MATH 114, Calculus II, Fall 2015

Course Documents

• Syllabus and Semester Plan
• Detailed unit plans: Unit 1 Plan, Unit 2 Plan, Unit 3 Plan, Unit 4 Plan
• Expectations for written homework

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)
• Average Value (6.5)
• Area Between Curves (6.1)
• Volumes by Slices (6.3)
• Parametric Curves (10.1)
• Parametric Calculus (10.2)
• Polar Coordinates (10.3A)
• Polar Curves and Tangents (10.3B)
• Polar Area (10.4)
• Sequences (11.1)
• Introduction to Series (11.2A)
• The Sum of a Series (11.2B)
• Integral Test (11.3)
• Comparison Test (11.4)
• Alternating Series Test (11.5)
• Absolute Convergence (11.6)
• Power Series (11.8)
• Power Series as Functions (11.9)
• Taylor Series (11.10A)
• Using Power Series (11.10B)

Additional Activities

• Applications of the Integral: Group Presentation Instructions
• Power Series Lab: Instructions, Mathematica Notebook (right click to download)

Quiz and Exam Information

• Quiz 1 (Prerequisites): Explanation, Sample Quiz, Sample Quiz Solutions
• Exam 1 Study Guide
• Exam 2 Study Guide
• Exam 3 Study Guide
• Final Exam: Study Guide, Solutions

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