Calculus 111-007 Fall 2021

Office Hours

MRF 2:30 - 3:30 pm

Recitation Sheets

• 9/15/2021
• 9/29/2021   Solutions
• 10/06/2021   Solutions
• 10/13/2021   Solutions
• 10/20/2021
• 10/27/2021   Solutions
• 11/03/2021   Solutions
• 11/10/2021   Solutions
• 11/17/2021   Solutions
• 12/01/2021   Solutions

Online Lecture Notes

• Lecture 8 Tangent Lines and the Derivative as a Function
• Lecture 9 The Derivative as a Function (continued)
• Lecture 10 Differentiation Rules
• Lecture 12 The Chain Rule
• Lecture 13 The Chain Rule (continued)
• Lecture 14 Implicit Differentiation
• Lecture 15 Related Rates
• Lecture 16 Related Rates (continued) and Derivatives of Inverse Functions
• Lecture 17 Derivative of Exponential Functions
• Lecture 18 Derivative of Logarithmic Functions
• Lecture 19 e as a Limit and Inverse Trigonometric Functions
• Lecture 20 Review for Exam II
• Lecture 21 Linearisation
• Lecture 22 Linearisation (continued) and Differentials
• Lecture 23 Extreme Values of Functions on Closed Intervals
• Lecture 24 Local Extrema and Critical Points
• Lecture 25 Rolle's Theorem
• Lecture 26 Mean Value Theorem, its Consequences and Monotone Functions
• Lecture 27 Monotone Functions and Second Derivative Test
• Lecture 28 Concavity and Curve Sketching        Curve Sketching Example         Practice Problems
• Lecture 29 Curve Sketching Tips, Examples and Indeterminate Forms
• Lecture 30 Indeterminate Forms and L'Hôpital's Rule
• Lecture 31 Applied Optimization and Newton's Method
• Lecture 32 Antiderivatives
• Lecture 33 Antiderivatives (cont'd) and Integration with Finite Sums
• Lecture 34 Integration with Finite Sums cont'd
• Lecture 35 Sigma Notation and Limits of Finite Sums        Sum Formula        Left and Right Endpoint Rule Relationship
• Lecture 36 The Definite Integral
• Lecture 37 The Fundamental Theorem of Calculus
• Lecture 38 Indefinite Integrals and the Method of Substitution
• Lecture 39 Examples of Substitution and Area between Curves

Quizzes and Their Solutions

• Quiz 2   Solutions
• Quiz 3   Solutions
• Quiz 4   Solutions
• Quiz 5   Solutions
• Quiz 6   Solutions
• Quiz 7   Solutions
• Quiz 8   Solutions
• Quiz 9   Solutions
• Quiz 10   Solutions
• Quiz 11   Solutions
• Quiz 12   Solutions

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