End of Term Information

Schedule:

Mon Dec 1: Class as usual

Wed Dec 3: Class as usual; in-class instructor evaluation forms and critical-review forms will be given.

Fri Dec 5: Last class

Mon Dec 8: Review Session (pre-midterm material) 7-8 pm in BH 168 with Y. Jiang. (Review sessions are optional.)

Tue Dec 9: Last Section. Homework & quiz (see questions below)

Wed Dec 10: Review Session (applications of differentiation) 7-8 pm in Foxboro Auditorium (in the math building) with B. Wick.

Thu Dec 11: Review Session (integration and antiderivatives) 7-8 pm in BH 168 with K. Stange.

Tue Dec 16: Review Session (general & audience questions) 7-8 pm in Foxboro Auditorium (in the math building) with G. Daskalopoulos.

Wed Dec 17: Final Exam 2 pm in location to be announced on Registrar’s office webpage (not yet available).

Final Homework assignment (due Dec 9)

5.4 14, 28, 40

5.5 12, 18, 20, 26, 34, 44, 62

6.1 10, 20, 24, 30, 38, 48

Review Problems that may help prepare for final exam:

Ch. 1 Review p. 79: 1-20, 23-26.

Ch. 2 Review p. 177: 1-22, 25-26, 31-34

Ch. 3 Review p. 271: 1-42, 44, 46, 49-52, 55-59

Ch. 4 Review p. 362: 1-34, 50, 52-54, 57-59, 65-72

Ch. 5 Review p. 431: 1-5, 7-38, 43-54

Ch. 6 Review p. 468: 1-6

(See over for final content info)

Content of Final:

The final will be cumulative, with an emphasis on material after the midterm. Topics may include, but are not limited to:

Functions, Limits and Algebra: common functions and their graphs, use of fractions, trigonometry, continuity, piecewise functions, exponential and logarithm rules, limit computation techniques (limits at infinity, factoring, conjugates)

Differentiation: the definition of the derivative, computation of the derivative using that definition, computation of tangent lines, rules of differentiation (eg. power, chain, product).

Applications of differentiation: curve sketching, concavity and increase/decrease, critical points and inflection points, l’hospital’s rule, asymptotes, local and global maxima and minima, optimisation problems from word problems, distance and velocity and acceleration.

Integration: the definition of the integral as an area computing using Riemann (rectangle) sums, the Fundamental Theorem of Calculus (know its statement), how to find areas using the FTC, how to differentiate integrals using the FTC, finding antiderivatives, definite and indefinite integrals, finding the area between curves using vertical or horizontal (dy-style) integrals.