MTH U242 - Calculus II

Fall 2003

Course Information


Course:	MTH U242, Calculus II,
Time and Place:	MWTh at 4:35 - 5:40 PM, in 201 FR
Textbook:	Thomas’ Calculus, Early Transcendentals (10th Ed.), Finney, Weir, Giordano, Addison Wesley (2001)
Instructor:	Professor Andrei Zelevinsky
Office and phone:	431 LA, x5648
Email:	andrei@neu.edu
Office hours:	Mon., Wed. 11:45 - 12:50 PM, or by appointment

Prerequisites: Knowledge of differential calculus at the level of MTH1123 + some MTH1124, or the equivalent. This semester, Northeastern’s first, MTH U242 is a transitional course; it continues courses begun in the old quarter system. In future semesters, the course will be a continuation of U241, Calculus I.

Outline: The course considers three of the basic ideas of calculus: integrals, differential equations, and power series. Chapters 4–8 of the text are covered.

Topics and Homework Problems:

Week 1, 9/10-9/11
Review basic parts of

§4.1 Indefinite integrals and diff. eqs. §4.4 Riemann sums and definite integrals §4.5 Fundamental theorems of integration §5.2 Volumes by cylindrical shells §4.2 Integration by substitution: #1-5,11-15,21,30,31,33,45,49
§5.1 Volumes by slicing and rotation: 1,4,7,13,15,16,27,33,53

Week 2, 9/15-9/18
Review basic parts of

§4.5 Mean value and fundamental theorems §4.6 Areas between curves §4.7 Numerical approx. (trapezoidal, Simpson) §5.3 Arclength §7.2 Integration by parts: 1,3,11,23,25,26,29,33,45
§7.5 Integral tables: 5,7,11,17,23,30

Week 3, 9/22-9/25
§7.6 L’Hôpital’s rule: 3,5,7,9,16,39
§7.7 Improper integrals: 1,3,7,10,11,21,55,69
Review basic parts of §4.1 on differential equations: 47,50
§5.4 First-order separable differential equations: 1(c),5,6,7,8,16

Week 4, 9/29-10/2
§5.4 First-order separable differential equations (continued): 19,21,22,23
§3.4 Autonomous differential equations, stability, logistic growth: 1,2,3,9,10,11,15,17
§7.3 Partial fractions (nonrepeated linear factors,only): 1,2,9,10,11,15 + solve diff. eq. §3.4: 10,11

Week 5, 10/6-10/9
§6.4 Approximating solutions of diff. eqs. using Euler’s method: 1-6,13(b),14
§6.5 Hyperbolic functions: 13,53,78

Week 6, 10/13-10/16
Monday 10/13 Columbus Day, no class
§6.3 Linear first-order differential equations: 1,3,9,15,17

Week 7, 10/20-10/23
§6.3 Linear first-order differential equations (continued): 25,26,30
Review of integration and differential equations
Midterm Exam: Thursday 10/23

Week 8, 10/27-10/30
§8.1 Limits of sequences: 1,3,5,13,14,19,25
§8.3 Infinite series: 1-4,7,9,10,13,17,22,23,25,27,28,31

Week 9, 11/3-11/6
§8.3 Infinite series (continued): 33,35,37,38,41,42,47
§8.4 Series of nonnegative terms: 1,3,10,11,23,25,27,35,36,45,53,59,64
§8.5 Alternating series, absolute and conditional convergence: 1,2,11-23(odd),27,37,45,47,49,50

Week 10, 11/10-11/13
§8.6 Power series: 1-4,7,11,12,19,29,33,35,39,41(a,b),42(a,b)

Week 11, 11/17-11/20
§8.7 Taylor and Maclaurin series: 1-4,7,9,10,11,17,19,22,25,27,31,32,37,38,45

Week 12, 11/24
Wed. and Thurs. 11/26 and 11/27 Thanksgiving holiday, no classes
§8.8 Applications of power series (beginning): 1,2,3,7

Week 13, 12/1-12/4
§8.8 Approx solutions of diff. eqs. with power series: 15,17,19,21,23,27,29,31-34,37

Week 14, 12/8-12/11
Review

Final Exam: Thursday 12/18, 10:30am-12:30pm, in 151 CN (All students are expected to take the final at the scheduled time).
Allowed: calculators (for numerical calculations only), one sheet of notes.

