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Course Syllabus (Overview) | Course Syllabus | ![]() |
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1. FUNCTIONS AND MODELS. | .- Four Ways to Represent a Function. - Mathematical Models: A Catalog of Essential Functions. - New Functions from Old Functions. | ![]() |
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3. DIFFERENTIATION RULES.(2) | .- Implicit Differentiation - Inverse Trigonometric Functions and their Derivatives. | ![]() |
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3. DIFFERENTIATION RULES. (3) 5. INTEGRALS.(1) | .- Derivatives of Logarithmic Functions - Areas and Distances. - The Definite Integral. |
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5. INTEGRALS.(2) | .- Evaluating Definite Integrals - The Fundamental Theorem of Calculus. - The Substitution Rule | ![]() |
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5. INTEGRALS.(3) | .- Integration by Parts. - Additional Techniques of Integration | ![]() |
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6. APPLICATIONS OF INTEGRATION.(1) | .- More about Areas - Volumes - Volumes by Cylindrical Shells. | ![]() |
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6. APPLICATIONS OF INTEGRATION.(2) | .- Arc Length - Average Value of a Function | ![]() |
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11. PARTIAL DERIVATIVES(1) | .- Functions of Several Variables. - Limits and Continuity - Partial Derivatives | ![]() |
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11. PARTIAL DERIVATIVES(2) | .- Partial Derivatives | ![]() |
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12. MULTIPLE INTEGRALS.(1) | .- Double Integrals over Rectangles | ![]() |