Course Modules

Getting Started

Getting Started
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Getting Started 122108  
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    Welcome to Calculus I Welcome to Calculus I
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    Syllabus pdf Syllabus pdf
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    Contact Information Contact Information
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    Procedures for Starting the Course Procedures for Starting the Course
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    Calendar of Assignments Fall or Spring Term Calendar of Assignments Fall or Spring Term
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  • Assignment
    Proctor Form Dropbox Proctor Form Dropbox
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    Tutoring and Learning Resources Tutoring and Learning Resources
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    MyLab Registration Instructions and Troubleshooting MyLab Registration Instructions and Troubleshooting
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    Test 1 Formula Chart Test 1 Formula Chart
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    Test 2 Formula Chart Test 2 Formula Chart
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    Test 3 Formula Chart Test 3 Formula Chart
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    Test 4 Formula Chart Test 4 Formula Chart
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Pre-Unit Algebra/PreCalculus Review

Pre-Unit Algebra/PreCalculus Review
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    1.1 Functions and their Graphs 1.1 Functions and their Graphs
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    1.2 Combining Functions and Transformations of Graphs 1.2 Combining Functions and Transformations of Graphs
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    1.3 Trigonometric Functions 1.3 Trigonometric Functions
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Unit 1: Limits and Continuity

Unit 1: Limits and Continuity
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    2.2 Limits and Limit Laws 2.2 Limits and Limit Laws
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    2.4 One-Sided Limits and 2.6 Limits involving Infinity 2.4 One-Sided Limits and 2.6 Limits involving Infinity
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    2.5 Continuity 2.5 Continuity
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    2.1, 3.1 and 3.2 Average and Instantaneous Rate of Change and Formal Def of Derivative 2.1, 3.1 and 3.2 Average and Instantaneous Rate of Change and Formal Def of Derivative
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Unit 2: Derivatives

Unit 2: Derivatives
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Unit 2: Derivatives 122111  
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    3.3 Differentiation Rules 3.3 Differentiation Rules
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    3.4 The Derivative as a Rate of Change and 3.5 Derivatives of Trig Functions 3.4 The Derivative as a Rate of Change and 3.5 Derivatives of Trig Functions
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    3.6 The Chain Rule 3.6 The Chain Rule
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    3.8 Derivatives of Inverse Functions and 3.9 Derivatives of Inverse Trig Functions 3.8 Derivatives of Inverse Functions and 3.9 Derivatives of Inverse Trig Functions
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    3.7 Implicit Differentiation 3.7 Implicit Differentiation
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    3.3 Derivatives of Exponential Functions and 3.8 Derivatives of Logarithmic Functions 3.3 Derivatives of Exponential Functions and 3.8 Derivatives of Logarithmic Functions
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    3.10 Related Rates 3.10 Related Rates
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Unit 3: Applications of Derivatives

Unit 3: Applications of Derivatives
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    4.1 & 4.2 Extrema on Closed Intervals and Mean Value Theorem 4.1 & 4.2 Extrema on Closed Intervals and Mean Value Theorem
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    4.3 Monotonic Functions and the First Derivative Test 4.3 Monotonic Functions and the First Derivative Test
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    4.4 Concavity and Curve Sketching 4.4 Concavity and Curve Sketching
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    4.6 Applied Optimization 4.6 Applied Optimization
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Unit 4: Antiderivatives and Integrals

Unit 4: Antiderivatives and Integrals
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    4.8 Antiderivatives and Indefinite Integrals 4.8 Antiderivatives and Indefinite Integrals
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    5.4 The Fundamental Theorem of Calculus and Definite Integrals 5.4 The Fundamental Theorem of Calculus and Definite Integrals
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Additional Resources OpenStax Chapter 1

Additional Resources OpenStax Chapter 1
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    Additional Resources: Open Stax Additional Resources: Open Stax
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    Chapter Readings
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    1 Introduction 1 Introduction
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    1.1 Review of Functions 1.1 Review of Functions
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    1.2 Basic Classes of Functions 1.2 Basic Classes of Functions
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    1.3 Trigonometric Functions 1.3 Trigonometric Functions
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    1.4 Inverse Functions 1.4 Inverse Functions
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    1.5 Exponential and Logarithmic Functions 1.5 Exponential and Logarithmic Functions
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Additional Resources OpenStax Chapter 2

Additional Resources OpenStax Chapter 2
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    Chapter Readings
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    2 Introduction 2 Introduction
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    2.1 A Preview of Calculus 2.1 A Preview of Calculus
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    2.2 The Limit of a Function 2.2 The Limit of a Function
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    2.3 The Limit Laws 2.3 The Limit Laws
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    2.4 Continuity 2.4 Continuity
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    2.5 The Precise Definition of a Limit 2.5 The Precise Definition of a Limit
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Additional Resources OpenStax Chapter 3

Additional Resources OpenStax Chapter 3
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    Chapter Readings
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    3 Introduction 3 Introduction
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    3.1 Defining the Derivative 3.1 Defining the Derivative
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    3.2 The Derivative as a Function 3.2 The Derivative as a Function
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    3.3 Differentiation Rules 3.3 Differentiation Rules
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    3.4 Derivatives as Rates of Change 3.4 Derivatives as Rates of Change
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    3.5 Derivatives of Trigonometric Functions 3.5 Derivatives of Trigonometric Functions
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    3.6 The Chain Rule 3.6 The Chain Rule
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    3.7 Derivatives of Inverse Functions 3.7 Derivatives of Inverse Functions
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    3.8 Implicit Differentiation 3.8 Implicit Differentiation
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    3.9 Derivatives of Exponential and Logarithmic Functions 3.9 Derivatives of Exponential and Logarithmic Functions
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Additional Resources OpenStax Chapter 4

Additional Resources OpenStax Chapter 4
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Additional Resources OpenStax Chapter 4 122117  
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    Chapter Readings
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    4 Introduction 4 Introduction
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    4.1 Related Rates 4.1 Related Rates
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    4.2 Linear Approximations and Differentials 4.2 Linear Approximations and Differentials
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    4.3 Maxima and Minima 4.3 Maxima and Minima
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    4.4 The Mean Value Theorem 4.4 The Mean Value Theorem
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    4.5 Derivatives and the Shape of a Graph 4.5 Derivatives and the Shape of a Graph
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    4.6 Limits at Infinity and Asymptotes 4.6 Limits at Infinity and Asymptotes
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    4.7 Applied Optimization Problems 4.7 Applied Optimization Problems
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    4.8 L’Hôpital’s Rule 4.8 L’Hôpital’s Rule
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    4.9 Newton’s Method 4.9 Newton’s Method
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    4.10 Antiderivatives 4.10 Antiderivatives
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