Grading:The grading will be based on several half-hour quizzes (40%), the midterm (20%), and the final exam (40%).

The coordinator reserves the right to make changes in the syllabus if necessary. It is the individual student’s responsibility to be aware of all assignments and any syllabus changes announced in class.

If you have a concern about the course that cannot be resolved by speaking with the instructor, contact the course coordinator, Professor E. Gover, 549LA, x5652, e.gover@neu.edu, or the Vice Chair of the Mathematics Department, Professor D. King, 447 LA, x5679, donking@neu.edu.

It is University policy that no grade, including an incomplete, can be changed after one year. Exceptions must be authorized by the Academic Standing Committee.

All students without legitimate conflicts will take the final exam at the scheduled time. Do not make travel plans that conflict with the final exam.

Homework:
Sep. 17: read Section 7.2; pp. 553-554, #1, 3, 11, 25, 45.
Sep. 18: p. 553, #23, 26, 29, 33; p. 576, #5, 7, 11, 17, 23, 30.
Sep. 22: read Section 7.6; pp. 584-585, #3,5,7,9,16,39.
Sep. 24: read Section 7.7; pp. 598-599, #1,3,7,11,55,69.
Sep. 25: p. 341, #47, 50; read Section 5.4; p. 451, #1(c),5,6,7,8,16.
Sep. 29: p. 452, #19,21,22,23.
Oct. 1: read Section 3.4; p. 284, #1,2,3,9.
Oct. 2: p. 284, #10,11,15; read Section 7.3; p. 563, #1,2,9,10,15 + solve diff. eq. §3.4: 10,11.
Oct. 6: read Section 6.4; pp. 522-523, #1-6,13(b),14.
Oct. 8: read Section 6.5; pp. 530-531, #13,53,78.
Oct. 9: read Section 6.3 (pp. 503-506); p. 510, #1,3,9,15,17.
Oct. 15: p. 511, #25,26,30.
Oct. 16: p. 350, #17,39; p. 425, #9; p. 553, #5,31; p. 584, #13,21.
Oct. 20: p. 598, #5,47; pp. 451-452, #11,13,24; p. 284, #7,12; p. 563, #7,13.
Oct. 27: read Section 8.1; p. 617, #1,3,5,13,14,19,25.
Oct. 29: read Section 8.3; p. 637, #1-4,7,9,10,13,17.
Oct. 30: p. 637, #22,23,25,27,28,31.
Nov. 3: p. 637, #33,35,37,38,41,42,47.
Nov. 5: read Section 8.4; p. 649, #1,3,10,11,23,25,27.
Nov. 6: p. 650, #35,36,45,53,59,64.
Nov. 10: read Section 8.5; pp. 658-659, #1,2,11,13,15.
Nov. 12: read Section 8.6; p. 668, #1-4,7,11,12.
Nov. 13: pp. 668-669, #19,29,33,35,39,41(a,b),42(a,b).
Nov. 17: read Section 8.7; p. 681, #1-4,7,9,10,11,17,19.
Nov. 19: p. 681, #22,25,27,31,32.
Nov. 20: pp. 681-682, #37,38,45.
Dec. 1: read Section 8.8; p. 690, #1,2,3,7,15,17,19.
Dec. 3: p. 690, #21,23,27.
Dec. 4: pp. 690-691, #29,31,32,37.
Dec. 8: review problems handout.

Quizzes:
Quiz 1: Sep. 15 (on sections 4.2, 5.1).
Quiz 2: Sep. 25 (on sections 7.2, 7.5-7.7).
Quiz 3: Oct. 9 (on sections 5.4, 3.4, 7.3).
Midterm Exam: Oct. 23 (on all the topics studied so far).
Quiz 4: Nov. 6 (on sections 8.1, 8.3).
Quiz 5: Nov. 20 (on sections 8.4, 8.5, 8.6).
Quiz 6: Dec. 4 (on section 8.7).

GRADES

Created: September 17, 2003. Last modified: December 10, 2003.