MATERIAL COVERED ON THE EXAM [first edition of the textbook] ... Sections * 0.1-0.3 * 1.1-1.3 * 2.1-2.3 * 3.1-3.5 * 4.1-4.7 [optional: proofs of differentiation formulas (such as the binomial theorem, page 234; product and quotient rules in section 4.2; proof of the chain rule in 4.4; proofs for derivatives of sin x and cos x and proofs for derivatives of inverse trig in section 4.5); as well, "Derivation of key limits" subsection in Section 4.5 is optional. In Section 4.6, the subsection "Acceleration" is optional] * 5.1, 5.3, 5.5, 5.6 [Section 5.1: material from (including) example 5.1.14 to end of section is optional; Section 5.3: L'Hopital's rule only (skip leading behaviour); Section 5.6: the part from Ricker model on page 387 to end of section) is optional] * 6.1-6.7 [Section 6.2: Examples 6.2.14 and 6.2.15 are optional; Section 6.3: Example 6.3.3 is optional; Section 6.4: skip the subsection 'The Integral Function and the Proof of the Fundamental Theorem of Calculus' (bottom of page 461 to end of section); Section 6.6: subsection "Integrals and Mass" (page 495) is optional; Section 6.7: skip the subsections "Applying the Method of Leading Behaviour to Improper Integrals" (pages 504-505), "Comparison Test" (pages 505-506) and "Applying the Method of Leading Behaviour to Improper Integrals" (pages 508-509) ]. Note, 'Integrals and Volumes' is a new addition to the textbook which will be on the exam and you can download this subsection from here. (material labeled optional: it helps you understand things better, but will *not* be on the exam) |