The syllabus of the course will actually follow the
contents
of the textbook very closely :
Syllabus
Vectors and Geometry
- Vectors in the Plane and Space : 10.1 , 10.2
- Dot and Cross Products : 10.3 , 10.4
- Lines and Planes in Space : 10.5
- Surfaces : 10.6
- Cylindrical & Spherical Coordinates : 10.7
Vector Valued Functions
- Vector Valued Functions : 11.1 , 11.2
- Velocity and Acceleration : 11.3
- Tangent and Normal Vectors : 11.4
- Arclength : 11.5
Functions of Several Variables
- Functions of Several Variables : 12.1
- Limits and Continuity : 12.2
- Partial Derivatives : 12.3
- Differentials : 12.4
- Chain Rules : 12.5
- Directional Derivatives and Gradients : 12.6
- Tangent Planes and Normal Lines : 12.7
- Extrema of Functions of two variables : 12.8
MIDTERM 1 , Friday 15th October , See below for details
- Applications of Exrema : 12.9
- Lagrange Multipliers : 12.10
Multiple Integration
- Iterated Integrals : 13.1
- Double Integral : 13.2
- Polar Coordinates : 13.3
- Mass, Center of Mass : 13.4
- Surface Area : 13.5
- Triple Integrals : 13.6
MIDTERM 2 , Friday 12th November , See below for details
- Triple Integrals in Cylindrical and Spherical Coordinates : 13.7
- Change of Variables: Jacobians : 13.8
Vector Analysis
- Vector Fields : 14.1
- Line Integrals : 14.2
- Conservative Vector Fields and Independence of Path : 14.3
- Green's Theorem : 14.4
- Parametric Surfaces : 14.5
- Surface Integrals : 14.6
- Divergence Theorem : 14.7
- Stokes' Theorem : 14.8
FINAL , Friday 17th December , 11-1:30pm , See below for
details
Homework:
HW01 : 12.1-14,16,20,22,27,34,36,45-48,52,56,68,72
HW02 : 10.1-52,56,70,72
10.2-41,84
10.3-18,48
10.4-10,32
10.5-10,34,39,76,82
HW03 : 10.6-2,24,30,44
10.7-28,93,94
11.1-38,50
11.2-8,38,58
11.3-16,17,20,22
HW04 : 11.4-6,16,20
11.5-10
12.2-2,25,52
12.3-2,20,34,35
HW05 : 12.3-30,71
12.4-10,14,17,33,43
12.5-14,17,26,35,40
HW06 : 12.6-9,28,33,62,63
12.7-12,25,34,53
12.8-25,26,45
HW07 : 12.8-51,57
12.9-1,15,16
12.10-2,5,21,25,35
HW08 : 13.1-14,52,55,62
13.2-28,39,40,49,51,54
13.3-8,19,21
HW09 : 13.3-31,40
13.4-13,22
13.5-11,13
13.6-14,15,22,25
13.7-10,13,18,19,20
HW10 : 13.7-33
REV13-49
13.8-10,20,21
14.1-39,55,60
HW11 : 14.2-4,13,25,32
14.3-15,17
14.4-7,19,23
14.5-20,21,22,26
HW12 : 14.6-16,21,23
14.7-2,7,15
14.8-7,10,20
END
MIDTERM 1 INSTRUCTIONS:
- Study the sections 10.5,10.6,11.3 and CH12 upto sec 12.8
- There will be no new HW assignment on the week of midterm
- Exam Locations: If your lastname is between A-K come to the
class(P113)
if between L-Z go to P131, it's located across the undergraduate office in
the math building
- You're supposed to be ready in the exam place at 12:45
- No calculators are allowed
MIDTERM 2 INSTRUCTIONS:
- Midterm 2 covers 12.9-13.6 (note the change)
- There will be no new HW assignment on the week of midterm
- Exam Locations: If your lastname is between A-K come to the
class(P113)
if between L-Z go to P131, it's located across the undergraduate office in
the math building
- You're supposed to be ready in the exam place at 12:45
- No calculators are allowed
FINAL INSTRUCTIONS:
- Final is cumulative with emphasis on the last chapter. There'll be 4
problems from the last chapter,
2 problems from the previous ones.
- There'll be a review session by your TA on Friday this week, contact
him for the time and place
- Exam Location: ESS-001 , (Earth and Space Sciences)
- You're supposed to be ready in the exam place at 10:55
- No calculators, books and notes are allowed. If you have your book or
notes with you, they should stay in a bag during the exam, not to be seen from
outside.