Syllabus for Math 135 (Calculus I)

Sections 8-10 (Prof. Weibel)

Spring 2002

  • Lectures meet TTH4 (1:10-2:30) in Pharmacy 115, Busch Campus (lecture table and Office hours)
    Recitations meet Monday afternoons on Livingston Campus:

  • Text: We will cover chapters 1-6 and 12 of Applied Calculus by S.T. Tan, 5th edition, Thomson Learning-Brooks/Cole.
    Except for the homework problems, either the Rutgers customized 4th edition (2000) or the regular hardback (4th) edition of Tan's book may be used.
  • Homework assignments to be turned in and quiz problems are selected from the list of Homework problems
  • There will also be WeBWorKs assignments. These will be due at 3:00 AM Monday morning (before the recitations).
    The first WeBWorK assignment (set #1) will be due Monday January 28, 2002.
  • Exam studying material (formula sheets, review problems, answers);
    More information is available at Math 135 Course Materials

    Course Schedule

    LectureDateSectionstopics
    1 1/22 (Tues) 1.1-1.4 Precalculus review; straight lines
    2 1/24 (Thurs) 2.1-2.3 Functions: graphs, algebra, use in math models; limits
    1/28 (Mon) quizFirst Recitation
    3 1/29 (Tues) 2.4Limits
    4 1/31 (Thurs) 2.4-2.5 One-sided limits and continuity
    5 2/5 (Tues) 2.6 The Derivative
    6 2/7 (Thurs) 3.1,3.2 Differentiation; product, quotient rules
    7 2/12 (Tues) 3.3 Chain Rule
    8 2/14 (Thurs) 3.4,3.5 Marginal functions in economics; higher-order derivatives
    9 2/19 (Tues) 3.6 Implicit Differentiation, related rates
    10 2/21 (Thurs) 3.7 Differentials; error estimation
    11 2/26 (Tues) 1.1-3.7 Catch up and review
    12 2/28 (Thurs) 1.1-3.7 First in-class 80-minute Midterm Exam
    13 3/5 (Tues) 4.1+handout Applications of 1st derivative; MVT; Rolle's Theorem
    14 3/7 (Thurs) 4.2 Applications of 2nd derivative
    15 3/12 (Tues) 4.3 Curve sketching
    16 3/14 (Thurs) 4.4, 4.5 Optimization 1, begin Optimization 2
    3/16-24 SPRING BREAK
    17 3/26 (Tues) 4.5 Optimization 2; word problems
    18 3/28 (Thurs) 5.1-5.3 Exp. and logs; compound interest
    19 4/2 (Tues) 5.4, 5.5 Differentiating exp and logs
    20 4/4 (Thurs) 12.1-12.3 Trig functions and their derivatives
    21 4/9 (Tues) 5.6 Mathematical models with exp (including logistic equation)
    22 4/11 (Thurs) cumulative Second in-class Midterm Exam
    23 4/16 (Tues) 6.1 Antiderivatives; rules of integration
    24 4/18 (Thurs) 6.2 Integration by substitution
    25 4/23 (Tues) 6.3 Area and the definite integral
    26 4/25 (Thurs) 6.4,6.5 Fundamental Theorem of Calculus; evaluating definite integrals
    27 4/30 (Tues)12.4 Integration of Trig Functions
    28 5/2 (Thurs)cumulative Catch up and review
    5/6 (Monday)Last Class Day Review for the Final Exam
    Final Exam 5/9 (Thurs)4-7 PM FINAL EXAM in PHARMACY 115

     Warning about going from 135 to 152 (Calculus II). This is possible but difficult. This link contains information for students interested in computer science, biochemistry, chemistry, physics and math as majors.

    Homework Problems to be turned in during recitation

    Due in recitation:Section/ProblemsSection/Problems Section/Problems
    Monday 1/28/02: S2.1 #32 43; UT#28 S2.2 #28 47 50 S2.3 #15 29; UT#5
    Monday 2/4/02: S2.4 #47 59 78 84; UT#12 S2.5 #12 41 58 79 88S2.5-UT#5,13
    Monday 2/11/02: S2.6 #19 31; UT#3 S3.1 #58 65 S3.2 #51 55; UT#5
    Monday 2/18/02: S3.3 #13 28 59 64 S3.4 #9 11 29 S3.5 #24 31 34
    Monday 2/25/02: S3.6 #23 43 51 54 59 S3.7 #16 23 32 35 Review for exam 2/28
    Monday 3/11/02: S4.1 #25 26 72 82; UT#2 7 S4.2 #77 82
    Monday 3/25/02: S4.3 #28 62 68; UT#2 S4.4 #44 54 58; UT#10 S4.5 #1
    Monday 4/1/02: S4.5 #4 10 19 S5.1 UT#2 6; S5.2 #46 47 S5.3 #14 20 23
    Monday 4/8/02: S5.4 #36 52 55; S5.5 #37 53 58 S12.1 #16 22; S12.2 #20 40 42 S12.3 #33 38 41 50 52
    Monday 4/15/02:Review for exam 4/11
    Monday 4/22/02: S6.1 #25 49 67 73 75 76 S6.2 #3 11 55 57 62
    Monday 4/29/02: S6.3 #2 5 11(c) S6.4 #11 40 44 46 47 S6.5 #40 48 49; UT#5
    Monday 5/6/02: S12.4 #7 15 33 39 43 44 Review for Final Exam 5/9

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    Charles Weibel / weibel@math.rutgers.edu /March 28, 2002