Calculus A: Approximate Schedule.
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The content of this class is Chapters 1 - 4 of Single Variable Calculus (Stony Brook Edition). This includes some
review of precalculus with differential calculus studied in detail.
7/14 Functions and Graphs, New functions from old.
(Read Ch 1.1, 1.2);
7/16 Exponential funcition, Inverse functions, logarithm.
7/21 Limits, limit laws, continuous functions.
7/23 Limits involving infinities, velocities, rates of change. (Homework 1 due)
7/28 Derivative, equation of tangent line, linear approximation. What does the derivative say about the function?
7/30 Midterm.
8/4 Derivatives of polynomials, exponentials. product and quotient rule.(Homework 2 due)
8/6 Derivatives of trigonometric functions, chaing rule.
8/11 Implicit differentiation, derivatives of inverse functions, derivative of log.
8/13 Maximum and minimum values, critical values, shapes of curves.(Homework 3 due)
8/18 l'Hospital's rule, optimisation problems. antiderivatives.
8/20 FINAL EXAMINATION