#Online calculus 2 course pdf
#Online calculus 2 course manual
#Online calculus 2 course series

Vectors, and vector-valued functions, and vector fields are Partial differentiation and multiple integrationĪre studied with applications. The prerequisites for 18.01 are high school algebra and trigonometry any MITĬovers vector and multi-variable calculus. 18.01 Calculus IĬovers differentiation and integration of functions of one variable, with some basicĪpplications. Some theorems are proved carefully while others are justified informally. Both subjects are offered in both fall and spring. The basic 18.01 - 18.02 calculus sequence is a traditional treatment adapted for MIT Any form of 18.01 credit fulfills the prerequisite for all forms of 18.02. 18.02 can be fulfilled by passing an Advanced Standing Exam or by transfer credit.Įach of 18.01 and 18.02 is offered in several forms, with different course numbers. The 18.01 requirement can also be fulfilled through suitable scores on tests such as Advanced Placement exams or by passing Advanced Standing Exams or by transfer credit. The Mathematics GIR consists of 18.01 and 18.02 or equivalent courses. The two-subject calculus General Institute Requirement (GIR) is designed to introduce the fundamental concepts of the calculus and provide the mathematical foundations on which subjects across MIT build. Mathematics is the common language of science and engineering, and calculus is a part of mathematics that is essential for understanding and describing many aspects of the physical world. Computational Science & Numerical AnalysisĬalculus Calculus - 2 Subjects, 12 Units Each.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.

#Online calculus 2 course series

325-327ġ0.4 The Taylor Series for e^x, sin x, and cos x, pp. 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. 213-219Ħ: Exponentials and Logarithms, pp. 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. 137-145ģ.8 The Mean Value Theorem and l’Hôpital’s Rule, pp. 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.

#Online calculus 2 course pdf

Answers to Odd-Numbered Problems ( PDF - 2.4MB)ġ.3 The Velocity at an Instant, pp.

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. 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.

#Online calculus 2 course manual

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. Published in 1991 by Wellesley-Cambridge Press, the book is a useful resource for educators and self-learners alike.