Colorado State University
Instructor
Iuliana Oprea
Office: Weber 123
Phone: 491-6751
email: juliana@math.colostate.edu

Office Hours:  M 4.10-5pm
W2-2.50pm,F 1.10-2 pm
and by appt

Course Coordinator: 
Professor Jeanne Duflot 
email: duflot@math.colostate.edu

M261 Section 5
Student Led Website
 
 

Textbook: Calculus, Stewart 4ed 1999

 Exam II - review  
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Quiz & Exam Schedule / Preparation
Top
F 8/24Quiz M 9/10 Quiz F 10/5 EXAM II R 10/26 EXAM III F 11/30 Quiz
F 8/31 Quiz F 9/21 Quiz F 10/12 Quiz F 11/2 Quiz T12/84Quiz
F 9/7 Quiz F 9/28 Quiz F 10/19 Quiz F 11/9 Quiz M 12/14 FINAL 7-9 AM
W 9/12 EXAM I M 10/6 Quiz T 10/23 Quiz F 11/16 Quiz
Exam I Review.  Preparation notes: Covers 13.1-13.7, 14.1-14.3. Review the following topics:
13.1: distance formula, ecuation of a sphere
13.2: operations with vectors: addition, multiplication by a scalar,  standard basis {i,j,k}
13.3: dot product: definition, properties, angle between two vectors, a and b orthogonal if and only if a . b = o
13.4: cross product: definition, properties: cross product is orthogonal to both vectors,  length equal to the aria of the paralellogram, vectors are parallel if and only if cross product is zero.
13.5: parametric equations of the line, vector equation of a line, vector equation of a plane, scalar equation of a plane,  parallel planes, distance from a point to a plane.
13.6: quadric surfaces: standard form, traces, graphical representation.
13.7: cylindrical and spherical coordinates: conversion from one type of coordinates to another one of them; conversion of a given equation of a surface from one tipe of coordinates to another one.

Exam II Review: Chapter 15

  -drawing contour maps of level curves;
  -partial derivatives and chain rule trees
  -tangent planes, linearization of a given function: linear approximation of f at (a,b); the differential dz
  -gradients &  applications: directional derivative (Du), the gradient vector,  tangent planes to level surfaces, normal line, meaning of the gradient vector;
  -finding local & absolute maxima and minima, as well as determining which, if any critical points are saddle points.

Assignment
Top
 
Dates given are dates assigned, not due dates. 
Blue denotes most recent assignment(s).
Date Problems Date Problems Date Problems Date Problems
M 8/20  13.1: 3-17*, 27,31,33,41;  F 9/14 14.3: 33,
14.4: 3-17*, 19,33,
W10/10  16.3:1-27*,33-41*,45,50; T 11/6  17.5:1-7,13-21*;22;
T8/21  13.2: 5,7,9,13,17, 23,27. M 9/17 15.1:11,13,23,29,31,35,39,43
15.2:3,5,6,7,17
F10/12 none assigned W 11/7  17.6:1-23, 29-37*;
W8/22  13.3: 27,29,31,43,45,55. T9/18  15.3: 11-29*, 33,35,45,51,55 M10/15  16.4:1-15*,19-29*,33, F 11/9  none assigned
F 8/24  same as above W9/19 15.4:1-5*,11-15 *,23,25 T10/16  16.5:1-11*,15,17; M 11/12  17.7:5-17*;
M 8/27  13.4: 11, 12, 19, 21, 23,25. F 9/21 15.5:1-11*,15-21* W10/17  16.7:1-11*; T 11/13  none assigned
T 8/28  same as above M 9/24  15.6:3-25*,28,31 F10/19 none assigned W 11/14  17.7:19-27*;
W 8/29  13.5: 5,9,17,23,25,31,41,51,63 T 9/25  15.6:37-41*,33,50 M10/22  16.7:23-37*,16.8:1-23*,29,33,35; F 11/16  17.8:2,3,5,7,8,9,13,15,17
F 8/31  none assigned W 9/26  15.7:1-17* T10/23  Sample Exam 3. M 11/26  Sample Exam 4
M 9/03 No class F 9/28  None assigned W10/24  Review T 11/27  Exam IV, Review
T 9/04  13.6: 3,4,5,6, 9-19*, 21-29,31,41,42 M 10/1  15.7:37,27-33*, 15.Review:49-53* F10/26  none assigned W 11/28  none assigned
W 9/05  13.7: 3-57*, 61 T10/2
Sample exam 2, See Exam II Review
M 10/29  17.1:1-13*; F 11/30  
F 9/07  14.1:11,20,21,30;  W 10/3 none assigned T 10/30  17.2:1-15*;19-22,31,34,37; M 12/06  
M 9/10  14.2: 11-25*,14.3: 1,3,15-19;  Sample Exam 1 F 10/5 none assigned W 10/31  17.3:3-21*;27, 28; W 12/08  
 T 9/11 none assigned, See Exam I Review M10/8  15.8:1-11* F 11/02  none assigned R 12/09  
W 9/12  none assigned  T10/9  16.1:1,5;
 16.2:1,5,11,13,17,25,27;
M 11/05  17.4:1-19*; F 12/10  
*Denotes only odd problems assigned

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