A youtube Calculus Workbook (Part I)
Publisher: Bookboon
Published: 2013
ISBN-13: 9788740305388
Table of contents: title: M1: Limits; title: Definition of the limit of a function; title: Limit laws; title: Evaluating limits; title: Squeeze Theorem; title: Applications; title: M1 Sample Quiz; title: Solutions to M1 sample Quiz; title: M2: One-sided limits; infinite limits and limits at infinity; title: one-sided limits: definition; title: one-sided limits: examples; title: M2 Sample Quiz 1: one-sided limits; title: Solutions to the M2 sample Quiz; title: Definition of infinite limits; title: Finding vertical asymptotes; title: Limits at infinity and horizontal asymptotes; title: Finding horizontal asymptotes; title: Slant asymptotes; title: 1M2 sample Quiz 2: infinite limits, limits at infinity, asymptotes; title: 1Solutions to the M2 sample Quiz; title: M3: Continuity and Derivatives; title: Continuity: definition; title: Finding discontinuities; title: The Intermediate Value Theorem; title: M3 Sample Quiz 1: continuity; title: M3 Sample Quiz 1 Solutions; title: Definition of the derivative; title: Derivative as a function; title: Derivative: Examples and applications; title: M3 Sample Quiz 2: derivative; title: 1M3 Sample Quiz 2 Solutions; title: Review for the first 3 modules; title: MOCK TEST; title: Solutions to Mock Test; title: M4: Differentiation Rules; title: Power Rule for differentiation; title: Constant multiple and Sum Rules for derivatives; title: Product Rule for differentiation; title: Quotient Rule for derivatives; title: Differentiation Rules, examples and applications; title: M4 Sample Quiz; title: M4 Sample Quiz Solutions; title: M5: Derivatives of Trigonometric functions; Chain Rule; title: Derivatives of trig functions; title: Derivatives of trig functions: Examples; title: M5 Sample Quiz 1: derivatives of trig functions; title: M5 Sample Quiz 1 Solutions; title: Chain Rule; title: Examples using the Chain Rule; title: M5 Sample Quiz 2: Chain Rule; title: M5 Sample Quiz 2 Solutions; title: M6: Implicit Differentiation; Related Rates Problems; title: Implicit Differentiation; title: Implicit Differentiation: Examples; title: M6 Sample Quiz 1: Implicit Differentiation; title: M6 Sample Quiz 1 Solutions; title: Related Rates: first problems; title: Related Rates: filling up a tank; title: Related Rates: Radar gun; title: Related Rates: moving shadow; title: M6 Sample Quiz 2: Related Rates; title: 1M6 Sample Quiz 2 Solutions; title: Review on modules M4 to M; title: MOCK TEST; title: MOCK TEST 2 Solutions; title: M7: Extreme Values of a function; title: Extrema; title: local extrema and critical values; title: Closed Interval Method; title: M7 Sample Quiz; title: M7 Sample Quiz Solutions; title: M8: the Mean Value Theorem and first derivative Test; title: Rolle’s Theorem; title: The Mean Value Theorem; title: Applications of the Mean Value Theorem; title: M8 Sample Quiz 1: Mean Value Theorem; title: M8 Sample Quiz 1 Solutions; title: Intervals of increase and decrease; title: First Derivative Test: further examples; title: M8 Sample Quiz 2: Intervals of increase and decrease; title: M8 Sample Quiz 2 Solutions; title: M9: Curve Sketching; title: Concavity and inflection points; title: Second derivative Test; title: Curve Sketching: Examples; title: M9 Sample Quiz: Curve Sketching; title: M9 Sample Quiz Solutions; title: M10: Optimization; title: Optimization: First examples and general method; title: Example: an open box; title: Example: the best poster; title: Example: across the marshes; title: Example: the best soda can; title: M10 Sample Quiz: optimization; title: M10 sample Quiz Solutions; title: Review on modules 7 through 1; title: MOCK TEST; title: MOCK TEST 3 Solutions; title: M11: Definite Integral; title: Preliminaries: Sums; title: The area problem; title: Formal definition of the definite integral; title: First examples of definite integrals; title: Properties of integrals; title: M11 Sample Quiz; title: M11 Sample Quiz Solutions; title: M12: Indefinite Integral; title: Antiderivatives; title: Antiderivatives: Examples; title: M12 Sample Quiz: indefinite integrals; title: M12 Sample Quiz Solutions; title: M13: Calculating Integrals; title: Fundamental Theorem of Calculus; title: Proof of the Fundamental Theorem of Calculus; title: M13 Sample Quiz 1: FTC applied; title: M13 Sample Quiz 1 Solutions; title: Substitution for indefinite integrals; title: Substitution for definite integrals; title: Integrals and symmetry; title: M13 Sample Quiz 2: substitution; title: M13 Sample Quiz 2 Solutions; title: M14: areas and other applications; title: Area between two curves; title: M14 Sample Quiz 1: areas; title: M14 Sample Quiz 1 Solutions; title: Arc Length; title: Work; title: M14 Sample Quiz 2: applications; title: M14 Sample Quiz 2 Solutions; title: M15: Volumes; title: Volume by cross-section; title: Volume by cross-section: solids of revolution; title: Volume by cylindrical Shells; title: M15 Sample Quiz: volumes; title: M15 Sample Quiz Solutions; title: Review on Modules 11 through 1; title: MOCK TEST; title: MOCK TEST 4 Solutions; title: Index; title: Endnote