589-598ġ6: Mathematics after Calculus, pp. 541-548ġ5.6 Stokes’ Theorem and the Curl of F, pp. 527-535ġ4.4 Cylindrical and Spherical Coordinates, pp. 514-520ġ4.2 Changing to Better Coordinates, pp. 504-513ġ3.7 Constraints and Lagrange Multipliers, pp. 490-496ġ3.6 Maxima, Minima, and Saddle Points, pp. 480-489ġ3.4 Directional Derivatives and Gradients, pp. 472-474ġ3.3 Tangent Planes and Linear Approximations, pp. 464-471ġ3.1 Surface and Level Curves, pp. 459-463ġ2.4 Polar Coordinates and Planetary Motion, pp. 453-458ġ2.3 Tangent Vector and Normal Vector, pp. 435-445ġ2.2 Plane Motion: Projectiles and Cycloids, pp. 425-434ġ1.5 Linear Algebra in Three Dimensions, pp. 416-424ġ1.4 Matrices and Linear Equations, pp. 398-406ġ1.3 Cross Products and Determinants, pp. 385-390ġ1.1 Vectors and Dot Products, pp. 325-327ġ0.4 The Taylor Series for e^x, sin x, and cos x, pp. Apostol - Provides a good transition into linear algebra which is uncommon in single variable calculus texts. 374-380ġ0.3 Convergence Tests: All Series, pp. 356-359ġ0.2 Convergence Tests: Positive Series, pp. 351-355ĩ.3 Slope, Length, and Area for Polar Curves, pp. 348-367ĩ.2 Polar Equations and Graphs, pp. 328-335ĩ: Polar Coordinates and Complex Numbers, pp. 311-319Ĩ.3 Area of a Surface of Revolution, pp. 311-347Ĩ.1 Areas and Volumes by Slices, pp. 294-299Ĩ: Applications of the Integral, pp. 283-310ħ.3 Trigonometric Substitutions, pp. 259-266Ħ.6 Powers Instead of Exponentials, pp. 242-251Ħ.5 Separable Equations Including the Logistic Equation, pp. 228-282Ħ.3 Growth and Decay in Science and Economics, pp. FSc Part 2 Solutions Calculus and Analytic Geometry, MATHEMATICS 12 Notes (Solutions) of Calculus. 213-219Ħ: Exponentials and Logarithms, pp. Easy notes that contain all the important questions. Calculus Workbook For Dummies serves up the concept review and practice problems with an easy-to-follow, practical approach. 206-212ĥ.7 The Fundamental Theorem and Its Consequences, pp. 195-200ĥ.6 Properties of the Integral and the Average Value, pp. 187-194ĥ.4 Indefinite Integrals and Substitutions, pp. 164-170Ĥ.4 Inverses of Trigonometric Functions, pp. 160-163Ĥ.3 Inverse Functions and Their Derivatives, pp. 154-159Ĥ.2 Implicit Differentiation and Related Rates, pp. 146-153Ĥ.1 Derivatives by the Charin Rule, pp. It uses differential forms and pullback, but only in low dimensions and very gently. It treatment uses history and the motivation of physical problems to give intuition. Don’t let the title fool you, this book is a math book. 137-145ģ.8 The Mean Value Theorem and l’Hôpital’s Rule, pp. Second Year Calculus: From Celestial Mechanics to Special Relativity by Bressoud. 130-136ģ.7 Newton’s Method and Chaos, pp. 105-111ģ.5 Ellipses, Parabolas, and Hyperbolas, pp. 96-104ģ.3 Second Derivatives: Minimum vs. 91-153ģ.2 Maximum and Minimum Problems, pp. 71-77ģ: Applications of the Derivative, pp. 64-70Ģ.5 The Product and Quotient and Power Rules, pp. 58-63Ģ.4 Derivative of the Sine and Cosine, pp. 44-49Ģ.3 The Slope and the Tangent Line, pp. 34-35Ģ.1 The Derivative of a Function, pp. Answers to Odd-Numbered Problems ( PDF - 2.4MB)ġ.3 The Velocity at an Instant, pp.Courants book, you will learn a great deal about single-variable calculus. The videos, which include real-life examples to illustrate the concepts, are ideal for high school students, college students, and anyone interested in learning the basics of calculus. The standard college calculus textbooks (popular examples are Anton, Larson. MIT Professor Gilbert Strang has created a series of videos to show ways in which calculus is important in our lives. The complete textbook is also available as a single file. There is also an online Instructor’s Manual and a student Study Guide. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications. In addition to a collection of 10 problems there are also some selected additional problems from old exams and reviews.Published in 1991 by Wellesley-Cambridge Press, the book is a useful resource for educators and self-learners alike. The following are weekly quiz banks from Fall 2019.
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