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MA005: Calculus I
Sections
Course Introduction
Unit 1: Preview and Review
Unit 2: Functions, Graphs, Limits, and Continuity
Unit 3: Derivatives
Unit 4: Derivatives and Graphs
Unit 5: The Integral
Study Guide
Course Feedback Survey
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MA005: Calculus I
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MA005: Calculus I
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◄ Study Guide for MA005: Calculus I
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Course Syllabus
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Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 1.1: Preview of Calculus"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 1.1: Practice Problems"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 1.2: Lines in the Plane"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 1.2: Practice Problems"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 1.3: Functions and Their Graphs"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 1.3: Practice Problems"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 1.4: Combinations of Functions"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 1.4: Practice Problems"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 1.5: Mathematical Language"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 1.5: Practice Problems"
Problem Set 1
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 2.1: Tangent Lines, Velocities, and Growth"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 2.1: Practice Problems"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 2.2: The Limit of a Function"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 2.2: Practice Problems"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 2.3: Properties of Limits"
RootMath: "Solving Limits (Rationalization)"
Khan Academy: "Calculating Slope of Tangent Line Using Derivative Definition"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 2.3: Practice Problems"
Problem Set 2
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 2.4: Continuous Functions"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 2.4: Practice Problems"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 2.5: Definition of a Limit"
Khan Academy: "Epsilon-Delta Limit Definition 1"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 2.5: Practice Problems"
Problem Set 3
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 3.1: Introduction to Derivatives"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 3.1: Practice Problems"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 3.2: The Definition of a Derivative"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 3.2: Practice Problems"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 3.3: Derivatives, Properties and Formulas"
Khan Academy: "Applying the Product Rule for Derivatives"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 3.3: Practice Problems"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 3.4: More Differentiation Problems"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 3.4: Practice Problems"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 3.5: The Chain Rule"
Khan Academy: "Chain Rule Introduction" and "Chain Rule Definition and Example"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 3.5: Practice Problems"
Problem Set 4
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 3.6: Some Applications of the Chain Rule"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 3.6: Practice Problems"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 3.7: Related Rates: An Application of Derivatives"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 3.7: Practice Problems"
Washington State Board for Community and Technical Colleges: Dale Hoffman's Contemporary Calculus: "Section 3.8: Newton's Method for Finding Roots"
Massachusetts Institute of Technology: Christine Breiner's "Using Newton's Method"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 3.8: Practice Problems"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 3.9: Linear Approximation and Differentials"
RootMath: "Linear Approximation"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 3.9: Practice Problems"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 3.10: Implicit and Logarithmic Differentiation"
Khan Academy: "Implicit Differentiation" and "Derivative of x^(x^x)"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 3.10: Practice Problems"
Problem Set 5
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 4.1: Finding Maximums and Minimums"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 4.1: Practice Problems"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 4.2: The Mean Value Theorem and Its Consequences"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 4.2: Practice Problems"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 4.3: The First Derivative and the Shape of f"
RootMath: "First Derivative Test, Example 2"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 4.3: Practice Problems"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 4.4: Second Derivative and the Shape of f"
Khan Academy: "Concavity, Concave upwards and Concave downwards Intervals"
RootMath: "Concavity and the Second Derivative"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 4.4: Practice Problems"
Problem Set 6
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 4.5: Applied Maximum and Minimum Problems"
Khan Academy: "Minimizing Sum of Squares"
Massachusetts Institute of Technology: Christine Breiner's "Minimum Triangle Area"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 4.5: Practice Problems"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 4.6: Infinite Limits and Asymptotes"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 4.6: Practice Problems"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 4.7: L'Hopital's Rule"
Khan Academy: "Introduction to L'Hopital's Rule"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 4.7: Practice Problems"
Problem Set 7
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 5.1: Introduction to Integration"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 5.1: Practice Problems"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 5.2: Sigma Notation and Riemann Sums"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 5.2: Practice Problems"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 5.3: The Definite Integral"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 5.3: Practice Problems"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 5.4: Properties of the Definite Integral"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 5.4: Practice Problems"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 5.5: Areas, Integrals, and Antiderivatives"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 5.5: Practice Problems"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 5.6: The Fundamental Theorem of Calculus"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 5.6: Practice Problems"
Problem Set 8
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 5.7: Finding Antiderivatives"
RootMath: "Integration: U-Substitution"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 5.7: Practice Problems"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 5.8: First Application of Definite Integrals"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 5.8: Practice Problems"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 5.9: Using Tables to Find Antiderivatives"
Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 5.9: Practice Problems"
Problem Set 9
Study Guide for MA005: Calculus I
MA005: Certificate Final Exam
MA005: Saylor Direct Credit Final Exam
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