Syllabus for MATH 31B, Sect 1 & 2; Winter 2017 Week Date Section Topic HW (due date) I 1/9 1.1-1.2 Organization, precalc. review HW1 (1/18) 1/11 1.1-1.4, 2.1-2.7 Precalc & limits review 1/13 3.1-3.7 Differentiation review HW2 (1/20) II 1/16 MLK holiday 1/18 3.8-4.7, 7.7 More differentiation review, l'Hopital's rule HW3 (1/25) 1/20 7.1, 7.9 Exponentials & hyperbolic functions HW4 (1/26) III 1/23 7.2, 7.8 Inverse functions, inverse trigs 1/25 7.3 Logs & derivatives thereof 1/26 Midterm I (6-8PM, covers all HW due by today) 1/27 5.1-5.5, 5.7 Integration review HW5 (2/1) IV 1/30 8.1 Integration by parts 2/1 8.2 Trig integrals HW6 (2/6) 2/3 8.3 Trig substitution V 2/6 8.4 Integrals of hyperbolic functions HW7 (2/10) 2/8 8.5 Method of partial fractions I 2/10 8.5 Method of partial fractions II HW8 (2/15) VI 2/13 8.5 Integration techniques, partial fractions 2/15 9.4 Taylor polynomials & Taylor's Theorem 2/16 Midterm II (6-8PM, covers all HW due by today) 2/17 9.4 More on Taylor's Theorem VII 2/20 President's Day holiday 2/22 8.7, 9.1 Improper integrals, applications (arclength) HW9 (2/27) 2/24 11.1 Sequences and limits theoreof VIII 2/27 11.2-11.3 Summing an infinite series, role of positivity HW10 (3/6) 3/1 11.4 Absolute vs conditional convergence 3/3 11.5 Integral test, ratio & root tests HW11 (3/8) IX 3/6 11.6 Power series 3/8 11.7 Taylor series 3/9 Midterm III (6-8 PM, covers all HW due by today) 3/10 --- Differentiation/integration of power series HW12 (3/17) X 3/13 --- Leeway & review HW13 (3/19) 3/15 --- Leeway & review 3/17 --- Leeway & review Sunday 3/19: Final exam 8-11 AM, comprehensive, covers all material above