Courant Institute New York University FAS CAS GSAS

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 weekly

Exams

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