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INTRODUCTION TO MULTIVARIABLE CALCULUS
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We have 24 classes in total in Spring 2018.
Homework will be assigned through the online WeBWorK system
located at
https://webwork.math.ust.hk/webwork2/.
FYI: WeBWorK is an open-source Online Homework System for mathematics and science courses.
Please note that students can seek help at Math Support Center (MSC). For more information, please go to
MSC webpage.
Here is
a poster of Math Support Center.
The Midterm Exam (for ONE HOUR) is scheduled on
March 24, 2018 (Saturday).
You will be informed of the time and venue in due course.
Grading Policy: 10% Homework + 30% Midterm Exam + 60% Final Exam.
Teaching Schedule
Class 1 - 3
Topic 1. Parametric and Polar Curves
1.1 Parametric equations
1.2 Polar coordinates
1.3 Calculus in polar coordinates
Lecture notes: T1-1-3
Class 4 - 10
Topic 2. Vectors and Vector-Valued Functions
2.1 Vectors in the plane
2.2 Vectors in three dimensions
2.3 Dot products
2.4 Cross products
2.5 Lines and curves in space
2.6 Calculus of vector-valued functions
2.7 Motion in space
2.8 Length of curves
2.9 Curvature and normal vectors
Lecture notes: T2-1-2
Lecture notes: T2-3-4
Lecture notes: T2-5-6
Lecture notes: T2-7-8
Lecture notes: T2-9
Class 11 - 17
Topic 3. Functions of Several Variables
Class 18 - 21
Topic 4. Multiple Integration
Class 22 - 25
Topic 5. Vector Calculus
