Calculus by Strang, Gilbert

Table of Contents: “…Chapter 1: Integration -- 1.1 Approximating Areas -- 1.2 The Definite Integral -- 1.3 The Fundamental Theorem of Calculus -- 1.4 Integration Formulas and the Net Change Theorem -- 1.5 Substitution -- 1.6 Integrals Involving Exponential and Logarithmic Functions -- 1.7 Integrals Resulting in Inverse Trigonometric Functions -- Chapter 2: Applications of Integration -- 2.1 Areas between Curves -- 2.2 Determining Volumes by Slicing -- 2.3 Volumes of Revolution: Cylindrical Shells -- 2.4 Arc Length of a Curve and Surface Area -- 2.5 Physical Applications -- 2.6 Moments and Centers of Mass -- 2.7 Integrals, Exponential Functions, and Logarithms -- 2.8 Exponential Growth and Decay -- 2.9 Calculus of the Hyperbolic Functions -- Chapter 3: Techniques of Integration -- 3.1 Integration by Parts -- 3.2 Trigonometric Integrals -- 3.3 Trigonometric Substitution -- 3.4 Partial Fractions -- 3.5 Other Strategies for Integration -- 3.6 Numerical Integration -- 3.7 Improper Integrals -- Chapter 4: Introduction to Differential Equations -- 4.1 Basics of Differential Equations -- 4.2 Direction Fields and Numerical Methods -- 4.3 Separable Equations -- 4.4 The Logistic Equation -- 4.5 First-order Linear Equations -- Chapter 5: Sequences and Series -- 5.1 Sequences -- 5.2 Infinite Series -- 5.3 The Divergence and Integral Tests -- 5.4 Comparison Tests -- 5.5 Alternating Series -- 5.6 Ratio and Root Tests -- Chapter 6: Power Series -- 6.1 Power Series and Functions -- 6.2 Properties of Power Series -- 6.3 Taylor and Maclaurin Series -- 6.4 Working with Taylor Series -- Chapter 7: Parametric Equations and Polar Coordinates -- 7.1 Parametric Equations -- 7.2 Calculus of Parametric Curves -- 7.3 Polar Coordinates -- 7.4 Area and Arc Length in Polar Coordinates -- 7.5 Conic Sections…”
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