# 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
- 1.2 Finding Limits Graphically and Numerically
- 1.3 Evaluating Limits Analytically
- 1.4 Continuity and One-sided Limits
- 1.5 Infinite Limits
- 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
- 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
- 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
- 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
- Calculus Formulas with Integrals
- Tables of Derivatives and Integrals
- Rules of Differentiation and Integration
- 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

#### Chapter One: Limits and Their Properties

Chapter Two: Differentiation

Chapter Three: Applications of Differentiation

Chapter Four: Integration

Chapter Five: Logarithmic, Exponential, and Other Transcendental Functions

Tables and Formulas

In Class Stuff and Such