MATH 113 SYLLABUS, FALL 2004 Professor Sachs

COURSE OVERVIEW: The main goals of this course are: to introduce the basic ideas of
calculus and to develop the main results in the subject so students can use their calculus
knowledge in related courses including Math 114 and in their later studies.

TEXT: Thomas' Calculus (Updated Tenth Edition) by Finney et al (Addison-Wesley).

MEETING: Monday, Wednesday 1:30-3:20pm, Science and Tech. I, room 129

OFFICE HOURS: Mon. 3:30-4:20pm, Wed. 12-1:20pm and by appointment.

CONTACTS: email: rsachs@gmu.edu, phone: 993-1464

COURSE WEB PAGE: math.gmu.edu/~rsachs/m113

GRADUATE ASSISTANT: Keith Fox (email: kfox@gmu.edu)

GRADING: Grading will be fair and impartial. It is based on a mixture of graded homework

class participation, quizzes, exams and a final exam. Points used as the basis of the grade will be:

Homework (100); Computer Labs (100); Quiz (100); Three exams (300); Final (200).

        POLICIES: The GMU Honor code is in effect at all times and students are expected to be
fully aware of its requirements. Group work may be part of the course and group members
will truthfully report on non-contributing members. Absence from exams must be for a valid
reason and requires prior notification except in extreme circumstances. DON'T
ARRANGE TO LEAVE BEFORE THE FINAL AND EXPECT TO TAKE IT EARLY.
       Calculators will typically not be permitted for quizzes. They will be allowed for exams but
        be of limited usefulness there.

GIFTS: None will be given as grades. If you need a particular grade, you are responsible
for earning it. We will work with you.

       IMPORTANT DATES:   Last day to drop with no tuition liability: September 14
                                                  Last day to add classes: September 14
                                                  Last day to drop with no academic liability: October 1
                                                  Columbus Day Recess schedule adjustment: Meet on October 12

        For more information, see http://registrar.gmu.edu/calendars.html

EXAM DATES

Exam 1 – Tentative – Monday, Sept. 20

Exam 2 – Tentative – Monday, Oct. 17
Exam 3 -- Tentative -- Monday, Nov. 22

Final Exam – Wednesday, Dec. 15 1:30pm-4:15pm

MATERIAL COVERED AND TENTATIVE SCHEDULE
We will cover most of chapters 1 through 4 in the text. Schedule is tentative!

Week of 8/30: (Sections P.1 - P.5, 1.1) Review and intro to calculus ideas. Limits.
Week of 9/6: (Sections 1.2, 1.3) Limits -- definition, algebra, interpretation.; Infinity as limit.
Week of 9/13: (Sections 1.4 -1.5, 2.1, 3.6) Continuity. Derivative defined. linear approximation.
Week of 9/20: (Sections 2.2, 3.6, 2.3) Derivative of product, quotient,negative power. EXAM 1.
Week of 9/27: (Sections 2.4-2.5) Trig functions; chain rule
Week of 10/4: (Sections 2.6-2.7) Implicit differentiation, related rates.
Week of 10/11: (Sections 2.8- 2.9) Exponentials and their derivatives, the number e, inverse functions, ln x
Week of 10/18: (Sections 3.1 - 3.3) Max-min values. Mean value theorem. Testing with derivatives.
Week of 10/25: (Sections 3.4 - 3.5) Graphical solution of differential equations; modeling EXAM 2.
Week of 11/1: (Sections 3.7) EXAM 2. Newton's method
Week of 11/8: (Sections 4.1) antiderivative and differential equations
Week of 11/15: (Section 4.2 - 4.3) integral rules; estimating with finite sums.
Week of 11/22: (Section 4.4) EXAM 3. Riemann sums and definite integral
Week of 11/29: (Sections 4.5 - 4.6) More FTC, substitution.
Week of 12/6: (Section 4.7) Numerical integration. Review.

GETTING HELP

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