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,TI-83 Plus, TI-84, or TI-84 Plus Graphics 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.