V63.0221-022: Honors Calculus II
Term: | Spring 2011 |
Lectures: | TThu 11:00am-12:50pm in WWH 317 |
Recitations: | MW in WWH 201 |
Instructor: | Prof. Sylvain Cappell |
Office: | WWH 1112 |
Office hours: | TBD and by appointment |
Phone: | 212-998-3281 |
Email: | cappell@cims.nyu.edu |
Prerequisites
Honors Calculus I with a C or better
Description of the course
This is the second semester to a year long course that will cover the core materials that are usually covered in Calculus II Calculus III and Linear Algebra. Knowledge of the material covered in Calculus I such as Fundamental theorem of Calculus, Chain Rule and max min are assumed. Topics to be covered are: sequences and series, Taylor's theorem, Power series, vectors and vector valued functions, polar coordinates, complex numbers, functions of several variables, partial derivatives, linear functions, matrices, quadratic surfaces, determinals and inverses.
Course Details
Textbook and Materials
Vector Calculus, Linear Algebra and Differential Forms: A Unified Approach, John H Hubbard, Barbara Burke Hubbard, MatrixEditions
Homework
Assigned weeklyExams
Final exam Thursday, May 12, 10:00am-11:50am
Grading policy
To be determined
Calendar
Week | Topic |
---|---|
1 | Sequences, convergence |
2 | Series |
3 | Power series and Taylor series expansion |
4 | Vectors |
5 | Multivariable calculus |
6 | Coordinate changes, polar coordinates |
7 | Complex numbers |
8 | Partial derivatives |
9 | Basic notions in linear algebra |
10 | Quadratic forms |
11 | Matrices and matrix groups |
12 | Critical points, optimization |
13 | Review of the course |