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math301 Syllabus

math 301: Calculus II

Text: Calculus Early Transcendentals, 11th edition, Anton, Bivens, and Davis, Wiley, 2015

Prerequisites: math 270 with a grade of C or better.

A TI-83 or TI-84 Graphing Calculator is required.

Sections and Topics

  • Introduction and Review from Calculus I
  • 5.3 Integration by Substitution
  • 5.6 Fundamental Theorem of Calculus; M.V.T.
  • 5.7 Rectilinear Motion
  • 5.8 Average Value of a Function
  • 5.9 Definite Integration and Substitution
  • 5.10 Functions Defined by Integrals
  • 6.1 Area Between Two Curves
  • 6.2 Volumes by Slicing; Disks and Washers
  • 6.3 Volumes by Cylindrical Shells
  • 6.4 Length of a Plane Curve
  • 6.6 Work
  • 6.7 Moments, Center of Gravity, and Centroids
  • 6.8 Fluid Pressure and Force
  • 6.9 Hyperbolic Functions
  • 7.1 Overview of Integration Methods
  • 7.2 Integration by Parts
  • 7.3 Integrating Trigonometric Functions
  • 7.4 Trigonometric Substitution
  • 7.5 Integration using Partial Fractions
  • 7.6 Using Tables of Integrals and C.A.S.
  • 7.7 Numerical Integration
  • 7.8 Improper Integrals
  • 9.1 & 9.2 Sequences and Monotone Sequences
  • 9.3 Infinite Series
  • 9.4 Convergence Tests
  • 9.5 Comparison, Ratio, & Root Tests
  • 9.6 Alternating Series; Absolute Convergence
  • 9.7 Maclaurin and Taylor Polynomials
  • 9.8 Maclaurin and Taylor Series; Power Series
  • 9.9 Convergence of Taylor Series
  • 9.10 Differentiating and Integrating Power Series
  • 10.1 Parametric Equations
  • 10.2 Polar Coordinates
  • 10.3 Tangent Lines, Arc Length, and Area in Polar Coordinates

Last updated 18 August 2016.