MA 16200, Summer 2025

Useful Documents

• Summary of Infinite Series Tests: here
• Common Maclurin Series: here
• Summary of the entire class: here (NOTE: This was from a different university; the content and structure is slightly different)

Lecture Notes

• Lecture 2: Dot and Cross Products
• Lecture 4: Calculating Volumes; Disk and Washer Methods
• Lecture 5: The Shell Method
• Lecture 7: Applications to Physics; Mass and Work Problems
• Lecture 9: Trigonometric Integrals Intro
• Midterm 1 Review: here
• Lecture 13: Partial Fractions (Part II)
• Lecture 15: Sequences and Series Intro
• Lecture 17: Infinite Series
• Lecture 20: The Alternating Series Test
• Lecture 22: Choosing a Convergence Test (blank version here)
• Midterm 2 Review: here
• Lecture 26: Properties of Power Series (Part II)
• Lecture 29: Polar Coordinates (Part I)
• Lecture 31: Calculus in Polar Coordinates (Example 2 to the end)
• Final Exam Review: here

Quizzes

• Quiz 1: Vectors (Sections 13.1-13.4). Solutions here when available.
• Quiz 2: Solids of Revolution (Sections 6.2-6.4). Solutions here when available.
• Quiz 3: Arc Length and Application to Physics (Sections 6.5-(6.7 Part 1)). Solutions here when available.
• Quiz 4: Integration Techniques (Sections 8.1-8.4). Solutions here when available.
• Quiz 5: Integration Techniques Part II, Sequences (Sections 8.5, 8.9, 10.1). Solutions here when available.
• Quiz 6: Sequences and Series Intro (Sections 10.2-10.4). Solutions here when available.
• Quiz 7: Comparison and Alternating Series Tests (Sections 10.5-10.6). Solutions here when available.
• Quiz 8: Ratio and Root Tests, Power Series Intro (Sections 10.7, 10.8, 11.1). Solutions here when available.
• Quiz 9: Taylor Series (Sections 11.2-11.3). Solutions here when available.
• Quiz 10: Polar Coordinates (Sections 11.4, 12.2 (Part 1)). Solutions here when available.