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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
Certificate Final Exam
Saylor Direct Credit
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MA005: Calculus I
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-- Course Introduction --
-- Unit 1: Preview and Review --
-- 1.1: Preview of Calculus --
-- 1.2: Lines in the Plane --
-- 1.3: Functions and Their Graphs --
-- 1.4: Combinations of Functions --
-- 1.5: Mathematical Language --
-- Unit 2: Functions, Graphs, Limits, and Continuity --
-- 2.1: Tangent Lines, Velocities, and Growth --
-- 2.2: The Limit of a Function --
-- 2.3: Properties of Limits --
-- 2.4: Continuous Functions --
-- 2.5: Definition of a Limit --
-- Unit 2 Assessment --
Unit 2 Assessment
-- Unit 3: Derivatives --
-- 3.1: Introduction to Derivatives --
-- 3.2: The Definition of a Derivative --
-- 3.3: Derivatives, Properties, and Formulas --
-- 3.4: Derivative Patterns --
-- 3.5: The Chain Rule --
-- 3.6: Some Applications of the Chain Rule --
-- 3.7: Related Rates --
-- 3.8: Newton's Method for Finding Roots --
-- 3.9: Linear Approximation and Differentials --
-- 3.10: Implicit and Logarithmic Differentiation --
-- Unit 3 Assessment --
Unit 3 Assessment
-- Unit 4: Derivatives and Graphs --
-- 4.1: Finding Maximums and Minimums --
-- 4.2: The Mean Value Theorem and Its Consequences --
-- 4.3: The First Derivative and the Shape of a Function f(x) --
-- 4.4: The Second Derivative and the Shape of a Function f(x) --
-- 4.5: Applied Maximum and Minimum Problems --
-- 4.6: Infinite Limits and Asymptotes --
-- 4.7: L'Hopital's Rule --
-- Unit 4 Assessment --
Unit 4 Assessment
-- Unit 5: The Integral --
-- 5.1: Introduction to Integration --
-- 5.2: Sigma Notation and Riemann Sums --
-- 5.3: The Definite Integral --
-- 5.4: Properties of the Definite Integral --
-- 5.5: Areas, Integrals, and Antiderivatives --
-- 5.6: The Fundamental Theorem of Calculus --
-- 5.7: Finding Antiderivatives --
-- 5.8: First Application of Definite Integral --
-- 5.9: Using Tables to Find Antiderivatives --
-- Unit 5 Assessment --
Unit 5 Assessment
-- Study Guide --
-- Course Feedback Survey --
-- Certificate Final Exam --
MA005: Certificate Final Exam
-- Saylor Direct Credit --
MA005: Saylor Direct Credit Final Exam
-- Archived Materials --
MA005: Certificate Final Exam (Attempts before 2021/11/11)
MA005: Certificate Final Exam (Attempts before 2015/04/25)
MA005: Saylor Direct Credit Final Exam (Attempts before 2022/04/30)
MA005: Saylor Direct Credit Final Exam (Attempts before 2018/05/31)
Problem Set 1 (Attempts before 2021/11/11)
Problem Set 2 (Attempts before 2021/11/11)
Problem Set 3 (Attempts before 2021/11/11)
Problem Set 4 (Attempts before 2021/11/11)
Problem Set 5 (Attempts before 2021/11/11)
Problem Set 6 (Attempts before 2021/11/11)
Problem Set 7 (Attempts before 2021/11/11)
Problem Set 8 (Attempts before 2021/11/11)
Problem Set 9 (Attempts before 2021/11/11)
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MA005: Saylor Direct Credit Final Exam
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