Math 241 -Calculus IV

  • Instructor: Taisong Jing
  • Email: taisong@math.upenn.edu
  • Semester: Summer Session II, 2012
  • Lectures: MTWR, 1:00pm to 3:10pm, DRL 4C2
  • Textbook: D.Zill & M.Cullen, Advanced Engineering Mathematics, 3rd edition
  • Office Hour: MW, 4pm-5pm, DRL 3N2C, or by appointment

    Course Guide

    Course Schedule

    Core Problems

    Old Final Exams

  • Grade Policty:
    • Quiz: 15%, two lowest are dropped
    Midterm: 40%
    Final: 45%

  • Written Project
    • Instruction Possible topics
  • Homework
    • Homework 1(Jul. 02) 17.1: 1, 15, 23, 27, 37, 39; 17.2: 15, 17, 20, 23, 30, 34; 17.3: 1, 4, 7, 10, 16, 17, 25 solution

    Homework 2(Jul. 03) 17.4: 2, 7, 17, 29, 35, 38; 17.5: 1, 3, 10, 11, 16, 19, 21, 22, 25, 28; Old Exam: Fall 10, #9; Fall 06, #11 solution

    Homework 3(Jul. 05) 17.6: 5, 11, 14, 21, 25, 32, 37, 41, 43, 47; 17.7: 1, 10, 13, 16, 19, 22, 29; Old Exam: Fall 09, #5; Fall 08, #6(a), (c); Fall 06, #13 solution

    Homework 4(Jul. 09) 17.8: 1, 10, 13; 18.1: 1, 5, 10, 13, 14, 24, 29; Old Exam: Fall 10, #3; Spring 09, #10 solution

    Homework 5(Jul. 10) 18.2: 7, 9, 13, 19, 21, 23; 18.3: 1, 4, 19, 23; Old Exam: Fall 10, #16; Fall 09, #3; Spring 10, #1; Spring 09, #5 solution

    Homework 6(Jul. 11) 18.4: 1, 5, 10, 11, 17, 23; Old Exam: Fall 11, #1; Fall 10, #13; Fall 09, #2; Fall 06, #2, #5 solution

    Homework 7(Jul. 12) 19.1: 4, 5, 10, 13, 19, 23, 29; Old Exam: Fall 10, #4; Spring 08, #5, #6 solution

    Homework 8(Jul. 16) 19.2: 4, 10, 13, 17, 22, 27; Old Exam: Fall 09, #9; Spring 10, #4; Spring 08, #10, extra credit question; Fall 06, #1 solution

    Homework 9(Jul. 17) 19.3: 4, 7, 11, 13, 17, 22, 23, 25; 19.4: 1, 5, 7, 9, 13, 21; Old Exam: Fall 11, #3; Spring 11, #9; Fall 09, #4, #8; Spring 10, #7; Spring 09, #6; Fall 06, #7 solution

    Homework 10(Jul. 18) 19.5: 4, 5, 15, 17, 22, 29, 31; 19.6: 2, 7, 9; Old Exam: Fall 11, #8; Fall 10, #5, #8; Spring 11, #1, #10; Spring 10, #10, #18; Spring 09, #1 solution

    Homework 11(Jul. 19) 19.6: 14, 27, 30, 31, 32; Old Exam: Fall 11, #11; Fall 10, #6, #15; Fall 09, #1; Spring 10, #3 solution

    Homework 12(Jul. 24) 12.1: 1, 6, 18, 21; 12.2: 1, 5, 7, 13, 17; Old Exam: Fall 11, #9 solution

    Homework 13(Jul. 25) 12.3: 5, 8, 13, 23, 25, 29, 35; 12.4: 2, 5, 10; Old Exam: Fall 11, #2, #5, #14, #15; Spring 11, #2, #15; Spring 10, #6; Fall 08, #8 solution

    Homework 14(Jul. 26) 15.3: 1, 4, 5, 10, 17; Old Exam: Fall 10, #11; Fall 08, #10 solution

    Homework 15(Jul. 30) 12.5: 1(do not need to approximate the eigenvalues), 5(write the square norm in terms of eigenvalue), 7 hint, 11; Old Exam: Fall 11, #4, #10; Fall 10, #12; Spring 11, #4; Fall 09, #6 solution

    Homework 16(Jul. 31) 13.1: 1, 2 suggestion, 8, 19, 28; 13.2: 1, 2, 3, 4; Old Exam: Spring 10, #11; Spring 09, #9; Fall 07, #3 solution

    Homework 17(Aug. 01) 13.3: 2, 3, 4, 5(This is not a standard heat equation, but try the same strategy we summarized); 13.2: 7, 8; 15.4: 1, 2, 3(This is a nonhomgeneous boundary condition, but still try the appropriate transform and see what you get), 4, 6; Old Exam: Fall 11, #6; Fall 10, #7, #10; Spring 11, #6, #7, #14; Spring 10, #5, #14, #20 solution

    Homework 18(Aug. 02) 13.4: 1, 3, 7, 11; 13.2: 11, 12; 13.5: 2, 7, 11, 16; 15.4: 9(the equation's right side should be a second order derivative for wave equation, this is a typo), 10, 15, 16, 18(assume when y goes to infinity the temperature is bounded); Old Exam: Fall 11, #7, #12, #13; Fall 10, #2; Spring 11, #8, #13; Spring 10, #12, #15, #17, #19 solution

    Homework 19(Aug. 06) 14.1: 1, 4, 8, 11; Old Exam: Fall 09, #10 solution

  • Review Session:
    • Review session for complex analysis

    Solutions to review session for complex analysis

  • Quiz Schedule and Coverage:
    • Quiz 1: Thursday, Jul. 05, 17.1-5, solution

    Quiz 2: Tuesday, Jul. 10, 17.6-8 solution

    Quiz 3: Thursday, Jul. 12, 18.1-3 solution

    Quiz 4: Tuesday, Jul. 17, 18.4, 19.1 solution

    Quiz 5: Thursday, Jul. 26, 12.1-2 solution

    Quiz 6: Tuesday, Jul. 31, 12.3-4, 15.3-4 solution

    Quiz 7: Thursday, Aug. 02, 12.5, 13.1-2 solution

  • Exam Schedule:
    • Midterm: Monday, Jul. 23 solution

    Final: Thursday, Aug. 09
  • Scattered plot for midterm
    • plot