MATH 114, Calculus II

Course Documents

• Spring 2014 Syllabus and Semester Schedule
• Day-by-day Plans, with Assignments: Unit 1, Unit 2, Unit 3
• Guidelines for Written Work

Prep Packets (reading guides, with exercises)

• Review of Prerequisite Material
• Integration by Parts (7.1)
• Trigonometric Integrals (7.2)
• Trigonometric Substitution (7.3)
• Partial Fractions (7.4)
• Strategies for Integration (7.5)
• Numerical Integration (7.7)
• Introduction to Improper Integrals (7.8A)
• Comparison Theorem for Improper Integrals (7.8B)
• Area Between Curves (6.1)
• Volumes by Slices (6.3)
• Volumes by Shells (6.4)
• Average Value (6.5)
• Introduction to Differential Equations (9.1)
• Direction Fields (9.2)
• Separation of Variables (9.3)
• Parametric Curves (10.1)
• Parametric Calculus (10.2)
• Polar Coordinates (10.3)
• Polar Area (10.4)
• Sequences (11.1)
• Introduction to Series (11.2)
• Integral Test (11.3)
• Comparison Test (11.4A)
• Limit Comparison Test (11.4B)
• Alternating Series Test (11.5)
• Absolute Convergence (11.6)
• Power Series (11.8)
• Power Series as Functions (11.9A)
• Differentiation and Integration of Power Series (11.9B)
• Taylor Series (11.10)

Other Supplemental Materials

• Mathematica Notebook: Numerical Integration (7.7) (Right click to download notebook.)
• Mathematica Notebook: Plotting Sequences in Mathematica (Right click to download notebook.)
• Additional Practice Writing Differential Equations Solutions
• Study Guide for Exam 1
• Study Guide for Exam 2
• Final Exam Information

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