Course: Math 32B, Calculus of Several Variables

Text: J. Stewart, Calculus, 4th Ed., Brooks/Cole Pub. Co.

Schedule of Lectures:
 Section 6.5: Review of integration, average value of a function Section 8.7: Numerical integration, trapezoidal rule, Simpson's rule, error estimates Section 6.1: Areas between curves Section 6.2: Volumes Section 6.3: Volumes by cylindrical shells Section 6.4: Work Section 7.1: Inverse functions Section 7.2-4: Exponential and logarithmic functions Section 10.4: Exponential growth and decay Section 7.5-6: Inverse trigonometric functions; hyperbolic functions Section 7.7: Indeterminate forms Section 8.1: Integration by parts Section 12.12: Taylor's theorem with remainder Section 8.2-3: Trigonometric integrals; trigonometric substitution Section 8.4: Partial fractions Section 8.8: Improper integrals Section 9.1-2: Arc length, area of surface of revolution Section 10.1-2: Differential equations, direction fields Section 10.3: Separable DE's, homogeneous DE's Section 10.6: First-order linear DE's