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Syllabus.
This is a description of the course given by Sergey in 2005/6. It is intended to follow this closely. The section numbers refer to Anton edition 8; the 7th edition has the same chapter division but the sections are different.
- Functions
Anton (Calculus): Chapters 1 Sections 1.1, 1.3-1.6 - Limits and Continuity
Anton (Calculus): Chapter 2 - Differentiation of functions of one variable.
Anton (Calculus): Chapter 3. - Antiderivatives and integration.
Anton (Calculus): Chapter 5, Chapter 6 Sections 6.5-6.8, and Chapter 8 Sections 8.1-8.4. - Trigonometric and hyperbolic functions, and the corresponding
inverse functions; logarithmic function, exponential function.
Anton (Calculus): Chapter 7. - Modeling with Differential Equations
Anton (Calculus): Chapter 9 - Polynomials, sequences and series, including simple convergence
tests.
Anton (Calculus): Chapter 10. - Introduction to partial derivatives.
Anton (Calculus): Chapter 14
- Complex numbers.