, orthogonal vectors, scalar and vector projections
- Section 12.3 -- 7,11,15,17,23,39,49
Cross product
- Section 12.4 -- 3,7,8,20,33,35,43,53
Equations of Planes and Lines
- Section 12.5 -- 1,5,10,11,12,19,23,28,31,34,45,48,51,64
Quadratic sufaces
Vector functions
- Section 13.1 -- 1,3,40
- Section 13.2 -- 13,18,19,23,34,35
- Section 13.3 -- 3,5,25
- Section 13.4 -- 15,16,19,22
Contour Lines
Limits
Multivariable functions and Limits
- Section 14.1 -- 9,15,19,23,25,27,32
- Section 14.2 -- 5,8,9,11,14,17,18,39,40
Partial Derivatives and Tangent Planes
- Section 14.3 -- 15,19,33,35,47,53,54,63,74
- Section 14.4 -- 3,5,6,19,21,42
Chain Rule
- Section 14.5 -- 1,5,11,13,14,21,24,27,28,35
Directional derivatives and Langrage Multipliers
- Section 14.6 -- 5,7,9,15,18,23,32,34,41,45,57
- Section 14.7 -- 5,8,15
Double itegrals over rectangular regions and iterated integrals
- Section 15.1 -- 5a,11,14
- Section 15.2 -- 3,9,17,19,21
Double integrals over general regions and over polar regions
- Section 15.3 -- 5,10,14,17,25,30,49,51,52,55
- Section 15.4 -- 1-4,5,6,8,11,15,19,25,29,31
Triple integrals
- Section 15.7 -- 3,5,12,13,14,16,17,19,27
Triple integrals in Cylindrical and Spherical coordinates
- Section 15.8 -- 15,17,18,20,21,22,29,30
- Section 15.9 -- 11,17,18,19,20,25,27,30,39,40
Change of Variables
- Section 15.10 -- 7,8,15,16,17,18,25,26