MATH 1920
Second Semester Calculus for Engineers
FALL 2009


Text: Thomas' Calculus, 11'th edition.

Extra Help:

Academic Integrity: Each student in this course is expected to abide by the Cornell University Code of Academic Integrity. In this course, students may work alone or in groups on the homework, but should turn in all homework individually.

Examinations: There are two prelims and a final exam. Calculators and books are not allowed at the exams. At the final exam students may bring a single 8-1/2 x 11 sheet of paper, written or typed on both sides. Students with special needs should contact irena@math.cornell.edu at least 10 days before each exam.
No makeup exams are anticipated. Exam conflicts should not occur because it is the student's duty to resolve these prior to enrolling in the course.

Grading: Out of a total of 450 points: 100 per prelim, 160 for the final, 60 for homework, 30 for section grade.

Homework: Homework from a week's assignment is due in your first TA section of the following week. Late homework will not be accepted (with the exception that students, who enroll late, will be allowed to turn Homework1 in late). At the end of the semester, your lowest two homework scores will be dropped. Two homework problems will be graded each week; we will not announce in advance which problems will be graded. Students may work together on homework, but must write up their work individually.
Solutions to some of the even-numbered homework problems will be posted; solutions to the homework problems in Sections 12.1, 12.2, 12.3, and 12.4 will not be provided.

Week of
Topics
Homework Problems
8/24
12.1 Three-Dimensional Coordinate Systems
Homework 1
12.1: 6,14b,14c,15b,16b,17b,22,28,38,42
8/31
12.2 Vectors
12.3 The Dot Product
12.4 The Cross Product
12.5 Lines
Homework 2
12.2: 18,22,26,34,38,50
12.3: 6,14,19,50
12.4: 8,16,24,38,40
12.5: 2,6,10
9/7
12.5 Lines and Planes in Space
14.1 Functions of Several Variables
14.2 Limits and Continuity in Higher Dimensions
Homework 3
12.5: 23,26,30,32,38,43,45,
46,54,58,61,70
14.1: 2,7,13-18,29,42
14.2: 16,19,22,28,34,39,42
Solutions
9/14
14.3 Partial Derivatives
14.4 The Chain Rule
14.5 Directional Derivatives and Gradient Vectors
Homework 4
14.3: 11,26,31,43,48,50,58
14.4: 10,28,31,35,36
14.5: 3,5,13,16,20
Solutions
9/21
14.6 Tangent Planes and Lines, Normal Lines, Linearization
14.7 Extreme Values and Saddle Points
14.8 Lagrange Multipliers
Homework 5
14.6: 4,14,22,34,43,48,50bc,58
14.7: 6,8,14,33,40,41
14.8: 8,9,27,30,33,34
Solutions
9/28
14.8 Lagrange Multipliers (review)
Review
15.1 Double Integrals
Homework 6
15.1: 8,9,16,24,25,26,30,
37,38,43,45,49
Solutions
Thursday 10/1

7:30-9:00 PM

 PRELIM 1
Covering: sections 12.1 through 14.8.

Students, who need extended time, should contact irena@math.cornell.edu before Sep. 21.

Practice Problems and Solutions

Room Assignments:
Sections 1, 2, 3 in PHL101
Sections 4, 5, 6 in UPSB17
Sections 7, 8, 9, 10, 11, 12, 13, 15 in URHG01
Section 14 in PHL203

Prelim 1 and Solutions

 
10/5
15.2 Areas, First Moments, and Centers of Mass
10.5 and 10.6 Polar Coordinates
15.3 Double Integrals in Polar Form
Homework 7
15.2: 7,12,16,24,33,43
10.5: 2,6de,19,20,58
10.6: 1,2,3,6,7,14,15,16,31
15.3: 4,12,18,21,22
Solutions
10/12
FALL BREAK
15.4 Triple Integrals in Rectangular Coordinates
Reading Assignment: 12.6 Cylinders and Quadric Surfaces
Homework 8
15.4: 3,10,23,24,26,29
12.6: 1-12
Solutions
10/19

15.6 Triple Integrals in Cylindrical and Spherical Coordinates
13.1 Vector Functions
Homework 9
15.6: 10,11,14,17,18,21,34,37,43,62
13.1: 13,22,32,36,37d
Solutions
10/26
13.3 Arc Length and the Unit Tangent Vector
16.1 Line integrals
16.2 Vector Fields, Work, Circulation, and Flux
Homework 10
13.3: 6,9,12
16.1: 1-8,12,15,19,21,24
16.2: 3,11c,16,23b,26,29ac,32,36a,37
Solutions
11/2
16.3 Path Independence, Potential Function, and Conservative Fields
16.4 Green's Theorem
16.5 Surface Area and Surface Integrals
Homework 11
16.3: 3,6,9 14,20,26,27,32
16.4: 3,7,9,11,16,17,18,20,24
16.5: 2,3,5
Solutions
11/9
16.5 Surface Area and Surface Integrals
16.6 Parametrized Surfaces
16.7 Stokes' Theorem
Homework 12
16.5: 17,18,20,25,27,30,32,34
16.6: 3,6,7,10,13,16,
17,19,23,24,27,34
Solutions
11/16
16.7 Stokes' Theorem
Review
16.8 The Divergence Theorem
Homework 13
16.7: 1,3,6,8,10,13,17
Solutions
Thursday 11/19

7:30-9:00 PM

 PRELIM 2
Covering: sections 15.1 through 16.6, and 10.6

Practice Problems and Solutions

Room Assignments:
Sections 1, 2, 3 in MLT228
Sections 4, 5, 6 in UPSB17
Sections 7, 8, 9, 10, 11, 12, in URHG01
Section 13, 14, 15 in HLSB14

Prelim 2 and Solutions

 
11/23
16.8 The Divergence Theorem
THANKSGIVING BREAK
Homework 14
16.8: 1,3,7,9,10
Solutions
11/30

Review

Thursday 12/10
7:00-9:30 PM

FINAL EXAM
Covering: the whole course

Practice Problems and Solutions

Room Assignments:
Sections 1, 2, 3, 4 in IVS305
Sections 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 in STL185

MAKE-UP FINAL on Friday 12/18, 9:00-11:30 am in MLT 253. Contact irena@math.cornell.edu if you need to take the make-up final.