INTRODUCTION TO MULTIVARIABLE CALCULUS
We have 25 classes in total in Spring 2019.
Homework will be assigned through the online WeBWorK system
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
a poster of Math Support Center.
The Midterm Exam (for ONE HOUR) is scheduled on March 30, 2019 (Saturday).
You will be informed of the time and venue in due course.
Grading Policy: 10% Homework + 30% Midterm Exam + 60% Final Exam.
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