Math 1411 - Calculus I

Course Materials

The following files are in PDF format. You may need the free Acrobat Reader.

• Syllabus Spring 2020
• Calendar Spring 2020

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Chapter One: Limits and Their Properties

• 1.2 Finding Limits Graphically and Numerically
• 1.3 Evaluating Limits Analytically
• 1.4 Continuity and One-sided Limits
• 1.5 Infinite Limits

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Chapter Two: Differentiation

• 2.1 The Derivative and Tangent Line Problem
• 2.2 Basic Differentiation Rules and Rates of Change
• 2.3 Product and Quotient Rules and Higher-Order Derivatives
• 2.4 The Chain Rule
• 2.5 Implicit Differentiation
• 2.6 Related Rates

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Chapter Three: Applications of Differentiation

• 3.1 Extrema on an Interval
• 3.2 Rolle's Theorem and Mean Value Theorem
• 3.3 Increasing and Decreasing Functions & First Derivative Test
• 3.4 Concavity and the Second Derivative Test
• 3.5 Limits at Infinity
• 3.6 A Summary of Curve Sketching
• 3.7 Optimization Problems
• 3.8 Newton's Method
• Newton's Method PowerPoint

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Chapter Four: Integration

• 4.1 Antiderivatives and Indefinite Integration
• 4.2 Area
• 4.3 Riemann Sums and Definite Integrals
• 4.4 The Fundamental Theorem of Calculus
• 4.5 Integration by Substitution
• 4.6 Numerical Integration

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Chapter Five: Logarithmic, Exponential, and Other Transcendental Functions

• 5.1 The Natural Logarithmic Function: Differentiation
• 5.2 The Natural Logarithmic Function: Integration
• 5.3 Inverse Functions
• 5.4 Exponential Functions: Differentiation and Integration
• 5.5 Bases Other than e and Applications
• 5.7 Inverse Trigonometric Functions: Differentiation
• 5.8 Inverse Trigonometric Functions: Integration
• 5.9 Hyperbolic Functions
• Hyperbolic Functions PowerPoint

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Tables and Formulas

• Calculus Formulas with Integrals
• Tables of Derivatives and Integrals
• Rules of Differentiation and Integration

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In Class Stuff and Such

• Trig Quiz Solutions
• Limit Quiz Solutions
• Exam 1 Review from Feb. 14th Class
• Exam 1 Solutions
• Critical Numbers Worksheet
• Critical Numbers Solutions
• Derivative Applications Solutions
• Exam 2 Solutions
• Limit Review Solutions
• Word Problems Worksheet, Due Monday, April 17th, 2017
• Exam 3 Solutions