Math 211 Multivariable Calculus
Oxford College of Emory University, Spring 2022
Textbook:Â
Single Variable Calculus: Early Transcendentals by James Stewart, 8th Edition.
Software:
None
Topics:
Chapter 4 Applications of Differentiation
4.4 Indeterminate Forms and L'Hospital's Rule
Chapter 5 Integrals
5.5 The Substitution Rule
Chapter 7 Techniques of Integration
7.1 Integration by Parts
7.2 Trigonometric Integrals
7.3 Trigonometric Substitution
7.4 Integration of Rational Functions by Partial Fractions
7.8 Improper Integrals
Additional Topics: Wallis Product and Finite Fourier Series
Chapter 8 Further Applications of Integration
8.1 Arc Length
8.2 Area of a Surface Revolution
Chapter 9 Differential Equations
9.3 Separable Equations
9.5 Linear Equations
Chapter 10 Parametric Equations and Polar Coordinates
10.3 Polar Coordinates
10.4 Areas and Lengths in Polar Coordinates
Chapter 11 Infinite Sequences and Series
11.1 Sequences
11.2 Series
11.3 The Integral Test
11.4 The Comparison Tests
11.5 Alternating Series
11.6 Absolute Convergence and the Ratio and Root Tests
11.8 Power Series
11.9 Representations of Functions as Power Series
11.10 Taylor and Maclaurin Series