MATH 1552 Midterm: MATH 1552 GT f18 Exam1G Solution
Document Summary
Unit topics and midterm schedule (i) for midterm 1: sections 4. 9, 5. 1-5. 6, 8. 2-8. 3. Riemann sums, the de nite in- tegral, integration by substitution, area between curves, inte- gration by parts, integration of powers of trig functions, the. Fundamental theorem of calculus. (ii) for midterm 2: sections 8. 4-8. 5, 4. 5, 8. 8, 10. 1-10. 3. Trigonometric substitu- tion, partial fractions, l"hopital"s rule, improper integrals, sequences and in nite series, the integral test. (iii) for midterm 3: sections 10. 4-10. 9. Comparison tests, ratio and root test, alternating series, power series, taylor and maclaurin series. (iv) additional topics for final exam: sections 6. 1-6. 2, 7. 2. Volumes of revolution by disk and shell method, separable di eq. 4. 8: antiderivatives: memorize the de nition of antiderivative on page 281. De nition: a function f is an antiderivative of f on an interval i if f (x) = f (x) for all x in i: memorize and practice utilizing the formulas in table 4. 2 pg.
