MATH 140 and 141 OER Quick Comparison
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Standard Textbook
Open Educational Resource
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Limits and Derivatives (Chapter 2)
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The Tangent and Velocity Problems (83-87)Pages 124-129
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The Limit of a Function (88-99)Pages 135-151
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Calculating Limits Using the Limit Laws (99-108)Pages 160-174
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The Precise Definition of a Limit (109-118)Pages 194-205
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Continuity (119-130)Pages 179-190
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Limits at Infinity; Horizontal Asymptotes (130-143)Page 86-96
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Derivatives and Rates of Change (143-153)Page 214-227
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The Derivative as a Function (154-165)Page 232-242
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Differentiation Rules (Chapter 3)
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Derivatives of Polynomials and Exponential Functions (173-183)
Page 247-253, 319-323
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The Product and Quotient Rules (183-189)Page 253-256, 769
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Derivatives of Trigonometric Functions (189-197)Page 277-284
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The Chain Rule (197-207)Page 287-296, loosely
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Implicit Differentiation (207-215)Page 309-316
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Derivatives of Logarithmic Functions (215-220)Multiple sources (see PDF)
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Related Rates (241-247)Multiple sources (see PDF)
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Linear Approximations and Differentials (247-254)Page 354-363
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Hyperbolic Functions (254-261)Multiple sources (see PDF)
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Applications of Differentiation (Chapter 4)
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Maximum and Minimum Values (271-280)
Page 169-177 (Lyryx), Page 370-375 (OpenStax)
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The Mean Value Theorem (280-286)Page 379-387
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How Derivatives Affect the Shape of a Graph (287-298)
Page 199-208 (Lyryx), Page 398-402 (OpenStax)
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Indeterminate Forms and L'Hospital's Rule (298-307)Page 454-469
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Optimization Problems (322-334)
Page 210-215 (Lyryx), Page 439-450 (OpenStax)
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Newton's Method (334-340)Page 472-480
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Antiderivatives (340-347)Page 485-496
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